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<cvs_file>salus_mathe_040_en_1667.xml</cvs_file>

<cvs_version></cvs_version>

</info> <text> <front> <section> <pb/><p type="head">

</info> <text> <front> <section> <pb xlink:href="040/01/001.jpg"/><p type="head">

<s>MATHEMATICAL <lb/>Collections <emph type="italics"/>and<emph.end type="italics"/> Tran&longs;lations: <lb/><emph type="italics"/>In two<emph.end type="italics"/><lb/>TOMES.</s></p><pb/><pb/><p type="head">

<s>MATHEMATICAL <lb/>COLLECTIONS <lb/>AND <lb/>TRANSLATIONS: <lb/>THE FIRST <lb/>TOME. <lb/><emph type="italics"/>IN TWO PARTS.<emph.end type="italics"/></s></p><p type="head">

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<s>By <emph type="italics"/>THOMAS SALUSBURY, <expan abbr="E&longs;q.">E&longs;que</expan><emph.end type="italics"/></s></p><p type="head">

<s>LONDON, <lb/>Printed by WILLIAM LEYBOURN, MDCLXI.</s></p><pb/><pb/></section><section><p type="head">

<s>LONDON, <lb/>Printed by WILLIAM LEYBOURN, MDCLXI.</s></p><pb xlink:href="040/01/004.jpg"/><pb xlink:href="040/01/005.jpg"/></section><section><p type="head">

<s>To the Noble and mo&longs;t perfectly Accompli&longs;hed <lb/>S^{t.} JOHN DENHAM <lb/>Knight of the Noble Order of the <lb/>BATH, <lb/>And Surveyor General of his Ma^{ties} Works, &c.</s></p><p type="main">

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<s>Were it a Work of my <lb/>own, or I any thing but the Tran&longs;la<lb/>tour, I should ma&longs;ter my Thoughts to a meaner <lb/>Dedication; But being a Collection of &longs;ome of <lb/>the greate&longs;t Ma&longs;ters in the World, and never <lb/>made English till now, I conceived I might <lb/>&longs;ooner procure their Welcome to a per&longs;on &longs;o <lb/>eminent for Noble Candor, as well as for all <lb/>tho&longs;e Intellectual Excellencies wherewith <lb/>Your Rich Soulis known to be furnished. </s>

<s>I <lb/>re&longs;olv'd to be as kind to this Book as I could, <pb/>and &longs;eriou&longs;ly con&longs;idering which way to effect <lb/>it, I at la&longs;t concluded to prefix Your Name, <lb/>whom His Maje&longs;ty and all his Subjects, (who <lb/>have a higher Sen&longs;e and Judgement of Excel<lb/>lent Parts) know be&longs;t able to defend my Im<lb/>perfections. </s>

<s>I <lb/>re&longs;olv'd to be as kind to this Book as I could, <pb xlink:href="040/01/006.jpg"/>and &longs;eriou&longs;ly con&longs;idering which way to effect <lb/>it, I at la&longs;t concluded to prefix Your Name, <lb/>whom His Maje&longs;ty and all his Subjects, (who <lb/>have a higher Sen&longs;e and Judgement of Excel<lb/>lent Parts) know be&longs;t able to defend my Im<lb/>perfections. </s>

<s>And yet I confe&longs;s there's one <lb/>thing makes again&longs;t me, which is your eminent <lb/>Integrity and great Affection to Truth, where<lb/>by my Lap&longs;esin a Work of this Nature might <lb/>ju&longs;tly de&longs;pair of Shelter, but that the Excel<lb/>lency of Your Native Candor &longs;trives for Pre<lb/>dominancy over all Your great Abilities. </s>

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<s>Mo&longs;t Humble <lb/>and <lb/>Mo&longs;t obedient Servant</s></p><p type="main">

<s>THOMAS SALUSBURY.</s></p><pb/></section><section><p type="main">

<s>THOMAS SALUSBURY.</s></p><pb xlink:href="040/01/007.jpg"/></section><section><p type="main">

<s>READER,</s></p><p type="main">

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<s>This only let me premi&longs;e, though more to excu&longs;e my weakne&longs;s in <lb/>the menaging, than to in&longs;inuate my ability in accompli&longs;hing this &longs;o arduous a Task, that the&longs;e profound Dialogues <lb/>have bin found &longs;o unea&longs;y to Tran&longs;late, that neither affectation of Novelty could induce the French, nor the <lb/>Tran&longs;lating humour per&longs;wade the Germans to undertake them. </s>

<s>This difficulty, as I conceived, was charged either <lb/>upon the Intricacy of this manner of Writing, or upon the &longs;ingular Elegance in the &longs;tile of<emph.end type="italics"/> Galilco, <emph type="italics"/>or el&longs;e upon the<emph.end type="italics"/><pb/><emph type="italics"/>mi&longs;carriage of the unfortunate<emph.end type="italics"/> Mathias Berneggeius <emph type="italics"/>who fir&longs;t attempted to turn them into Latine for the benefit <lb/>of the Learned World.<emph.end type="italics"/></s></p><p type="main">

<s>This difficulty, as I conceived, was charged either <lb/>upon the Intricacy of this manner of Writing, or upon the &longs;ingular Elegance in the &longs;tile of<emph.end type="italics"/> Galilco, <emph type="italics"/>or el&longs;e upon the<emph.end type="italics"/><pb xlink:href="040/01/008.jpg"/><emph type="italics"/>mi&longs;carriage of the unfortunate<emph.end type="italics"/> Mathias Berneggeius <emph type="italics"/>who fir&longs;t attempted to turn them into Latine for the benefit <lb/>of the Learned World.<emph.end type="italics"/></s></p><p type="main">

<s><emph type="italics"/>I &longs;hall not pre&longs;ume to Cen&longs;ure the Cen&longs;ure which the Church of Rome pa&longs;t upon this Doctrine and its A&longs;&longs;ectors. <lb/></s>

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<s>The CONTENTS of the FIRST <lb/>TOME.</s></p><p type="head">

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<s>XII. D. CORSINUS, SUPERINTENDENT of the GENERAL DRAINS and PRESIDENT <lb/>of ROMAGNA, his RELATION of the &longs;tate of the WATERS in the <lb/>TERRITORIES of BOLOGNA and FERRARA.</s></p><p type="main">

<s><emph type="italics"/>A<emph.end type="italics"/> Table <emph type="italics"/>of the mo&longs;t ob&longs;ervable<emph.end type="italics"/> Per&longs;ons <emph type="italics"/>and<emph.end type="italics"/> Matters <emph type="italics"/>mentioned in the<emph.end type="italics"/> Second Part.</s></p><pb/><p type="head">

<s>The CONTENTS of the SECOND <lb/>TOME,</s></p><p type="head">

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<s>4. A Conclu&longs;ion in certain Reflections upon his whole Life.</s></p><p type="main">

<s><emph type="italics"/>A<emph.end type="italics"/> Table <emph type="italics"/>of the whole<emph.end type="italics"/> Second TOME.</s></p> </section> </front> <pb/> <body> <chap> <p type="head">

<s><emph type="italics"/>A<emph.end type="italics"/> Table <emph type="italics"/>of the whole<emph.end type="italics"/> Second TOME.</s></p> </section> </front> <pb xlink:href="040/01/011.jpg"/> <body> <chap> <p type="head">

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<lb/>Chief <emph type="italics"/>Mathematician<emph.end type="italics"/> to the GRAND DUKE of <emph type="italics"/>TVSCANY.<emph.end type="italics"/></s></p><p type="head"><s><emph type="italics"/>Ingli&longs;hed from the<emph.end type="italics"/> Original <emph type="italics"/>Italián<emph.end type="italics"/> Copy, <emph type="italics"/>by<emph.end type="italics"/> THOMAS SALUSBURY.</s></p><p type="head"><s>ALCINOUS,

<lb/><foreign lang="greek">*dei_ d) e)leuge/rion ei)_nai th_| gnwmh_| r\n me/llonta filosofei_n.</foreign></s></p><p type="head"><s>SENECA,

<lb/><emph type="italics"/>Inter nullos magis quam inter PHILOSOPHOS e&longs;&longs;e debet aqua LIBERTAS.<emph.end type="italics"/></s></p><p type="head"><s><emph type="italics"/>LONDON,<emph.end type="italics"/>

<lb/>Printed by WILLIAM LEYBOURNE. MDCLXI.</s></p><pb/><pb/></chap><chap><p type="head"><s>To the mo&longs;t Serene Grand DUKE

<lb/>Printed by WILLIAM LEYBOURNE. MDCLXI.</s></p><pb xlink:href="040/01/012.jpg"/><pb xlink:href="040/01/013.jpg"/></chap><chap><p type="head"><s>To the mo&longs;t Serene Grand DUKE

<lb/>OF

<lb/>TUSCANY.</s></p><p type="main"><s>Though the difference between Men and other

<lb/>living Creatures be very great, yet happly he that

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<lb/>for if that in regard of univer&longs;al extent it excell all others, it

<lb/>ought as the Rule and Standard of the re&longs;t to goe before

<lb/>them in Nobility. </s><s>Now if ever any per&longs;ons might challenge

<lb/>to be &longs;ignally di&longs;tingui&longs;hed for Intellectuals from other men; <pb/><emph type="italics"/>Ptolomey<emph.end type="italics"/> and <emph type="italics"/>Copernicus<emph.end type="italics"/> were they that have had the honour to

<lb/>to be &longs;ignally di&longs;tingui&longs;hed for Intellectuals from other men; <pb xlink:href="040/01/014.jpg"/><emph type="italics"/>Ptolomey<emph.end type="italics"/> and <emph type="italics"/>Copernicus<emph.end type="italics"/> were they that have had the honour to

<lb/>&longs;ee farthe&longs;t into, and di&longs;cour&longs;e mo&longs;t profoundly of the <emph type="italics"/>Worlds

<lb/>Sy&longs;teme.<emph.end type="italics"/> About the Works of which famous Men the&longs;e Dia

<lb/>lous being chiefly conver&longs;ant, I conceived it my duty to De

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<lb/>&longs;hew the man that is concerned in any of tho&longs;e general Cala

<lb/>mities that di&longs;turb the World; &longs;o that Praying for Your Pro&longs;pe

<lb/>rity, and continuance in this Your Pious and Laudable Cu

<lb/>&longs;tome, I humbly ki&longs;s Your Hands;</s></p><p type="main"><s><emph type="italics"/>Your Mo&longs;t Serene Highne&longs;&longs;es<emph.end type="italics"/></s></p><p type="main"><s>Mo&longs;t Humble and mo&longs;t devoted</s></p><p type="main"><s>Servant and Subject</s></p><p type="main"><s>GALILEO GALILEI.</s></p></chap><chap><pb/><p type="head"><s>THE AUTHOR'S

<lb/>INTRODUCTION.</s></p><p type="main"><s>Judicious Reader,</s></p><p type="main"><emph type="italics"/><s>There was publi&longs;hed &longs;ome years &longs;ince in<emph.end type="italics"/> Rome <emph type="italics"/>a &longs;alutiferous Edict, that, for

<lb/>the obviating of the dangerous Scandals of the pre&longs;ent Age, impo&longs;ed a &longs;ea

<lb/>&longs;onable Silence upon the Pythagorean Opinion of the Mobility of the Earth.

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<lb/>Stability, and to take the contrary only for a Mathematical<emph.end type="italics"/> Capriccio, <emph type="italics"/>proceeds not from inadvertency

<lb/>of what others have thought thereof, but (had we no other inducements) from tho&longs;e Rea&longs;ons that Pic

<lb/>ty, Religion, the Knowledge of the Divine Omnipotency, and a con&longs;ciou&longs;ne&longs;s of the incapacity of mans

<lb/>Vnder&longs;tanding dictate unto us.<emph.end type="italics"/></s></p><pb/><p type="main"><s><emph type="italics"/>With all I conceived it very proper to expre&longs;s the&longs;e conceits by way of Dialogue, which, as not being

<lb/>Vnder&longs;tanding dictate unto us.<emph.end type="italics"/></s></p><pb xlink:href="040/01/016.jpg"/><p type="main"><s><emph type="italics"/>With all I conceived it very proper to expre&longs;s the&longs;e conceits by way of Dialogue, which, as not being

<lb/>bound up to the riggid ob&longs;ervance of Mathematical Laws, gives place al&longs;o to Digre&longs;sions that are

<lb/>&longs;ometimes no le&longs;s curious than the principal Argument.<emph.end type="italics"/></s></p><p type="main"><s><emph type="italics"/>I chanced to be &longs;everal years &longs;ince, at &longs;everal times, in the Stupendious Citty of<emph.end type="italics"/> Venice, <emph type="italics"/>where I

<lb/>conver&longs;ed with<emph.end type="italics"/> Signore Giovan France&longs;co Sagredo <emph type="italics"/>of a Noble Extraction, and piercing wit. </s><s>There

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<lb/>due, but very &longs;hort complements<emph.end type="italics"/>; Signore Salviati <emph type="italics"/>began in this manner.<emph.end type="italics"/></s></p></chap> <chap>

<pb pagenum="1"/><p type="head"><s>GALILÆUS

<pb xlink:href="040/01/017.jpg" pagenum="1"/><p type="head"><s>GALILÆUS

<lb/>Galilæus Lyncæus,

<lb/>HIS

<lb/>SYSTEME

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<lb/>guments is, when they demon&longs;trate, that this <emph type="italics"/>Hypothe&longs;is<emph.end type="italics"/> is impo&longs;

<pb pagenum="2"/>&longs;ible: Since that it is nece&longs;&longs;ary to introduce in Nature, &longs;ub&longs;tances

<pb xlink:href="040/01/018.jpg" pagenum="2"/>&longs;ible: Since that it is nece&longs;&longs;ary to introduce in Nature, &longs;ub&longs;tances

<lb/>different betwixt them&longs;elves, that is, the C&oelig;le&longs;tial, and Elementa

<lb/>ry; that impa&longs;&longs;ible and immortal, this alterable and corruptible.

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<lb/>ate one way, another two, a third, namely the Body, every way.

<pb pagenum="3"/>Moreover in the fourth Text; doth he not after &longs;ome other Do

<pb xlink:href="040/01/019.jpg" pagenum="3"/>Moreover in the fourth Text; doth he not after &longs;ome other Do

<lb/>ctrines, prove it by another demon&longs;tration? <emph type="italics"/>Scilicet,<emph.end type="italics"/> That no tran

<lb/>&longs;ition is made but according to &longs;ome defect (and &longs;o there is a tran

<lb/>&longs;ition or pa&longs;&longs;ing from the line to the &longs;uperficies, becau&longs;e the line is

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<lb/>my&longs;teries of numbers were tho&longs;e trifles, which afterwards did &longs;o

<pb pagenum="4"/>&longs;pread among&longs;t the vulgar; and this with a di&longs;cretion and &longs;ubtlety

<pb xlink:href="040/01/020.jpg" pagenum="4"/>&longs;pread among&longs;t the vulgar; and this with a di&longs;cretion and &longs;ubtlety

<lb/>re&longs;embling that of the prudent young man, that to be freed

<lb/>from the importunity of his inqui&longs;itive Mother or Wife, I know

<lb/>not whether, who pre&longs;&longs;ed him to impart the &longs;ecrets of the Senate,

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<lb/>infinite that are greater, and unequal to one another, which may be

<pb pagenum="5"/>produced from the term A to any other part of the oppo&longs;ite line

<pb xlink:href="040/01/021.jpg" pagenum="5"/>produced from the term A to any other part of the oppo&longs;ite line

<lb/>C D.</s></p><p type="main"><s>SALV. </s><s>Your choice, and the rea&longs;on you bring for it in my judg

<lb/>ment is mo&longs;t excellent; &longs;o that by this time we have proved that

<lb/>the fir&longs;t dimen&longs;ion is determined by a right line, the &longs;econd name

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<lb/>is divi&longs;ible on all &longs;ides, and that which is &longs;o, is perfect, <emph type="italics"/>&c.<emph.end type="italics"/></s></p>

<pb pagenum="6"/><p type="main"><s>SIMPL. </s><s>And who &longs;aith that I cannot draw other lines? </s><s>why

<pb xlink:href="040/01/022.jpg" pagenum="6"/><p type="main"><s>SIMPL. </s><s>And who &longs;aith that I cannot draw other lines? </s><s>why

<lb/>may not I protract another line underneath, unto the point A,

<lb/>that may be perpendicular to the re&longs;t?</s></p><p type="main"><s>SALV. </s><s>You can doubtle&longs;s, at one and the &longs;ame point, make no

<lb/>more than three right lines concurre, that con&longs;titute right angles

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<lb/>&longs;aid before of a body, that it al&longs;o is perfected by three things, and &longs;o

<pb pagenum="7"/>is its motion. </s><s>Having confirmed the&longs;e motions, he proceeds &longs;aying,

<pb xlink:href="040/01/023.jpg" pagenum="7"/>is its motion. </s><s>Having confirmed the&longs;e motions, he proceeds &longs;aying,

<lb/>that of natural bodies &longs;ome being &longs;imple, and &longs;ome compo&longs;ed of

<lb/>them (and he calleth &longs;imple bodies tho&longs;e, that have a principle

<lb/>of motion from nature, as the Fire and Earth) it follows that

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<lb/>vided it be &longs;traight, it &longs;hall agree to any &longs;imple natural body; or

<pb pagenum="8"/>if not &longs;o, then the &longs;uppo&longs;ion of <emph type="italics"/>Ari&longs;totle<emph.end type="italics"/> is defective. </s><s>It appears

<pb xlink:href="040/01/024.jpg" pagenum="8"/>if not &longs;o, then the &longs;uppo&longs;ion of <emph type="italics"/>Ari&longs;totle<emph.end type="italics"/> is defective. </s><s>It appears

<lb/>moreover that <emph type="italics"/>Ari&longs;totle<emph.end type="italics"/> hinteth but one circular motion alone to

<lb/>be in the World, and con&longs;equently but one onely Center, to

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<lb/>mixt bodies &longs;ome, (and that not a few) that will move &longs;wiftly,

<pb pagenum="9"/>and others more &longs;lowly than the &longs;imple; as for example, Lead, and

<pb xlink:href="040/01/025.jpg" pagenum="9"/>and others more &longs;lowly than the &longs;imple; as for example, Lead, and

<lb/>Wood, in compari&longs;on of earth; and therefore among&longs;t the&longs;e mo

<lb/>tions, which call you the &longs;imple, and which the mixt?</s></p><p type="main"><s>SIMPL. </s><s>I would call that &longs;imple motion, which is made by a

<lb/>&longs;imple body, and mixt, that of a compound body.</s></p><p type="main"><s>SAGR. </s><s>Very well, and yet <emph type="italics"/>Simplicius<emph.end type="italics"/> a little before you &longs;aid,

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<lb/>the foundation, we may rationally que&longs;tion what &longs;oever may far

<pb pagenum="10"/>ther built thereon. </s><s>I deny not, that this which <emph type="italics"/>Ari&longs;totle<emph.end type="italics"/> hitherto

<pb xlink:href="040/01/026.jpg" pagenum="10"/>ther built thereon. </s><s>I deny not, that this which <emph type="italics"/>Ari&longs;totle<emph.end type="italics"/> hitherto

<lb/>hath introduced, with a general di&longs;cour&longs;e dependent upon univer

<lb/>&longs;al primary principles, hathbeen &longs;ince in proce&longs;s of time, re-inforced

<lb/>with particular rea&longs;ons, and experiments; all which it would be

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<lb/>&longs;aith well, never attempts to do that which can never be done,

<pb pagenum="11"/>nor e&longs;&longs;aies to move whither it is impo&longs;&longs;ible to arrive. </s><s>And if any

<pb xlink:href="040/01/027.jpg" pagenum="11"/>nor e&longs;&longs;aies to move whither it is impo&longs;&longs;ible to arrive. </s><s>And if any

<lb/>one &longs;hould yet object, that albeit the right line, and con&longs;equent

<lb/>ly the motion by it is producible <emph type="italics"/>in infinitum,<emph.end type="italics"/> that is to &longs;ay, is in

<lb/>terminate; yet neverthele&longs;s Nature, as one may &longs;ay, arbitrarily

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<lb/>began to move, is that of extreme tardity, namely of re&longs;t.

<lb/>Now this acceleration of motion is never made, but when the

<lb/>moveable in moving acquireth it; nor is its acqui&longs;t other than an

<lb/>approaching to the place de&longs;ired, to wit, whither its natural in

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<lb/>fore we go any farther, I will &longs;eek to remove this difficulty, which

<pb pagenum="13"/>&longs;hall be an ea&longs;ie task; for I reply, that the moveable pa&longs;&longs;eth by

<pb xlink:href="040/01/029.jpg" pagenum="13"/>&longs;hall be an ea&longs;ie task; for I reply, that the moveable pa&longs;&longs;eth by

<lb/>the afore&longs;aid degrees, but the pa&longs;&longs;age is made without &longs;taying in </s></p><p type="main"><s><arrow.to.target n="marg42"></arrow.to.target>

<lb/>any of them; &longs;o that the pa&longs;&longs;age requiring but one &longs;ole in&longs;tant

<lb/>of time, and every &longs;mall time containing infinite in&longs;tants, we &longs;hall

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<lb/>that the approaches to the centre be equal?</s></p>

<pb pagenum="14"/><p type="main"><s>SAGR. </s><s>I do not very well under&longs;tand the que&longs;tion.</s></p><p type="main"><s>SALV. </s><s>I will expre&longs;s it better by drawing a Figure: therefore

<pb xlink:href="040/01/030.jpg" pagenum="14"/><p type="main"><s>SAGR. </s><s>I do not very well under&longs;tand the que&longs;tion.</s></p><p type="main"><s>SALV. </s><s>I will expre&longs;s it better by drawing a Figure: therefore

<lb/>I will &longs;uppo&longs;e the line A B [in <emph type="italics"/>Fig.<emph.end type="italics"/> 3.] parallel to the Horizon,

<lb/>and upon the point B, I will erect a perpendicular B C; and after

<lb/>that I adde this &longs;launt line C A. </s><s>Under&longs;tanding now the line C

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<lb/>your conceit of them?</s></p><p type="main"><s>SIMPL. </s><s>I fancie that they pa&longs;s equal &longs;paces in equal times.</s></p>

<pb pagenum="15"/><p type="main"><s>SALV. </s><s>And have you no other conceit thereof than this?</s></p><p type="main"><s>SIMPL. </s><s>This I think to be the proper definition of equal mo

<pb xlink:href="040/01/031.jpg" pagenum="15"/><p type="main"><s>SALV. </s><s>And have you no other conceit thereof than this?</s></p><p type="main"><s>SIMPL. </s><s>This I think to be the proper definition of equal mo

<lb/>tions.</s></p><p type="main"><s><arrow.to.target n="marg47"></arrow.to.target></s></p><p type="margin"><s><margin.target id="marg47"></margin.target><emph type="italics"/>Velocities are &longs;aid

<lb/>to be equal, when

<lb/>the &longs;paces pa&longs;&longs;ed

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<lb/>taken in the perpendicular; and this &longs;hall be, if the &longs;pace in the

<pb pagenum="16"/>perpendicular &longs;hould be taken near to the end C, and in the in

<pb xlink:href="040/01/032.jpg" pagenum="16"/>perpendicular &longs;hould be taken near to the end C, and in the in

<lb/>clination, far from it.</s></p><p type="main"><s>SALV. </s><s>You &longs;ee then, that the Propo&longs;ition which &longs;aith, that

<lb/>the motion by the perpendicular is more &longs;wift than by the incli

<lb/>nation, holds not true univer&longs;ally, but onely of the motions,

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<lb/>nation C A, and by the perpendicular C B, are equal.</s></p><p type="main"><s>SALV. </s><s>Content your &longs;elf for this time, that I have removed

<pb pagenum="17"/>your incredulity; but for the knowledge of this, expect it at

<pb xlink:href="040/01/033.jpg" pagenum="17"/>your incredulity; but for the knowledge of this, expect it at

<lb/>&longs;ome other time, namely, when you &longs;hall &longs;ee the matters concer

<lb/>ning local motion demon&longs;trated by our <emph type="italics"/>Academick<emph.end type="italics"/>; at which

<lb/>time you &longs;hall find it proved, that in the time that the one movea

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<lb/>degree uniformly, that is to &longs;ay, without accelerating or retarding;

<pb pagenum="18"/>in as much more time as it was in coming by the inclining plane, it

<pb xlink:href="040/01/034.jpg" pagenum="18"/>in as much more time as it was in coming by the inclining plane, it

<lb/>would pa&longs;s double the &longs;pace of the plane inclined: namely (for

<lb/>example) if the ball had pa&longs;t the plane D A in an hour, con

<lb/>tinuing to move uniformly with that degree of velocity which it

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<lb/>it upon &longs;ome other occa&longs;ion; e&longs;pecially &longs;ince we now a&longs;&longs;umed the

<pb pagenum="19"/>&longs;ame, not to &longs;erve for a nece&longs;&longs;ary demon&longs;tration, but to adorn a

<pb xlink:href="040/01/035.jpg" pagenum="19"/>&longs;ame, not to &longs;erve for a nece&longs;&longs;ary demon&longs;tration, but to adorn a

<lb/><emph type="italics"/>Platonick<emph.end type="italics"/> Conceit; to which I will add another particular ob&longs;er

<lb/>vation of our <emph type="italics"/>Academick,<emph.end type="italics"/> which hath in it &longs;omething of admira

<lb/>ble. </s><s>Let us &longs;uppo&longs;e among&longs;t the decrees of the divine <emph type="italics"/>Architect,<emph.end type="italics"/>

Line 1415

<lb/>remember, was about the proving the motion by a right line of no

<pb pagenum="20"/>u&longs;e, in the ordinate parts of the World; and we did proceed to

<pb xlink:href="040/01/036.jpg" pagenum="20"/>u&longs;e, in the ordinate parts of the World; and we did proceed to

<lb/>&longs;ay, that it was not &longs;o in circular motions, of which that which is

<lb/>made by the moveable in it &longs;elf, &longs;till retains it in the &longs;ame place,

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<lb/>the World, and there remained immoveable, &longs;hould not &longs;ay, that

<pb pagenum="21"/>of natural bodies &longs;ome are moveable by nature, and others immo

<pb xlink:href="040/01/037.jpg" pagenum="21"/>of natural bodies &longs;ome are moveable by nature, and others immo

<lb/>veable; e&longs;pecially having before defined Nature, to be the prin

<lb/>ciple of Motion and Re&longs;t.</s></p><p type="margin"><s><margin.target id="marg50"></margin.target><emph type="italics"/>Finite and termi

<lb/>nate circular mo

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<lb/>Earth <emph type="italics"/>de facto<emph.end type="italics"/> is in the centre of the Univer&longs;e; but if any Centre

<lb/>may be a&longs;ligned to the Univer&longs;e, we &longs;hall rather find the Sun

<lb/>placed in it, as by the &longs;equel you &longs;hall under&longs;tand.</s></p><p type="margin"><s><margin.target id="marg59"></margin.target><emph type="italics"/>It is que&longs;tionable

<lb/>whether de&longs;cending

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<lb/>bodies are impa&longs;&longs;ible, impenetrable, and infrangible; &longs;o that &longs;uch

<pb pagenum="23"/>a ca&longs;e can never happen: and though it &longs;hould, and that the &longs;e

<pb xlink:href="040/01/039.jpg" pagenum="23"/>a ca&longs;e can never happen: and though it &longs;hould, and that the &longs;e

<lb/>parated part &longs;hould return to its whole, it would not return as

<lb/>grave or light, for that the &longs;ame <emph type="italics"/>Ari&longs;totle<emph.end type="italics"/> proveth, that the C&oelig;

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<lb/>this circumference is that of the World, or concentrick to it, &longs;o

<pb pagenum="24"/>that to move towards this, is a moving towards that of the World,

<pb xlink:href="040/01/040.jpg" pagenum="24"/>that to move towards this, is a moving towards that of the World,

<lb/>that he cannot affirm, unle&longs;s he &longs;uppo&longs;eth, That the Centre of the

<lb/>Earth, from which we &longs;ee the&longs;e light a&longs;cendent bodies to depart,

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<lb/>motions are all perpendicular to the Superficies of the Earth; we

<pb pagenum="25"/>mean, that as they move to the centre of the Earth, they move to

<pb xlink:href="040/01/041.jpg" pagenum="25"/>mean, that as they move to the centre of the Earth, they move to

<lb/>their <emph type="italics"/>Whole,<emph.end type="italics"/> and to their Univer&longs;al Mother: and we are &longs;till far

<lb/>ther &longs;o free, that we will &longs;uffer our &longs;elves to be per&longs;waded, that

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<lb/>the Elementary parts of the World, in making tho&longs;e ingenerable,

<pb pagenum="26"/>incorruptible, unalterable, <emph type="italics"/>&c.<emph.end type="italics"/> and this corruptible, alterable, <emph type="italics"/>&c.<emph.end type="italics"/></s></p><p type="margin"><s><margin.target id="marg74"></margin.target><emph type="italics"/>The di&longs;putes and

<pb xlink:href="040/01/042.jpg" pagenum="26"/>incorruptible, unalterable, <emph type="italics"/>&c.<emph.end type="italics"/> and this corruptible, alterable, <emph type="italics"/>&c.<emph.end type="italics"/></s></p><p type="margin"><s><margin.target id="marg74"></margin.target><emph type="italics"/>The di&longs;putes and

<lb/>contradictions of

<lb/>Philo&longs;ophers may

<lb/>conduce to the

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<lb/>it will be convenient to reduce them to the mo&longs;t ab&longs;tracted and

<pb pagenum="27"/>di&longs;tinct that can be po&longs;&longs;ible; and excu&longs;e me <emph type="italics"/>Sagredus,<emph.end type="italics"/> if haply

<pb xlink:href="040/01/043.jpg" pagenum="27"/>di&longs;tinct that can be po&longs;&longs;ible; and excu&longs;e me <emph type="italics"/>Sagredus,<emph.end type="italics"/> if haply

<lb/>with &longs;ome tediou&longs;ne&longs;s you hear me oft repeat the &longs;ame things,

<lb/>and fancie that you &longs;ee me rea&longs;&longs;ume my argument in the pub

<lb/>lick circle of Di&longs;putations. </s><s>You &longs;ay Generation and Corrupti

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<lb/>that nothing remaineth of its fir&longs;t being, and that another body

<lb/>quite differing there-from &longs;hould be thence produced; and if I

<lb/>fancy to my &longs;elf a body under one a&longs;pect, and by and by under

<lb/>another very different, I cannot think it impo&longs;&longs;ible but that it may

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<lb/>that the C&oelig;le&longs;tial bodies them&longs;elves are al&longs;o generable and cor

<pb pagenum="29"/>ruptible, a&longs;well as the Elementary, what will you &longs;ay then?</s></p><p type="main"><s>SIMPL. </s><s>I will &longs;ay you have done that which is impo&longs;&longs;ible to

<pb xlink:href="040/01/045.jpg" pagenum="29"/>ruptible, a&longs;well as the Elementary, what will you &longs;ay then?</s></p><p type="main"><s>SIMPL. </s><s>I will &longs;ay you have done that which is impo&longs;&longs;ible to

<lb/>be done.</s></p><p type="main"><s>SAGR. </s><s>Go to; tell me, <emph type="italics"/>Simplicius,<emph.end type="italics"/> are not the&longs;e affections

<lb/>contrary to one another?</s></p><p type="main"><s>SIMPL. Which?</s></p><p type="main"><s>SAGR. </s><s>Why the&longs;e; Alterable, unalterable; pa&longs;&longs;ible, ^{*} impa&longs;

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<lb/>other? </s><s>I &longs;ay, for example, the humidity by which a piece of Earth

<pb pagenum="30"/>is corrupted, re&longs;ides it in the &longs;ame Earth or in &longs;ome other bodie,

<pb xlink:href="040/01/046.jpg" pagenum="30"/>is corrupted, re&longs;ides it in the &longs;ame Earth or in &longs;ome other bodie,

<lb/>which mu&longs;t either be the Air or Water? </s><s>I believe you will grant,

<lb/>that like as the Motions upwards and downwards, and gravity

<lb/>and levity, which you make the fir&longs;t contraries, cannot be in the

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<lb/>that den&longs;ity and rarity in C&oelig;le&longs;tial bodies, are not contraries to

<pb pagenum="31"/>each other, as in Elementary bodies; for that they depend not

<pb xlink:href="040/01/047.jpg" pagenum="31"/>each other, as in Elementary bodies; for that they depend not

<lb/>on the primary qualities, cold and heat, which are contraries; but

<lb/>on the more or le&longs;s matter in proportion to quantity: now much

<lb/>and little, &longs;peak onely a relative oppo&longs;ition, that is, the lea&longs;t of

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<lb/>deavouring in the next place to an&longs;wer them: and producing in

<pb pagenum="32"/>the la&longs;t place, tho&longs;e, by which others may be per&longs;waded, that the

<pb xlink:href="040/01/048.jpg" pagenum="32"/>the la&longs;t place, tho&longs;e, by which others may be per&longs;waded, that the

<lb/>Earth is no le&longs;s than the Moon, or any other Planet to be num

<lb/>bered among&longs;t natural bodies that move circularly.</s></p><p type="main"><s>SAGR. </s><s>I &longs;hall the more willingly incline to this, in that I am

<lb/>better &longs;atisfied with your Architectonical and general di&longs;cour&longs;e,

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<lb/>to attribute the &longs;traight motion to be an intrin&longs;ick and natural

<pb pagenum="33"/>principle of the Elements. </s><s>Which is manife&longs;t, for that if I aske

<pb xlink:href="040/01/049.jpg" pagenum="33"/>principle of the Elements. </s><s>Which is manife&longs;t, for that if I aske

<lb/>the <emph type="italics"/>Peripatetick,<emph.end type="italics"/> if, being of opinion that C&oelig;le&longs;tial bodies are

<lb/>incorruptibe and eternal, he believeth that the Terre&longs;tial Globe

<lb/>is not &longs;o, but corruptible and mortal, &longs;o that there &longs;hall come a

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<lb/>di&longs;po&longs;ed in a perfect con&longs;titution, excludes by nece&longs;&longs;ary confe

<pb pagenum="34"/>quence the right or &longs;traight motion of &longs;imple natural bodies, as

<pb xlink:href="040/01/050.jpg" pagenum="34"/>quence the right or &longs;traight motion of &longs;imple natural bodies, as

<lb/>being of no u&longs;e in nature, and e&longs;teems the Earth it &longs;elf al&longs;o to

<lb/>be one of the C&oelig;le&longs;tial bodies adorn'd with all the prerogatives

<lb/>that agree with them; which la&longs;t di&longs;cour&longs;e is hitherto much

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<lb/>vens not &longs;o.</s></p><p type="main"><s>SIMPL. </s><s>I &longs;ee in the Earth, plants and animals continually ge

<pb pagenum="35"/>nerating and decaying; winds, rains, tempe&longs;ts, &longs;torms ari&longs;ing; and

<pb xlink:href="040/01/051.jpg" pagenum="35"/>nerating and decaying; winds, rains, tempe&longs;ts, &longs;torms ari&longs;ing; and

<lb/>in a word, the a&longs;pect of the Earth to be perpetually metamorpho

<lb/>&longs;ing; none of which mutations are to be di&longs;cern'd in the C&oelig;le&longs;tial

<lb/>bodies; the con&longs;titution and figuration of which is mo&longs;t punctu

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<lb/>gether by certain other le&longs;&longs;e Mountains which there gave check

<pb pagenum="36"/>to the Ocean: but tho&longs;e Hills, being by &longs;ome cau&longs;e or other &longs;e

<pb xlink:href="040/01/052.jpg" pagenum="36"/>to the Ocean: but tho&longs;e Hills, being by &longs;ome cau&longs;e or other &longs;e

<lb/>parated, and a way being opened to the Sea to break in, it made

<lb/>&longs;uch an inundation, that it gave occa&longs;ion to the calling of it &longs;ince

<lb/>the Mid-land Sea: the greatne&longs;s whereof con&longs;idered, and the di

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<lb/>them hath remain'd.</s></p>

<pb pagenum="37"/><p type="main"><s>SAGR. </s><s>I verily believed otherwi&longs;e, and conceited that <emph type="italics"/>Sim

<pb xlink:href="040/01/053.jpg" pagenum="37"/><p type="main"><s>SAGR. </s><s>I verily believed otherwi&longs;e, and conceited that <emph type="italics"/>Sim

<lb/>plicius<emph.end type="italics"/> di&longs;&longs;embled this expo&longs;ition of the Text, that he might not

<lb/>charge his Ma&longs;ter and Con&longs;ectators, with a notion more ab&longs;urd

<lb/>than the former. </s><s>And what a folly it is to &longs;ay the C&oelig;le&longs;tial

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<lb/>po&longs;ition before demon&longs;trated, or come to &longs;ome principle known

<pb pagenum="38"/><emph type="italics"/>per &longs;e<emph.end type="italics"/>; but if the conclu&longs;ion be fal&longs;e, a man may proceed <emph type="italics"/>in in

<pb xlink:href="040/01/054.jpg" pagenum="38"/><emph type="italics"/>per &longs;e<emph.end type="italics"/>; but if the conclu&longs;ion be fal&longs;e, a man may proceed <emph type="italics"/>in in

<lb/>finitum,<emph.end type="italics"/> and never meet with any truth already known; but ve

<lb/>ry oft he &longs;hall meet with &longs;ome impo&longs;&longs;ibility or manife&longs;t ab&longs;urdi

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<lb/>what &longs;aith he to the new Stars, <emph type="italics"/>Anno<emph.end type="italics"/> 1572, and 1604, and to

<pb pagenum="39"/>the Solar &longs;pots? </s><s>for as to the Comets, I for my own particular

<pb xlink:href="040/01/055.jpg" pagenum="39"/>the Solar &longs;pots? </s><s>for as to the Comets, I for my own particular

<lb/>little care to make them generated under or above the Moon;

<lb/>nor did I ever put much &longs;tre&longs;&longs;e on the loquacity of <emph type="italics"/>Tycho<emph.end type="italics"/>; nor

<lb/>am I hard to believe that their matter is Elementary, and that

Line 2564

<lb/>number ten or more &longs;uch &longs;mall bodies, which are of irregu

<pb pagenum="40"/>lar figures, and &longs;eem to us like flakes of &longs;now, or flocks of

<pb xlink:href="040/01/056.jpg" pagenum="40"/>lar figures, and &longs;eem to us like flakes of &longs;now, or flocks of

<lb/>wooll, or moaths flying: they vary &longs;ite among&longs;t them&longs;elves,

<lb/>and one while &longs;ever, another while meet, and mo&longs;t of all be

<lb/>neath the Sun, about which, as about their Centre, they con

Line 2628

<lb/>di&longs;tance from the circumference of the Sun; a nece&longs;&longs;ary Argu

<pb pagenum="41"/>ment that they generate and di&longs;&longs;olve; for if without generating

<pb xlink:href="040/01/057.jpg" pagenum="41"/>ment that they generate and di&longs;&longs;olve; for if without generating

<lb/>or corrrupting, they &longs;hould appear there by onely local motion,

<lb/>they would all be &longs;een to enter, and pa&longs;s out by the extreme cir

Line 2680

<lb/>may &longs;ometimes &longs;o happen that are of &longs;o long a duration, that

<pb pagenum="42"/>they cannot be di&longs;&longs;ipated by one &longs;ole conver&longs;ion about the Sun,

<pb xlink:href="040/01/058.jpg" pagenum="42"/>they cannot be di&longs;&longs;ipated by one &longs;ole conver&longs;ion about the Sun,

<lb/>which is accompli&longs;hed in le&longs;s than a moneth.</s></p><p type="margin"><s><margin.target id="marg114"></margin.target><emph type="italics"/>In natural Sci

<lb/>ences, the art of

<lb/>Oratory is of no

Line 2770

<lb/>to explain his &longs;en&longs;e; and &longs;eeth other Sciences, &longs;o nece&longs;&longs;ary and

<pb pagenum="43"/>profitable to the publick, to build a great part of their e&longs;teem

<pb xlink:href="040/01/059.jpg" pagenum="43"/>profitable to the publick, to build a great part of their e&longs;teem

<lb/>and reputation on the credit of <emph type="italics"/>Ari&longs;totle<emph.end type="italics"/> he is much puzzled and

<lb/>perplexed: and methinks I hear him &longs;ay, To whom then &longs;hould

Line 2820

<lb/>Stars.</s></p>

<pb pagenum="44"/><p type="main"><s>SALV. </s><s>Now I remember the re&longs;t, and to proceed, Methinks

<pb xlink:href="040/01/060.jpg" pagenum="44"/><p type="main"><s>SALV. </s><s>Now I remember the re&longs;t, and to proceed, Methinks

<lb/>there are &longs;ome things in the an&longs;wer of <emph type="italics"/>Anti-Tycho,<emph.end type="italics"/> worthy of

<lb/>reprehen&longs;ion. </s><s>And fir&longs;t, if the two New Stars, which he can do

<lb/>no le&longs;s than place in the uppermo&longs;t parts of the Heavens, and

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<lb/>mutable, inalterable, <emph type="italics"/>&c.<emph.end type="italics"/> And on the contrary, to hear it to </s></p><p type="main"><s><arrow.to.target n="marg129"></arrow.to.target>

<pb pagenum="45"/>be e&longs;teemed a great imperfection to be alterable, generable, mu

<pb xlink:href="040/01/061.jpg" pagenum="45"/>be e&longs;teemed a great imperfection to be alterable, generable, mu

<lb/>table, <emph type="italics"/>&c.<emph.end type="italics"/> It is my opinion that the Earth is very noble and ad

<lb/>mirable, by rea&longs;on of &longs;o many and &longs;o different alterations, mu

Line 2942

<lb/>which, &longs;uch conditions would be &longs;uperfluous; in regard that the

<pb pagenum="46"/>C&oelig;le&longs;tial bodies, namely, the Sun, Moon, and the other Stars,

<pb xlink:href="040/01/062.jpg" pagenum="46"/>C&oelig;le&longs;tial bodies, namely, the Sun, Moon, and the other Stars,

<lb/>which are ordained for no other u&longs;e but to &longs;erve the Earth, need

<lb/>no other qualities for attaining of that end, &longs;ave onely tho&longs;e of

<lb/>light and motion.</s></p><p type="margin"><s><margin.target id="marg136"></margin.target><emph type="italics"/>The C&oelig;le&longs;tial bo

Line 3002

<lb/>and u&longs;ele&longs;&longs;e, <emph type="italics"/>& natura nihil fru&longs;tra facit.<emph.end type="italics"/></s></p>

<pb pagenum="47"/><p type="main"><s>SAGR. </s><s>And why &longs;hould they be vain and u&longs;ele&longs;&longs;e?</s></p><p type="main"><s>SIMPL. </s><s>Becau&longs;e we cleerly &longs;ee, and feel with our hands, that

<pb xlink:href="040/01/063.jpg" pagenum="47"/><p type="main"><s>SAGR. </s><s>And why &longs;hould they be vain and u&longs;ele&longs;&longs;e?</s></p><p type="main"><s>SIMPL. </s><s>Becau&longs;e we cleerly &longs;ee, and feel with our hands, that

<lb/>all generations, corruptions, <emph type="italics"/>&c.<emph.end type="italics"/> made in the Earth, are all ei

<lb/>ther mediately or immediately directed to the u&longs;e, convenience,

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<lb/>ours, and therefore wholly inexcogitable, in regard, that what we

<pb pagenum="48"/>imagine to our &longs;elves, mu&longs;t nece&longs;&longs;arily be either a thing already

<pb xlink:href="040/01/064.jpg" pagenum="48"/>imagine to our &longs;elves, mu&longs;t nece&longs;&longs;arily be either a thing already

<lb/>&longs;een, or a compo&longs;ition of things, or parts of things &longs;een at ano

<lb/>ther time; for &longs;uch are the <emph type="italics"/>Sphinxes, Sirenes, Chim&oelig;ra's, Cen

<lb/>taurs,<emph.end type="italics"/> &c.</s></p><p type="margin"><s><margin.target id="marg141"></margin.target><emph type="italics"/>The Moon hath

Line 3116

<lb/>which opacity it is enabled to receive, and reflect the light of the

<pb pagenum="49"/>Sun; which were it not &longs;o, it could not do. </s><s>Thirdly, I hold its

<pb xlink:href="040/01/065.jpg" pagenum="49"/>Sun; which were it not &longs;o, it could not do. </s><s>Thirdly, I hold its

<lb/>matter to be mo&longs;t den&longs;e and &longs;olid as the Earth is, which I clearly

<lb/>argue from the unevenne&longs;s of its &longs;uperficies in mo&longs;t places, by means

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<lb/>Moon in a Month; but the variation of the figures in which the

<pb pagenum="50"/>illuminated parts of the Terre&longs;trial &longs;uperficies appear beheld from

<pb xlink:href="040/01/066.jpg" pagenum="50"/>illuminated parts of the Terre&longs;trial &longs;uperficies appear beheld from

<lb/>the Moon, depends not on this alone, but on the divers a&longs;pects

<lb/>which the Moon is &longs;till changing with the Sun; &longs;o that, if for in

<lb/>&longs;tance, the Moon punctually followed the motion of the Sun, and

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<lb/>mutual operations in my judgment &longs;eem to differ, and it is, that it

<pb pagenum="51"/>being &longs;uppo&longs;ed, and not granted, that &longs;ome one being placed in the

<pb xlink:href="040/01/067.jpg" pagenum="51"/>being &longs;uppo&longs;ed, and not granted, that &longs;ome one being placed in the

<lb/>Moon to ob&longs;erve the Earth, he would every day &longs;ee the whole

<lb/>Terre&longs;trial &longs;uperficies, by means of the Moons going about the

<lb/>Earth in twenty four or twenty five hours; but we never &longs;ee but

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<lb/>&longs;etting; therefore the difference of the &longs;aid &longs;uperiour and inferi

<pb pagenum="52"/>our parts mu&longs;t needs be very ob&longs;ervable; certain &longs;pots and other

<pb xlink:href="040/01/068.jpg" pagenum="52"/>our parts mu&longs;t needs be very ob&longs;ervable; certain &longs;pots and other

<lb/>notable things in tho&longs;e parts, being one while di&longs;cernable, and

<lb/>another while not. </s><s>A like variation may al&longs;o be ob&longs;erved towards

<lb/>the North and South extremities of the &longs;ame <emph type="italics"/>Di&longs;cus<emph.end type="italics"/> (or Surface)

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<lb/>fect light which is &longs;een in the Moon, e&longs;pecially when it is horned,

<pb pagenum="53"/>comes from the reflection of the light of the Sun on the Superfi

<pb xlink:href="040/01/069.jpg" pagenum="53"/>comes from the reflection of the light of the Sun on the Superfi

<lb/>cies of the Earth and Sea; and that light is more clear, by how

<lb/>much the horns are le&longs;&longs;e, for then the luminous part of the Earth,

<lb/>beheld by the Moon, is greater, according to that which was

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<lb/>eclip&longs;ed by the Moon; yet, neverthele&longs;&longs;e, having re&longs;pect to the

<pb pagenum="54"/>&longs;malne&longs;&longs;e of the body of this, in compari&longs;on to the magnitude

<pb xlink:href="040/01/070.jpg" pagenum="54"/>&longs;malne&longs;&longs;e of the body of this, in compari&longs;on to the magnitude

<lb/>of the other, it cannot be denied but that the <emph type="italics"/>will<emph.end type="italics"/> and as it

<lb/>were <emph type="italics"/>valour<emph.end type="italics"/> of this, is very great. </s><s>Thus much for their con

<lb/>gruities or re&longs;emblances. </s><s>It &longs;hould next follow that we di&longs;cour&longs;e

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<lb/>tran&longs;parent?</s></p>

<pb pagenum="55"/><p type="main"><s>SALV. </s><s>Rather how improper, for being by its tran&longs;parence,

<pb xlink:href="040/01/071.jpg" pagenum="55"/><p type="main"><s>SALV. </s><s>Rather how improper, for being by its tran&longs;parence,

<lb/>wholly invi&longs;ible, a man would not be able without &longs;tumbling at

<lb/>the thre&longs;holds, and breaking his head again&longs;t the Walls, to pa&longs;s

<lb/>from room to room.</s></p><p type="main"><s>SAGR. </s><s>This danger would not befall him, if it be true, as &longs;ome

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<lb/>&longs;ame to any one that &longs;hould from thence above behold it, repre

<pb pagenum="56"/>&longs;ented by figures an&longs;werable to tho&longs;e which we &longs;ee in the Moon:

<pb xlink:href="040/01/072.jpg" pagenum="56"/>&longs;ented by figures an&longs;werable to tho&longs;e which we &longs;ee in the Moon:

<lb/>I comprehend al&longs;o, how the period of its illumination and varia

<lb/>tion of figure, would be monthly, albeit the Sun revolves round

<lb/>about it in twenty four hours: and la&longs;tly, I do not &longs;cruple to

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<lb/>hearken to them attentively.</s></p><p type="main"><s>SALV. <emph type="italics"/>I<emph.end type="italics"/> will tell you what comes into my mind upon the

<pb pagenum="57"/>in&longs;tant, and its po&longs;&longs;ible it may be a commixtion of my own con

<pb xlink:href="040/01/073.jpg" pagenum="57"/>in&longs;tant, and its po&longs;&longs;ible it may be a commixtion of my own con

<lb/>ceipts; and tho&longs;e which I have &longs;ometime read in the fore-&longs;aid

<lb/>Books, by which I well remember, that I was then perfectly

<lb/>&longs;atisfied, although the conclu&longs;ions, at fir&longs;t &longs;ight &longs;eem'd unto me

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<lb/>Gla&longs;&longs;e makth.</s></p><p type="main"><s>SIMPL. </s><s>I do &longs;o.</s></p>

<pb pagenum="58"/><p type="main"><s>SAGR. </s><s>Why look you, there it is upon the oppo&longs;ite Wall, ju&longs;t

<pb xlink:href="040/01/074.jpg" pagenum="58"/><p type="main"><s>SAGR. </s><s>Why look you, there it is upon the oppo&longs;ite Wall, ju&longs;t

<lb/>as big as the Gla&longs;&longs;e, and little le&longs;&longs;e bright than if the Sun had

<lb/>directly &longs;hined upon it.</s></p><p type="main"><s>SIMPL. </s><s>Come hither therefore, and &longs;ee from hence the &longs;ur

<lb/>face of the Gla&longs;&longs;e, and tell me whether you think it more ob

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<lb/>and weak, in compari&longs;on of that of the Gla&longs;&longs;e, which is little

<pb pagenum="59"/>le&longs;&longs;e forcible and offen&longs;ive to the &longs;ight, than that primary and

<pb xlink:href="040/01/075.jpg" pagenum="59"/>le&longs;&longs;e forcible and offen&longs;ive to the &longs;ight, than that primary and

<lb/>direct light of the Sun. </s><s>And thus without trouble do we behold

<lb/>the face of the Moon; which were it as a Gla&longs;&longs;e, it appearing to

<lb/>us by rea&longs;on of its vicinity, as big as the Sun it &longs;elf, its &longs;plendor

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<lb/>eye; as is manife&longs;tly &longs;een in the example of that Gla&longs;&longs;e, upon

<pb pagenum="60"/>which, without que&longs;tion, the illuminating rayes of the Sun do

<pb xlink:href="040/01/076.jpg" pagenum="60"/>which, without que&longs;tion, the illuminating rayes of the Sun do

<lb/>come; yet neverthele&longs;&longs;e, it appears not to us bright and &longs;hining,

<lb/>unle&longs;&longs;e we &longs;et our eye in that particular place, where the refle

<lb/>ction arriveth. </s><s>Now let us con&longs;ider what would &longs;ucceed, were

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<lb/>of an an&longs;wer.</s></p>

<pb pagenum="61"/><p type="main"><s>SALV. </s><s>See here is the gla&longs;&longs;e, which I would have to be placed

<pb xlink:href="040/01/077.jpg" pagenum="61"/><p type="main"><s>SALV. </s><s>See here is the gla&longs;&longs;e, which I would have to be placed

<lb/>clo&longs;e to the other. </s><s>But fir&longs;t let us go yonder towards the reflection

<lb/>of that flat one, and attentively ob&longs;erve its clarity; &longs;ee how

<lb/>bright it is here where it &longs;hines, and how di&longs;tinctly one may di&longs;cern

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<lb/>prehend that being irradiated, it appeareth above a thou&longs;and

<pb pagenum="62"/>times bigger than the naked and real body: and a like or greater

<pb xlink:href="040/01/078.jpg" pagenum="62"/>times bigger than the naked and real body: and a like or greater

<lb/>augmentation doth the image of the Sun make, which you &longs;ee in

<lb/>that gla&longs;s. </s><s>I &longs;ay greater, for that it is more lively than the &longs;tar,

<lb/>as is manife&longs;t from our being able to behold the &longs;tar with much

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<lb/>from which the image of the Sun &longs;hould be reflected unto the eye

<pb pagenum="63"/>of a particular per&longs;on, by rea&longs;on of its great di&longs;tance would be in

<pb xlink:href="040/01/079.jpg" pagenum="63"/>of a particular per&longs;on, by rea&longs;on of its great di&longs;tance would be in

<lb/>vi&longs;ible, as I have &longs;aid before.</s></p><p type="margin"><s><margin.target id="marg169"></margin.target><emph type="italics"/>The reflex light

<lb/>of uneven bodies, is

<lb/>more univer&longs;al

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<lb/>plate; to wit, that from whence the reflection of the incident

<pb pagenum="64"/>&longs;olar rays come: but it is true that by the vivacity of the light, the

<pb xlink:href="040/01/080.jpg" pagenum="64"/>&longs;olar rays come: but it is true that by the vivacity of the light, the

<lb/>&longs;aid image will appear fringed about with many rays, and &longs;o will

<lb/>&longs;eem to occupie a far greater part of the plate, than really it doth.

<lb/></s><s>And to &longs;hew that this is true, when you have noted the particular

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<lb/>&longs;ome &longs;mall matter of it, namely, were as a &longs;ilver plate, onely boyled

<pb pagenum="65"/>white, but not burni&longs;hed; would this yet &longs;uffice to the making

<pb xlink:href="040/01/081.jpg" pagenum="65"/>white, but not burni&longs;hed; would this yet &longs;uffice to the making

<lb/>of it vi&longs;ible, and apt for darting forth the light of the Sun?</s></p><p type="main"><s>SALV. </s><s>It would &longs;uffice in part; but would not give a light &longs;o

<lb/>&longs;trong, as it doth being mountainous, and in &longs;um, full of

<lb/>eminencies and great cavities. </s><s>But the&longs;e Philo&longs;ophers will never

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<lb/>received by it be more weak. </s><s>Let us return now to the Moon,

<pb pagenum="66"/>which being of a &longs;pherical figure, if its &longs;uperficies were &longs;mooth, as

<pb xlink:href="040/01/082.jpg" pagenum="66"/>which being of a &longs;pherical figure, if its &longs;uperficies were &longs;mooth, as

<lb/>this paper, the parts of its hemi&longs;phere illuminated by the Sun,

<lb/>which are towards its extremity, would receive much le&longs;s light,

<lb/>than the middle parts; the rays falling upon them mo&longs;t obliquely,

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<lb/>&longs;ee any thing of umbrage, fora&longs;much as his vi&longs;ive rays would ever

<pb pagenum="67"/>go accompanied with tho&longs;e illuminating beams of the Sun.</s></p><p type="main"><s>SIMPL. </s><s>This is true, without any contradiction.</s></p><p type="main"><s>SALV. </s><s>But when the Moon is oppo&longs;ite to the Sun, what dif

<pb xlink:href="040/01/083.jpg" pagenum="67"/>go accompanied with tho&longs;e illuminating beams of the Sun.</s></p><p type="main"><s>SIMPL. </s><s>This is true, without any contradiction.</s></p><p type="main"><s>SALV. </s><s>But when the Moon is oppo&longs;ite to the Sun, what dif

<lb/>ference is there between the tract of the rayes of your &longs;ight, and

<lb/>that motion which the Suns rayes make?</s></p><p type="main"><s>SIMPL. </s><s>Now I under&longs;tand you; for you would &longs;ay, that the

<lb/>rayes of the &longs;ight and tho&longs;e of the Sun, moving by the &longs;ame lines,

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<lb/>and that neverthele&longs;&longs;e, it may appear when it is at the full, no le&longs;s

<pb pagenum="68"/>light in the extremities, than in the middle parts.</s></p><p type="main"><s>SALV. </s><s>The doubt is ingenious and worthy of con&longs;ideration;

<pb xlink:href="040/01/084.jpg" pagenum="68"/>light in the extremities, than in the middle parts.</s></p><p type="main"><s>SALV. </s><s>The doubt is ingenious and worthy of con&longs;ideration;

<lb/>and as it but ju&longs;t now came into your mind unawares, &longs;o I will

<lb/>like wi&longs;e an&longs;wer with what fir&longs;t comes into my thoughts, and it may

<lb/>happily fall out, that by thinking more upon it, I may &longs;tumble

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<lb/>in the C&oelig;le&longs;tial bodies.</s></p><p type="main"><s>SIMPL. </s><s>The C&oelig;le&longs;tial bodies being ingenerable, inalterable, im

<pb pagenum="69"/>pa&longs;&longs;ible, immortal, <emph type="italics"/>&c.<emph.end type="italics"/> they mu&longs;t needs be ab&longs;olutely perfect; and

<pb xlink:href="040/01/085.jpg" pagenum="69"/>pa&longs;&longs;ible, immortal, <emph type="italics"/>&c.<emph.end type="italics"/> they mu&longs;t needs be ab&longs;olutely perfect; and

<lb/>their being ab&longs;olute perfect, nece&longs;&longs;arily implies that there is in them

<lb/>all kinds of perfection; and con&longs;equently, that their figure be al&longs;o

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<lb/>angles, there are compri&longs;ed other le&longs;&longs;er bals of the &longs;ame matter;

<pb pagenum="70"/>and therefore they al&longs;o, as being round, mu&longs;t be al&longs;o incorrup

<pb xlink:href="040/01/086.jpg" pagenum="70"/>and therefore they al&longs;o, as being round, mu&longs;t be al&longs;o incorrup

<lb/>tible; and likewife in the remainders, which environ the&longs;e eight

<lb/>le&longs;&longs;er Spheres, a man may under&longs;tand that there are others: &longs;o

<lb/>that in the end, re&longs;olving the whole <emph type="italics"/>Die<emph.end type="italics"/> into innumerable balls,

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<lb/>nothing to do with the illu&longs;ions of the mother of Pearl, the&longs;e may

<pb pagenum="71"/>be produced al&longs;o; in the mean time, that I may not prevent any

<pb xlink:href="040/01/087.jpg" pagenum="71"/>be produced al&longs;o; in the mean time, that I may not prevent any

<lb/>one, I will &longs;uppre&longs;&longs;e the an&longs;wer which might be given, and onely

<lb/>for this time betake my &longs;elf to &longs;atisfie the objections brought by

<lb/><emph type="italics"/>Simplicius.<emph.end type="italics"/> I &longs;ay therefore, that this rea&longs;on of yours is too ge

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<lb/>truth, may well be adjudged void of all judgment; and upon

<pb pagenum="72"/>&longs;uch why &longs;hould we throw away our time and breath in vain?</s></p><p type="main"><s>SIMPI. </s><s>I mu&longs;t confe&longs;s I have not made the ob&longs;ervations, for

<pb xlink:href="040/01/088.jpg" pagenum="72"/>&longs;uch why &longs;hould we throw away our time and breath in vain?</s></p><p type="main"><s>SIMPI. </s><s>I mu&longs;t confe&longs;s I have not made the ob&longs;ervations, for

<lb/>that I never had &longs;o much curio&longs;ity, or the In&longs;truments proper for

<lb/>the bu&longs;ine&longs;s; but I will not fail to do it. </s><s>In the mean time, we

<lb/>may leave this que&longs;tion in &longs;u&longs;pen&longs;e, and pa&longs;s to that point which

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<lb/>in je&longs;t, or of &longs;ome per&longs;on known to be altogether void of &longs;en&longs;e.</s></p><p type="main"><s>SALV. No, no; I e&longs;teem you to be a very rational man, and

<pb pagenum="73"/>do ask the que&longs;tion &longs;eriou&longs;ly; and therefore an&longs;wer me: and if

<pb xlink:href="040/01/089.jpg" pagenum="73"/>do ask the que&longs;tion &longs;eriou&longs;ly; and therefore an&longs;wer me: and if

<lb/>afterwards you &longs;hall think that I &longs;peak impertinently, I will be

<lb/>content to be the &longs;en&longs;ele&longs;s man: for he is much more a fool who

<lb/>interrogates &longs;imply, than he to whom the que&longs;tion is put.</s></p><p type="main"><s>SIMPL. </s><s>If then you do not think me altogether &longs;imple, take

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<lb/>&longs;hews more lucid? </s><s>Do not you &longs;ee, that if there is any advantage,

<pb pagenum="74"/>the wall hath it? </s><s>The Sun &longs;hineth on that wall; from thence it </s></p><p type="main"><s><arrow.to.target n="marg191"></arrow.to.target>

<pb xlink:href="040/01/090.jpg" pagenum="74"/>the wall hath it? </s><s>The Sun &longs;hineth on that wall; from thence it </s></p><p type="main"><s><arrow.to.target n="marg191"></arrow.to.target>

<lb/>is reverberated upon the wall of the Hall, from thence it's refle

<lb/>cted upon that chamber, &longs;o that it falls on it at the third reflection:

<lb/>and I am very certain, that there is in that place more light, than

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<lb/>&longs;equently, in the light of the <emph type="italics"/>crepu&longs;culum,<emph.end type="italics"/> (twilight?)</s></p>

<pb pagenum="75"/><p type="main"><s>SIMPL. </s><s>It is &longs;o; and I have oftentimes wi&longs;h'd that the Air

<pb xlink:href="040/01/091.jpg" pagenum="75"/><p type="main"><s>SIMPL. </s><s>It is &longs;o; and I have oftentimes wi&longs;h'd that the Air

<lb/>would grow thicker, that I might be able to &longs;ee that &longs;ame light

<lb/>more plainly; but it ever di&longs;appeared before dark night.</s></p><p type="main"><s>SALV. </s><s>You know then very certainly, that in the depth of

<lb/>night, that light would be more con&longs;picuous.</s></p><p type="main"><s>SIMPL. </s><s>I do &longs;o; and al&longs;o more than that, if one could but

Line 4488

<lb/>may &longs;ee the &longs;aid light by degrees to grow dim; and after the

<pb pagenum="76"/>Quadrature, the &longs;ame appears very weak, becau&longs;e it continually

<pb xlink:href="040/01/092.jpg" pagenum="76"/>Quadrature, the &longs;ame appears very weak, becau&longs;e it continually

<lb/>lo&longs;eth more and more of the view of the luminous part of the

<lb/>Earth: and yet it &longs;hould &longs;ucceed quite contrary, if that light were

<lb/>its own, or communicated to it from the Stars; for then we &longs;hould

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<lb/>pinion, I would not wonder that he &longs;hould be &longs;o affectionate to it,

<pb pagenum="77"/>as to have received it for truth; but borrowing it from others, I

<pb xlink:href="040/01/093.jpg" pagenum="77"/>as to have received it for truth; but borrowing it from others, I

<lb/>cannot find any rea&longs;on &longs;ufficient to excu&longs;e him for not perceiving

<lb/>its fallacies; and e&longs;pecially after he had heard the true cau&longs;e of

<lb/>that effect, and had it in his power to &longs;atisfie him&longs;elf by a thou&longs;and

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<lb/>fu&longs;ed by means of this &longs;econdary light; fora&longs;much as on the part

<pb pagenum="78"/>towards the Sun it is bounded by the lucid horns of the Moon,

<pb xlink:href="040/01/094.jpg" pagenum="78"/>towards the Sun it is bounded by the lucid horns of the Moon,

<lb/>and on the other part, its confining term is the ob&longs;cure tract of the

<lb/>twilight; who&longs;e relation makes us think the candor of the Moons

<lb/><emph type="italics"/>Di&longs;cus<emph.end type="italics"/> to be &longs;o much the clearer; the which happens to be ob

Line 4656

<lb/>the things, as really they are. </s><s>As for in&longs;tance, to make the light

<pb pagenum="79"/>of the Sun capable to penetrate the &longs;ub&longs;tance of the Moon, he

<pb xlink:href="040/01/095.jpg" pagenum="79"/>of the Sun capable to penetrate the &longs;ub&longs;tance of the Moon, he

<lb/>makes her in part diaphanous, as is <emph type="italics"/>v. </s><s>g.<emph.end type="italics"/> the tran&longs;parence of a cloud,

<lb/>or cry&longs;tal: but I know not what he would think of &longs;uch a tran

<lb/>&longs;parency, in ca&longs;e the &longs;olar rayes were to pa&longs;&longs;e a depth of clouds

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<lb/>part not &longs;een, to be very confu&longs;ed, and mixt with light and

<pb pagenum="80"/>darkne&longs;&longs;e; for that that matter which admits the pa&longs;&longs;age of the

<pb xlink:href="040/01/096.jpg" pagenum="80"/>darkne&longs;&longs;e; for that that matter which admits the pa&longs;&longs;age of the

<lb/>Suns rayes thorow a &longs;pace of two thou&longs;and miles, mu&longs;t needs be

<lb/>&longs;o tran&longs;parent, that it would very weakly re&longs;i&longs;t them in a hun

<lb/>dredth, or le&longs;&longs;er part of that thickne&longs;&longs;e; neverthele&longs;&longs;e, the term

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<lb/>in my opinion nece&longs;&longs;arily conclude a va&longs;t di&longs;parity between them.</s></p>

<pb pagenum="81"/><p type="main"><s>SALV. </s><s>See <emph type="italics"/>Simplicius<emph.end type="italics"/> what an inveterate affection and radica

<pb xlink:href="040/01/097.jpg" pagenum="81"/><p type="main"><s>SALV. </s><s>See <emph type="italics"/>Simplicius<emph.end type="italics"/> what an inveterate affection and radica

<lb/>ted opinion can do, &longs;ince it is &longs;o powerful, that it makes you think

<lb/>that tho&longs;e very things favour you, which you produce again&longs;t

<lb/>your &longs;elf. </s><s>For if &longs;eparation and di&longs;tance are accidents &longs;ufficient to

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<lb/>therefore by a little and a little.</s></p>

<pb pagenum="82"/><p type="margin"><s><margin.target id="marg206"></margin.target><emph type="italics"/>Solidity of the

<pb xlink:href="040/01/098.jpg" pagenum="82"/><p type="margin"><s><margin.target id="marg206"></margin.target><emph type="italics"/>Solidity of the

<lb/>Lunar Globe argu

<lb/>ed from its being

<lb/>montainous.<emph.end type="italics"/></s></p><p type="margin"><s><margin.target id="marg207"></margin.target><emph type="italics"/>The Seas refle

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<lb/>&longs;i&longs;t of one thing more than another: It hath been &longs;een already

<pb pagenum="83"/>that a &longs;ilver plate boiled, being toucht with the Burni&longs;her, be

<pb xlink:href="040/01/099.jpg" pagenum="83"/>that a &longs;ilver plate boiled, being toucht with the Burni&longs;her, be

<lb/>cometh of white ob&longs;cure; that the moi&longs;t part of the Earth &longs;hews

<lb/>more ob&longs;cure than the dry; that in the tops of Hills, the woody

<lb/>parts appear more gloomy than the naked and barren; which

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<lb/>night, which effect in the Moon is monethly: and that annual decli

<pb pagenum="84"/>nation and elevation of the Sun in the Zodiack, by which it pro

<pb xlink:href="040/01/100.jpg" pagenum="84"/>nation and elevation of the Sun in the Zodiack, by which it pro

<lb/>duceth diver&longs;ity of Sea&longs;ons, and inequality of dayes and nights,

<lb/>are fini&longs;hed in the Moon in a moneth; and whereas the Sun to us

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<lb/>&longs;o vain pre&longs;umption of knowing all, can take beginning from no

<pb pagenum="85"/>thing, unle&longs;&longs;e from their never having known any thing; for if

<pb xlink:href="040/01/101.jpg" pagenum="85"/>thing, unle&longs;&longs;e from their never having known any thing; for if

<lb/>one hath but once onely experienced the perfect knowledg of one

<lb/>onely thing, and but truly ta&longs;ted what it is to know, he &longs;hall per

<lb/>ceive that of infinite other conclu&longs;ions, he under&longs;tands not &longs;o much

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<lb/>infinitely infinise.<emph.end type="italics"/></s></p><p type="main"><s>SALV. </s><s>Take hereof another example. </s><s>Do we not &longs;ay that the

<pb pagenum="86"/>judicious di&longs;covering of a mo&longs;t lovely <emph type="italics"/>Statua<emph.end type="italics"/> in a piece of Marble,

<pb xlink:href="040/01/102.jpg" pagenum="86"/>judicious di&longs;covering of a mo&longs;t lovely <emph type="italics"/>Statua<emph.end type="italics"/> in a piece of Marble,

<lb/>hath &longs;ublimated the wit of <emph type="italics"/>Buonarruotti<emph.end type="italics"/> far above the vulgar wits

<lb/>of other men? </s><s>And yet this work is onely the imitation of a

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<lb/>pinion you have, that my words are &longs;omewhat equivocal; there

<pb pagenum="87"/>fore the better to expre&longs;s my &longs;elf I &longs;ay, that as to the truth, of

<pb xlink:href="040/01/103.jpg" pagenum="87"/>fore the better to expre&longs;s my &longs;elf I &longs;ay, that as to the truth, of

<lb/>which Mathematical demon&longs;trations give us the knowledge, it is

<lb/>the &longs;ame, which the divine wi&longs;dom knoweth; but this I mu&longs;t grant

<lb/>you, that the manner whereby God knoweth the infinite propo

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<lb/>thing new, that I de&longs;pair of comprehending what is already di&longs;

<pb pagenum="88"/>covered, confounded with wonder, and &longs;urpri&longs;ed with de&longs;pera

<pb xlink:href="040/01/104.jpg" pagenum="88"/>covered, confounded with wonder, and &longs;urpri&longs;ed with de&longs;pera

<lb/>tion, I account my &longs;elf little le&longs;&longs;e than mi&longs;erable. </s><s>If I behold a

<lb/>Statue of &longs;ome excellent Ma&longs;ter, I &longs;ay with my &longs;elf; When wilt

<lb/>thou know how to chizzle away the refu&longs;e of a piece of Marble,

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<lb/>writing &longs;tupendious

<lb/>above all others.<emph.end type="italics"/></s></p><p type="margin"><s><margin.target id="marg230"></margin.target>* For of &longs;o many

<lb/>only the Italian

<lb/>Alphabet con&longs;i&longs;ts.</s></p><pb/><figure></figure><figure></figure><figure></figure><figure></figure><figure></figure><figure></figure><figure></figure><p type="caption"><s><emph type="italics"/>Place this Plate

<lb/>Alphabet con&longs;i&longs;ts.</s></p><pb xlink:href="040/01/105.jpg"/><figure id="id.040.01.105.1.jpg" xlink:href="040/01/105/1.jpg"/><figure id="id.040.01.105.2.jpg" xlink:href="040/01/105/2.jpg"/><figure id="id.040.01.105.3.jpg" xlink:href="040/01/105/3.jpg"/><figure id="id.040.01.105.4.jpg" xlink:href="040/01/105/4.jpg"/><figure id="id.040.01.105.5.jpg" xlink:href="040/01/105/5.jpg"/><figure id="id.040.01.105.6.jpg" xlink:href="040/01/105/6.jpg"/><figure id="id.040.01.105.7.jpg" xlink:href="040/01/105/7.jpg"/><p type="caption"><s><emph type="italics"/>Place this Plate

<lb/>at the end of

<lb/>the first<emph.end type="italics"/><lb/>Dialogue</s></p><pb/></chap><chap>

<lb/>the first<emph.end type="italics"/><lb/>Dialogue</s></p><pb xlink:href="040/01/106.jpg"/></chap><chap>

<pb pagenum="89"/><p type="head"><s>GALILÆUS

<pb xlink:href="040/01/107.jpg" pagenum="89"/><p type="head"><s>GALILÆUS

<lb/>Galilæus Lyncæus,

<lb/>HIS

<lb/>SYSTEME

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<lb/>&longs;um of ye&longs;terdayes conferences were an examination of the Prin

<pb pagenum="90"/>ciples of <emph type="italics"/>Ptolomy<emph.end type="italics"/> and <emph type="italics"/>Copernicus,<emph.end type="italics"/> and which of their opinions is

<pb xlink:href="040/01/108.jpg" pagenum="90"/>ciples of <emph type="italics"/>Ptolomy<emph.end type="italics"/> and <emph type="italics"/>Copernicus,<emph.end type="italics"/> and which of their opinions is

<lb/>the more probable and rational; that, which affirmeth the &longs;ub

<lb/>&longs;tance of the C&oelig;le&longs;tial bodies to be ingenerable, incorruptible, un

<lb/>alterable, impa&longs;&longs;ible, and in a word, exempt from all kind of change,

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<lb/>great ab&longs;urdity.</s></p>

<pb pagenum="91"/><p type="main"><s>SAGR. </s><s>I not onely &longs;mile, but to tell you true, am ready to

<pb xlink:href="040/01/109.jpg" pagenum="91"/><p type="main"><s>SAGR. </s><s>I not onely &longs;mile, but to tell you true, am ready to

<lb/>bur&longs;t with holding in my &longs;elf from laughing outright, for you

<lb/>have put me in mind of a very pretty pa&longs;&longs;age, that I was a wit

<lb/>ne&longs;&longs;e of, not many years &longs;ince, together with &longs;ome others of

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<lb/>that every &longs;aying of his may be alwayes as it were, pre&longs;ent in our

<pb pagenum="92"/>memory for he did not write to the vulgar, nor is he obliged to

<pb xlink:href="040/01/110.jpg" pagenum="92"/>memory for he did not write to the vulgar, nor is he obliged to

<lb/>&longs;pin out his Sillogi&longs;mes with the trivial method of di&longs;putes; nay

<lb/>rather, u&longs;ing a freedome, he hath &longs;ometimes placed the proof

<lb/>of one Propo&longs;ition among&longs;t Texts, which &longs;eem to treat of quite

Line 5394

<lb/>Heaven, at noon day; and, addre&longs;&longs;ing him&longs;elf to the company,

<pb pagenum="93"/>&longs;ee here, &longs;aith he, the Well, which repre&longs;enteth the Tube, &longs;ee

<pb xlink:href="040/01/111.jpg" pagenum="93"/>&longs;ee here, &longs;aith he, the Well, which repre&longs;enteth the Tube, &longs;ee

<lb/>here the gro&longs;s vapours, from whence is taken the invention of

<lb/>the Cry&longs;tals, and &longs;ee here la&longs;tly the &longs;ight fortified by the pa&longs;&longs;age

<lb/>of the rays through a diaphanous, but more den&longs;e and ob&longs;cure

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<lb/>who laught at the Doctor and his Comments? </s><s>Do you que&longs;tion

<pb pagenum="94"/>whether <emph type="italics"/>Ari&longs;totle,<emph.end type="italics"/> had he but &longs;een the novelties di&longs;covered in Hea

<pb xlink:href="040/01/112.jpg" pagenum="94"/>whether <emph type="italics"/>Ari&longs;totle,<emph.end type="italics"/> had he but &longs;een the novelties di&longs;covered in Hea

<lb/>ven, would not have changed his opinion, amended his Books,

<lb/>and embraced the more &longs;en&longs;ible Doctrine; rejecting tho&longs;e &longs;illy

<lb/>Gulls, which too &longs;crupulou&longs;ly, go about to defend what ever he

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<lb/>according to the art intimated to us by <emph type="italics"/>Simplicius<emph.end type="italics"/>? </s><s>for if his

<pb pagenum="95"/>works contain all things knowable, it mu&longs;t follow al&longs;o that they

<pb xlink:href="040/01/113.jpg" pagenum="95"/>works contain all things knowable, it mu&longs;t follow al&longs;o that they

<lb/>may be therein di&longs;covered.</s></p><p type="main"><s>SALV. </s><s>Good <emph type="italics"/>Sagredus,<emph.end type="italics"/> make no je&longs;t of this advice, which me

<lb/>thinks you rehear&longs;e in too Ironical a way; for it is not long &longs;ince

<lb/>that a very eminent Philo&longs;opher having compo&longs;ed a Book <emph type="italics"/>de animà,<emph.end type="italics"/>

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<lb/>&longs;peak this, for that I am again&longs;t hearing of <emph type="italics"/>Ari&longs;totle<emph.end type="italics"/>; for on the

<pb pagenum="96"/>contrary, I commend the reading, and diligently &longs;tudying of him;

<pb xlink:href="040/01/114.jpg" pagenum="96"/>contrary, I commend the reading, and diligently &longs;tudying of him;

<lb/>and onely blame the &longs;ervile giving ones &longs;elf up a &longs;lave unto him,

<lb/>&longs;o, as blindly to &longs;ub&longs;cribe to what ever he delivers, and without

<lb/>&longs;earch of any farther rea&longs;on thereof, to receive the &longs;ame for an in

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<lb/>piercing wit of <emph type="italics"/>Sagredus<emph.end type="italics"/>?</s></p>

<pb pagenum="97"/><p type="main"><s>SAGR. </s><s>I am what ever plea&longs;eth <emph type="italics"/>Salviatus,<emph.end type="italics"/> but I pray you,

<pb xlink:href="040/01/115.jpg" pagenum="97"/><p type="main"><s>SAGR. </s><s>I am what ever plea&longs;eth <emph type="italics"/>Salviatus,<emph.end type="italics"/> but I pray you,

<lb/>let us not &longs;ally out into another kind of digre&longs;&longs;ion complemental;

<lb/>for at this time I am a Philo&longs;opher, and in the Schools, not in the

<lb/>Court.</s></p><p type="main"><s>SALV. </s><s>Let our contemplation begin therefore with this con&longs;i

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<lb/>futing this, as he hath done the other.</s></p>

<pb pagenum="98"/><p type="main"><s>SALV. </s><s>You have good cau&longs;e for your doubt: and when we

<pb xlink:href="040/01/116.jpg" pagenum="98"/><p type="main"><s>SALV. </s><s>You have good cau&longs;e for your doubt: and when we

<lb/>come to treat of the other Motion, you &longs;hall &longs;ee how far <emph type="italics"/>Coper

<lb/>nicus<emph.end type="italics"/> excelled <emph type="italics"/>Ptolomey<emph.end type="italics"/> in clearne&longs;s and &longs;ublimity of wit, in that

<lb/>he &longs;aw what the other did not, I mean the admirable harmony

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<lb/>&longs;hip is laden, &longs;o far move, by how far leaving <emph type="italics"/>London,<emph.end type="italics"/> they pa&longs;s

<pb pagenum="99"/>by <emph type="italics"/>France, Spain, Italy,<emph.end type="italics"/> and &longs;ail to <emph type="italics"/>Aleppo,<emph.end type="italics"/> which <emph type="italics"/>London, France,

<pb xlink:href="040/01/117.jpg" pagenum="99"/>by <emph type="italics"/>France, Spain, Italy,<emph.end type="italics"/> and &longs;ail to <emph type="italics"/>Aleppo,<emph.end type="italics"/> which <emph type="italics"/>London, France,

<lb/>Spain &c.<emph.end type="italics"/> &longs;tand &longs;till, not moving with the &longs;hip: but as to the

<lb/>Che&longs;ts, Bales and other Parcels, wherewith the &longs;hip is &longs;tow'd and

<lb/>and laden, and in re&longs;pect of the &longs;hip it &longs;elf, the Motion from <emph type="italics"/>Lon

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<lb/>number of mo&longs;t va&longs;t bodies move, and that with an unconceivable

<pb pagenum="100"/>velocity, to perform that, which might be done by the moderate

<pb xlink:href="040/01/118.jpg" pagenum="100"/>velocity, to perform that, which might be done by the moderate

<lb/>motion of one alone about its own Centre?</s></p><p type="margin"><s><margin.target id="marg252"></margin.target><emph type="italics"/>The fir&longs;t di&longs;cour&longs;e

<lb/>to prove that the

<lb/>diurnal motion be

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<lb/>they interfered in a right line.</s></p>

<pb pagenum="101"/><p type="main"><s>SAGR. </s><s>Hold a little, I pray you. </s><s>Tell me <emph type="italics"/>Simplicius,<emph.end type="italics"/> when

<pb xlink:href="040/01/119.jpg" pagenum="101"/><p type="main"><s>SAGR. </s><s>Hold a little, I pray you. </s><s>Tell me <emph type="italics"/>Simplicius,<emph.end type="italics"/> when

<lb/>two Knights encounter each other, tilting in open field, or when

<lb/>two whole Squadrons, or two Fleets at Sea, make up to grapple,

<lb/>and are broken and &longs;unk, do you call the&longs;e encounters contrary to

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<lb/>thence to that of the bigger Sphere of <emph type="italics"/>Jupiter<emph.end type="italics"/> in twelve years, and

<pb pagenum="102"/>from this to the other yet bigger of <emph type="italics"/>Saturn,<emph.end type="italics"/> who&longs;e period is of

<pb xlink:href="040/01/120.jpg" pagenum="102"/>from this to the other yet bigger of <emph type="italics"/>Saturn,<emph.end type="italics"/> who&longs;e period is of

<lb/>thirty years, it is nece&longs;&longs;ary, I &longs;ay, that you pa&longs;&longs;e to another

<lb/>Sphere incomparably greater &longs;till than that, and make this to ac

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<lb/>be the &longs;olidity of that immen&longs;e Sphere, who&longs;e depth &longs;o &longs;tedfa&longs;tly

<pb pagenum="103"/>holdeth fa&longs;t &longs;uch a multitude of Stars, which without ever chang

<pb xlink:href="040/01/121.jpg" pagenum="103"/>holdeth fa&longs;t &longs;uch a multitude of Stars, which without ever chang

<lb/>ing fite among them&longs;elves, are with &longs;o much concord carried a

<lb/>bout, with &longs;o great di&longs;parity of motions. </s><s>Or el&longs;e, &longs;uppo&longs;ing the

<lb/>Heavens to be fluid, as we are with more rea&longs;on to believe, &longs;o

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<lb/>by participation that which carrieth him to his Port, whither he

<pb pagenum="104"/>would never with his walking have arrived, if the Ship with its

<pb xlink:href="040/01/122.jpg" pagenum="104"/>would never with his walking have arrived, if the Ship with its

<lb/>motion had not wafted him thither.</s></p><p type="margin"><s><margin.target id="marg269"></margin.target><emph type="italics"/>A &longs;ingle move

<lb/>able hath but onely

<lb/>one natural moti

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<lb/>expeditious way.</s></p>

<pb pagenum="105"/><p type="main"><s>SAGR. </s><s>In my judgment this is found. </s><s>Make the Earth the

<pb xlink:href="040/01/123.jpg" pagenum="105"/><p type="main"><s>SAGR. </s><s>In my judgment this is found. </s><s>Make the Earth the

<lb/><emph type="italics"/>Primum mobile,<emph.end type="italics"/> that is, make it turn round its own <emph type="italics"/>axis<emph.end type="italics"/> in twenty

<lb/>four hours, and towards the &longs;ame point with all the other Spheres;

<lb/>and without participating this &longs;ame motion to any other Planet or

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<lb/>finite power it is better to exerci&longs;e a great part than a &longs;mall: I an

<pb pagenum="106"/>&longs;wer, that of infinite one part is not greater than another, &longs;ince

<pb xlink:href="040/01/124.jpg" pagenum="106"/>&longs;wer, that of infinite one part is not greater than another, &longs;ince

<lb/>both are infinite; nor can it be &longs;aid, that of the infinite number,

<lb/>an hundred thou&longs;and is a greater part than two, though that be

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<lb/>day, let us return to our matter in hand; and let <emph type="italics"/>Simplicius<emph.end type="italics"/> be

<pb pagenum="107"/>gin to produce tho&longs;e difficulties that &longs;eem in his opinion, to thwart

<pb xlink:href="040/01/125.jpg" pagenum="107"/>gin to produce tho&longs;e difficulties that &longs;eem in his opinion, to thwart

<lb/>this new di&longs;po&longs;ition of the World.</s></p><p type="main"><s>SIMPL. </s><s>That di&longs;po&longs;ition is not new, but very old, and that

<lb/>you may &longs;ee it is &longs;o, <emph type="italics"/>Ari&longs;totle<emph.end type="italics"/> confuteth it; and his confutations

<lb/>are the&longs;e: “Fir&longs;t if the Earth moveth either in it felf about its

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<lb/>its direct motion.</s></p><p type="main"><s>SALV. </s><s>The arguments which are brought upon this occa&longs;ion

<pb pagenum="108"/>are of two kinds: &longs;ome have re&longs;pect to the accidents Terre&longs;trial,

<pb xlink:href="040/01/126.jpg" pagenum="108"/>are of two kinds: &longs;ome have re&longs;pect to the accidents Terre&longs;trial,

<lb/>without any relation to the Stars, and others are taken from the

<lb/><emph type="italics"/>Phænomena<emph.end type="italics"/> and ob&longs;ervations of things C&oelig;le&longs;tial. </s><s>The arguments

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<lb/>tal) out of a Culverin towards the Ea&longs;t, and afterwards another,

<pb pagenum="109"/>with the &longs;ame charge, and at the &longs;ame elevation or di&longs;port towards

<pb xlink:href="040/01/127.jpg" pagenum="109"/>with the &longs;ame charge, and at the &longs;ame elevation or di&longs;port towards

<lb/>the We&longs;t, the range towards the We&longs;t &longs;hould be very much grea

<lb/>ter then the other towards the Ea&longs;t: for that whil'&longs;t the ball goeth

<lb/>We&longs;tward, and the Peece is carried along by the Earth Ea&longs;tward,

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<lb/>a&longs;&longs;i&longs;t us in the knowledge of the Truth. </s><s>Oh! how exactly one

<pb pagenum="110"/>truth agreeth with another, and all con&longs;pire to render each other

<pb xlink:href="040/01/128.jpg" pagenum="110"/>truth agreeth with another, and all con&longs;pire to render each other

<lb/>inexpugnable!</s></p><p type="main"><s>SAGR. </s><s>What pity it is that Guns were not u&longs;ed in <emph type="italics"/>Ari&longs;totles<emph.end type="italics"/>

<lb/>age, he would with help of them have ea&longs;ily battered down ig

<lb/>norance, and &longs;poke without hæ&longs;itation of the&longs;e mundane points.</s></p><p type="main"><s>SALV. </s><s>I am very glad that the&longs;e rea&longs;ons are new unto you, that

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<lb/>pains they had taken in the Book of <emph type="italics"/>Copernicus,<emph.end type="italics"/> I found very

<pb pagenum="111"/>few that had &longs;o much as &longs;uperficially peru&longs;ed it; but of tho&longs;e

<pb xlink:href="040/01/129.jpg" pagenum="111"/>few that had &longs;o much as &longs;uperficially peru&longs;ed it; but of tho&longs;e

<lb/>whom, I thought, had under&longs;tood the &longs;ame, not one; and more

<lb/>over, I have enquired among&longs;t the followers of the <emph type="italics"/>Peripatetick<emph.end type="italics"/>

<lb/>Doctrine, if ever any of them had held the contrary opinion, and

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<lb/>Whether the Starry Sphere and the Sun &longs;tanding &longs;till in the Centre,

<pb pagenum="112"/>the Earth is without the &longs;ame, and owner of all tho&longs;e motions that

<pb xlink:href="040/01/130.jpg" pagenum="112"/>the Earth is without the &longs;ame, and owner of all tho&longs;e motions that

<lb/>in our &longs;eeming belong to the Sun and fixed Stars?</s></p><p type="main"><s>SIMPL. </s><s>The&longs;e are the conclu&longs;ions which are in di&longs;pute.</s></p><p type="main"><s>SAGR. </s><s>And the&longs;e two conclu&longs;ions, are they not of &longs;uch a na

<lb/>ture, that one of them mu&longs;t nece&longs;&longs;arily be true, and the other

<lb/>fal&longs;e?</s></p><p type="main"><s>SIMPL. </s><s>They are &longs;o. </s><s>We are in a <emph type="italics"/>Dilemma,<emph.end type="italics"/> one part of which

Line 6524

<lb/>on them only mo&longs;t different con&longs;equences, and e&longs;pecially when

<pb pagenum="113"/>applyed to the Sun, and to the Earth, &longs;o va&longs;t and famous bodies

<pb xlink:href="040/01/131.jpg" pagenum="113"/>applyed to the Sun, and to the Earth, &longs;o va&longs;t and famous bodies

<lb/>of the Univer&longs;e; and it being, moreover, impo&longs;&longs;ible, that one of

<lb/>two contradictory Propo&longs;itions, &longs;hould not be true, and the other

<lb/>fal&longs;e; and that for proof of the fal&longs;e one, any thing can be pro

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<lb/>that of the Projections, and it is of things that being &longs;eparated

<pb pagenum="114"/>from the Earth, continue a good &longs;pace of time in the Air, &longs;uch

<pb xlink:href="040/01/132.jpg" pagenum="114"/>from the Earth, continue a good &longs;pace of time in the Air, &longs;uch

<lb/>as are the Clouds, Birds of flight; and as of them it cannot be

<lb/>&longs;aid that they are rapt or tran&longs;parted by the Earth, having no ad

<lb/>he&longs;ion thereto, it &longs;eems not po&longs;&longs;ible, that they &longs;hould be able to

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<lb/>deprive it of the annual motion about the &longs;ame, a&longs;cribed unto it

<pb pagenum="115"/>by <emph type="italics"/>Copernicus.<emph.end type="italics"/> Which arguments, as being of &longs;omewhat a di&longs;te

<pb xlink:href="040/01/133.jpg" pagenum="115"/>by <emph type="italics"/>Copernicus.<emph.end type="italics"/> Which arguments, as being of &longs;omewhat a di&longs;te

<lb/>rent nature, may be produced, after we have examined the

<lb/>&longs;trength of the&longs;e already propounded.</s></p><p type="margin"><s><margin.target id="marg293"></margin.target><emph type="italics"/>An argument

<lb/>taken from the

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<lb/>twenty four hours, I &longs;ay, that they do &longs;o; and it concerns you,

<pb pagenum="116"/>in&longs;tead of <emph type="italics"/>Ari&longs;totle,<emph.end type="italics"/> to prove that they do not.</s></p><p type="margin"><s><margin.target id="marg297"></margin.target><emph type="italics"/>The an&longs;wer to<emph.end type="italics"/>

<pb xlink:href="040/01/134.jpg" pagenum="116"/>in&longs;tead of <emph type="italics"/>Ari&longs;totle,<emph.end type="italics"/> to prove that they do not.</s></p><p type="margin"><s><margin.target id="marg297"></margin.target><emph type="italics"/>The an&longs;wer to<emph.end type="italics"/>

<lb/>Ari&longs;totles <emph type="italics"/>fir&longs;t ar

<lb/>gument.<emph.end type="italics"/></s></p><p type="main"><s>SIMPL. </s><s>This is proved by <emph type="italics"/>Ari&longs;totle<emph.end type="italics"/> in the &longs;ame place, when he

<lb/>&longs;aith, that the natural motion of the parts is the right motion

Line 6726

<lb/>nally.</s></p>

<pb pagenum="117"/><p type="main"><s>SIMPL. </s><s>It may, in ca&longs;e the Ship were incorruptible, but the

<pb xlink:href="040/01/135.jpg" pagenum="117"/><p type="main"><s>SIMPL. </s><s>It may, in ca&longs;e the Ship were incorruptible, but the

<lb/>Ship decaying, the Navigation mu&longs;t of nece&longs;&longs;ity come to an end.</s></p><p type="main"><s>SALV. </s><s>But in the Mediterrane, though the Ve&longs;&longs;el were incor

<lb/>ruptible, yet could &longs;he not &longs;ail perpetually towards <emph type="italics"/>Pale&longs;tina,<emph.end type="italics"/> that

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<lb/>&longs;etting of the Fixed Stars: Which effect is not perceived to en&longs;ue.

<pb pagenum="118"/>Therefore, &c. </s><s>The mo&longs;t proper and genuine an&longs;wer to this Alle

<pb xlink:href="040/01/136.jpg" pagenum="118"/>Therefore, &c. </s><s>The mo&longs;t proper and genuine an&longs;wer to this Alle

<lb/>gation is contained in the Argument it &longs;elf; and even <emph type="italics"/>Aristotle<emph.end type="italics"/>

<lb/>puts it in our mouths, which it is impo&longs;&longs;ible, <emph type="italics"/>Simplicius,<emph.end type="italics"/> that you

<lb/>&longs;hould not have &longs;een.</s></p><p type="margin"><s><margin.target id="marg303"></margin.target><emph type="italics"/>The an&longs;wer to

Line 6836

<lb/>with more than one Byas, except the fir&longs;t Sphere (that is <emph type="italics"/>the pri-<emph.end type="italics"/>

<pb pagenum="119"/><emph type="italics"/>mum mobile<emph.end type="italics"/>) therefore the Earth moving about its own centre,

<pb xlink:href="040/01/137.jpg" pagenum="119"/><emph type="italics"/>mum mobile<emph.end type="italics"/>) therefore the Earth moving about its own centre,

<lb/>being placed in the middle, mu&longs;t of nece&longs;&longs;ity have two bya&longs;&longs;es,

<lb/>and fore&longs;low. </s><s>But if this were &longs;o, it would follow, that there

<lb/>&longs;hould be a variation in the ri&longs;ing and &longs;etting of the fixed Stars,

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<lb/>again&longs;t the <emph type="italics"/>Copernican Hypothe&longs;is<emph.end type="italics"/>; and if the objection be inge

<pb pagenum="120"/>nious, and to outward appearance mo&longs;t powerful, you may &longs;ee

<pb xlink:href="040/01/138.jpg" pagenum="120"/>nious, and to outward appearance mo&longs;t powerful, you may &longs;ee

<lb/>how much more acute and ingenious the &longs;olution mu&longs;t be, and

<lb/>not to be found by a wit le&longs;&longs;e piercing than that of <emph type="italics"/>Copernicus<emph.end type="italics"/>;

<lb/>and again from the difficulty in under&longs;tanding it, you may argue

Line 6944

<pb pagenum="121"/><p type="main"><s>SALV. </s><s>But if it &longs;hould happen that the Terre&longs;trial Globe did

<pb xlink:href="040/01/139.jpg" pagenum="121"/><p type="main"><s>SALV. </s><s>But if it &longs;hould happen that the Terre&longs;trial Globe did

<lb/>move round, and con&longs;equently carry the Tower al&longs;o along with

<lb/>it, and that the &longs;tone did then al&longs;o grate and &longs;lide along the &longs;ide of

<lb/>the Tower, what mu&longs;t its motion be then?</s></p><p type="main"><s>SIMPL. </s><s>In this ca&longs;e we may rather &longs;ay its motions: for it

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<lb/>no certain knowledg whether that &longs;ame &longs;hall be direct and perpen

<pb pagenum="122"/>dicular, unle&longs;s we fir&longs;t know that the Earth &longs;tands &longs;till? </s><s>Therefore

<pb xlink:href="040/01/140.jpg" pagenum="122"/>dicular, unle&longs;s we fir&longs;t know that the Earth &longs;tands &longs;till? </s><s>Therefore

<lb/>in your Syllogi&longs;m the certainty of the middle term is a&longs;&longs;umed

<lb/>from the uncertainty of the conclu&longs;ion. </s><s>You may &longs;ee then, what

<lb/>and how great the Paralogi&longs;m is.</s></p><p type="main"><s>SAGR. </s><s>I would, in favour of <emph type="italics"/>Simplicius,<emph.end type="italics"/> defend <emph type="italics"/>Ari&longs;totle<emph.end type="italics"/> if it

Line 7026

<lb/>mixture of the right motion downwards of the &longs;tone, with the

<pb pagenum="123"/>circular which we pre&longs;uppo&longs;e natural to the whole Terre&longs;trial

<pb xlink:href="040/01/141.jpg" pagenum="123"/>circular which we pre&longs;uppo&longs;e natural to the whole Terre&longs;trial

<lb/>Globe, of which the &longs;tone is a part.</s></p><p type="margin"><s><margin.target id="marg311"></margin.target>Ari&longs;totle <emph type="italics"/>admit

<lb/>teth that the Fire

<lb/>moveth directly

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<lb/>is very rea&longs;onable that that &longs;tone, it being &longs;eparated from the &longs;hip,

<pb pagenum="124"/>do reduce its &longs;elf to its natural di&longs;po&longs;ure, and return to exerci&longs;e

<pb xlink:href="040/01/142.jpg" pagenum="124"/>do reduce its &longs;elf to its natural di&longs;po&longs;ure, and return to exerci&longs;e

<lb/>its pure &longs;imple in&longs;tinct given it by nature. </s><s>To this I add, that

<lb/>it's nece&longs;&longs;ary, that at lea&longs;t that part of the Air which is beneath the

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<lb/>vour our opinion.</s></p>

<pb pagenum="125"/><p type="main"><s>SALV. </s><s>Well &longs;aid you <emph type="italics"/>hitherto,<emph.end type="italics"/> for perhaps it may anon change

<pb xlink:href="040/01/143.jpg" pagenum="125"/><p type="main"><s>SALV. </s><s>Well &longs;aid you <emph type="italics"/>hitherto,<emph.end type="italics"/> for perhaps it may anon change

<lb/>countenance. </s><s>And that I may no longer hold you in &longs;u&longs;pen&longs;e,

<lb/>tell me, <emph type="italics"/>Simplicius,<emph.end type="italics"/> do you really believe, that the Experiment of

<lb/>the &longs;hip &longs;quares &longs;o very well with our purpo&longs;e, as that it ought to

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<lb/>remit the &longs;ame to their Predece&longs;&longs;ors, without ever arriving at one

<pb pagenum="126"/>that had made the experiment: for whoever &longs;hall examine the

<pb xlink:href="040/01/144.jpg" pagenum="126"/>that had made the experiment: for whoever &longs;hall examine the

<lb/>&longs;ame, &longs;hall find the event &longs;ucceed quite contrary to what hath

<lb/>been written of it: that is, he &longs;hall &longs;ee the &longs;tone fall at all times

<lb/>in the &longs;ame place of the Ship, whether it &longs;tand &longs;till, or move with

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<lb/>you did put a Ball perfectly &longs;pherical, and of a &longs;ub&longs;tance grave and

<pb pagenum="127"/>hard, as &longs;uppo&longs;e of bra&longs;s; what think you it would do being let

<pb xlink:href="040/01/145.jpg" pagenum="127"/>hard, as &longs;uppo&longs;e of bra&longs;s; what think you it would do being let

<lb/>go? </s><s>do not you believe (as for my part I do) that it would lie

<lb/>&longs;till?</s></p><p type="main"><s>SIMPL. </s><s>If that &longs;uperficies were inclining?</s></p><p type="main"><s>SALV. Yes; for &longs;o I have already &longs;uppo&longs;ed.</s></p><p type="main"><s>SIMPL. </s><s>I cannot conceive how it &longs;hould lie &longs;till: nay, I am

<lb/>confident that it would move towards the declivity with much pro

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<lb/>its motion be?</s></p><p type="main"><s>SIMPL. </s><s>The motion would go continually decrea&longs;ing and re

<pb pagenum="128"/>tarding, as being contrary to nature; and would be longer or

<pb xlink:href="040/01/146.jpg" pagenum="128"/>tarding, as being contrary to nature; and would be longer or

<lb/>&longs;horter, according to the greater or le&longs;s impul&longs;e, and according to

<lb/>the greater or le&longs;s acclivity.</s></p><p type="main"><s>SALV. </s><s>It &longs;eems, then, that hitherto you have explained to me

<lb/>the accidents of a moveable upon two different Planes; and that

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<lb/>be perpetual.</s></p>

<pb pagenum="129"/><p type="main"><s>SIMP. </s><s>I think &longs;o, if &longs;o be the moveable be of a matter

<pb xlink:href="040/01/147.jpg" pagenum="129"/><p type="main"><s>SIMP. </s><s>I think &longs;o, if &longs;o be the moveable be of a matter

<lb/>durable.</s></p><p type="main"><s>SALV. </s><s>That hath been already &longs;uppo&longs;ed, when it was &longs;aid,

<lb/>that all external and accidental impediments were removed, and

<lb/>the brittlene&longs;&longs;e of the moveable in this our ca&longs;e, is one of tho&longs;e

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<lb/>being deprived of that of the &longs;trength of Oars, of which it had

<pb pagenum="130"/>been partaker, as part of the &longs;hip, at the time that it was upon

<pb xlink:href="040/01/148.jpg" pagenum="130"/>been partaker, as part of the &longs;hip, at the time that it was upon

<lb/>the Ma&longs;t; the other is the new motion of de&longs;cent, which al&longs;o

<lb/>mu&longs;t needs be an hinderance of that other progre&longs;&longs;ive motion.</s></p><p type="main"><s>SALV. </s><s>As to the impediment of the Air, I do not deny it

<lb/>you; and if the thing falling were a light matter, as a feather,

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<lb/>the <emph type="italics"/>medium,<emph.end type="italics"/> which in our ca&longs;e happeneth to be the Air. </s><s>And

<pb pagenum="131"/>therefore if that &longs;tone let fall from the round top, ought to fol

<pb xlink:href="040/01/149.jpg" pagenum="131"/>therefore if that &longs;tone let fall from the round top, ought to fol

<lb/>low the motion of the &longs;hip, that effect &longs;hould be a&longs;cribed to the

<lb/>Air, and not to the vertue impre&longs;&longs;ed. </s><s>But you pre&longs;uppo&longs;e that

<lb/>the Air doth not follow the motion of the &longs;hip, but is tranquil.

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<lb/>would fall at the foot of the projicient or thrower.</s></p>

<pb pagenum="132"/><p type="main"><s><arrow.to.target n="marg319"></arrow.to.target></s></p><p type="margin"><s><margin.target id="marg319"></margin.target><emph type="italics"/>Many experi

<pb xlink:href="040/01/150.jpg" pagenum="132"/><p type="main"><s><arrow.to.target n="marg319"></arrow.to.target></s></p><p type="margin"><s><margin.target id="marg319"></margin.target><emph type="italics"/>Many experi

<lb/>ments, and rea

<lb/>&longs;ons again&longs;t the

<lb/>cau&longs;e of the moti

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<lb/>which is upon that &longs;ame Table?</s></p>

<pb pagenum="133"/><p type="main"><s>SIMP. </s><s>Becau&longs;e that the air it &longs;elf is not moved</s></p><p type="main"><s>SALV. </s><s>It is requi&longs;ite then, that the projicient do confer mo

<pb xlink:href="040/01/151.jpg" pagenum="133"/><p type="main"><s>SIMP. </s><s>Becau&longs;e that the air it &longs;elf is not moved</s></p><p type="main"><s>SALV. </s><s>It is requi&longs;ite then, that the projicient do confer mo

<lb/>tion on the Air, with which it afterward moveth the project. </s><s>But

<lb/>if &longs;uch a motion cannot be impre&longs;&longs;ed [<emph type="italics"/>i. </s><s>e. </s><s>imparted<emph.end type="italics"/>] it being im

<lb/>po&longs;&longs;ible to make an accident pa&longs;&longs;e out of one &longs;ubject into another,

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<lb/>Table, in a time when a &longs;trong Wind bloweth, one towards

<pb pagenum="134"/>the cour&longs;e of the wind, and the other &longs;idelong, the wind will

<pb xlink:href="040/01/152.jpg" pagenum="134"/>the cour&longs;e of the wind, and the other &longs;idelong, the wind will

<lb/>quickly carry away this later, and leave the other where it was;

<lb/>and the &longs;ame to my &longs;eeming, ought to happen, if the Doctrine of

<lb/><emph type="italics"/>Ari&longs;totle<emph.end type="italics"/> were true, of tho&longs;e two &longs;hot out of a Bow: fora&longs;much

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<lb/>motion of the &longs;hip: but in ca&longs;e the air &longs;hould move with equal

<pb pagenum="135"/>velocity, no imaginable diver&longs;ity could be found either in this,

<pb xlink:href="040/01/153.jpg" pagenum="135"/>velocity, no imaginable diver&longs;ity could be found either in this,

<lb/>or any other experiment what&longs;oever, as I am anon to tell you.

<lb/></s><s>Now if in this ca&longs;e there appeareth no difference at all, what can

<lb/>be pretended to be &longs;een in the &longs;tone falling from the top of the

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<lb/>tho&longs;e &longs;elf &longs;ame two pul&longs;es. </s><s>And in this fa&longs;hion, if a Canon were

<pb pagenum="136"/>level'd on the top of a Tower, and &longs;hots were made therewith

<pb xlink:href="040/01/154.jpg" pagenum="136"/>level'd on the top of a Tower, and &longs;hots were made therewith

<lb/>point blank, that is, paralel to the Horizon, let the Piece have a

<lb/>greater or le&longs;s charge, &longs;o as that the ball may fall &longs;ometimes a

<lb/>thou&longs;and yards di&longs;tant, &longs;ometimes four thou&longs;and, &longs;ometimes &longs;ix,

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<pb pagenum="137"/><p type="main"><s>SALV. </s><s>I believe that you very much deceive your &longs;elf, and am

<pb xlink:href="040/01/155.jpg" pagenum="137"/><p type="main"><s>SALV. </s><s>I believe that you very much deceive your &longs;elf, and am

<lb/>certain, that experience will &longs;hew you the contrary, and that the ball

<lb/>being once arrived at the ground, will run together with the hor&longs;e,

<lb/>not &longs;taying behind him, unle&longs;s &longs;o far as the a&longs;perity and uneven

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<lb/>by one that any way runneth very &longs;wiftly, being arrived at the

<pb pagenum="138"/>Earth, doth not onely follow the cour&longs;e of that per&longs;on, but doth

<pb xlink:href="040/01/156.jpg" pagenum="138"/>Earth, doth not onely follow the cour&longs;e of that per&longs;on, but doth

<lb/>much out go him. </s><s>Which Problem is connexed with this, that

<lb/>the moveable being thrown by the projicient above the plane of

<lb/>the Horizon, may acquire new velocity, greater by far than that

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<lb/>the &longs;quare?</s></p>

<pb pagenum="139"/><p type="main"><s>SAGR. </s><s>And cannot you, <emph type="italics"/>Simplicius,<emph.end type="italics"/> give a rea&longs;on for this,

<pb xlink:href="040/01/157.jpg" pagenum="139"/><p type="main"><s>SAGR. </s><s>And cannot you, <emph type="italics"/>Simplicius,<emph.end type="italics"/> give a rea&longs;on for this,

<lb/>without others prompting you?</s></p><p type="main"><s>SIMP. </s><s>Very good, I can &longs;o; but leave your jeering.</s></p><p type="main"><s>SAGR. </s><s>In like manner you do know the rea&longs;on of this other

<lb/>al&longs;o. </s><s>Tell me therefore; know you that a thing which moveth,

<lb/>being impeded &longs;tands &longs;till?</s></p><p type="main"><s>SIMP. </s><s>I know it doth, if the impediment be &longs;o great as to

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<lb/>heavy.</s></p>

<pb pagenum="140"/><p type="main"><s>SIMP. </s><s>The top will run reeling along the floor towards that

<pb xlink:href="040/01/158.jpg" pagenum="140"/><p type="main"><s>SIMP. </s><s>The top will run reeling along the floor towards that

<lb/>part whither its upper parts encline it.</s></p><p type="main"><s>SAGR. </s><s>And why not whither the contrary parts tend, namely,

<lb/>tho&longs;e which touch the ground?</s></p><p type="main"><s>SIMP. </s><s>Becau&longs;e tho&longs;e upon the ground happen to be impeded

<lb/>by the roughne&longs;s of the touch, that is, by the floors unevenne&longs;s;

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<lb/>wanting; and returning to the Earth will get it again, and by that

<pb pagenum="141"/>means move again fa&longs;ter, than in the air. </s><s>It onely re&longs;ts for me to

<pb xlink:href="040/01/159.jpg" pagenum="141"/>means move again fa&longs;ter, than in the air. </s><s>It onely re&longs;ts for me to

<lb/>under&longs;tand, whether in this &longs;econd motion on the Earth it move

<lb/>more &longs;wiftly, than in the fir&longs;t; for then it would move <emph type="italics"/>in infini

<lb/>tum,<emph.end type="italics"/> alwayes accelerating.</s></p><p type="main"><s>SAGR. </s><s>I did not ab&longs;olutely affirm, that this &longs;econd motion is

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<lb/>adver&longs;ary, giving him the u&longs;ual time to to&longs;&longs;e it back again, doth

<pb pagenum="142"/>fail, and the ball runs tripping along the ground, or rebounds le&longs;&longs;e

<pb xlink:href="040/01/160.jpg" pagenum="142"/>fail, and the ball runs tripping along the ground, or rebounds le&longs;&longs;e

<lb/>than u&longs;ual, and breaketh the time of the return. </s><s>Hence it is

<lb/>that you &longs;ee, tho&longs;e who play at ^{*} Stool-ball, when they play in

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<lb/>methodically of an argument, with an intent to publi&longs;h the &longs;ame.

<pb pagenum="143"/>I will not con&longs;ent that our Poem &longs;hould be &longs;o confined to that

<pb xlink:href="040/01/161.jpg" pagenum="143"/>I will not con&longs;ent that our Poem &longs;hould be &longs;o confined to that

<lb/>unity, as not to leave us fields open for Ep&longs;ody's, which every

<lb/>&longs;mall connection &longs;hould &longs;uffice to introduce; but with almo&longs;t as

<lb/>much liberry as if we were met to tell &longs;tories, it &longs;hall be lawful

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<lb/>rating.</s></p>

<pb pagenum="144"/><p type="main"><s>SALV. </s><s>Neither doth this &longs;uffice, but its requi&longs;ite to know ac

<pb xlink:href="040/01/162.jpg" pagenum="144"/><p type="main"><s>SALV. </s><s>Neither doth this &longs;uffice, but its requi&longs;ite to know ac

<lb/>cording to what proportion &longs;uch accelleration is made; a Pro

<lb/>blem, that I believe was never hitherto under&longs;tood by any Phi

<lb/>lo&longs;opher or Mathematician; although Philo&longs;ophers, and particu

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<lb/>ally accelerated, it is nece&longs;&longs;ary, that the line re&longs;ulting of the

<pb pagenum="145"/>compo&longs;ition of the two motions do go alwayes receding with

<pb xlink:href="040/01/163.jpg" pagenum="145"/>compo&longs;ition of the two motions do go alwayes receding with

<lb/>greater and greater proportion from the circumference of that cir

<lb/>cle, which the centre of the &longs;tones gravity would have de&longs;igned,

<lb/>if it had alwayes &longs;taid upon the Tower; it followeth of nece&longs;&longs;ity

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<lb/>with greater and greater proportion receding from the top of the

<pb pagenum="146"/>Tower. </s><s>And this is the cau&longs;e why the right motion made along

<pb xlink:href="040/01/164.jpg" pagenum="146"/>Tower. </s><s>And this is the cau&longs;e why the right motion made along

<lb/>the &longs;ide of the Tower appeareth to us more and more accelerate.

<lb/></s><s>It appeareth al&longs;o, how by rea&longs;on of the infinite acutene&longs;&longs;e of

<lb/>the contact of tho&longs;e two circles D C, C I, the rece&longs;&longs;ion of the

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<lb/>that is, the line C A, being double the Semidiameter C E of the

<pb pagenum="147"/>circle C I, the circumference &longs;hall be double to the circumference,

<pb xlink:href="040/01/165.jpg" pagenum="147"/>circle C I, the circumference &longs;hall be double to the circumference,

<lb/>and every arch of the greater circle double to every like arch of

<lb/>the le&longs;&longs;er; and con&longs;equently, the half of the arch of the greater

<lb/>circle, equal to the whole arch of the le&longs;&longs;e. </s><s>And becau&longs;e the an

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<lb/>objection of the Gun-&longs;hot, and all the other experiments above

<pb pagenum="148"/>alledged. </s><s>For the&longs;e birds which at their plea&longs;ure flie for

<pb xlink:href="040/01/166.jpg" pagenum="148"/>alledged. </s><s>For the&longs;e birds which at their plea&longs;ure flie for

<lb/>wards and backwards, and wind to and again in a thou&longs;and

<lb/>fa&longs;hions, and, which more importeth, lie whole hours upon the

<lb/>wing, the&longs;e I &longs;ay do not a little po&longs;e me, nor do I &longs;ee, how a

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<lb/>the Chariot was in that moment f time when the &longs;haft came to

<pb pagenum="149"/>the ground, as well in the one &longs;hot as in the other: for thus you

<pb xlink:href="040/01/167.jpg" pagenum="149"/>the ground, as well in the one &longs;hot as in the other: for thus you

<lb/>may &longs;ee exactly how much one &longs;haft flew farther than the other.</s></p><p type="margin"><s><margin.target id="marg337"></margin.target>* Bale&longs;trone da bol

<lb/>zoni.</s></p><p type="main"><s>SIMP. </s><s>In my thoughts this experiment is very proper: and I

<lb/>do not doubt but that the flight, that is, the &longs;pace between the

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<lb/><emph type="italics"/>v. </s><s>g.<emph.end type="italics"/> four degrees of velocity, that then in the other &longs;hoot it de

<pb pagenum="150"/>part but with two onely: but if the &longs;ame bow be u&longs;ed, it always

<pb xlink:href="040/01/168.jpg" pagenum="150"/>part but with two onely: but if the &longs;ame bow be u&longs;ed, it always

<lb/>receiveth thence three degrees.</s></p><p type="main"><s>SIMP. </s><s>It doth &longs;o; and for this rea&longs;on, &longs;hooting with the

<lb/>&longs;ame bow in the chariots cour&longs;e, the &longs;hoots cannot be equal.</s></p><p type="main"><s>SALV. </s><s>I had forgot to ask, with what velocity it is &longs;uppo&longs;ed in

<lb/>this particular experiment, that the chariot runneth.</s></p><p type="main"><s>SIMP. </s><s>The velocity of the chariot mu&longs;t be &longs;uppo&longs;ed to be one

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<lb/>&longs;cendeth perpendicularly; but if the Earth do move, the &longs;tone

<pb pagenum="151"/>likewi&longs;e moveth with like velocity, nor doth it depart from re&longs;t,

<pb xlink:href="040/01/169.jpg" pagenum="151"/>likewi&longs;e moveth with like velocity, nor doth it depart from re&longs;t,

<lb/>but from a motion equal to that of the Earth, wherewith it inter

<lb/>mixeth the &longs;upervenient motion of de&longs;cent, and of tho&longs;e two com

<lb/>po&longs;eth a third which is tran&longs;ver&longs;al or &longs;ide-ways.</s></p><p type="margin"><s><margin.target id="marg338"></margin.target><emph type="italics"/>The &longs;olution of

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<lb/>ve&longs;&longs;els motion, the fluctuation of the billows cea&longs;ing, had been

<pb pagenum="152"/>calm and tranquill. </s><s>And if I had continually held that pen in

<pb xlink:href="040/01/170.jpg" pagenum="152"/>calm and tranquill. </s><s>And if I had continually held that pen in

<lb/>my hand, and had onely moved it &longs;ometimes an inch or two this

<lb/>way or that way, what alteration &longs;hould I have made in that its

<lb/>principal, and very long tract or &longs;troke?</s></p><p type="main"><s>SIMP. </s><s>Le&longs;s than that which the declining in &longs;everal places from

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<lb/>not e&longs;&longs;entially or really other, than &longs;mall pieces of one &longs;ole line

<pb pagenum="153"/>drawn all one way, and the &longs;ame without any other alteration &longs;ave

<pb xlink:href="040/01/171.jpg" pagenum="153"/>drawn all one way, and the &longs;ame without any other alteration &longs;ave

<lb/>the declining the direct rectitude, &longs;ometimes a very in&longs;en&longs;ible mat

<lb/>ter towards one &longs;ide or another, and the pens moving its neb one

<lb/>while &longs;ofter, another while &longs;lower, but with very &longs;mall inequality.

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<lb/>ball departs from its re&longs;t, being di&longs;charged by the fire

<pb pagenum="154"/>from the piece; and the departing from the &longs;tate of re&longs;t, cannot

<pb xlink:href="040/01/172.jpg" pagenum="154"/>from the piece; and the departing from the &longs;tate of re&longs;t, cannot

<lb/>be, unle&longs;&longs;e the immobility of the Terre&longs;trial Globe be pre&longs;uppo

<lb/>&longs;ed, which is the conclu&longs;ion of that was in di&longs;pute; Therefore,

<lb/>I reply, that tho&longs;e who make the Earth moveable, an&longs;wer, that

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<lb/>made within the &longs;aid piece; is it not &longs;o?</s></p>

<pb pagenum="155"/><p type="margin"><s><margin.target id="marg345"></margin.target><emph type="italics"/>Projects conti

<pb xlink:href="040/01/173.jpg" pagenum="155"/><p type="margin"><s><margin.target id="marg345"></margin.target><emph type="italics"/>Projects conti

<lb/>nue their motion

<lb/>by the right line

<lb/>that followeth the

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<lb/><emph type="italics"/>Ari&longs;totle<emph.end type="italics"/> and <emph type="italics"/>Tycho<emph.end type="italics"/> will have it, far from the Piece towards the

<pb pagenum="156"/>We&longs;t, nor as you would have it, upon the Piece, but rather far

<pb xlink:href="040/01/174.jpg" pagenum="156"/>We&longs;t, nor as you would have it, upon the Piece, but rather far

<lb/>di&longs;tant towards the Ea&longs;t. </s><s>For according to your explanation, it

<lb/>would have two motions, the which would with one con&longs;ent carry

<lb/>it thitherward, to wit, the common motion of the Earth, which

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<lb/>al&longs;o; there is then al&longs;o need but of little inclination to make the

<pb pagenum="157"/>ball &longs;u&longs;pend it &longs;elf in its range directly over the Piece. </s><s>And in a

<pb xlink:href="040/01/175.jpg" pagenum="157"/>ball &longs;u&longs;pend it &longs;elf in its range directly over the Piece. </s><s>And in a

<lb/>word, if you do but attentively con&longs;ider, you will comprehend,

<lb/>that the motion of the Earth in transferring the Piece along with

<lb/>it from C A to E D, conferreth upon the tran&longs;ver&longs;e line C D, &longs;o

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<lb/>rected to the mark, in ca&longs;e the mark &longs;tands &longs;till, you mu&longs;t al&longs;o hold

<pb pagenum="158"/>your gun &longs;till; and if the mark &longs;hall move, the gun mu&longs;t be kept upon

<pb xlink:href="040/01/176.jpg" pagenum="158"/>your gun &longs;till; and if the mark &longs;hall move, the gun mu&longs;t be kept upon

<lb/>the mark by moving. </s><s>And upon this dependeth the proper an&longs;wer

<lb/>to the other argument taken from the &longs;hot of a Canon, at the

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<lb/>his hitting the mark, as it &longs;hould &longs;eem, moreover and be&longs;ides the

<pb pagenum="159"/>following the birds flight with the piece, is his &longs;omewhat anticipa

<pb xlink:href="040/01/177.jpg" pagenum="159"/>following the birds flight with the piece, is his &longs;omewhat anticipa

<lb/>ting it, taking his aim before it; as al&longs;o his &longs;hooting (as I believe)

<lb/>not with one bullet, but with many &longs;mall balls (called &longs;hot) the

<lb/>which &longs;cattering in the air po&longs;&longs;e&longs;s a great &longs;pace; and al&longs;o the ex

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<lb/>the &longs;udden I think they would reply; which is in effect the &longs;ame

<pb pagenum="160"/>with that which hath been &longs;aid already, namely, that in ca&longs;e the

<pb xlink:href="040/01/178.jpg" pagenum="160"/>with that which hath been &longs;aid already, namely, that in ca&longs;e the

<lb/>Earth &longs;hould move, the &longs;hots made Ea&longs;tward would prove too

<lb/>high, &c. </s><s>the ball, as it is probable, being to move along the tan

<lb/>gent.</s></p><p type="main"><s>SALV. </s><s>But if I &longs;hould &longs;ay, that &longs;o it falleth out upon triall,

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<lb/>hours, the We&longs;tern horizon ri&longs;eth fifteen degrees in an hour, that

<pb pagenum="161"/>is, fifteen fir&longs;t minutes of a degree, in one fir&longs;t minute of an hour;

<pb xlink:href="040/01/179.jpg" pagenum="161"/>is, fifteen fir&longs;t minutes of a degree, in one fir&longs;t minute of an hour;

<lb/>that is, fifteen &longs;econds of a degree, in one &longs;econd of an hour; and

<lb/>becau&longs;e one &longs;econd is the time of the &longs;hot, therefore in this time

<lb/>the We&longs;tern horizon ri&longs;eth fifteen &longs;econds of a degree, and &longs;o

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<lb/>Earth, it mu&longs;t needs be very &longs;mall, it mu&longs;t needs be &longs;wallowed up

<pb pagenum="162"/>in tho&longs;e very great ones which &longs;undry accidents continually pro

<pb xlink:href="040/01/180.jpg" pagenum="162"/>in tho&longs;e very great ones which &longs;undry accidents continually pro

<lb/>duce. </s><s>And all this hath been &longs;poken and granted on good grounds

<lb/>to <emph type="italics"/>Simplicius,<emph.end type="italics"/> and only with an intent to adverti&longs;e him how much

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<lb/>which they flie, which naturally following the <emph type="italics"/>Vertigo<emph.end type="italics"/> of the

<pb pagenum="163"/>Earth, like as it carrieth the clouds along with it, &longs;o it tran&longs;porteth

<pb xlink:href="040/01/181.jpg" pagenum="163"/>Earth, like as it carrieth the clouds along with it, &longs;o it tran&longs;porteth

<lb/>birds and every thing el&longs;e which is pendent in the &longs;ame; in &longs;o much

<lb/>that as to the bu&longs;ine&longs;&longs;e of keeping pace with the Earth, the birds

<lb/>need take no care thereof, but for that work might &longs;leep perpe

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<lb/>quite contrary to truth; for the truth is, that the water, by rea

<pb pagenum="164"/>&longs;on of its great re&longs;i&longs;tance to the divi&longs;ion made by the hull of the

<pb xlink:href="040/01/182.jpg" pagenum="164"/>&longs;on of its great re&longs;i&longs;tance to the divi&longs;ion made by the hull of the

<lb/>&longs;hip, doth with great noi&longs;e re&longs;i&longs;t the &longs;ame; nor doth it permit it

<lb/>of a great while to acquire that velocity which the wind would

<lb/>confer upon it, were the ob&longs;tacle of the water removed. </s><s>Per

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<lb/>gain&longs;t the primary motion in-bred in terrene bodies: like as for

<pb pagenum="165"/>example, we &longs;ee them whil'&longs;t they are alive to fly upwards, a thing

<pb xlink:href="040/01/183.jpg" pagenum="165"/>example, we &longs;ee them whil'&longs;t they are alive to fly upwards, a thing

<lb/>altogether impo&longs;&longs;ible for them to do as they are grave bodies;

<lb/>whereas being dead they can onely fall downwards; and there

<lb/>fore you hold that the rea&longs;ons that are of force in all the kinds of

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<lb/>and leaping, as the &longs;aying is, with your feet clo&longs;ed, you will reach

<pb pagenum="166"/>as far one way as another. </s><s>Having ob&longs;erved all the&longs;e particulars,

<pb xlink:href="040/01/184.jpg" pagenum="166"/>as far one way as another. </s><s>Having ob&longs;erved all the&longs;e particulars,

<lb/>though no man doubteth that &longs;o long as the ve&longs;&longs;el &longs;tands &longs;till, they

<lb/>ought to &longs;ucceed in this manner; make the Ship to move with

<lb/>what velocity you plea&longs;e; for (&longs;o long as the motion is uniforme,

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<lb/>&longs;ometimes to another part of the body, but in the falling drops

<pb pagenum="167"/>the difference would be very &longs;mall; and in the &longs;alts, and projecti

<pb xlink:href="040/01/185.jpg" pagenum="167"/>the difference would be very &longs;mall; and in the &longs;alts, and projecti

<lb/>ons of grave bodies altogether imperceptible.</s></p><p type="margin"><s><margin.target id="marg358"></margin.target><emph type="italics"/>The an&longs;wer to

<lb/>the argument ta

<lb/>ken from the flight

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<lb/>till the time of <emph type="italics"/>Pythagoras,<emph.end type="italics"/> did affirm it to have been but then

<pb pagenum="168"/>made moveable, when the &longs;aid <emph type="italics"/>Pythagoras<emph.end type="italics"/> a&longs;cribed unto it mo

<pb xlink:href="040/01/186.jpg" pagenum="168"/>made moveable, when the &longs;aid <emph type="italics"/>Pythagoras<emph.end type="italics"/> a&longs;cribed unto it mo

<lb/>tion.</s></p><p type="main"><s>SALV. </s><s>We can think no other, if we do but con&longs;ider the way

<lb/>he taketh to confute their a&longs;&longs;ertion; the confutation of which

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<lb/>of moving, and receding to a di&longs;tance from that centre, even

<pb pagenum="169"/>then when they are in a &longs;tate of having a propen&longs;ion of moving

<pb xlink:href="040/01/187.jpg" pagenum="169"/>then when they are in a &longs;tate of having a propen&longs;ion of moving

<lb/>naturally to the &longs;ame. </s><s>Tie a bottle that hath water in it, to

<lb/>the end of a cord, and holding the other end fa&longs;t in your hand,

<lb/>and making the cord and your arm the &longs;emi-diameter, and the

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<lb/>nion is touching the attainment of knowledg, when a time &longs;hall

<pb pagenum="170"/>offer upon &longs;ome other day: but I would not have <emph type="italics"/>Sagredus<emph.end type="italics"/> of

<pb xlink:href="040/01/188.jpg" pagenum="170"/>offer upon &longs;ome other day: but I would not have <emph type="italics"/>Sagredus<emph.end type="italics"/> of

<lb/>fended at this digre&longs;&longs;ion.</s></p><p type="main"><s>SAGR. </s><s>I am rather very much plea&longs;ed with it, for that I re

<lb/>member that when I &longs;tudied Logick, I could never comprehend that

<lb/>&longs;o much cry'd up and mo&longs;t potent demon&longs;tration of <emph type="italics"/>Ari&longs;totle.<emph.end type="italics"/></s></p><p type="main"><s>SALV. </s><s>Let us go on therefore; and let <emph type="italics"/>Simplicius,<emph.end type="italics"/> tell me

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<lb/>where the circular motion determineth. </s><s>I know what I would

<pb pagenum="171"/>&longs;ay, but do not well know how to expre&longs;s my &longs;elf.</s></p><p type="main"><s>SALV. </s><s>And I al&longs;o perceive that you under&longs;tand the bu&longs;ine&longs;s,

<pb xlink:href="040/01/189.jpg" pagenum="171"/>&longs;ay, but do not well know how to expre&longs;s my &longs;elf.</s></p><p type="main"><s>SALV. </s><s>And I al&longs;o perceive that you under&longs;tand the bu&longs;ine&longs;s,

<lb/>but that you have not the proper terms, wherewith to expre&longs;s the

<lb/>&longs;ame. </s><s>Now the&longs;e I can ea&longs;ily teach you; teach you, that is, as

<lb/>to the words, but not as to the truths, which are things. </s><s>And that

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<lb/>from them.</s></p><p type="main"><s>SIMP. </s><s>I think I am not &longs;o forgetful, but that I do remember

<lb/>them. </s><s>From the things premi&longs;ed I gather that the project &longs;wiftly

<lb/>&longs;winged round by the projicient, in its &longs;eparating from it, doth re

<lb/>tain an <emph type="italics"/>impetus<emph.end type="italics"/> of continuing its motion by the right line, which

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<lb/>would be three or four times as far di&longs;tant from the circumference

<pb pagenum="173"/>of the circle, as a point that was di&longs;tant from the contaction one

<pb xlink:href="040/01/191.jpg" pagenum="173"/>of the circle, as a point that was di&longs;tant from the contaction one

<lb/>palm, and the point that was di&longs;tant half a palm, I likewi&longs;e believe

<lb/>would &longs;car&longs;e recede the fourth part of the di&longs;tance of the &longs;econd:

<lb/>fo that within an inch or two of the contact, the &longs;eparation of the

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<lb/>the Earth?</s></p>

<pb pagenum="174"/><p type="main"><s>SIMP. </s><s>I &longs;aid &longs;o, and al&longs;o confe&longs;&longs;e the re&longs;t: and do now plainly

<pb xlink:href="040/01/192.jpg" pagenum="174"/><p type="main"><s>SIMP. </s><s>I &longs;aid &longs;o, and al&longs;o confe&longs;&longs;e the re&longs;t: and do now plainly

<lb/>under&longs;tand that the &longs;tone will not &longs;eparate from the Earth, for

<lb/>that its rece&longs;&longs;ion in the beginning would be &longs;uch, and &longs;o &longs;mall,

<lb/>that it is a thou&longs;and times exceeded by the inclination which the

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<lb/>of the projicient, to make that it may prevail over that inclina

<pb pagenum="175"/>tion, from which en&longs;ueth the &longs;eparation and elongation of the

<pb xlink:href="040/01/193.jpg" pagenum="175"/>tion, from which en&longs;ueth the &longs;eparation and elongation of the

<lb/>pen from the Earth?</s></p><p type="main"><s>SIMP. </s><s>I cannot tell.</s></p><p type="main"><s>SALV. How, do you not know that? </s><s>The moveable is here

<lb/>the &longs;ame, that is, the &longs;ame pen; now how can the &longs;ame moveable

<lb/>&longs;uperate and exceed it &longs;elf in motion?</s></p><p type="main"><s>SIMP. </s><s>I do not &longs;ee how it can overcome or yield to it &longs;elf in

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<lb/>not to give the pen time to return to the &longs;urface of the Earth?</s></p><p type="main"><s>SALV. </s><s>Try whether you can &longs;tate the ca&longs;e in proper termes,

<pb pagenum="176"/>and I will give you an an&longs;wer. </s><s>Tell me therefore, how much do

<pb xlink:href="040/01/194.jpg" pagenum="176"/>and I will give you an an&longs;wer. </s><s>Tell me therefore, how much do

<lb/>you think &longs;ufficeth to make that motion &longs;wifter than this?</s></p><p type="main"><s>SIMP. </s><s>I will &longs;ay for example, that if that motion by the tan

<lb/>gent were a million of times &longs;wifter than this by the &longs;ecant, the

<lb/>pen, yea, and the &longs;tone al&longs;o would come to be extruded.</s></p><p type="main"><s>SALV. </s><s>You &longs;ay &longs;o, and &longs;ay that which is fal&longs;e, onely for

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<lb/>true on the contrary, that the propen&longs;ion of the moveable to

<pb pagenum="177"/>de&longs;cending groweth le&longs;s & le&longs;s in it, the nearer it is to the fir&longs;t term

<pb xlink:href="040/01/195.jpg" pagenum="177"/>de&longs;cending groweth le&longs;s & le&longs;s in it, the nearer it is to the fir&longs;t term

<lb/>of its de&longs;cent; that is, to the &longs;tate of re&longs;t; as is manife&longs;t from that

<lb/>which you declare unto us, demon&longs;trating that the de&longs;cending grave

<lb/>body departing from re&longs;t, ought to pa&longs;&longs;e thorow all the degrees of

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<lb/>this retreat towards A, repre&longs;enteth the fir&longs;t propen&longs;ion to the

<pb pagenum="178"/>motion of de&longs;cent, dimini&longs;hed <emph type="italics"/>in infinitum<emph.end type="italics"/> by the approach of

<pb xlink:href="040/01/196.jpg" pagenum="178"/>motion of de&longs;cent, dimini&longs;hed <emph type="italics"/>in infinitum<emph.end type="italics"/> by the approach of

<lb/>the moveable to the fir&longs;t &longs;tate of re&longs;t, which approximation is

<lb/>augmentable <emph type="italics"/>in infinitum.<emph.end type="italics"/> Now let us find the other diminution

<lb/>of velocity, which likewi&longs;e may proceed to infinity, by the di

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<lb/>proxination to the fir&longs;t term of the motion, that is, to the &longs;tate

<pb pagenum="179"/>of re&longs;t, are alwayes determinate, and an&longs;wer in proportion to the

<pb xlink:href="040/01/197.jpg" pagenum="179"/>of re&longs;t, are alwayes determinate, and an&longs;wer in proportion to the

<lb/>parallels comprehended between two right lines that concur in

<lb/>an angle, like to the angle B A E, or B A D, or any other

<lb/>infinitely more acute, alwayes provided it be rectilineall

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<lb/>parallels alwayes retain the &longs;ame proportion to each other, &c.

<pb pagenum="180"/>but that the diminution of the &longs;ame velocity, dependent on the

<pb xlink:href="040/01/198.jpg" pagenum="180"/>but that the diminution of the &longs;ame velocity, dependent on the

<lb/>diminution of the gravity of the moveable (which vvas the &longs;econd

<lb/>cau&longs;e) doth al&longs;o ob&longs;erve the &longs;ame proportion, doth not &longs;o plainly

<lb/>appear, And vvho &longs;hall a&longs;&longs;ure us that it doth not proceed accor

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<lb/>and therefore let the propen&longs;ion to the motion of de&longs;cent be ne

<pb pagenum="181"/>ver &longs;o &longs;mall, yet is it alwayes more than &longs;ufficient to reconduct the

<pb xlink:href="040/01/199.jpg" pagenum="181"/>ver &longs;o &longs;mall, yet is it alwayes more than &longs;ufficient to reconduct the

<lb/>moveable to the circumference, from which it is di&longs;tant but its lea&longs;t

<lb/>&longs;pace, that is, nothing at all.</s></p><p type="main"><s>SAGR. </s><s>Your di&longs;cour&longs;e, I mu&longs;t confe&longs;s, is very accurate; and

<lb/>yet no le&longs;s concluding than it is ingenuous; and it mu&longs;t be gran

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<lb/>conver&longs;ant in <emph type="italics"/>Geometry,<emph.end type="italics"/> might make you a little more intelligent

<pb pagenum="182"/>among&longs;t tho&longs;e who know nothing thereof. </s><s>Now to &longs;hew you how

<pb xlink:href="040/01/200.jpg" pagenum="182"/>among&longs;t tho&longs;e who know nothing thereof. </s><s>Now to &longs;hew you how

<lb/>great their errour is who &longs;ay, that a Sphere <emph type="italics"/>v.g.<emph.end type="italics"/> of bra&longs;&longs;e, doth not

<lb/>touch a plain <emph type="italics"/>v.g.<emph.end type="italics"/> of &longs;teel in one &longs;ole point, Tell me what con

<lb/>ceipt you would entertain of one that &longs;hould con&longs;tantly aver, that

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<lb/>are longer than the &longs;ole line A B, for &longs;o demon&longs;trateth <emph type="italics"/>Euelid.<emph.end type="italics"/>

<pb pagenum="183"/>But the curve-line A C B, is greater than the two right-lines A C,

<pb xlink:href="040/01/201.jpg" pagenum="183"/>But the curve-line A C B, is greater than the two right-lines A C,

<lb/>and C B; therefore, <emph type="italics"/>à fortiori,<emph.end type="italics"/> the curve-line A C B, is much

<lb/>greater than the right line A B, which was to be demon&longs;trated.

<lb/><arrow.to.target n="marg372"></arrow.to.target></s></p><p type="margin"><s><margin.target id="marg371"></margin.target><emph type="italics"/>The demon&longs;tra

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<lb/>pa&longs;&longs;eth through the contact. </s><s>It pa&longs;&longs;eth thorow the point C, and

<pb pagenum="184"/>another point in the contact being taken as D, conjoyn the two

<pb xlink:href="040/01/202.jpg" pagenum="184"/>another point in the contact being taken as D, conjoyn the two

<lb/>right lines A D and B D, &longs;o as that they make the triangle A D B;

<lb/>of which the two &longs;ides A D and D B &longs;hall be equal to the other one

<lb/>A C B, both tho&longs;e and this containing two &longs;emidiameters, which

Line 9915

<lb/>plane which ought to be perfectly level, do not prove to be the

<pb pagenum="185"/>&longs;ame in concrete, as they are imagined to be in ab&longs;tract?</s></p><p type="main"><s>SIMP. </s><s>This I do affirm.</s></p><p type="main"><s>SALV. </s><s>Then when ever in concrete you do apply a material Sphere </s></p><p type="main"><s><arrow.to.target n="marg375"></arrow.to.target>

<pb xlink:href="040/01/203.jpg" pagenum="185"/>&longs;ame in concrete, as they are imagined to be in ab&longs;tract?</s></p><p type="main"><s>SIMP. </s><s>This I do affirm.</s></p><p type="main"><s>SALV. </s><s>Then when ever in concrete you do apply a material Sphere </s></p><p type="main"><s><arrow.to.target n="marg375"></arrow.to.target>

<lb/>to a material plane, youapply an imperfect Sphere to an imperfect

<lb/>plane, & the&longs;e you &longs;ay do not touch only in one point. </s><s>But I mu&longs;t

<lb/>tell you, that even in ab&longs;tract an immaterial Sphere, that is, not a

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<lb/>ca&longs;uall latitude are infinite.</s></p>

<pb pagenum="186"/><p type="margin"><s><margin.target id="marg376"></margin.target><emph type="italics"/>Contact in a &longs;in

<pb xlink:href="040/01/204.jpg" pagenum="186"/><p type="margin"><s><margin.target id="marg376"></margin.target><emph type="italics"/>Contact in a &longs;in

<lb/>gle point is not pe

<lb/>culiar to the per

<lb/>fect Spheres onely?

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<lb/>yet more worthy of our con&longs;ideration is, that within the &longs;elf-&longs;ame

<pb pagenum="187"/>incavity one may form Spheres of &longs;everal magnitudes. </s><s>But what

<pb xlink:href="040/01/205.jpg" pagenum="187"/>incavity one may form Spheres of &longs;everal magnitudes. </s><s>But what

<lb/>is required to the making of an Hor&longs;e, or (as you &longs;ay) of a Gra&longs;s

<lb/>hopper, I leave to you to judge, who know that there are but few

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<lb/><emph type="italics"/>Annual Motion.<emph.end type="italics"/></s></p>

<pb pagenum="188"/><p type="margin"><s><margin.target id="marg383"></margin.target><emph type="italics"/>The con&longs;titution

<pb xlink:href="040/01/206.jpg" pagenum="188"/><p type="margin"><s><margin.target id="marg383"></margin.target><emph type="italics"/>The con&longs;titution

<lb/>of the Univer&longs;e is

<lb/>one of the mo&longs;t no

<lb/>ble Problems.<emph.end type="italics"/></s></p><p type="main"><s>SAGR. </s><s>I would not have you, <emph type="italics"/>Salviatus,<emph.end type="italics"/> mea&longs;ure our wits by

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<lb/>as that the conver&longs;ion taking up the &longs;ame time in the le&longs;&longs;er wheel,

<pb pagenum="189"/>as in the greater, the velocity is greater onely in the bigger wheel,

<pb xlink:href="040/01/207.jpg" pagenum="189"/>as in the greater, the velocity is greater onely in the bigger wheel,

<lb/>for that its circumference is bigger; there is no man that thinketh

<lb/>that the cau&longs;e of the extru&longs;ion in the great wheel will encrea&longs;e ac

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<lb/>that which carrieth the &longs;tones with velocity, &longs;hall meet with a

<pb pagenum="190"/>check that is immoveable, they &longs;hall fly out with great impetuo

<pb xlink:href="040/01/208.jpg" pagenum="190"/>check that is immoveable, they &longs;hall fly out with great impetuo

<lb/>&longs;ity: the &longs;ame effect following in that ca&longs;e, which we &longs;ee dayly

<lb/>to fall out in a boat that running a &longs;wift cour&longs;e, runs a-ground, or

<lb/>meets with &longs;ome &longs;udden &longs;top, for all tho&longs;e in the boat, being &longs;ur

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<lb/>there be not in the moveable, be&longs;ides the natural inclination to the

<pb pagenum="191"/>contrary term, another intrin&longs;ick and natural quality, which ma

<pb xlink:href="040/01/209.jpg" pagenum="191"/>contrary term, another intrin&longs;ick and natural quality, which ma

<lb/>keth it aver&longs;e to motion. </s><s>Therefore tell me again; do you not

<lb/>think that the inclination <emph type="italics"/>v. </s><s>g.<emph.end type="italics"/> of grave bodies to move down

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<lb/>more grave and le&longs;s &longs;wift.

<pb pagenum="192"/><arrow.to.target n="marg388"></arrow.to.target></s></p><p type="margin"><s><margin.target id="marg388"></margin.target><emph type="italics"/>The greater velo

<pb xlink:href="040/01/210.jpg" pagenum="192"/><arrow.to.target n="marg388"></arrow.to.target></s></p><p type="margin"><s><margin.target id="marg388"></margin.target><emph type="italics"/>The greater velo

<lb/>city exactly com

<lb/>pen&longs;ates thegreater

<lb/>gravity.<emph.end type="italics"/></s></p><p type="main"><s>SAGR. </s><s>But do you think that the velocity doth fully make

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<lb/>B G and C E: and let the two wheels be &longs;uppo&longs;ed to be turn'd

<pb pagenum="193"/>round upon their centres with equal velocities, &longs;o as that two mo

<pb xlink:href="040/01/211.jpg" pagenum="193"/>round upon their centres with equal velocities, &longs;o as that two mo

<lb/>veables, which &longs;uppo&longs;e for example to be two &longs;tones placed in the

<lb/>points B and C, come to be carried along the circumferences B G

<lb/>and C E, with equal velocities; &longs;o that in the &longs;ame time that the

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<lb/>ther D E; and therefore much greater force will be required for

<pb pagenum="194"/>holding fa&longs;t the &longs;tone B to its little wheel, than for the holding

<pb xlink:href="040/01/212.jpg" pagenum="194"/>holding fa&longs;t the &longs;tone B to its little wheel, than for the holding

<lb/>the &longs;tone C to its great one, which is as much as to &longs;ay, that &longs;uch

<lb/>a &longs;mall thing will impede the extru&longs;ion in the great wheel, as will

<lb/>not at all hinder it in the little one. </s><s>It is manife&longs;t therefore that

Line 10426

<lb/>brought again&longs;t this <emph type="italics"/>Diurnal Revolution<emph.end type="italics"/> of the Earth taken from

<pb pagenum="195"/>grave bodies falling from the top of a Tower, and from proje

<pb xlink:href="040/01/213.jpg" pagenum="195"/>grave bodies falling from the top of a Tower, and from proje

<lb/>ctions made perpendicularly upwards, or according to any inclina

<lb/>tion &longs;idewayes towards the Ea&longs;t, We&longs;t, North, South, &c. </s><s>have

<lb/>&longs;omewhat abated in me the antiquated incredulity I had conceived

Line 10477

<lb/>grave bodies naturally move. </s><s>Now if by the ab&longs;olute Divine

<pb pagenum="196"/>Power, or by &longs;ome Angel, a very great Cannon bullet were carri

<pb xlink:href="040/01/214.jpg" pagenum="196"/>Power, or by &longs;ome Angel, a very great Cannon bullet were carri

<lb/>ed up thither, and placed in our Zenith or vertical point, and from

<lb/>thence let go at liberty, it is in his, and al&longs;o in my opinion, a mo&longs;t

<lb/>incredible thing that it, in de&longs;cending downwards, &longs;hould all the

Line 10534

<pb pagenum="197"/><p type="main"><s>SALV. </s><s>It is not enough, <emph type="italics"/>Sagredus,<emph.end type="italics"/> that the &longs;ubjects be noble

<pb xlink:href="040/01/215.jpg" pagenum="197"/><p type="main"><s>SALV. </s><s>It is not enough, <emph type="italics"/>Sagredus,<emph.end type="italics"/> that the &longs;ubjects be noble

<lb/>and great, but the bu&longs;ine&longs;&longs;e con&longs;i&longs;ts in handling it nobly. </s><s>And

<lb/>who knoweth not, that in the di&longs;&longs;ection of the members of

<lb/>a bea&longs;t, there may be di&longs;covered infinite wonders of provident

Line 10582

<lb/>would not lay it upon him unde&longs;ervedly, for it's po&longs;&longs;ible that I

<pb pagenum="198"/>may have erred in rehear&longs;ing his Argument, and to avoid running

<pb xlink:href="040/01/216.jpg" pagenum="198"/>may have erred in rehear&longs;ing his Argument, and to avoid running

<lb/>into the &longs;ame mi&longs;takes for the future, I could wi&longs;h I had his

<lb/>Book; and if you had any body to &longs;end for it, I would take it

<lb/>for a great favour.</s></p><p type="main"><s>SAGR. </s><s>You &longs;hall not want a Lacquey that will runne for it

Line 10649

<lb/>up touching a &longs;ubject, upon which have been written hundreds of

<pb pagenum="199"/>Volumes; and yet not &longs;o much as one of the infinite admirable

<pb xlink:href="040/01/217.jpg" pagenum="199"/>Volumes; and yet not &longs;o much as one of the infinite admirable

<lb/>conclu&longs;ions that tho&longs;e his writings contain, hath ever been ob

<lb/>&longs;erved, or under&longs;tood by any one, before <emph type="italics"/>Our Friend<emph.end type="italics"/> made

<lb/>them out.</s></p><p type="margin"><s><margin.target id="marg399"></margin.target><emph type="italics"/>An intire and

Line 10693

<lb/>bring your fancy, if you can, to imagine, that you &longs;ee the great

<pb pagenum="200"/>ball got to the ground, when the little one is &longs;till within le&longs;s than

<pb xlink:href="040/01/218.jpg" pagenum="200"/>ball got to the ground, when the little one is &longs;till within le&longs;s than

<lb/>a yard of the top of the Tower.</s></p><p type="margin"><s><margin.target id="marg400"></margin.target><emph type="italics"/>The error of<emph.end type="italics"/> Ari

<lb/>&longs;totle <emph type="italics"/>in affirming,

<lb/>falling grave bo

Line 10761

<lb/>100 yards are pa&longs;&longs;ed in 5 &longs;econds; in how many &longs;econds &longs;hall

<pb pagenum="201"/>588000000 yards (for &longs;o many are in 56 diameters of the Earth)

<pb xlink:href="040/01/219.jpg" pagenum="201"/>588000000 yards (for &longs;o many are in 56 diameters of the Earth)

<lb/>be pa&longs;&longs;ed? </s><s>The rule for this work is, that the third number mu&longs;t

<lb/>be multiplied by the &longs;quare of the &longs;econd, of which doth come

<lb/>14700000000, which ought to be divided by the fir&longs;t, that is, by

Line 10771

<lb/>rea&longs;on for &longs;o working, nor do I now think it a time to ask it.</s></p><p type="main"><s>SALV. </s><s>Yet I will give it, though you do not ask it, becau&longs;e it

<lb/>is very ea&longs;ie. </s><s>Let us mark the&longs;e three numbers with the Letters

<lb/>A fir&longs;t, B &longs;econd, C

<lb/>third. </s><s>A and C are the

<lb/>numbers of the &longs;paces,

<lb/>B is the number of the

Line 10805

<lb/>&longs;cend with a velocity equal to the velocity wherewith it would

<pb pagenum="202"/>turn round, &longs;taying there above, and moving along with the di

<pb xlink:href="040/01/220.jpg" pagenum="202"/>turn round, &longs;taying there above, and moving along with the di

<lb/>urnal conver&longs;ion. </s><s>Now I tell him, that that &longs;ame ball falling from

<lb/>the concave unto the centre, will acquire a degree of velocity

<lb/>much more than double the velocity of the diurnal motion of the

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<lb/></s><s>A bullet of lead hanging in a long and fine thread fa&longs;tened to the

<pb pagenum="203"/>roof, if we remove it far from perpendicularity, and then let it go,

<pb xlink:href="040/01/221.jpg" pagenum="203"/>roof, if we remove it far from perpendicularity, and then let it go,

<lb/>have you not ob&longs;erved that, it declining, will pa&longs;s freely, and well

<lb/>near as far to the other &longs;ide of the perpendicular?</s></p><p type="main"><s>SAGR. </s><s>I have ob&longs;erved it very well, and find (e&longs;pecially if the

<lb/>plummet be of any con&longs;iderable weight) that it ri&longs;eth &longs;o little le&longs;s

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<lb/>able by dimini&longs;hing that its greate&longs;t degree of velocity which it

<pb pagenum="204"/>had in the centre, &longs;ucce&longs;&longs;ively until it come to total extinction,

<pb xlink:href="040/01/222.jpg" pagenum="204"/>had in the centre, &longs;ucce&longs;&longs;ively until it come to total extinction,

<lb/>do carry the moveable in &longs;uch a time &longs;uch a certain &longs;pace, as it had

<lb/>gone in &longs;uch a like quantity of time, by the acqui&longs;t of velocity

<lb/>from the total privation of it until it came to that its greate&longs;t degree;

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<lb/>a Triangle, which let be this A B C, [<emph type="italics"/>in Fig.<emph.end type="italics"/> 8.] taking in the

<pb pagenum="205"/>&longs;ide A C, as many equal parts as we plea&longs;e, A D, D E, E F, F G,

<pb xlink:href="040/01/223.jpg" pagenum="205"/>&longs;ide A C, as many equal parts as we plea&longs;e, A D, D E, E F, F G,

<lb/>and drawing by the points D, E, F, G, right lines parallel to the ba&longs;e

<lb/>B C. </s><s>Now let us imagine the parts marked in the line A C, to be

<lb/>equal times, and let the parallels drawn by the points D, E, F, G,

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<lb/>angle: and therefore if the moveable, that falling did make u&longs;e

<pb pagenum="206"/>of the accelerated degrees of velocity, an&longs;wering to the triangle

<pb xlink:href="040/01/224.jpg" pagenum="206"/>of the accelerated degrees of velocity, an&longs;wering to the triangle

<lb/>A B C, hath pa&longs;&longs;ed in &longs;uch a time &longs;uch a &longs;pace, it is very rea&longs;onable

<lb/>and probable, that making u&longs;e of the uniform velocities an&longs;wering

<lb/>to the parallelogram, it &longs;hall pa&longs;&longs;e with an even motion in the

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<lb/>lum<emph.end type="italics"/> fa&longs;tned neerer and neerer to the point A, and therefore di&longs;po

<pb pagenum="207"/>&longs;ed to make its vibrations &longs;ucce&longs;&longs;ively more and more frequent;

<pb xlink:href="040/01/225.jpg" pagenum="207"/>&longs;ed to make its vibrations &longs;ucce&longs;&longs;ively more and more frequent;

<lb/>and con&longs;equently is able to bring a continual impediment to the

<lb/>plummet C; and for a proof that this is &longs;o, if we do but ob&longs;erve

<lb/>the thread A C, we &longs;hall &longs;ee it di&longs;tended not directly, but in an

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<lb/>ing light bodies, and birds that fly too and again in the air, &c.</s></p><p type="main"><s>SAGR. </s><s>Let us &longs;ee them, I pray you. </s><s>Oh! what fine figures,

<pb pagenum="208"/>what birds, what balls, and what other pretty things are here?</s></p><p type="main"><s>SIMP. </s><s>The&longs;e are balls which come from the concave of the

<pb xlink:href="040/01/226.jpg" pagenum="208"/>what birds, what balls, and what other pretty things are here?</s></p><p type="main"><s>SIMP. </s><s>The&longs;e are balls which come from the concave of the

<lb/>Moon.</s></p><p type="main"><s>SAGR. </s><s>And what is this?</s></p><p type="main"><s>SIMP. </s><s>This is a kind of Shell-fi&longs;h, which here at <emph type="italics"/>Venice<emph.end type="italics"/> they

<lb/>call <emph type="italics"/>buovoli<emph.end type="italics"/>; and this al&longs;o came from the Moons concave.</s></p><p type="main"><s>SAGR. Indeed, it &longs;eems then, that the Moon hath a great pow

Line 11167

<lb/>in ab&longs;tract, although &longs;uch bottomes be things meerly material,

<pb pagenum="209"/>and concrete: therefore let <emph type="italics"/>Simplicius<emph.end type="italics"/> plead in excu&longs;e of this

<pb xlink:href="040/01/227.jpg" pagenum="209"/>and concrete: therefore let <emph type="italics"/>Simplicius<emph.end type="italics"/> plead in excu&longs;e of this

<lb/>Author; and whether he chinks that the Phy&longs;icks can differ &longs;o

<lb/>very much from the Mathematicks.</s></p><p type="main"><s>SIMP. </s><s>The &longs;ub&longs;tractions are in my opinion in&longs;ufficient to &longs;alve

<lb/>this difference, which is &longs;o extreamly too great to be reconciled:

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<lb/>outward.</s></p><p type="main"><s>SALV. </s><s>And I will &longs;ay then, that the ball in the concave did

<pb pagenum="210"/>not move, and &longs;o he &longs;hall not be bound to &longs;hew how that in de&longs;

<pb xlink:href="040/01/228.jpg" pagenum="210"/>not move, and &longs;o he &longs;hall not be bound to &longs;hew how that in de&longs;

<lb/>cending it continueth all the way vertically over one point, for

<lb/>that it will not do any &longs;uch thing.</s></p><p type="main"><s>SIMP. </s><s>Very well; But if grave bodies, and light can have no

<lb/>principle, either internal or external of moving circularly, than

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<lb/>is, by which the Earth de&longs;cendeth; yet I know that it is an intern

<pb pagenum="211"/>principle, &longs;eeing that if it be not hindered, it moveth &longs;pontane

<pb xlink:href="040/01/229.jpg" pagenum="211"/>principle, &longs;eeing that if it be not hindered, it moveth &longs;pontane

<lb/>ou&longs;ly: and on the contrary, I know that the principle which mo

<lb/>veth it upwards, is external, although that I do not know, what

<lb/>thing that vertue is, impre&longs;&longs;ed on it by the projicient.</s></p><p type="main"><s>SALV. </s><s>Into how many que&longs;tions mu&longs;t we excurre, if we would

Line 11311

<lb/>ciple, is it not &longs;o?</s></p><p type="main"><s>SIMP. </s><s>So I verily believe.</s></p><p type="main"><s>SALV. </s><s>But when it is arrived at the centre, do you think that

<pb pagenum="212"/>it will pa&longs;&longs;e any further, or el&longs;e that there it would immediately

<pb xlink:href="040/01/230.jpg" pagenum="212"/>it will pa&longs;&longs;e any further, or el&longs;e that there it would immediately

<lb/>&longs;tand &longs;till, and move no further?</s></p><p type="main"><s>SIMP. </s><s>I believe that it would continue to move a great way

<lb/>further.</s></p><p type="main"><s>SALV. </s><s>But this motion beyond the centre, would it not be up

<lb/>wards, and according to your a&longs;&longs;ertion preternatural, and violent?

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<lb/>on the contrary-----.</s></p><p type="main"><s>SALV. </s><s>Trouble not your &longs;elf to read his argument; for I am

<pb pagenum="213"/>none of tho&longs;e who a&longs;cribe that principle to the ambient air. </s><s>As

<pb xlink:href="040/01/231.jpg" pagenum="213"/>none of tho&longs;e who a&longs;cribe that principle to the ambient air. </s><s>As

<lb/>to the Miracle, or an Angel, I &longs;hould rather incline to this &longs;ide; for

<lb/>that which taketh beginning from a Divine Miracle, or from an

<lb/>Angelical operation; as for in&longs;tance, the tran&longs;portation of a Can

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<lb/>quale nam illud? </s><s>nam qualitas locomotiva circum, hactenus nulla<emph.end type="italics"/>

<pb pagenum="214"/><emph type="italics"/>videtur agnita. (In Engli&longs;h thus:)<emph.end type="italics"/> Contrary to which po&longs;ition

<pb xlink:href="040/01/232.jpg" pagenum="214"/><emph type="italics"/>videtur agnita. (In Engli&longs;h thus:)<emph.end type="italics"/> Contrary to which po&longs;ition

<lb/>there do ari&longs;e mo&longs;t difficult, yea inextricable &longs;econd que&longs;tions,

<lb/>&longs;uch as the&longs;e; That intern principle is either an accident, or a

<lb/>&longs;ub&longs;tance. </s><s>If the fir&longs;t; what manner of accident is it? </s><s>For a

Line 11448

<lb/>partake of the qualities which &longs;uit with things alive.</s></p><p type="main"><s>SALV. </s><s>Therefore the di&longs;cour&longs;e of this Author concludeth

<pb pagenum="215"/>nothing again&longs;t one that &longs;hould affirm, that the principle of the cir

<pb xlink:href="040/01/233.jpg" pagenum="215"/>nothing again&longs;t one that &longs;hould affirm, that the principle of the cir

<lb/>cular motions of grave and light bodies is an intern accident: I

<lb/>know not how he may prove, that it cannot be a &longs;ub&longs;tance.</s></p><p type="main"><s>SIMP. </s><s>He brings many Arguments again&longs;t this. </s><s>The fir&longs;t of

<lb/>which is in the&longs;e words: <emph type="italics"/>Si &longs;ecundum (nempè, &longs;i dieas tale princi

Line 11490

<lb/>ver the &longs;nail and rock, though flying.</s></p>

<pb pagenum="216"/><p type="main"><s>SALV. </s><s>I would an&longs;wer for my &longs;elf in general terms, that if

<pb xlink:href="040/01/234.jpg" pagenum="216"/><p type="main"><s>SALV. </s><s>I would an&longs;wer for my &longs;elf in general terms, that if

<lb/>it were appointed by the will of God, that the Earth &longs;hould cea&longs;e

<lb/>from its diurnal revolution, tho&longs;e birds would do what ever &longs;hould

<lb/>plea&longs;e the &longs;ame Divine will. </s><s>But if this Author de&longs;ire a more

Line 11531

<lb/>the parts nearer at hand de&longs;cribe le&longs;&longs;er in the &longs;ame time.</s></p><p type="main"><s>SIMP. <emph type="italics"/>Quare, quæ Æquinoctiali propriores, in majori; quæ<emph.end type="italics"/>

<pb pagenum="217"/><emph type="italics"/>remotiores, in minori circulo feruntur? [&longs;cilicet:]<emph.end type="italics"/> Why are

<pb xlink:href="040/01/235.jpg" pagenum="217"/><emph type="italics"/>remotiores, in minori circulo feruntur? [&longs;cilicet:]<emph.end type="italics"/> Why are

<lb/>tho&longs;e near the Æquinoctial carried about in a greater circle, and

<lb/>tho&longs;e which are remote in a le&longs;&longs;er?</s></p><p type="main"><s>SALV. </s><s>To imitate the &longs;tarry Sphere, in which tho&longs;e neare&longs;t

<lb/>to the Æquinoctial, move in greater circles, than the more re

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<lb/>then is that motion which is about the centre natural, &longs;eeing it

<pb pagenum="218"/>differs in &longs;pecies from a right motion? </s><s>If it be violent, how is it

<pb xlink:href="040/01/236.jpg" pagenum="218"/>differs in &longs;pecies from a right motion? </s><s>If it be violent, how is it

<lb/>that a fiery dart flying upwards, &longs;parkling over our heads at a di

<lb/>&longs;tance from the Earth, but not turning about, <emph type="italics"/>&c.<emph.end type="italics"/>

<lb/><arrow.to.target n="marg420"></arrow.to.target></s></p><p type="margin"><s><margin.target id="marg420"></margin.target><emph type="italics"/>Of the mixt mo

Line 11617

<lb/>is onely to unite them&longs;elves to their whole; but that the moving

<pb pagenum="219"/>circularly along with the vertigenous diurnal revolution is ab&longs;o

<pb xlink:href="040/01/237.jpg" pagenum="219"/>circularly along with the vertigenous diurnal revolution is ab&longs;o

<lb/>lutely natural: again&longs;t which he objecteth, &longs;aying, that according

<lb/>to the&longs;e mens opinion; <emph type="italics"/>Si tota terra, unà cum aquâ in nihilum

<lb/>redigeretur, nulla grando aut pluvia è nube decideret, &longs;ed natu

Line 11659

<lb/>cant &longs;phere; (for it &longs;eemeth very rea&longs;onable, that &longs;ub&longs;tances that

<pb pagenum="220"/>under &longs;mall bulk contain much matter, &longs;hould have narrower pla

<pb xlink:href="040/01/238.jpg" pagenum="220"/>under &longs;mall bulk contain much matter, &longs;hould have narrower pla

<lb/>ces a&longs;&longs;igned them, leaving the more &longs;pacious to the more rarified)

<lb/>and there being dead of hunger, and re&longs;olved into Earth, would

<lb/>form a new little Globe, with that little water, which at that time

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<lb/>part I have not &longs;een; and will &longs;ay, that things grave have an exi

<pb pagenum="221"/>&longs;tence before the common centre of gravity: &longs;o that it is not one </s></p><p type="main"><s><arrow.to.target n="marg421"></arrow.to.target>

<pb xlink:href="040/01/239.jpg" pagenum="221"/>&longs;tence before the common centre of gravity: &longs;o that it is not one </s></p><p type="main"><s><arrow.to.target n="marg421"></arrow.to.target>

<lb/>centre alone, which is no other than indivi&longs;ible point, and therefore

<lb/>of no efficacie, that can attract unto it grave matters; but that tho&longs;e

<lb/>matters con&longs;piring naturally to unite, form to them&longs;elves a com

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<lb/>tions, I could &longs;hew, that it is not impo&longs;&longs;ible for a circle, though

<lb/>no bigger than a Cart-wheel, with making not 365, but le&longs;&longs;e than

<lb/>20 revolutions, to de&longs;cribe and mea&longs;ure the circumference, not

<lb/>onely of the grand Orb, but of one a thou&longs;and times greater;

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<lb/>the &longs;tars of the Firmament; and as this Author accompli&longs;heth &longs;uch

<pb pagenum="223"/>an enterprize of pulling the new &longs;tars out of heaven, and placing

<pb xlink:href="040/01/241.jpg" pagenum="223"/>an enterprize of pulling the new &longs;tars out of heaven, and placing

<lb/>them in the elementary Sphere, he &longs;hall be worthy to be highly

<lb/>exalted, and transferred him&longs;elf among&longs;t the &longs;tars, or at lea&longs;t,

<lb/>that his name be by fame eternized among&longs;t them. </s><s>Yet before we

Line 11864

<lb/>Eagle flying, and &longs;hould de&longs;cend thorow the &longs;imple invi&longs;ible Air,

<pb pagenum="224"/>and you had no other object vi&longs;ible and &longs;table, wherewith to make

<pb xlink:href="040/01/242.jpg" pagenum="224"/>and you had no other object vi&longs;ible and &longs;table, wherewith to make

<lb/>compari&longs;ons to that, you could not perceive its motion?</s></p><p type="main"><s>SIMP. No, nor the &longs;tone it &longs;elf; for if I would &longs;ee it, when

<lb/>it is at the highe&longs;t, I mu&longs;t rai&longs;e up my head, and as it de&longs;cendeth

Line 11913

<lb/>rowing the boat as fa&longs;t as could be, &longs;o that in a minute of an hour

<pb pagenum="225"/>it &longs;hould run above an hundred yards, he would let the ball &longs;ub

<pb xlink:href="040/01/243.jpg" pagenum="225"/>it &longs;hould run above an hundred yards, he would let the ball &longs;ub

<lb/>merge into the water, & freely de&longs;cend, & diligently ob&longs;erve its mo

<lb/>tion. </s><s>If he would but do thus, he &longs;hould &longs;ee, fir&longs;t, that it would go in a

<lb/>direct line towards that point of the bottom of the ve&longs;&longs;el, whither it

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<lb/>&longs;tand it otherwi&longs;e.</s></p>

<pb pagenum="226"/><p type="main"><s>SAGR. </s><s>I may then, it &longs;eems, for once prove a Ma&longs;ter to you both.

<pb xlink:href="040/01/244.jpg" pagenum="226"/><p type="main"><s>SAGR. </s><s>I may then, it &longs;eems, for once prove a Ma&longs;ter to you both.

<lb/></s><s>And becau&longs;e the proceeding by interrogatories doth in my opinion

<lb/>much dilucidate things, be&longs;ides the plea&longs;ure which it affords of con

<lb/>founding our companion, forcing from him that which he thought he

Line 12042

<lb/>firm, that the <emph type="italics"/>Tele&longs;cope<emph.end type="italics"/> moving to the right or left, upwards, or

<pb pagenum="227"/>downwards, and al&longs;o forwards or backwards ten or fifteen fathom,

<pb xlink:href="040/01/245.jpg" pagenum="227"/>downwards, and al&longs;o forwards or backwards ten or fifteen fathom,

<lb/>keeping it all the while parallel to its &longs;elf, the vi&longs;ive ray cannot

<lb/>&longs;tray from the point ob&longs;erved in the object, more than tho&longs;e fif

<lb/>teen fathom; and becau&longs;e in a di&longs;tance of eight or ten miles, the

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<lb/>ctrine of <emph type="italics"/>Copernicus,<emph.end type="italics"/> it is requi&longs;ite to deny the Sen&longs;es, and the

<pb pagenum="228"/>greate&longs;t Sen&longs;ations, as for in&longs;tance it would be, if we that feel the

<pb xlink:href="040/01/246.jpg" pagenum="228"/>greate&longs;t Sen&longs;ations, as for in&longs;tance it would be, if we that feel the

<lb/>re&longs;pirations of a gentle gale, &longs;hould not feel the impul&longs;e of a per

<lb/>petual winde that beateth upon us with a velocity that runs more

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<lb/>touching it, nor its impre&longs;&longs;ion on the &longs;en&longs;ible part: but if the prin

<pb pagenum="229"/>ciple be intrin&longs;ecal, we &longs;hall not perceive a local motion that is de

<pb xlink:href="040/01/247.jpg" pagenum="229"/>ciple be intrin&longs;ecal, we &longs;hall not perceive a local motion that is de

<lb/>rived from our &longs;elves, and we &longs;hall never di&longs;cover a propen&longs;ion per

<lb/>petually annexed to our &longs;elves.</s></p><p type="margin"><s><margin.target id="marg441"></margin.target><emph type="italics"/>He that will fol

<lb/>low<emph.end type="italics"/> Copernicus,

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<lb/>[Which I render thus:] From this opinion likewi&longs;e, we mu&longs;t of

<pb pagenum="230"/>nece&longs;&longs;ity &longs;u&longs;pect our own &longs;en&longs;es, as wholly fallible, or &longs;tupid in

<pb xlink:href="040/01/248.jpg" pagenum="230"/>nece&longs;&longs;ity &longs;u&longs;pect our own &longs;en&longs;es, as wholly fallible, or &longs;tupid in

<lb/>judging of &longs;en&longs;ible things even very near at hand. </s><s>What truth

<lb/>therefore can we hope for, to be derived from &longs;o deceiveable a fa

<lb/>culty?</s></p><p type="main"><s>SALV. </s><s>But I de&longs;ire not to deduce precepts more profitable, or

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<lb/>aliquâ cau&longs;â; [i. </s><s>e.]<emph.end type="italics"/> that every effect dependeth on &longs;ome cau&longs;e.

<pb pagenum="231"/>The &longs;econd, that <emph type="italics"/>Nulla res &longs;eip&longs;am producat; [i. </s><s>e.]<emph.end type="italics"/> that nothing

<pb xlink:href="040/01/249.jpg" pagenum="231"/>The &longs;econd, that <emph type="italics"/>Nulla res &longs;eip&longs;am producat; [i. </s><s>e.]<emph.end type="italics"/> that nothing

<lb/>produceth it &longs;elf: from whence it follows, that it is not po&longs;&longs;i

<lb/>ble that the mover and moved &longs;hould be totally the &longs;ame thing:

<lb/>And this is manife&longs;t, not onely in things that are moved by an ex

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<lb/>rerum natura.</s></p><p type="main"><s>SIMP. </s><s>But this an&longs;wer will not at all &longs;atisfie the Author who

<pb pagenum="232"/>makes the objection, yea, it is totally overthrown by that which

<pb xlink:href="040/01/250.jpg" pagenum="232"/>makes the objection, yea, it is totally overthrown by that which

<lb/>immediately after he addeth for a greater confirmation of his argu

<lb/>ment, as you &longs;hall hear. </s><s>He re-inforceth his argument, I &longs;ay, with

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<lb/>cour&longs;e may make this truth under&longs;tood; and this is, that of a &longs;olid

<pb pagenum="233"/>body that moveth, one of its extreams &longs;tanding &longs;till without chan

<pb xlink:href="040/01/251.jpg" pagenum="233"/>body that moveth, one of its extreams &longs;tanding &longs;till without chan

<lb/>ching place, the motion mu&longs;t needs be circular, and no other: and

<lb/>becau&longs;e in the living creatures moving, one of its members doth

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<lb/>before, one onely principle with the help of various in&longs;truments

<pb pagenum="234"/>produceth &longs;undry and divers motions in living creatures. </s><s>And as

<pb xlink:href="040/01/252.jpg" pagenum="234"/>produceth &longs;undry and divers motions in living creatures. </s><s>And as

<lb/>to the flexures there is no need of them, the motions being of the

<lb/>whole, and not of &longs;ome particular parts; and becau&longs;e they are

<lb/>to be circular, the meer &longs;pherical figure is the mo&longs;t perfect articu

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<lb/>cus<emph.end type="italics"/> al&longs;o. </s><s>The Diurnal motion of the <emph type="italics"/>primum mobile,<emph.end type="italics"/> is it not from

<pb pagenum="235"/>Ea&longs;t to We&longs;t? </s><s>And the annual motion of the Sun through the

<pb xlink:href="040/01/253.jpg" pagenum="235"/>Ea&longs;t to We&longs;t? </s><s>And the annual motion of the Sun through the

<lb/>Ecliptick, is it not on the contrary from We&longs;t to Ea&longs;t? </s><s>How

<lb/>then can you make the&longs;e motions being conferred on the Earth, of

<lb/>contraries to become con&longs;i&longs;tents?</s></p><p type="main"><s>SAGR. Certainly, <emph type="italics"/>Simplicius<emph.end type="italics"/> hath di&longs;covered to us the original

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<lb/>founded the whole &longs;umme of tho&longs;e things wherein <emph type="italics"/>Copernicus<emph.end type="italics"/>

<pb pagenum="236"/>di&longs;&longs;enteth from the doctrine of <emph type="italics"/>Ari&longs;totle<emph.end type="italics"/> and <emph type="italics"/>Ptolomy.<emph.end type="italics"/> As again,

<pb xlink:href="040/01/254.jpg" pagenum="236"/>di&longs;&longs;enteth from the doctrine of <emph type="italics"/>Ari&longs;totle<emph.end type="italics"/> and <emph type="italics"/>Ptolomy.<emph.end type="italics"/> As again,

<lb/>to this third motion, which the Author a&longs;&longs;ignes to the Terre&longs;trial

<lb/>Globe, as the judgment of <emph type="italics"/>Copernicus,<emph.end type="italics"/> I know not which he would

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<lb/>the fight, cau&longs;ed by the cry&longs;tals of the <emph type="italics"/>Tele&longs;cope.<emph.end type="italics"/></s></p>

<pb pagenum="237"/><p type="main"><s>SAGR. </s><s>But this would be to draw a further inconvenience up

<pb xlink:href="040/01/255.jpg" pagenum="237"/><p type="main"><s>SAGR. </s><s>But this would be to draw a further inconvenience up

<lb/>on him&longs;elf, in that he holdeth, that the bare eye cannot be decei

<lb/>ved in judging of the right motion of de&longs;cending graves, and yet

<lb/>holds that it is deceived in beholding the&longs;e other motions at &longs;uch

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<lb/>knowledge of their &longs;ub&longs;tances.</s></p>

<pb pagenum="238"/><p type="margin"><s><margin.target id="marg473"></margin.target><emph type="italics"/>The diver&longs;ity of

<pb xlink:href="040/01/256.jpg" pagenum="238"/><p type="margin"><s><margin.target id="marg473"></margin.target><emph type="italics"/>The diver&longs;ity of

<lb/>motions helpeth us

<lb/>in knowing the di

<lb/>ver&longs;ity of natures.<emph.end type="italics"/></s></p><p type="main"><s>SAGR. </s><s>I have twice or thrice ob&longs;erved in the di&longs;cour&longs;es of this

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<lb/>fixes agree, but from other operations; is it &longs;o?</s></p><p type="main"><s>SIMP. </s><s>The very &longs;ame.</s></p><p type="main"><s>SALV. </s><s>So that he who &longs;hould leave in the Elements all tho&longs;e

<pb pagenum="239"/>motions, operations, and other accidents, by which their natures

<pb xlink:href="040/01/257.jpg" pagenum="239"/>motions, operations, and other accidents, by which their natures

<lb/>are di&longs;tingui&longs;hed, would not deprive us of the power of coming

<lb/>to the knowledge of them; although he &longs;hould remove tho&longs;e o

<lb/>perations, in which they unitedly concur, and which for that rea&longs;on

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<lb/>and &longs;ixed Stars do move; and it being al&longs;o po&longs;&longs;ible, that the Sun

<pb pagenum="240"/>and fixed Stars may &longs;tand immoveable, in ca&longs;e the Earth &longs;hould

<pb xlink:href="040/01/258.jpg" pagenum="240"/>and fixed Stars may &longs;tand immoveable, in ca&longs;e the Earth &longs;hould

<lb/>move: the matter of fact in di&longs;pute is, to which of them we may

<lb/>with mo&longs;t convenience a&longs;cribe motion, and to which re&longs;t. </s><s>Natural

<lb/>rea&longs;on dictates, that motion ought to be a&longs;&longs;igned to the bodies,

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<lb/>yea with God him&longs;elf, the Architect, is it, to &longs;eque&longs;ter the pure

<pb pagenum="241"/>from the impure, the mortal from the immortal, as other Schools

<pb xlink:href="040/01/259.jpg" pagenum="241"/>from the impure, the mortal from the immortal, as other Schools

<lb/>teach; which tell us that the&longs;e impure and frail matters are con

<lb/>teined within the angu&longs;t concave of the Lunar Orb, above which

<lb/>with uninterrupted Series the things Cele&longs;tial di&longs;tend them&longs;elves.</s></p><p type="main"><s>SALV. It's true that the Copernican Sy&longs;teme introduceth di

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<lb/>he had &longs;worn to be their defender? </s><s>Nor doth that avail in this

<pb pagenum="242"/>ca&longs;e, which <emph type="italics"/>Copernicus<emph.end type="italics"/> alledgeth, that by rea&longs;on this motion is

<pb xlink:href="040/01/260.jpg" pagenum="242"/>ca&longs;e, which <emph type="italics"/>Copernicus<emph.end type="italics"/> alledgeth, that by rea&longs;on this motion is

<lb/>natural to the Earth and not violent, it worketh contrary effects

<lb/>to violent motions; and that tho&longs;e things di&longs;&longs;olve and cannot

<lb/>long &longs;ub&longs;i&longs;t, to which impul&longs;e is conferred, but tho&longs;e &longs;o made

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<lb/>chine; the &longs;ame motion that in the Starry Sphere is exceeding

<pb pagenum="243"/>&longs;wift, &longs;hall in that point be exceeding &longs;low; But the great mag

<pb xlink:href="040/01/261.jpg" pagenum="243"/>&longs;wift, &longs;hall in that point be exceeding &longs;low; But the great mag

<lb/>nitude of the body is that which maketh it of exceeding &longs;low, to

<lb/>become exceeding &longs;wift, although it continueth &longs;till the &longs;ame, and

<lb/>thus the velocity encrea&longs;eth, not beyond the model of the &longs;ub

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<lb/>its moving long without wearine&longs;&longs;e, in regard that living crea

<pb pagenum="244"/>tures them&longs;elves, which yet move naturally, and from an intern

<pb xlink:href="040/01/262.jpg" pagenum="244"/>tures them&longs;elves, which yet move naturally, and from an intern

<lb/>principle, do grow weary, and have need of re&longs;t to relax and re

<lb/>fre&longs;h their members --------</s></p><p type="margin"><s><margin.target id="marg492"></margin.target><emph type="italics"/>An explanation

<lb/>of the true &longs;en&longs;e of<emph.end type="italics"/>

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<lb/>that the whole &longs;trength of the argument recoileth upon the Op

<pb pagenum="245"/>ponent him&longs;elf, whil&longs;t he will make the <emph type="italics"/>Fir&longs;t Mover<emph.end type="italics"/> to hurry

<pb xlink:href="040/01/263.jpg" pagenum="245"/>ponent him&longs;elf, whil&longs;t he will make the <emph type="italics"/>Fir&longs;t Mover<emph.end type="italics"/> to hurry

<lb/>along with it all the inferiour Spheres, contrary to the motion

<lb/>which they them&longs;elves at the &longs;ame time exerci&longs;e. </s><s>It belongs there

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<lb/>which with a velocity incomparably greater than that of the

<pb pagenum="246"/>Earth is to carry along with it a thou&longs;and bodies, each much big

<pb xlink:href="040/01/264.jpg" pagenum="246"/>Earth is to carry along with it a thou&longs;and bodies, each much big

<lb/>ger than the Terre&longs;trial Globe.</s></p><p type="margin"><s><margin.target id="marg502"></margin.target>* Cinque ò &longs;ei

<lb/>braccia Fiorentini.</s></p><p type="margin"><s><margin.target id="marg503"></margin.target><emph type="italics"/>Wearineß more

<lb/>to be feared in the

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<lb/>&longs;hall hear what ever can be &longs;aid of that matter. </s><s>And I will after

<pb pagenum="247"/>wards by my &longs;elf, according to my u&longs;ual cu&longs;tome, make more de

<pb xlink:href="040/01/265.jpg" pagenum="247"/>wards by my &longs;elf, according to my u&longs;ual cu&longs;tome, make more de

<lb/>liberate reflexions upon what hath been, and is to be &longs;poken; and

<lb/>if I &longs;hould gain no more but this, it will be no &longs;mall benefit

<lb/>that I &longs;hall be able to di&longs;cour&longs;e more Logically.</s></p><p type="main"><s>SAGR. Therefore, that we may no further weary <emph type="italics"/>Salviatus,<emph.end type="italics"/>

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<lb/>to hear very plea&longs;ing novelties.</s></p><p type="main"><s>SIMP. </s><s>I will leave with you the Book <emph type="italics"/>De &longs;tellis novis,<emph.end type="italics"/> and car

<lb/>ry back this of the Conclu&longs;ions, to &longs;ee what is written therein a

<lb/>gain&longs;t the Annual motion, which are to be the arguments of our

<lb/>di&longs;cour&longs;e to morrow.</s></p><pb/><pb/><figure></figure><figure></figure><figure></figure><figure></figure><figure></figure><figure></figure><figure></figure><figure></figure><figure></figure><p type="caption"><s><emph type="italics"/>Place this Plate

<lb/>di&longs;cour&longs;e to morrow.</s></p><pb xlink:href="040/01/266.jpg"/><pb xlink:href="040/01/267.jpg"/><figure id="id.040.01.267.1.jpg" xlink:href="040/01/267/1.jpg"/><figure id="id.040.01.267.2.jpg" xlink:href="040/01/267/2.jpg"/><figure id="id.040.01.267.3.jpg" xlink:href="040/01/267/3.jpg"/><figure id="id.040.01.267.4.jpg" xlink:href="040/01/267/4.jpg"/><figure id="id.040.01.267.5.jpg" xlink:href="040/01/267/5.jpg"/><figure id="id.040.01.267.6.jpg" xlink:href="040/01/267/6.jpg"/><figure id="id.040.01.267.7.jpg" xlink:href="040/01/267/7.jpg"/><figure id="id.040.01.267.8.jpg" xlink:href="040/01/267/8.jpg"/><figure id="id.040.01.267.9.jpg" xlink:href="040/01/267/9.jpg"/><p type="caption"><s><emph type="italics"/>Place this Plate

<lb/>at the end of

<lb/>the Second<emph.end type="italics"/><lb/>Dialogue.</s></p>

</chap><chap><pb/>

</chap><chap><pb xlink:href="040/01/268.jpg"/>

<pb pagenum="249"/><p type="head"><s>GALILÆUS

<pb xlink:href="040/01/269.jpg" pagenum="249"/><p type="head"><s>GALILÆUS

<lb/>Galilæus Lyncæus,

<lb/>HIS

<lb/>SYSTEME

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<lb/>may have per&longs;waded them either way; though neverthele&longs;&longs;e we

<pb pagenum="250"/>do for the mo&longs;t part clo&longs;e with tho&longs;e produced by the grave Au

<pb xlink:href="040/01/270.jpg" pagenum="250"/>do for the mo&longs;t part clo&longs;e with tho&longs;e produced by the grave Au

<lb/>thours fir&longs;t above mentioned. </s><s>But albeit that the <emph type="italics"/>Peripatetick Hy

<lb/>pothe&longs;is,<emph.end type="italics"/> by rea&longs;on of its antiquity, hath had many followers and

<lb/>fautors, and the other very few; fir&longs;t, for its ob&longs;curity, and next,

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<lb/>entered not far from hence into a certain Channel, wanting depth,

<pb pagenum="251"/>where I was &longs;tranded, and forced to &longs;tay there more than a full

<pb xlink:href="040/01/271.jpg" pagenum="251"/>where I was &longs;tranded, and forced to &longs;tay there more than a full

<lb/>hour, in expecting the return of the tide: and there waiting in

<lb/>this manner, without being able to get out of the boat, which on a

<lb/>&longs;udden ran a ground, I ob&longs;erved a certain accident, which to me

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<pb pagenum="252"/><p type="main"><s>SAGR. </s><s>You have done very well; but if we would re-a&longs;&longs;ume

<pb xlink:href="040/01/272.jpg" pagenum="252"/><p type="main"><s>SAGR. </s><s>You have done very well; but if we would re-a&longs;&longs;ume

<lb/>our Di&longs;putations according to ye&longs;terdayes appointment, it is re

<lb/>qui&longs;ite that we fir&longs;t hear what account <emph type="italics"/>Salviatus<emph.end type="italics"/> hath to give us

<lb/>of the Book, <emph type="italics"/>De &longs;tellis novis,<emph.end type="italics"/> and then without interruption we

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<lb/>and the many Mathematicians that are in <emph type="italics"/>Italie,<emph.end type="italics"/> for &longs;uffering the

<pb pagenum="253"/>follies of &longs;uch a ^{*} Fabler again&longs;t <emph type="italics"/>A&longs;tronomers<emph.end type="italics"/> to come into the </s></p><p type="main"><s><arrow.to.target n="marg507"></arrow.to.target>

<pb xlink:href="040/01/273.jpg" pagenum="253"/>follies of &longs;uch a ^{*} Fabler again&longs;t <emph type="italics"/>A&longs;tronomers<emph.end type="italics"/> to come into the </s></p><p type="main"><s><arrow.to.target n="marg507"></arrow.to.target>

<lb/>light, and to be openly maintained without contradiction; but

<lb/>this al&longs;o might be di&longs;pen&longs;ed with, in re&longs;pect of the other greater

<lb/>occa&longs;ions of laughter, wherewith we may confront them depend

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<lb/>&longs;uppo&longs;ing that we &longs;peak of the fore&longs;aid Star, of <emph type="italics"/>Anno<emph.end type="italics"/> 1572. ap

<pb pagenum="254"/>pearing in <emph type="italics"/>Ca&longs;&longs;iopeia,<emph.end type="italics"/> tell me, <emph type="italics"/>Simplicius,<emph.end type="italics"/> whether you believe that

<pb xlink:href="040/01/274.jpg" pagenum="254"/>pearing in <emph type="italics"/>Ca&longs;&longs;iopeia,<emph.end type="italics"/> tell me, <emph type="italics"/>Simplicius,<emph.end type="italics"/> whether you believe that

<lb/>it might be in the &longs;ame time placed in divers places, that is, a

<lb/>mong&longs;t the Elements, aud al&longs;o among&longs;t the planetary Orbs, and

<lb/>al&longs;o above the&longs;e among&longs;t the fixed Stars, and yet again infinitely

Line 13473

<lb/>very expert in calcnlations, and demon&longs;trations to apprehend the

<pb pagenum="255"/>inconclu&longs;ivene&longs;&longs;e at lea&longs;t of the demon&longs;trations of this Author,

<pb xlink:href="040/01/275.jpg" pagenum="255"/>inconclu&longs;ivene&longs;&longs;e at lea&longs;t of the demon&longs;trations of this Author,

<lb/>fir&longs;t propo&longs;ed to con&longs;ideration, and how both he, and all the

<lb/>A&longs;tronomers with whom he contendeth, do agree that the new

<lb/>Star had not any motion of its own, and onely went round with

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<lb/>think the enterprize too much below him. </s><s>Now to give you to

<pb pagenum="256"/>under&longs;tand the &longs;ame, I have upon this paper tran&longs;cribed the con

<pb xlink:href="040/01/276.jpg" pagenum="256"/>under&longs;tand the &longs;ame, I have upon this paper tran&longs;cribed the con

<lb/>clu&longs;ions that he inferreth from his twelve indagations; the fir&longs;t of

<lb/>which is upon the two ob&longs;ervations:

<lb/><arrow.to.target n="table1"></arrow.to.target></s></p><p type="margin"><s><margin.target id="marg510"></margin.target><emph type="italics"/>The greate&longs;t and

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<lb/>the Firmnment.<emph.end type="italics"/></s></p><table><table.target id="table1"></table.target><row><cell>Of <emph type="italics"/>Maurolicus<emph.end type="italics"/> and <emph type="italics"/>Hainzelius,<emph.end type="italics"/> from which the Star is collected to have been di&longs;tant from the centre le&longs;&longs;e than 3 &longs;emidiameters of the Earth, the difference of Parallaxes being 4 <emph type="italics"/>gr. 42 m.<emph.end type="italics"/>30 <emph type="italics"/>&longs;ec.<emph.end type="italics"/></cell><cell>3 <emph type="italics"/>&longs;emid.<emph.end type="italics"/></cell></row><row><cell>2. And is calculated on the ob&longs;ervations of <emph type="italics"/>Hain-zelius,<emph.end type="italics"/> with Parall. of 8. <emph type="italics"/>m. 30 &longs;ec.<emph.end type="italics"/> and its di-&longs;tance from the centre is computed to be more than</cell><cell>25 <emph type="italics"/>&longs;emid.<emph.end type="italics"/></cell></row><row><cell>3. And upon the ob&longs;ervations of <emph type="italics"/>Tycho<emph.end type="italics"/> and <emph type="italics"/>Hain-zelius,<emph.end type="italics"/> with Parall. of 10 <emph type="italics"/>m.<emph.end type="italics"/> and the di&longs;tance of the centre is collected to be little le&longs;&longs;e than</cell><cell>19 <emph type="italics"/>&longs;emid.<emph.end type="italics"/></cell></row><row><cell>4. And upon the ob&longs;ervations of <emph type="italics"/>Tycho<emph.end type="italics"/> and the <emph type="italics"/>Landgrave,<emph.end type="italics"/> with Parall. of 14 <emph type="italics"/>m.<emph.end type="italics"/> the di&longs;tance from the centre is made to be about</cell><cell>10 <emph type="italics"/>&longs;emid.<emph.end type="italics"/></cell></row><row><cell>5. And upon the ob&longs;ervations of <emph type="italics"/>Hainzelius<emph.end type="italics"/> and <emph type="italics"/>Gemma,<emph.end type="italics"/> with Parall. of 42 <emph type="italics"/>m. 30 &longs;ec.<emph.end type="italics"/> whereby the di&longs;tance is gathered to be about</cell><cell>4 <emph type="italics"/>&longs;emid.<emph.end type="italics"/></cell></row><row><cell>6. And upon the ob&longs;ervations of the <emph type="italics"/>Landgrave<emph.end type="italics"/>and <emph type="italics"/>Camerarius,<emph.end type="italics"/> with Parall. of 8 <emph type="italics"/>m.<emph.end type="italics"/> the di-&longs;tance is concluded to be about</cell><cell>4 <emph type="italics"/>&longs;emid.<emph.end type="italics"/></cell></row><row><cell>7. And upon the ob&longs;ervations of <emph type="italics"/>Tycho<emph.end type="italics"/> and <emph type="italics"/>Hage-cius,<emph.end type="italics"/> with Parall. of 6 <emph type="italics"/>m.<emph.end type="italics"/> and the di&longs;tance is made</cell><cell>31 <emph type="italics"/>&longs;emid.<emph.end type="italics"/></cell></row><row><cell>8. And upon the ob&longs;ervations of <emph type="italics"/>Hagecius<emph.end type="italics"/> and <emph type="italics"/>Vr-&longs;inus<emph.end type="italics"/> with Parall. of 43 <emph type="italics"/>m.<emph.end type="italics"/> and the &longs;tars di&longs;tance from the &longs;uperficies of the Earth is rendred</cell><cell>1/2 <emph type="italics"/>&longs;emid.<emph.end type="italics"/></cell></row><row><cell>9. And upon the ob&longs;ervations of <emph type="italics"/>Landgravius<emph.end type="italics"/> and <emph type="italics"/>Bu&longs;chius,<emph.end type="italics"/> with Parall. of 15 <emph type="italics"/>m.<emph.end type="italics"/> and the di-&longs;tance from the &longs;uperficies of the Earth is by &longs;upputation</cell><cell>1/48 <emph type="italics"/>&longs;emid.<emph.end type="italics"/></cell></row><row><cell>10. And upon the ob&longs;ervations of <emph type="italics"/>Maurolice<emph.end type="italics"/> and <emph type="italics"/>Munocius,<emph.end type="italics"/> with Parall. of 4 <emph type="italics"/>m. 30 &longs;ec.<emph.end type="italics"/> and the compnted di&longs;tance from the Earths &longs;urface is</cell><cell>1/5 <emph type="italics"/>&longs;emid.<emph.end type="italics"/></cell></row><row><cell>11. And upon the ob&longs;ervations of <emph type="italics"/>Munocius<emph.end type="italics"/> and <emph type="italics"/>Gemma,<emph.end type="italics"/> with Parall. of 55 <emph type="italics"/>m.<emph.end type="italics"/> and the di&longs;tance from the centre is rendred</cell><cell>13 <emph type="italics"/>&longs;emid.<emph.end type="italics"/></cell></row>

<pb pagenum="257"/><row><cell>12. And upon the ob&longs;ervations of <emph type="italics"/>Muno&longs;ius<emph.end type="italics"/> and <emph type="italics"/>Vr&longs;inus<emph.end type="italics"/> with Parall. of 1 <emph type="italics"/>gr. 36 m.<emph.end type="italics"/> and the di-&longs;tance from the centre cometh forth le&longs;&longs;e than</cell><cell>7 <emph type="italics"/>&longs;emid.<emph.end type="italics"/></cell></row></table><p type="main"><s>The&longs;e are twelve indagations made by the Author at his electi

<pb xlink:href="040/01/277.jpg" pagenum="257"/><row><cell>12. And upon the ob&longs;ervations of <emph type="italics"/>Muno&longs;ius<emph.end type="italics"/> and <emph type="italics"/>Vr&longs;inus<emph.end type="italics"/> with Parall. of 1 <emph type="italics"/>gr. 36 m.<emph.end type="italics"/> and the di-&longs;tance from the centre cometh forth le&longs;&longs;e than</cell><cell>7 <emph type="italics"/>&longs;emid.<emph.end type="italics"/></cell></row></table><p type="main"><s>The&longs;e are twelve indagations made by the Author at his electi

<lb/>on, among&longs;t many which, as he &longs;aith, might be made by combi

<lb/>ning the ob&longs;ervations of the&longs;e thirteen ob&longs;ervators. </s><s>The which

<lb/>twelve we may believe to be the mo&longs;t favourable to prove his

Line 13574

<lb/>bined to one another.</s></p>

<pb pagenum="258"/><p type="main"><s>SIMP. </s><s>But this &longs;eemeth to me a very lame eva&longs;ion; for the ad

<pb xlink:href="040/01/278.jpg" pagenum="258"/><p type="main"><s>SIMP. </s><s>But this &longs;eemeth to me a very lame eva&longs;ion; for the ad

<lb/>ver&longs;e party may with as much rea&longs;on reply, that tho&longs;e are errone

<lb/>ous wherewith he collecteth the &longs;tar to have been in the Elemen

<lb/>tary Region.</s></p><p type="main"><s>SALV. </s><s>Oh <emph type="italics"/>Simplicius,<emph.end type="italics"/> if I could but make you comprehend

Line 13618

<lb/>di&longs;tance from the Pole.</s></p>

<pb pagenum="259"/><p type="main"><s>SALV. </s><s>I &longs;ee that you under&longs;tand the bu&longs;ine&longs;&longs;e very well. </s><s>I be

<pb xlink:href="040/01/279.jpg" pagenum="259"/><p type="main"><s>SALV. </s><s>I &longs;ee that you under&longs;tand the bu&longs;ine&longs;&longs;e very well. </s><s>I be

<lb/>lieve that you do likewi&longs;e comprehend, that, in regard the &longs;tar B

<lb/>is lower than C, the angle which is made by the rayes of the

<lb/>&longs;ight, which departing from the two places A and E, meet in C,

Line 13659

<lb/>&longs;elves to parallels, if &longs;o be the rece&longs;&longs;ion &longs;hould be infinite, which

<pb pagenum="260"/>ca&longs;e is not to be &longs;uppo&longs;ed. </s><s>But becau&longs;e (ob&longs;erve well) the di&longs;tance

<pb xlink:href="040/01/280.jpg" pagenum="260"/>ca&longs;e is not to be &longs;uppo&longs;ed. </s><s>But becau&longs;e (ob&longs;erve well) the di&longs;tance

<lb/>of the Firmament, in relation to the &longs;mallne&longs;&longs;e of the Earth, as

<lb/>hath been &longs;aid, is to be accounted, as if it were infinite; therefore

<lb/>the angle conteined betwixt the two rayes, that being drawn from

Line 13703

<lb/>you mu&longs;t believe me, and &longs;uppo&longs;e it for true, that two right lines

<pb pagenum="261"/>which depart from two points marked upon another right line, are

<pb xlink:href="040/01/281.jpg" pagenum="261"/>which depart from two points marked upon another right line, are

<lb/>then wider above than below, when the angles included between

<lb/>them upon that right line are greater than two right angles; and

<lb/>if the&longs;e angles &longs;hould be equal to two right angles, the lines would

Line 13747

<lb/>do find two that &longs;o accord, which both make the di&longs;tance of the

<pb pagenum="262"/>&longs;tar from the centre of the Earth 4 &longs;emidiameters, which are the&longs;e,

<pb xlink:href="040/01/282.jpg" pagenum="262"/>&longs;tar from the centre of the Earth 4 &longs;emidiameters, which are the&longs;e,

<lb/>the fifth and &longs;ixth, therefore it is more probable that the new &longs;tar

<lb/>was elementary, than cele&longs;tial.</s></p><p type="main"><s>SALV. </s><s>You mi&longs;take the point; for if you note well it was not

<lb/>written, that the di&longs;tance was exactly 4 &longs;emidiameters, but about

Line 13791

<lb/>fe&longs;t errour, and an apparent impo&longs;&longs;ibility of one of their ob&longs;er

<pb pagenum="263"/>vations by the addition or &longs;ub&longs;traction of two or three minutes, and

<pb xlink:href="040/01/283.jpg" pagenum="263"/>vations by the addition or &longs;ub&longs;traction of two or three minutes, and

<lb/>with that amendment to reduce it to po&longs;&longs;ibility, a man ought

<lb/>not to e&longs;&longs;ay to adju&longs;t it by the addition or &longs;ub&longs;traction of fifteen,

<lb/>twenty, or fifty.</s></p><p type="main"><s>SIMP. </s><s>I think the Authour would not deny this: for granting

Line 13834

<lb/>favour of whom I will &longs;peak, and you &longs;hall an&longs;wer for the Author.

<pb pagenum="264"/>And fir&longs;t, I ask you, whether the A&longs;tronomers, in ob&longs;erving with

<pb xlink:href="040/01/284.jpg" pagenum="264"/>And fir&longs;t, I ask you, whether the A&longs;tronomers, in ob&longs;erving with

<lb/>their In&longs;truments, and &longs;eeking <emph type="italics"/>v. </s><s>gr.<emph.end type="italics"/> how great the elevation of a

<lb/>Star is above the Horizon, may deviate from the truth, a&longs;well in

<lb/>making it too great, as too little; that is, may erroneou&longs;ly com

Line 13877

<lb/>the errour in ob&longs;erving was infinite, and therefore not to be amend

<pb pagenum="265"/>ed, and as &longs;uch to be refu&longs;ed; but the bu&longs;ine&longs;&longs;e doth not &longs;ucceed

<pb xlink:href="040/01/285.jpg" pagenum="265"/>ed, and as &longs;uch to be refu&longs;ed; but the bu&longs;ine&longs;&longs;e doth not &longs;ucceed

<lb/>in that manner, my <emph type="italics"/>Simplicius,<emph.end type="italics"/> and I excu&longs;e you for not having

<lb/>comprehended the matter as it is, in regard of your &longs;mall experi

<lb/>ence in &longs;uch affairs; but yet cannot I under that cloak palliate the

Line 13922

<lb/>gladly under&longs;tand the &longs;ame.</s></p><p type="main"><s>SALV. </s><s>You &longs;hall &longs;ee it, if not Theorically, yet at lea&longs;t Practi

<pb pagenum="266"/>cally, by this &longs;hort a&longs;&longs;umption, that I have made of all the combi

<pb xlink:href="040/01/286.jpg" pagenum="266"/>cally, by this &longs;hort a&longs;&longs;umption, that I have made of all the combi

<lb/>nations, and of part of the workings pretermitted by the Author,

<lb/>which I have calculated upon this &longs;ame paper.</s></p><p type="main"><s>SAGR. </s><s>You mu&longs;t then from ye&longs;terday, till now, which yet is

<lb/>not above eighteen hours, have done nothing but compute, with

Line 13945

<pb pagenum="268"/><table><table.target id="table2"></table.target><row><cell></cell><cell><emph type="italics"/>Tycho.<emph.end type="italics"/></cell><cell></cell><cell></cell></row><row><cell></cell><cell><emph type="italics"/>gr.<emph.end type="italics"/></cell><cell><emph type="italics"/>m.<emph.end type="italics"/></cell><cell></cell></row><row><cell>Altitude of the Pole</cell><cell>55</cell><cell>58</cell><cell></cell></row><row><cell>Altitude of the Star</cell><cell>84</cell><cell>00</cell><cell>the greate&longs;t.</cell></row><row><cell></cell><cell>27</cell><cell>57</cell><cell>the lea&longs;t.</cell></row><row><cell>And the&longs;e are, according to the fir&longs;t paper: but accor-ding to the &longs;econd, the greate&longs;t is ------------</cell><cell>27</cell><cell>45</cell><cell></cell></row></table><table><table.target id="table3"></table.target><row><cell></cell><cell><emph type="italics"/>Hainzelius.<emph.end type="italics"/></cell><cell></cell><cell></cell></row><row><cell></cell><cell><emph type="italics"/>gr.<emph.end type="italics"/></cell><cell><emph type="italics"/>m.<emph.end type="italics"/></cell><cell><emph type="italics"/>&longs;ec.<emph.end type="italics"/></cell></row><row><cell>Altitude of the Pole</cell><cell>48</cell><cell>22</cell><cell></cell></row><row><cell>Altitude of the Star</cell><cell>76</cell><cell>34</cell><cell></cell></row><row><cell></cell><cell>76</cell><cell>33</cell><cell>45</cell></row><row><cell></cell><cell>76</cell><cell>35</cell><cell></cell></row><row><cell></cell><cell>20</cell><cell>09</cell><cell>40</cell></row><row><cell></cell><cell>20</cell><cell>09</cell><cell>30</cell></row><row><cell></cell><cell>20</cell><cell>09</cell><cell>20</cell></row></table><table><table.target id="table4"></table.target><row><cell><emph type="italics"/>Peucerus<emph.end type="italics"/> and <emph type="italics"/>Sculerus.<emph.end type="italics"/></cell><cell></cell><cell></cell><cell><emph type="italics"/>Landgravius.<emph.end type="italics"/></cell><cell></cell><cell></cell></row><row><cell></cell><cell><emph type="italics"/>gr.<emph.end type="italics"/></cell><cell><emph type="italics"/>m.<emph.end type="italics"/></cell><cell></cell><cell><emph type="italics"/>gr.<emph.end type="italics"/></cell><cell><emph type="italics"/>m.<emph.end type="italics"/></cell></row><row><cell>Altitude of the pole</cell><cell>51</cell><cell>54</cell><cell>Altitude of the pole</cell><cell>51</cell><cell>18</cell></row><row><cell>Altitude of the Star</cell><cell>79</cell><cell>56</cell><cell>Altitude of the Star</cell><cell>79</cell><cell>30</cell></row><row><cell></cell><cell>23</cell><cell>33</cell><cell></cell><cell></cell><cell></cell></row></table><table><table.target id="table5"></table.target><row><cell></cell><cell><emph type="italics"/>Camerarius.<emph.end type="italics"/></cell><cell></cell></row><row><cell></cell><cell><emph type="italics"/>gr.<emph.end type="italics"/></cell><cell><emph type="italics"/>m.<emph.end type="italics"/></cell></row><row><cell>Altitude of the pole</cell><cell>52</cell><cell>24</cell></row><row><cell>Altitude of the Star</cell><cell>80</cell><cell>30</cell></row><row><cell></cell><cell>80</cell><cell>27</cell></row><row><cell></cell><cell>80</cell><cell>26</cell></row><row><cell></cell><cell>24</cell><cell>28</cell></row><row><cell></cell><cell>24</cell><cell>20</cell></row><row><cell></cell><cell>24</cell><cell>17</cell></row></table><table><table.target id="table6"></table.target><row><cell><emph type="italics"/>Hagecius<emph.end type="italics"/></cell><cell></cell><cell></cell><cell><emph type="italics"/>Maurolycus.<emph.end type="italics"/></cell><cell></cell><cell></cell></row><row><cell></cell><cell><emph type="italics"/>gr.<emph.end type="italics"/></cell><cell><emph type="italics"/>m.<emph.end type="italics"/></cell><cell></cell><cell><emph type="italics"/>gr.<emph.end type="italics"/></cell><cell><emph type="italics"/>m.<emph.end type="italics"/></cell></row><row><cell>Altitude of the pole</cell><cell>48</cell><cell>22</cell><cell>Altitude of the pole</cell><cell>38</cell><cell>30</cell></row><row><cell>Altitude of the Star</cell><cell>20</cell><cell>15</cell><cell>Altitude of the Star</cell><cell>62</cell><cell>00</cell></row><row><cell><emph type="italics"/>Munocius.<emph.end type="italics"/></cell><cell></cell><cell></cell><cell><emph type="italics"/>Vr&longs;inus.<emph.end type="italics"/></cell><cell></cell><cell></cell></row><row><cell></cell><cell><emph type="italics"/>gr.<emph.end type="italics"/></cell><cell><emph type="italics"/>m.<emph.end type="italics"/></cell><cell></cell><cell><emph type="italics"/>gr.<emph.end type="italics"/></cell><cell><emph type="italics"/>m.<emph.end type="italics"/></cell></row><row><cell>Altitude of the pole</cell><cell>39</cell><cell>30</cell><cell>Altitude of the pole</cell><cell>49</cell><cell>24</cell></row><row><cell>Altitude of the &longs;tar</cell><cell>67</cell><cell>30</cell><cell>Altitude of the &longs;tar</cell><cell>79</cell><cell>00</cell></row><row><cell></cell><cell>11</cell><cell>30</cell><cell></cell><cell>22</cell><cell>00</cell></row><row><cell><emph type="italics"/>Reinholdus.<emph.end type="italics"/></cell><cell></cell><cell></cell><cell><emph type="italics"/>Buchius.<emph.end type="italics"/></cell><cell></cell><cell></cell></row><row><cell></cell><cell><emph type="italics"/>gr.<emph.end type="italics"/></cell><cell><emph type="italics"/>m.<emph.end type="italics"/></cell><cell></cell><cell><emph type="italics"/>gr.<emph.end type="italics"/></cell><cell><emph type="italics"/>m.<emph.end type="italics"/></cell></row><row><cell>Altitude of the pole</cell><cell>51</cell><cell>18</cell><cell>Altitude of the pole</cell><cell>51</cell><cell>10</cell></row><row><cell>Altitude of the &longs;tar</cell><cell>79</cell><cell>30</cell><cell>Altitude of the &longs;tar</cell><cell>79</cell><cell>20</cell></row><row><cell></cell><cell>23</cell><cell>02</cell><cell></cell><cell>22</cell><cell>40</cell></row></table><table><table.target id="table7"></table.target><row><cell><emph type="italics"/>Gemma.<emph.end type="italics"/></cell><cell></cell><cell></cell></row><row><cell></cell><cell><emph type="italics"/>gr.<emph.end type="italics"/></cell><cell><emph type="italics"/>m.<emph.end type="italics"/></cell></row><row><cell>Altitude of the pole</cell><cell>50</cell><cell>50</cell></row><row><cell>Altitude of the &longs;tar</cell><cell>79</cell><cell>45</cell></row></table><p type="main"><s>Now to &longs;ee my whole proceeding, we may begin from the&longs;e

<pb xlink:href="040/01/288.jpg" pagenum="268"/><table><table.target id="table2"></table.target><row><cell></cell><cell><emph type="italics"/>Tycho.<emph.end type="italics"/></cell><cell></cell><cell></cell></row><row><cell></cell><cell><emph type="italics"/>gr.<emph.end type="italics"/></cell><cell><emph type="italics"/>m.<emph.end type="italics"/></cell><cell></cell></row><row><cell>Altitude of the Pole</cell><cell>55</cell><cell>58</cell><cell></cell></row><row><cell>Altitude of the Star</cell><cell>84</cell><cell>00</cell><cell>the greate&longs;t.</cell></row><row><cell></cell><cell>27</cell><cell>57</cell><cell>the lea&longs;t.</cell></row><row><cell>And the&longs;e are, according to the fir&longs;t paper: but accor-ding to the &longs;econd, the greate&longs;t is ------------</cell><cell>27</cell><cell>45</cell><cell></cell></row></table><table><table.target id="table3"></table.target><row><cell></cell><cell><emph type="italics"/>Hainzelius.<emph.end type="italics"/></cell><cell></cell><cell></cell></row><row><cell></cell><cell><emph type="italics"/>gr.<emph.end type="italics"/></cell><cell><emph type="italics"/>m.<emph.end type="italics"/></cell><cell><emph type="italics"/>&longs;ec.<emph.end type="italics"/></cell></row><row><cell>Altitude of the Pole</cell><cell>48</cell><cell>22</cell><cell></cell></row><row><cell>Altitude of the Star</cell><cell>76</cell><cell>34</cell><cell></cell></row><row><cell></cell><cell>76</cell><cell>33</cell><cell>45</cell></row><row><cell></cell><cell>76</cell><cell>35</cell><cell></cell></row><row><cell></cell><cell>20</cell><cell>09</cell><cell>40</cell></row><row><cell></cell><cell>20</cell><cell>09</cell><cell>30</cell></row><row><cell></cell><cell>20</cell><cell>09</cell><cell>20</cell></row></table><table><table.target id="table4"></table.target><row><cell><emph type="italics"/>Peucerus<emph.end type="italics"/> and <emph type="italics"/>Sculerus.<emph.end type="italics"/></cell><cell></cell><cell></cell><cell><emph type="italics"/>Landgravius.<emph.end type="italics"/></cell><cell></cell><cell></cell></row><row><cell></cell><cell><emph type="italics"/>gr.<emph.end type="italics"/></cell><cell><emph type="italics"/>m.<emph.end type="italics"/></cell><cell></cell><cell><emph type="italics"/>gr.<emph.end type="italics"/></cell><cell><emph type="italics"/>m.<emph.end type="italics"/></cell></row><row><cell>Altitude of the pole</cell><cell>51</cell><cell>54</cell><cell>Altitude of the pole</cell><cell>51</cell><cell>18</cell></row><row><cell>Altitude of the Star</cell><cell>79</cell><cell>56</cell><cell>Altitude of the Star</cell><cell>79</cell><cell>30</cell></row><row><cell></cell><cell>23</cell><cell>33</cell><cell></cell><cell></cell><cell></cell></row></table><table><table.target id="table5"></table.target><row><cell></cell><cell><emph type="italics"/>Camerarius.<emph.end type="italics"/></cell><cell></cell></row><row><cell></cell><cell><emph type="italics"/>gr.<emph.end type="italics"/></cell><cell><emph type="italics"/>m.<emph.end type="italics"/></cell></row><row><cell>Altitude of the pole</cell><cell>52</cell><cell>24</cell></row><row><cell>Altitude of the Star</cell><cell>80</cell><cell>30</cell></row><row><cell></cell><cell>80</cell><cell>27</cell></row><row><cell></cell><cell>80</cell><cell>26</cell></row><row><cell></cell><cell>24</cell><cell>28</cell></row><row><cell></cell><cell>24</cell><cell>20</cell></row><row><cell></cell><cell>24</cell><cell>17</cell></row></table><table><table.target id="table6"></table.target><row><cell><emph type="italics"/>Hagecius<emph.end type="italics"/></cell><cell></cell><cell></cell><cell><emph type="italics"/>Maurolycus.<emph.end type="italics"/></cell><cell></cell><cell></cell></row><row><cell></cell><cell><emph type="italics"/>gr.<emph.end type="italics"/></cell><cell><emph type="italics"/>m.<emph.end type="italics"/></cell><cell></cell><cell><emph type="italics"/>gr.<emph.end type="italics"/></cell><cell><emph type="italics"/>m.<emph.end type="italics"/></cell></row><row><cell>Altitude of the pole</cell><cell>48</cell><cell>22</cell><cell>Altitude of the pole</cell><cell>38</cell><cell>30</cell></row><row><cell>Altitude of the Star</cell><cell>20</cell><cell>15</cell><cell>Altitude of the Star</cell><cell>62</cell><cell>00</cell></row><row><cell><emph type="italics"/>Munocius.<emph.end type="italics"/></cell><cell></cell><cell></cell><cell><emph type="italics"/>Vr&longs;inus.<emph.end type="italics"/></cell><cell></cell><cell></cell></row><row><cell></cell><cell><emph type="italics"/>gr.<emph.end type="italics"/></cell><cell><emph type="italics"/>m.<emph.end type="italics"/></cell><cell></cell><cell><emph type="italics"/>gr.<emph.end type="italics"/></cell><cell><emph type="italics"/>m.<emph.end type="italics"/></cell></row><row><cell>Altitude of the pole</cell><cell>39</cell><cell>30</cell><cell>Altitude of the pole</cell><cell>49</cell><cell>24</cell></row><row><cell>Altitude of the &longs;tar</cell><cell>67</cell><cell>30</cell><cell>Altitude of the &longs;tar</cell><cell>79</cell><cell>00</cell></row><row><cell></cell><cell>11</cell><cell>30</cell><cell></cell><cell>22</cell><cell>00</cell></row><row><cell><emph type="italics"/>Reinholdus.<emph.end type="italics"/></cell><cell></cell><cell></cell><cell><emph type="italics"/>Buchius.<emph.end type="italics"/></cell><cell></cell><cell></cell></row><row><cell></cell><cell><emph type="italics"/>gr.<emph.end type="italics"/></cell><cell><emph type="italics"/>m.<emph.end type="italics"/></cell><cell></cell><cell><emph type="italics"/>gr.<emph.end type="italics"/></cell><cell><emph type="italics"/>m.<emph.end type="italics"/></cell></row><row><cell>Altitude of the pole</cell><cell>51</cell><cell>18</cell><cell>Altitude of the pole</cell><cell>51</cell><cell>10</cell></row><row><cell>Altitude of the &longs;tar</cell><cell>79</cell><cell>30</cell><cell>Altitude of the &longs;tar</cell><cell>79</cell><cell>20</cell></row><row><cell></cell><cell>23</cell><cell>02</cell><cell></cell><cell>22</cell><cell>40</cell></row></table><table><table.target id="table7"></table.target><row><cell><emph type="italics"/>Gemma.<emph.end type="italics"/></cell><cell></cell><cell></cell></row><row><cell></cell><cell><emph type="italics"/>gr.<emph.end type="italics"/></cell><cell><emph type="italics"/>m.<emph.end type="italics"/></cell></row><row><cell>Altitude of the pole</cell><cell>50</cell><cell>50</cell></row><row><cell>Altitude of the &longs;tar</cell><cell>79</cell><cell>45</cell></row></table><p type="main"><s>Now to &longs;ee my whole proceeding, we may begin from the&longs;e

<lb/>calculations, which are four, omitted by the Author, perhaps be

<lb/>cau&longs;e they make again&longs;t him, in regard they place the &longs;tar above

<lb/>the moon by many &longs;emidiameters of the Earth. </s><s>The fir&longs;t of

Line 13996

<lb/>to the working, which I re&longs;olve in this manner. <emph type="italics"/>Tycho,<emph.end type="italics"/> as may be

<pb pagenum="269"/>&longs;een in that &longs;ame note ob&longs;erved the &longs;tar in the polar altitude of 55

<pb xlink:href="040/01/289.jpg" pagenum="269"/>&longs;een in that &longs;ame note ob&longs;erved the &longs;tar in the polar altitude of 55

<lb/>degrees and 58 <emph type="italics"/>mi. </s><s>pri.<emph.end type="italics"/> And the polar altitude of the <emph type="italics"/>Landgrave<emph.end type="italics"/>

<lb/>was 51 degrees and 18 <emph type="italics"/>mi. </s><s>pri.<emph.end type="italics"/> The altitude of the &longs;tar in the Me

<lb/>ridian taken by <emph type="italics"/>Tycho<emph.end type="italics"/> was 27 degrees 45 <emph type="italics"/>mi. </s><s>pri.<emph.end type="italics"/> The <emph type="italics"/>Land

Line 14017

<lb/>of <emph type="italics"/>Tycho,<emph.end type="italics"/> and the angle B C D the difference of Parallaxes. </s><s>And

<pb pagenum="270"/>becau&longs;e the angle B A D, conteined between the vertical lines, is

<pb xlink:href="040/01/290.jpg" pagenum="270"/>becau&longs;e the angle B A D, conteined between the vertical lines, is

<lb/>equal to the difference of the Polar altitudes, it &longs;hall be 4<emph type="italics"/>gr. </s><s>40m.<emph.end type="italics"/>

<lb/>which I note here apart; and I finde the chord of it by the Table

<lb/>of Arches and Chords, and &longs;et it down neer unto it, which is 8142

Line 14053

<lb/>plication of the two numbers 58. and 100000. that is,

<pb pagenum="271"/><arrow.to.target n="table15"></arrow.to.target></s></p><table><table.target id="table15"></table.target><row><cell></cell><cell>59</cell><cell></cell></row><row><cell>58 00000</cell><cell>3473</cell><cell>13294</cell></row><row><cell></cell><cell>571</cell><cell></cell></row><row><cell></cell><cell>5</cell><cell></cell></row></table><p type="main"><s>And this way al&longs;o there will come forth 59 5113294/5800000</s></p><p type="main"><s>And &longs;o many &longs;emidiameters are contained in the line B C, to

<pb xlink:href="040/01/291.jpg" pagenum="271"/><arrow.to.target n="table15"></arrow.to.target></s></p><table><table.target id="table15"></table.target><row><cell></cell><cell>59</cell><cell></cell></row><row><cell>58 00000</cell><cell>3473</cell><cell>13294</cell></row><row><cell></cell><cell>571</cell><cell></cell></row><row><cell></cell><cell>5</cell><cell></cell></row></table><p type="main"><s>And this way al&longs;o there will come forth 59 5113294/5800000</s></p><p type="main"><s>And &longs;o many &longs;emidiameters are contained in the line B C, to

<lb/>which one being added for the line A B, we &longs;hall have little le&longs;&longs;e

<lb/>than 61. &longs;emidiameters for the two lines A B C; and therefore

<lb/>the right di&longs;tance from the centre A, to the Star C, &longs;hall be more

Line 14072

<pb pagenum="272"/><table><table.target id="table18"></table.target><row><cell></cell><cell>22466</cell><cell></cell></row><row><cell>116</cell><cell>30930</cell><cell>22466</cell></row><row><cell></cell><cell>673980</cell><cell></cell></row><row><cell></cell><cell>202194</cell><cell></cell></row><row><cell></cell><cell>67398</cell><cell></cell></row></table><table><table.target id="table19"></table.target><row><cell></cell><cell>59</cell><cell>_______</cell><cell>Di&longs;tance B C 59. and</cell></row><row><cell>116</cell><cell>6948</cell><cell>73380</cell><cell>almo&longs;t 60. &longs;emidiameters.</cell></row><row><cell></cell><cell>1144</cell><cell></cell><cell></cell></row><row><cell></cell><cell>10</cell><cell></cell><cell></cell></row></table><p type="main"><s>The next working is made upon two ob&longs;ervations of <emph type="italics"/>Tycho,<emph.end type="italics"/> and

<pb xlink:href="040/01/292.jpg" pagenum="272"/><table><table.target id="table18"></table.target><row><cell></cell><cell>22466</cell><cell></cell></row><row><cell>116</cell><cell>30930</cell><cell>22466</cell></row><row><cell></cell><cell>673980</cell><cell></cell></row><row><cell></cell><cell>202194</cell><cell></cell></row><row><cell></cell><cell>67398</cell><cell></cell></row></table><table><table.target id="table19"></table.target><row><cell></cell><cell>59</cell><cell>_______</cell><cell>Di&longs;tance B C 59. and</cell></row><row><cell>116</cell><cell>6948</cell><cell>73380</cell><cell>almo&longs;t 60. &longs;emidiameters.</cell></row><row><cell></cell><cell>1144</cell><cell></cell><cell></cell></row><row><cell></cell><cell>10</cell><cell></cell><cell></cell></row></table><p type="main"><s>The next working is made upon two ob&longs;ervations of <emph type="italics"/>Tycho,<emph.end type="italics"/> and

<lb/>of <emph type="italics"/>Muno&longs;ius,<emph.end type="italics"/> from which the Star is calculated to be di&longs;tant from

<lb/>the Centre of the Earth 478 Semidiameters and more.

Line 14084

<pb pagenum="273"/><table><table.target id="table24"></table.target><row><cell></cell><cell></cell><cell><emph type="italics"/>gr.<emph.end type="italics"/></cell><cell><emph type="italics"/>m.<emph.end type="italics"/></cell><cell></cell><cell><emph type="italics"/>gr.<emph.end type="italics"/></cell><cell><emph type="italics"/>m.<emph.end type="italics"/></cell></row><row><cell>Altitudes</cell><cell><emph type="italics"/>Peucerus<emph.end type="italics"/></cell><cell>51</cell><cell>54</cell><cell>Altitude</cell><cell>79</cell><cell>56</cell></row><row><cell>of the Pole.</cell><cell><emph type="italics"/>Muno&longs;ius<emph.end type="italics"/></cell><cell>39</cell><cell>30</cell><cell>of the *</cell><cell>47</cell><cell>30</cell></row><row><cell></cell><cell></cell><cell>12</cell><cell>24</cell><cell></cell><cell>12</cell><cell>26</cell></row><row><cell></cell><cell></cell><cell></cell><cell></cell><cell></cell><cell>12</cell><cell>24</cell></row><row><cell></cell><cell></cell><cell></cell><cell></cell><cell></cell><cell>0</cell><cell>2</cell></row></table><table><table.target id="table25"></table.target><row><cell></cell><cell></cell><cell><emph type="italics"/>gr.<emph.end type="italics"/></cell><cell><emph type="italics"/>m.<emph.end type="italics"/></cell><cell></cell><cell></cell></row><row><cell></cell><cell><emph type="italics"/>B A D.<emph.end type="italics"/></cell><cell>12</cell><cell>24</cell><cell>its chord</cell><cell>21600</cell></row><row><cell>Angles</cell><cell><emph type="italics"/>B D C.<emph.end type="italics"/></cell><cell>106</cell><cell>16</cell><cell>Sines</cell><cell>95996</cell></row><row><cell></cell><cell><emph type="italics"/>B C D.<emph.end type="italics"/></cell><cell>0</cell><cell>2</cell><cell></cell><cell>58</cell></row></table><p type="main"><s>The Golden Rule.

<pb xlink:href="040/01/293.jpg" pagenum="273"/><table><table.target id="table24"></table.target><row><cell></cell><cell></cell><cell><emph type="italics"/>gr.<emph.end type="italics"/></cell><cell><emph type="italics"/>m.<emph.end type="italics"/></cell><cell></cell><cell><emph type="italics"/>gr.<emph.end type="italics"/></cell><cell><emph type="italics"/>m.<emph.end type="italics"/></cell></row><row><cell>Altitudes</cell><cell><emph type="italics"/>Peucerus<emph.end type="italics"/></cell><cell>51</cell><cell>54</cell><cell>Altitude</cell><cell>79</cell><cell>56</cell></row><row><cell>of the Pole.</cell><cell><emph type="italics"/>Muno&longs;ius<emph.end type="italics"/></cell><cell>39</cell><cell>30</cell><cell>of the *</cell><cell>47</cell><cell>30</cell></row><row><cell></cell><cell></cell><cell>12</cell><cell>24</cell><cell></cell><cell>12</cell><cell>26</cell></row><row><cell></cell><cell></cell><cell></cell><cell></cell><cell></cell><cell>12</cell><cell>24</cell></row><row><cell></cell><cell></cell><cell></cell><cell></cell><cell></cell><cell>0</cell><cell>2</cell></row></table><table><table.target id="table25"></table.target><row><cell></cell><cell></cell><cell><emph type="italics"/>gr.<emph.end type="italics"/></cell><cell><emph type="italics"/>m.<emph.end type="italics"/></cell><cell></cell><cell></cell></row><row><cell></cell><cell><emph type="italics"/>B A D.<emph.end type="italics"/></cell><cell>12</cell><cell>24</cell><cell>its chord</cell><cell>21600</cell></row><row><cell>Angles</cell><cell><emph type="italics"/>B D C.<emph.end type="italics"/></cell><cell>106</cell><cell>16</cell><cell>Sines</cell><cell>95996</cell></row><row><cell></cell><cell><emph type="italics"/>B C D.<emph.end type="italics"/></cell><cell>0</cell><cell>2</cell><cell></cell><cell>58</cell></row></table><p type="main"><s>The Golden Rule.

<lb/><arrow.to.target n="table26"></arrow.to.target></s></p><table><table.target id="table26"></table.target><row><cell>58</cell><cell>----95996</cell><cell>----21600</cell></row><row><cell></cell><cell>21600</cell><cell></cell></row><row><cell></cell><cell>57597600</cell><cell></cell></row><row><cell></cell><cell>95996</cell><cell></cell></row><row><cell></cell><cell>191992</cell><cell></cell></row><row><cell></cell><cell>357</cell><cell></cell></row><row><cell>58</cell><cell>20735</cell><cell>13600</cell></row><row><cell></cell><cell>3339</cell><cell></cell></row><row><cell></cell><cell>42</cell><cell></cell></row></table><p type="main"><s>From this other working the &longs;tar is found to be di&longs;tant from the

<lb/>centre more than 716. &longs;emidiameters.

Line 14094

<lb/>that particular, which even now I told you, namely, that in great

<pb pagenum="274"/>di&longs;tances, the mutations, or if you plea&longs;e corrections, of a ve

<pb xlink:href="040/01/294.jpg" pagenum="274"/>di&longs;tances, the mutations, or if you plea&longs;e corrections, of a ve

<lb/>ry few minutes, removeth the &longs;tar a very great way farther off.

<lb/></s><s>As for example, in the fir&longs;t of the&longs;e workings, where the calcu

<lb/>lation made the &longs;tar 60. &longs;emidiameters remote from the centre,

Line 14137

<lb/>3. &longs;emidiameters with the Parallax of 4 <emph type="italics"/>gr. </s><s>42 m. </s><s>30. &longs;ec.<emph.end type="italics"/> Let

<pb pagenum="275"/>us &longs;ee whether by withdrawing it 20. minutes onely, it will ri&longs;e

<pb xlink:href="040/01/295.jpg" pagenum="275"/>us &longs;ee whether by withdrawing it 20. minutes onely, it will ri&longs;e

<lb/>to the height of 32. &longs;emidiameters: See the &longs;hort and true opera

<lb/>tion. </s><s>Multiply the &longs;ine of the angle B D C, by the &longs;ine of the

Line 14156

<pb pagenum="276"/><arrow.to.target n="table34"></arrow.to.target></s></p><table><table.target id="table33"></table.target><row><cell>B D</cell><cell>Chord</cell><cell>6166</cell></row><row><cell>B D C</cell><cell>Sines</cell><cell>97987</cell></row><row><cell>B C D</cell><cell></cell><cell>247</cell></row></table><table><table.target id="table34"></table.target><row><cell></cell><cell>97987</cell><cell></cell></row><row><cell></cell><cell>6166</cell><cell></cell></row><row><cell></cell><cell>587922</cell><cell></cell></row><row><cell></cell><cell>587922</cell><cell></cell></row><row><cell></cell><cell>97987</cell><cell></cell></row><row><cell></cell><cell>587922</cell><cell></cell></row><row><cell></cell><cell>24</cell><cell></cell></row><row><cell>247</cell><cell>6041</cell><cell>87842</cell></row><row><cell></cell><cell>1103</cell><cell></cell></row><row><cell></cell><cell>11</cell><cell></cell></row></table><p type="main"><s>And bringing back the Parallax 0 <emph type="italics"/>gr. </s><s>8 m. </s><s>30 &longs;ec.<emph.end type="italics"/> to 7 <emph type="italics"/>gr.<emph.end type="italics"/>

<pb xlink:href="040/01/296.jpg" pagenum="276"/><arrow.to.target n="table34"></arrow.to.target></s></p><table><table.target id="table33"></table.target><row><cell>B D</cell><cell>Chord</cell><cell>6166</cell></row><row><cell>B D C</cell><cell>Sines</cell><cell>97987</cell></row><row><cell>B C D</cell><cell></cell><cell>247</cell></row></table><table><table.target id="table34"></table.target><row><cell></cell><cell>97987</cell><cell></cell></row><row><cell></cell><cell>6166</cell><cell></cell></row><row><cell></cell><cell>587922</cell><cell></cell></row><row><cell></cell><cell>587922</cell><cell></cell></row><row><cell></cell><cell>97987</cell><cell></cell></row><row><cell></cell><cell>587922</cell><cell></cell></row><row><cell></cell><cell>24</cell><cell></cell></row><row><cell>247</cell><cell>6041</cell><cell>87842</cell></row><row><cell></cell><cell>1103</cell><cell></cell></row><row><cell></cell><cell>11</cell><cell></cell></row></table><p type="main"><s>And bringing back the Parallax 0 <emph type="italics"/>gr. </s><s>8 m. </s><s>30 &longs;ec.<emph.end type="italics"/> to 7 <emph type="italics"/>gr.<emph.end type="italics"/>

<lb/>7 <emph type="italics"/>m.<emph.end type="italics"/> who&longs;e &longs;ine is 204, the &longs;tar elevateth to 30 &longs;emidiameters or

<lb/>thereabouts; therefore the correction of 0 <emph type="italics"/>gr. </s><s>1 mi. </s><s>30 &longs;ec.<emph.end type="italics"/> doth

<lb/>not &longs;uffice.

Line 14176

<pb pagenum="277"/><arrow.to.target n="table37"></arrow.to.target></s></p><table><table.target id="table36"></table.target><row><cell></cell><cell>B A D</cell><cell>7</cell><cell>36</cell><cell>Chord</cell><cell>13254</cell></row><row><cell>Angles</cell><cell>B D C</cell><cell>155</cell><cell>52</cell><cell>Sine</cell><cell>40886</cell></row><row><cell></cell><cell>B C D</cell><cell>0</cell><cell>10</cell><cell>Sine</cell><cell>291</cell></row></table><table><table.target id="table37"></table.target><row><cell></cell><cell>13254</cell><cell></cell><cell></cell><cell></cell></row><row><cell></cell><cell>40886</cell><cell></cell><cell></cell><cell></cell></row><row><cell></cell><cell>79524</cell><cell></cell><cell></cell><cell></cell></row><row><cell></cell><cell>106032</cell><cell></cell><cell></cell><cell></cell></row><row><cell></cell><cell>106032</cell><cell></cell><cell></cell><cell></cell></row><row><cell></cell><cell>53016</cell><cell></cell><cell></cell><cell></cell></row><row><cell></cell><cell>18</cell><cell></cell><cell></cell><cell>30</cell></row><row><cell>291</cell><cell>5419</cell><cell>03044</cell><cell>175</cell><cell>5419</cell></row><row><cell></cell><cell>250</cell><cell></cell><cell></cell><cell>16</cell></row><row><cell></cell><cell>181</cell><cell></cell><cell></cell><cell></cell></row></table><p type="main"><s>Let us come to the fourth working, and the re&longs;t with the &longs;ame

<pb xlink:href="040/01/297.jpg" pagenum="277"/><arrow.to.target n="table37"></arrow.to.target></s></p><table><table.target id="table36"></table.target><row><cell></cell><cell>B A D</cell><cell>7</cell><cell>36</cell><cell>Chord</cell><cell>13254</cell></row><row><cell>Angles</cell><cell>B D C</cell><cell>155</cell><cell>52</cell><cell>Sine</cell><cell>40886</cell></row><row><cell></cell><cell>B C D</cell><cell>0</cell><cell>10</cell><cell>Sine</cell><cell>291</cell></row></table><table><table.target id="table37"></table.target><row><cell></cell><cell>13254</cell><cell></cell><cell></cell><cell></cell></row><row><cell></cell><cell>40886</cell><cell></cell><cell></cell><cell></cell></row><row><cell></cell><cell>79524</cell><cell></cell><cell></cell><cell></cell></row><row><cell></cell><cell>106032</cell><cell></cell><cell></cell><cell></cell></row><row><cell></cell><cell>106032</cell><cell></cell><cell></cell><cell></cell></row><row><cell></cell><cell>53016</cell><cell></cell><cell></cell><cell></cell></row><row><cell></cell><cell>18</cell><cell></cell><cell></cell><cell>30</cell></row><row><cell>291</cell><cell>5419</cell><cell>03044</cell><cell>175</cell><cell>5419</cell></row><row><cell></cell><cell>250</cell><cell></cell><cell></cell><cell>16</cell></row><row><cell></cell><cell>181</cell><cell></cell><cell></cell><cell></cell></row></table><p type="main"><s>Let us come to the fourth working, and the re&longs;t with the &longs;ame

<lb/>rule, and with the chords and &longs;ines found out by the Authour

<lb/>him&longs;elf; in this the Parallax is 14 <emph type="italics"/>m. </s><s>prim.<emph.end type="italics"/> and the height found

<lb/>le&longs;&longs;e than 10 &longs;emidiameters, and dimini&longs;hing the Parallax from

Line 14194

<pb pagenum="278"/><arrow.to.target n="table41"></arrow.to.target></s></p><table><table.target id="table40"></table.target><row><cell></cell><cell>B A D</cell><cell>Chord</cell><cell>4034</cell></row><row><cell>Angles</cell><cell>B D C</cell><cell>Sine</cell><cell>97998</cell></row><row><cell></cell><cell>B C D</cell><cell></cell><cell>1236</cell></row></table><table><table.target id="table41"></table.target><row><cell></cell><cell>97998</cell><cell></cell></row><row><cell></cell><cell>4034</cell><cell></cell></row><row><cell></cell><cell>391992</cell><cell></cell></row><row><cell></cell><cell>293994</cell><cell></cell></row><row><cell></cell><cell>391992</cell><cell></cell></row><row><cell></cell><cell>27</cell><cell></cell></row><row><cell>145</cell><cell>3953</cell><cell>23932</cell></row><row><cell></cell><cell>1058</cell><cell></cell></row><row><cell></cell><cell>3</cell><cell></cell></row></table><p type="main"><s>In the &longs;ixth operation the chord, the &longs;ines and Parallax are as

<pb xlink:href="040/01/298.jpg" pagenum="278"/><arrow.to.target n="table41"></arrow.to.target></s></p><table><table.target id="table40"></table.target><row><cell></cell><cell>B A D</cell><cell>Chord</cell><cell>4034</cell></row><row><cell>Angles</cell><cell>B D C</cell><cell>Sine</cell><cell>97998</cell></row><row><cell></cell><cell>B C D</cell><cell></cell><cell>1236</cell></row></table><table><table.target id="table41"></table.target><row><cell></cell><cell>97998</cell><cell></cell></row><row><cell></cell><cell>4034</cell><cell></cell></row><row><cell></cell><cell>391992</cell><cell></cell></row><row><cell></cell><cell>293994</cell><cell></cell></row><row><cell></cell><cell>391992</cell><cell></cell></row><row><cell></cell><cell>27</cell><cell></cell></row><row><cell>145</cell><cell>3953</cell><cell>23932</cell></row><row><cell></cell><cell>1058</cell><cell></cell></row><row><cell></cell><cell>3</cell><cell></cell></row></table><p type="main"><s>In the &longs;ixth operation the chord, the &longs;ines and Parallax are as

<lb/>followeth, and the &longs;tar is found to be about 4 &longs;emidiameters; let

<lb/>us &longs;ee whether it will be reduced, abating the Parallax from 8 <emph type="italics"/>m.<emph.end type="italics"/>

<lb/>to 1 <emph type="italics"/>m.<emph.end type="italics"/> onely; Here is the operation, and the &longs;tar rai&longs;ed but to

Line 14210

<pb pagenum="279"/><arrow.to.target n="table45"></arrow.to.target></s></p><table><table.target id="table44"></table.target><row><cell>B D</cell><cell>Chord</cell><cell>1804</cell></row><row><cell>B D C</cell><cell>Sine</cell><cell>36643</cell></row><row><cell>B C D</cell><cell>Sine</cell><cell>29</cell></row></table><table><table.target id="table45"></table.target><row><cell></cell><cell>36643</cell><cell></cell></row><row><cell></cell><cell>1804</cell><cell></cell></row><row><cell></cell><cell>146572</cell><cell></cell></row><row><cell></cell><cell>293144</cell><cell></cell></row><row><cell></cell><cell>36643</cell><cell></cell></row><row><cell></cell><cell>22</cell><cell></cell></row><row><cell>29</cell><cell>661</cell><cell>03972</cell></row><row><cell></cell><cell>83</cell><cell></cell></row><row><cell></cell><cell>2</cell><cell></cell></row></table><p type="main"><s>Let us now &longs;ee the ninth. </s><s>Here is the chord, the &longs;ines and

<pb xlink:href="040/01/299.jpg" pagenum="279"/><arrow.to.target n="table45"></arrow.to.target></s></p><table><table.target id="table44"></table.target><row><cell>B D</cell><cell>Chord</cell><cell>1804</cell></row><row><cell>B D C</cell><cell>Sine</cell><cell>36643</cell></row><row><cell>B C D</cell><cell>Sine</cell><cell>29</cell></row></table><table><table.target id="table45"></table.target><row><cell></cell><cell>36643</cell><cell></cell></row><row><cell></cell><cell>1804</cell><cell></cell></row><row><cell></cell><cell>146572</cell><cell></cell></row><row><cell></cell><cell>293144</cell><cell></cell></row><row><cell></cell><cell>36643</cell><cell></cell></row><row><cell></cell><cell>22</cell><cell></cell></row><row><cell>29</cell><cell>661</cell><cell>03972</cell></row><row><cell></cell><cell>83</cell><cell></cell></row><row><cell></cell><cell>2</cell><cell></cell></row></table><p type="main"><s>Let us now &longs;ee the ninth. </s><s>Here is the chord, the &longs;ines and

<lb/>the Parallax which is 15 <emph type="italics"/>m.<emph.end type="italics"/> From whence the Authour calcu

<lb/>lates the di&longs;tance of the &longs;tar from the &longs;uperficies of the Earth

<lb/>to be le&longs;&longs;e than a ^{*} &longs;even and fortieth part of a &longs;emidiameter,

Line 14236

<lb/>diameter, with the&longs;e angles, &longs;ines, and Parallax, that is, 4 <emph type="italics"/>gr.<emph.end type="italics"/>

<pb pagenum="280"/>30 <emph type="italics"/>m.<emph.end type="italics"/> which I &longs;ee that being reduced from 4 <emph type="italics"/>gr. </s><s>30 min.<emph.end type="italics"/> to 2 <emph type="italics"/>min.<emph.end type="italics"/>

<pb xlink:href="040/01/300.jpg" pagenum="280"/>30 <emph type="italics"/>m.<emph.end type="italics"/> which I &longs;ee that being reduced from 4 <emph type="italics"/>gr. </s><s>30 min.<emph.end type="italics"/> to 2 <emph type="italics"/>min.<emph.end type="italics"/>

<lb/>yet neverthele&longs;&longs;e it elevates not the &longs;tar to 29. &longs;emidiameters.

<lb/><arrow.to.target n="table49"></arrow.to.target></s></p><table><table.target id="table48"></table.target><row><cell>B D</cell><cell></cell><cell>Chord</cell><cell>1746</cell></row><row><cell>B D C</cell><cell></cell><cell>Sine</cell><cell>92050</cell></row><row><cell>B C D</cell><cell>4 <emph type="italics"/>gr. 30 m.<emph.end type="italics"/></cell><cell>Sine</cell><cell>7846</cell></row></table><table><table.target id="table49"></table.target><row><cell></cell><cell>92050</cell><cell></cell></row><row><cell></cell><cell>17460</cell><cell></cell></row><row><cell></cell><cell>552300</cell><cell></cell></row><row><cell></cell><cell>36820</cell><cell></cell></row><row><cell></cell><cell>64435</cell><cell></cell></row><row><cell></cell><cell>9205</cell><cell></cell></row><row><cell></cell><cell>27</cell><cell></cell></row><row><cell>58</cell><cell>1607</cell><cell>19300</cell></row><row><cell></cell><cell>441</cell><cell></cell></row><row><cell></cell><cell>4</cell><cell></cell></row></table><p type="main"><s>The eleventh rendereth the &longs;tar to the Authour remote about

Line 14251

<lb/>&longs;tance, therefore the correction of 1 <emph type="italics"/>gr. </s><s>16. min.<emph.end type="italics"/> &longs;ufficeth not.

<lb/><arrow.to.target n="table53"></arrow.to.target></s></p><table><table.target id="table52"></table.target><row><cell>B D</cell><cell></cell><cell>Chord</cell><cell>17258</cell></row><row><cell>B D C</cell><cell></cell><cell>Sine</cell><cell>96150</cell></row><row><cell>B C D</cell><cell>1 <emph type="italics"/>gr. 36 m.<emph.end type="italics"/></cell><cell>Sine</cell><cell>2792</cell></row></table><table><table.target id="table53"></table.target><row><cell></cell><cell>17258</cell><cell></cell></row><row><cell></cell><cell>96150</cell><cell></cell></row><row><cell></cell><cell>862900</cell><cell></cell></row><row><cell></cell><cell>17258</cell><cell></cell></row><row><cell></cell><cell>103548</cell><cell></cell></row><row><cell></cell><cell>155322</cell><cell></cell></row><row><cell></cell><cell>28</cell><cell></cell></row><row><cell>582</cell><cell>16593</cell><cell>56700</cell></row><row><cell></cell><cell>4957</cell><cell></cell></row><row><cell></cell><cell>29</cell><cell></cell></row></table><p type="head"><s><emph type="italics"/>The&longs;e are the Corrections of the Parallaxes

<lb/>of the ten workings of the Author, to

<lb/>reduce the Star to the altitude of<emph.end type="italics"/>

Line 14263

<lb/>correction &longs;uffice.</s></p>

<pb pagenum="282"/><p type="main"><s>Here we &longs;ee al&longs;o, (as I have noted even now) that &longs;hould the

<pb xlink:href="040/01/302.jpg" pagenum="282"/><p type="main"><s>Here we &longs;ee al&longs;o, (as I have noted even now) that &longs;hould the

<lb/>Authour con&longs;ent to a&longs;&longs;ign the di&longs;tance of 32. Semidiameters for

<lb/>the true height of the Star, the correction of tho&longs;e his 10. workings,

<lb/>(I &longs;ay 10. becau&longs;e the &longs;econd being very high, is reduced to the

Line 14289

<lb/><arrow.to.target n="table56"></arrow.to.target></s></p><table><table.target id="table56"></table.target><row><cell></cell><cell></cell><cell><emph type="italics"/>gr.<emph.end type="italics"/></cell><cell><emph type="italics"/>m.<emph.end type="italics"/></cell><cell></cell><cell><emph type="italics"/>gr.<emph.end type="italics"/></cell><cell><emph type="italics"/>m.<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>Camerar.<emph.end type="italics"/></cell><cell>Polar altit.</cell><cell>52</cell><cell>24</cell><cell>Altit. of the Star</cell><cell>80</cell><cell>26</cell></row><row><cell><emph type="italics"/>Peucerus<emph.end type="italics"/></cell><cell></cell><cell>51</cell><cell>54</cell><cell></cell><cell>79</cell><cell>56</cell></row><row><cell></cell><cell></cell><cell>0</cell><cell>30</cell><cell></cell><cell>0</cell><cell>30</cell></row><row><cell></cell><cell></cell><cell><emph type="italics"/>gr.<emph.end type="italics"/></cell><cell><emph type="italics"/>m.<emph.end type="italics"/></cell><cell></cell><cell><emph type="italics"/>gr.<emph.end type="italics"/></cell><cell><emph type="italics"/>m.<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>Landgrav.<emph.end type="italics"/></cell><cell>Polar altit.</cell><cell>51</cell><cell>18</cell><cell>Altit. of the Star</cell><cell>79</cell><cell>30</cell></row><row><cell><emph type="italics"/>Hainzel.<emph.end type="italics"/></cell><cell></cell><cell>48</cell><cell>22</cell><cell></cell><cell>76</cell><cell>34</cell></row><row><cell></cell><cell></cell><cell>2</cell><cell>56</cell><cell></cell><cell>2</cell><cell>56</cell></row><row><cell></cell><cell></cell><cell><emph type="italics"/>gr.<emph.end type="italics"/></cell><cell><emph type="italics"/>m.<emph.end type="italics"/></cell><cell></cell><cell><emph type="italics"/>gr.<emph.end type="italics"/></cell><cell><emph type="italics"/>m.<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>Tycho<emph.end type="italics"/></cell><cell>Polar altit.</cell><cell>55</cell><cell>58</cell><cell>Altit. of the Star</cell><cell>84</cell><cell>00</cell></row><row><cell><emph type="italics"/>Peucerus<emph.end type="italics"/></cell><cell></cell><cell>51</cell><cell>54</cell><cell></cell><cell>79</cell><cell>56</cell></row><row><cell></cell><cell></cell><cell>4</cell><cell>4</cell><cell></cell><cell>4</cell><cell>4</cell></row>

<pb pagenum="283"/><row><cell></cell><cell></cell><cell><emph type="italics"/>gr.<emph.end type="italics"/></cell><cell><emph type="italics"/>m.<emph.end type="italics"/></cell><cell></cell><cell><emph type="italics"/>gr.<emph.end type="italics"/></cell><cell><emph type="italics"/>m.<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>Reinhold.<emph.end type="italics"/></cell><cell>Polar altit.</cell><cell>51</cell><cell>18</cell><cell>Altit. of the Star</cell><cell>79</cell><cell>30</cell></row><row><cell><emph type="italics"/>Hainzel.<emph.end type="italics"/></cell><cell></cell><cell>48</cell><cell>22</cell><cell></cell><cell>36</cell><cell>34</cell></row><row><cell></cell><cell></cell><cell>2</cell><cell>56</cell><cell></cell><cell>2</cell><cell>56</cell></row><row><cell></cell><cell></cell><cell><emph type="italics"/>gr.<emph.end type="italics"/></cell><cell><emph type="italics"/>m.<emph.end type="italics"/></cell><cell></cell><cell><emph type="italics"/>gr.<emph.end type="italics"/></cell><cell><emph type="italics"/>m.<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>Camerar.<emph.end type="italics"/></cell><cell>Polar altit.</cell><cell>52</cell><cell>24</cell><cell>Altit. of the Star</cell><cell>24</cell><cell>17</cell></row><row><cell><emph type="italics"/>Hagecius<emph.end type="italics"/></cell><cell></cell><cell>48</cell><cell>22</cell><cell></cell><cell>20</cell><cell>15</cell></row><row><cell></cell><cell></cell><cell>4</cell><cell>2</cell><cell></cell><cell>4</cell><cell>2</cell></row></table><p type="main"><s>Of the remaining combinations that might be made of the Ob

<pb xlink:href="040/01/303.jpg" pagenum="283"/><row><cell></cell><cell></cell><cell><emph type="italics"/>gr.<emph.end type="italics"/></cell><cell><emph type="italics"/>m.<emph.end type="italics"/></cell><cell></cell><cell><emph type="italics"/>gr.<emph.end type="italics"/></cell><cell><emph type="italics"/>m.<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>Reinhold.<emph.end type="italics"/></cell><cell>Polar altit.</cell><cell>51</cell><cell>18</cell><cell>Altit. of the Star</cell><cell>79</cell><cell>30</cell></row><row><cell><emph type="italics"/>Hainzel.<emph.end type="italics"/></cell><cell></cell><cell>48</cell><cell>22</cell><cell></cell><cell>36</cell><cell>34</cell></row><row><cell></cell><cell></cell><cell>2</cell><cell>56</cell><cell></cell><cell>2</cell><cell>56</cell></row><row><cell></cell><cell></cell><cell><emph type="italics"/>gr.<emph.end type="italics"/></cell><cell><emph type="italics"/>m.<emph.end type="italics"/></cell><cell></cell><cell><emph type="italics"/>gr.<emph.end type="italics"/></cell><cell><emph type="italics"/>m.<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>Camerar.<emph.end type="italics"/></cell><cell>Polar altit.</cell><cell>52</cell><cell>24</cell><cell>Altit. of the Star</cell><cell>24</cell><cell>17</cell></row><row><cell><emph type="italics"/>Hagecius<emph.end type="italics"/></cell><cell></cell><cell>48</cell><cell>22</cell><cell></cell><cell>20</cell><cell>15</cell></row><row><cell></cell><cell></cell><cell>4</cell><cell>2</cell><cell></cell><cell>4</cell><cell>2</cell></row></table><p type="main"><s>Of the remaining combinations that might be made of the Ob

<lb/>&longs;ervations of all the&longs;e A&longs;tronomers, tho&longs;e that make the Stars &longs;ub

<lb/>lime to an infinite di&longs;tance, are many in number, namely, about

<lb/>30. more than tho&longs;e who give the Star, by calculation, to be be

Line 14318

<pb pagenum="284"/><table><table.target id="table57"></table.target><row><cell></cell><cell></cell><cell><emph type="italics"/>gr.<emph.end type="italics"/></cell><cell><emph type="italics"/>m.<emph.end type="italics"/></cell><cell></cell><cell><emph type="italics"/>gr.<emph.end type="italics"/></cell><cell><emph type="italics"/>m.<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>Landgrave<emph.end type="italics"/></cell><cell>Polar altit.</cell><cell>51</cell><cell>18</cell><cell>Altit. of the Star</cell><cell>79</cell><cell>30</cell></row><row><cell><emph type="italics"/>Gemma<emph.end type="italics"/></cell><cell></cell><cell>50</cell><cell>50</cell><cell></cell><cell>79</cell><cell>45</cell></row></table><p type="main"><s>The other two are the&longs;e below.

<pb xlink:href="040/01/304.jpg" pagenum="284"/><table><table.target id="table57"></table.target><row><cell></cell><cell></cell><cell><emph type="italics"/>gr.<emph.end type="italics"/></cell><cell><emph type="italics"/>m.<emph.end type="italics"/></cell><cell></cell><cell><emph type="italics"/>gr.<emph.end type="italics"/></cell><cell><emph type="italics"/>m.<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>Landgrave<emph.end type="italics"/></cell><cell>Polar altit.</cell><cell>51</cell><cell>18</cell><cell>Altit. of the Star</cell><cell>79</cell><cell>30</cell></row><row><cell><emph type="italics"/>Gemma<emph.end type="italics"/></cell><cell></cell><cell>50</cell><cell>50</cell><cell></cell><cell>79</cell><cell>45</cell></row></table><p type="main"><s>The other two are the&longs;e below.

<lb/><arrow.to.target n="table58"></arrow.to.target></s></p><table><table.target id="table58"></table.target><row><cell></cell><cell></cell><cell><emph type="italics"/>gr.<emph.end type="italics"/></cell><cell><emph type="italics"/>m.<emph.end type="italics"/></cell><cell></cell><cell><emph type="italics"/>gr.<emph.end type="italics"/></cell><cell><emph type="italics"/>m.<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>Bu&longs;chius.<emph.end type="italics"/></cell><cell>Polar Altitude</cell><cell>51</cell><cell>10</cell><cell>Altit. of the Star</cell><cell>79</cell><cell>20</cell></row><row><cell><emph type="italics"/>Gemma.<emph.end type="italics"/></cell><cell></cell><cell>50</cell><cell>50</cell><cell></cell><cell>79</cell><cell>45</cell></row><row><cell><emph type="italics"/>Reinholdus.<emph.end type="italics"/></cell><cell>Polar Altitude</cell><cell>51</cell><cell>18</cell><cell>Altit. of the Star</cell><cell>79</cell><cell>30</cell></row><row><cell><emph type="italics"/>Gemma.<emph.end type="italics"/></cell><cell></cell><cell>50</cell><cell>50</cell><cell></cell><cell>79</cell><cell>45</cell></row></table><p type="main"><s>From what I have hitherto demon&longs;trated, you may gue&longs;&longs;e how

<lb/>much this fir&longs;t way of finding out the di&longs;tance of the Star, and

<lb/>proving it &longs;ublunary introduced by the Authour, maketh again&longs;t

Line 14353

<lb/>is taken, to have ob&longs;erved, in the Horizon, the di&longs;tance of the Vir

<pb pagenum="285"/>tical point in which the Star is, from the Meridian; Moreover,

<pb xlink:href="040/01/305.jpg" pagenum="285"/>tical point in which the Star is, from the Meridian; Moreover,

<lb/>after a con&longs;iderable interval of time, the operation mu&longs;t be re

<lb/>peated, and exact account kept of the time that pa&longs;&longs;ed, tru&longs;ting

<lb/>either to Dials, or to other ob&longs;ervations of the Stars. </s><s>Such an <emph type="italics"/>Olio<emph.end type="italics"/>

Line 14396

<lb/>have noted down in the&longs;e brief Calculations; For a full under

<pb pagenum="286"/>&longs;tanding of which, I ought fir&longs;t to adverti&longs;e you, that when ever

<pb xlink:href="040/01/306.jpg" pagenum="286"/>&longs;tanding of which, I ought fir&longs;t to adverti&longs;e you, that when ever

<lb/>the new Star, or other Phænomenon is near to the earth, turning

<lb/>with a Diurnal motion about the Pole, it will &longs;eem to be farther

<lb/>off from the &longs;aid Pole, whil&longs;t it is in the lower part of the Meridi

Line 14443

<lb/>the di&longs;tance of the &longs;tar from the <emph type="italics"/>Vertex,<emph.end type="italics"/> Moreover in the triangle

<pb pagenum="287"/>T I F, which is al&longs;o rectangular, there is known the angle F, ta

<pb xlink:href="040/01/307.jpg" pagenum="287"/>T I F, which is al&longs;o rectangular, there is known the angle F, ta

<lb/>ken by the parallax. </s><s>Then note in &longs;ome place apart the two an

<lb/>gles I O T and I F T, and of them take the &longs;ines, which are

<lb/>here &longs;et down to them, as you &longs;een. </s><s>And becau&longs;e in the triangle

Line 14476

<pb pagenum="288"/><table><table.target id="table59"></table.target><row><cell></cell><cell></cell><cell><emph type="italics"/>gr.<emph.end type="italics"/></cell><cell><emph type="italics"/>m.<emph.end type="italics"/></cell><cell></cell><cell></cell></row><row><cell>Angles</cell><cell>I O T</cell><cell>67</cell><cell>20</cell><cell>Sines</cell><cell>92276</cell></row><row><cell></cell><cell>I F T</cell><cell>0</cell><cell>20</cell><cell></cell><cell>582</cell></row></table><table><table.target id="table60"></table.target><row><cell>T I</cell><cell>T F</cell><cell>T I</cell><cell>T F</cell></row><row><cell>582</cell><cell>10000</cell><cell>92276</cell><cell>0</cell></row></table><table><table.target id="table61"></table.target><row><cell></cell><cell>15854982</cell><cell></cell></row><row><cell>582</cell><cell>9227600000</cell><cell></cell></row><row><cell></cell><cell>3407002746</cell><cell></cell></row><row><cell></cell><cell>49297867</cell><cell></cell></row><row><cell></cell><cell>325414</cell><cell></cell></row><row><cell>100000</cell><cell>158</cell><cell>54982</cell></row><row><cell></cell><cell>158</cell><cell></cell></row><row><cell>582</cell><cell>92276</cell><cell></cell></row><row><cell></cell><cell>34070</cell><cell></cell></row><row><cell></cell><cell>492</cell><cell></cell></row><row><cell></cell><cell>3</cell><cell></cell></row></table><p type="main"><s>See next that which the ob&longs;ervations of <emph type="italics"/>Peucerus<emph.end type="italics"/> giveth us, in

<pb xlink:href="040/01/308.jpg" pagenum="288"/><table><table.target id="table59"></table.target><row><cell></cell><cell></cell><cell><emph type="italics"/>gr.<emph.end type="italics"/></cell><cell><emph type="italics"/>m.<emph.end type="italics"/></cell><cell></cell><cell></cell></row><row><cell>Angles</cell><cell>I O T</cell><cell>67</cell><cell>20</cell><cell>Sines</cell><cell>92276</cell></row><row><cell></cell><cell>I F T</cell><cell>0</cell><cell>20</cell><cell></cell><cell>582</cell></row></table><table><table.target id="table60"></table.target><row><cell>T I</cell><cell>T F</cell><cell>T I</cell><cell>T F</cell></row><row><cell>582</cell><cell>10000</cell><cell>92276</cell><cell>0</cell></row></table><table><table.target id="table61"></table.target><row><cell></cell><cell>15854982</cell><cell></cell></row><row><cell>582</cell><cell>9227600000</cell><cell></cell></row><row><cell></cell><cell>3407002746</cell><cell></cell></row><row><cell></cell><cell>49297867</cell><cell></cell></row><row><cell></cell><cell>325414</cell><cell></cell></row><row><cell>100000</cell><cell>158</cell><cell>54982</cell></row><row><cell></cell><cell>158</cell><cell></cell></row><row><cell>582</cell><cell>92276</cell><cell></cell></row><row><cell></cell><cell>34070</cell><cell></cell></row><row><cell></cell><cell>492</cell><cell></cell></row><row><cell></cell><cell>3</cell><cell></cell></row></table><p type="main"><s>See next that which the ob&longs;ervations of <emph type="italics"/>Peucerus<emph.end type="italics"/> giveth us, in

<lb/>which the inferiour di&longs;tance from the Pole is 28 <emph type="italics"/>gr. </s><s>21 m.<emph.end type="italics"/> and the

<lb/>&longs;uperiour 28 <emph type="italics"/>gr. </s><s>2 m.<emph.end type="italics"/> the difference 0 <emph type="italics"/>gr. </s><s>19 m.<emph.end type="italics"/> and the di&longs;tance

<lb/>from the vertical point 66 <emph type="italics"/>gr. </s><s>27 m.<emph.end type="italics"/> from which particulars is ga

Line 14498

<pb pagenum="289"/><table><table.target id="table66"></table.target><row><cell></cell><cell></cell><cell><emph type="italics"/>gr.<emph.end type="italics"/></cell><cell><emph type="italics"/>m.<emph.end type="italics"/></cell><cell></cell><cell></cell></row><row><cell>Angles</cell><cell>I A C</cell><cell>66</cell><cell>58</cell><cell>Sines</cell><cell>92026</cell></row><row><cell></cell><cell>I E C</cell><cell>0</cell><cell>4</cell><cell></cell><cell>116</cell></row></table><table><table.target id="table67"></table.target><row><cell></cell><cell>793 38/116</cell></row><row><cell>116</cell><cell>92026</cell></row><row><cell></cell><cell>10888</cell></row><row><cell></cell><cell>33</cell></row></table><p type="main"><s>From the following ob&longs;ervation of the <emph type="italics"/>Landgrave,<emph.end type="italics"/> the di&longs;tance

<pb xlink:href="040/01/309.jpg" pagenum="289"/><table><table.target id="table66"></table.target><row><cell></cell><cell></cell><cell><emph type="italics"/>gr.<emph.end type="italics"/></cell><cell><emph type="italics"/>m.<emph.end type="italics"/></cell><cell></cell><cell></cell></row><row><cell>Angles</cell><cell>I A C</cell><cell>66</cell><cell>58</cell><cell>Sines</cell><cell>92026</cell></row><row><cell></cell><cell>I E C</cell><cell>0</cell><cell>4</cell><cell></cell><cell>116</cell></row></table><table><table.target id="table67"></table.target><row><cell></cell><cell>793 38/116</cell></row><row><cell>116</cell><cell>92026</cell></row><row><cell></cell><cell>10888</cell></row><row><cell></cell><cell>33</cell></row></table><p type="main"><s>From the following ob&longs;ervation of the <emph type="italics"/>Landgrave,<emph.end type="italics"/> the di&longs;tance

<lb/>of the Star from the Centre is made to be 1057, Semidiameters.

<lb/><arrow.to.target n="table69"></arrow.to.target></s></p><table><table.target id="table68"></table.target><row><cell></cell><cell></cell><cell><emph type="italics"/>gr.<emph.end type="italics"/></cell><cell><emph type="italics"/>m.<emph.end type="italics"/></cell><cell></cell><cell></cell></row><row><cell>Angles</cell><cell>I A C</cell><cell>66</cell><cell>57</cell><cell>Sines</cell><cell>92012</cell></row><row><cell></cell><cell>I E C</cell><cell>0</cell><cell>3</cell><cell></cell><cell>87</cell></row></table><table><table.target id="table69"></table.target><row><cell></cell><cell>1057 53/87</cell></row><row><cell>87</cell><cell>92012</cell></row><row><cell></cell><cell>5663</cell></row><row><cell></cell><cell>5</cell></row></table><p type="main"><s>Two of the mo&longs;t favourable ob&longs;ervations for the Authour be

Line 14525

<lb/>work touching the elevating a <emph type="italics"/>Phæuomenon<emph.end type="italics"/> above the Horizon

<pb pagenum="290"/>more than truth, when it is before hand 23. or 24. Degrees high,

<pb xlink:href="040/01/310.jpg" pagenum="290"/>more than truth, when it is before hand 23. or 24. Degrees high,

<lb/>would be the le&longs;&longs;ening its <emph type="italics"/>Parallax<emph.end type="italics"/> about 3. minutes, the which

<lb/>abatement is too &longs;mall to pull down the Star below the Moon, and

<lb/>in &longs;ome ca&longs;es is le&longs;&longs;e than the advantage given him by us in admit

Line 14571

<lb/>bable) was that caution wanting in the Ob&longs;ervators.</s></p><p type="main"><s>SAGR. </s><s>This argument is in my judgment &longs;ufficiently an&longs;wer

<pb pagenum="291"/>ed; therefore tell me how he di&longs;-ingageth him&longs;elf in the next place

<pb xlink:href="040/01/311.jpg" pagenum="291"/>ed; therefore tell me how he di&longs;-ingageth him&longs;elf in the next place

<lb/>from that particular of the Stars having con&longs;tantly kept the &longs;ame

<lb/>di&longs;tance from the fixed Stars circumjacent to it.</s></p><p type="main"><s>SALV. </s><s>He betakes him&longs;elf, in like manner, to two threads, yet

<lb/>more unable to uphold him than the former: one of which is like

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<lb/>falleth perpendicularly upon the &longs;aid plane, but inclineth, making

<pb pagenum="292"/>the angle towards the circumference &longs;omething acute. </s><s>But wholly

<pb xlink:href="040/01/312.jpg" pagenum="292"/>the angle towards the circumference &longs;omething acute. </s><s>But wholly

<lb/>to free this Authour from the&longs;e unhappy lies, let him know, (in re

<lb/>gard it appears that he is not very skilful in the u&longs;e of A&longs;tronomi

<lb/>call In&longs;truments) that in the &longs;ides of the Sextant or Quadrant

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<lb/>come &longs;trongly provided, and particularly with the &longs;word and

<pb pagenum="293"/>buckler of the little Treati&longs;e of <emph type="italics"/>Conclu&longs;ions,<emph.end type="italics"/> or Di&longs;qui&longs;itions Ma

<pb xlink:href="040/01/313.jpg" pagenum="293"/>buckler of the little Treati&longs;e of <emph type="italics"/>Conclu&longs;ions,<emph.end type="italics"/> or Di&longs;qui&longs;itions Ma

<lb/>thematical, the oppugnations of which it would be good to be

<lb/>gin to produce.</s></p><p type="main"><s>SIMP. </s><s>I will, if you &longs;o plea&longs;e, re&longs;erve them to the la&longs;t, as tho&longs;e

<lb/>that are of late&longs;t invention.</s></p><p type="main"><s>SALV. </s><s>It will therefore be nece&longs;&longs;ary, that in conformity to the

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<lb/>infinite.<emph.end type="italics"/></s></p><p type="main"><s>SIMP. </s><s>That the world is finite, terminato, and &longs;pherical, <emph type="italics"/>Ari-<emph.end type="italics"/>

<pb pagenum="294"/><emph type="italics"/>&longs;totle<emph.end type="italics"/> proveth with an hundred demon&longs;trations.

<pb xlink:href="040/01/314.jpg" pagenum="294"/><emph type="italics"/>&longs;totle<emph.end type="italics"/> proveth with an hundred demon&longs;trations.

<lb/><arrow.to.target n="marg516"></arrow.to.target></s></p><p type="margin"><s><margin.target id="marg516"></margin.target><emph type="italics"/>The Demon&longs;tra

<lb/>tions of<emph.end type="italics"/> Ari&longs;totle

<lb/><emph type="italics"/>to Prove that the

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<lb/>no &longs;en&longs;ible notice beyond the fixed &longs;tars) as being of a &longs;pherical

<pb pagenum="295"/>figure; and moveth circularly, hath nece&longs;&longs;arily, and in re&longs;pect of

<pb xlink:href="040/01/315.jpg" pagenum="295"/>figure; and moveth circularly, hath nece&longs;&longs;arily, and in re&longs;pect of

<lb/>its figure a centre; and we being moreover certain, that within

<lb/>the &longs;tarry Sphere there are many Orbs, the one within another,

<lb/>with their &longs;tars, which likewi&longs;e do move circulary, it is in di&longs;pute

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<lb/></s><s>Tonchiug the Moon it is certain, that &longs;he cannot in any way

<pb pagenum="296"/>&longs;eperate from the Earth, for the rea&longs;ons that &longs;hall be more di&longs;tinct

<pb xlink:href="040/01/316.jpg" pagenum="296"/>&longs;eperate from the Earth, for the rea&longs;ons that &longs;hall be more di&longs;tinct

<lb/>ly alledged hereafter.</s></p><p type="margin"><s><margin.target id="marg522"></margin.target><emph type="italics"/>The mutation

<lb/>of figure in<emph.end type="italics"/> Venus

<lb/><emph type="italics"/>argueth its motion

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<lb/>be O.</s></p><p type="main"><s>SALV. </s><s>The&longs;e two being con&longs;tituted, I de&longs;ire that we may

<pb pagenum="297"/>think of accomodating the body of <emph type="italics"/>Venus<emph.end type="italics"/> in &longs;uch a manner that

<pb xlink:href="040/01/317.jpg" pagenum="297"/>think of accomodating the body of <emph type="italics"/>Venus<emph.end type="italics"/> in &longs;uch a manner that

<lb/>its &longs;tate and motion may agree with what &longs;en&longs;ible experiments do

<lb/>&longs;hew us; and therefore recall to mind that. </s><s>which either by the

<lb/>pa&longs;t di&longs;cour&longs;es, or your own ob&longs;ervations you have learnt to be

<lb/>fal that &longs;tar, and afterwards a&longs;&longs;ign unto it that &longs;tate which you

<lb/>think agreeth with the &longs;ame.</s></p><p type="main"><s>SIMP. </s><s>Suppo&longs;ing tho&longs;e <emph type="italics"/>Phænomena<emph.end type="italics"/> expre&longs;&longs;ed by you, and

<lb/>which I have likewi&longs;e read in the little treati&longs;e of Conclu&longs;ions, to

<lb/>be true, namely, that that &longs;tar never recedes from the Sun beyond

<lb/>&longs;uch a determinate &longs;pace of 40 degrees or thereabouts, &longs;o as that

<lb/>it never cometh either to appo&longs;ition with the Sun, or &longs;o much as

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<lb/>the ve&longs;pertine conjnnction of the Sun, and very &longs;mall when with a

<pb pagenum="298"/>motion &longs;traight forwards, it goeth to the matutine conjunction;

<pb xlink:href="040/01/318.jpg" pagenum="298"/>motion &longs;traight forwards, it goeth to the matutine conjunction;

<lb/>and moreover it being true, that when it appeareth bigge it &longs;hews

<lb/>with a corniculate figure, and when it appeareth little, it &longs;eems

<lb/>perfectly round, the&longs;e appearances, I &longs;ay, being true, I do not &longs;ee

Line 14965

<lb/><emph type="italics"/>Mars,<emph.end type="italics"/> and with yet le&longs;&longs;e in <emph type="italics"/>Saturn<emph.end type="italics"/> than in <emph type="italics"/>Jupiter<emph.end type="italics"/>; me thinks I

<pb pagenum="299"/>under&longs;tand that we &longs;hould very commodiou&longs;ly &longs;alve all the <emph type="italics"/>Phæ

<pb xlink:href="040/01/319.jpg" pagenum="299"/>under&longs;tand that we &longs;hould very commodiou&longs;ly &longs;alve all the <emph type="italics"/>Phæ

<lb/>nomena<emph.end type="italics"/> of the&longs;e two Planets, with two Circles, in like manner,

<lb/>drawn about the Sun, and this fir&longs;t for <emph type="italics"/>Jupiter,<emph.end type="italics"/> marking it E L, and

<lb/>another above that for <emph type="italics"/>Saturn<emph.end type="italics"/> marked F M.

Line 15037

<lb/><emph type="italics"/>Venus,<emph.end type="italics"/> you have a&longs;cribed the circular motion about the Sun,

<pb pagenum="300"/>without encompa&longs;&longs;ing the Earth; about the &longs;ame Sun you make

<pb xlink:href="040/01/320.jpg" pagenum="300"/>without encompa&longs;&longs;ing the Earth; about the &longs;ame Sun you make

<lb/>the three &longs;uperiour Planets <emph type="italics"/>Mars, Jupiter,<emph.end type="italics"/> and <emph type="italics"/>Saturn,<emph.end type="italics"/> to move,

<lb/>comprehending the Earth within their circles. </s><s>The Moon in the

<lb/>next place can move in no other manner than about the Earth,

Line 15101

<lb/>be per&longs;waded to hearken, (I will not &longs;ay to con&longs;ent) to this novel

<pb pagenum="301"/>ty, I believe that you wonder at the paucity of tho&longs;e who are fol

<pb xlink:href="040/01/321.jpg" pagenum="301"/>ty, I believe that you wonder at the paucity of tho&longs;e who are fol

<lb/>lowers of that opinion would be much dimini&longs;hed. </s><s>But &longs;mall re

<lb/>gard in my judgement, ought to be had of &longs;uch thick &longs;culs, as think

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<pb pagenum="302"/><p type="main"><s>SALV. </s><s>I am ready to &longs;erve you. </s><s>You have already &longs;een me

<pb xlink:href="040/01/322.jpg" pagenum="302"/><p type="main"><s>SALV. </s><s>I am ready to &longs;erve you. </s><s>You have already &longs;een me

<lb/>draw the form of the <emph type="italics"/>Copernican<emph.end type="italics"/> Sy&longs;teme; again&longs;t the truth of

<lb/>which <emph type="italics"/>Mars<emph.end type="italics"/> him&longs;elf, in the fir&longs;t place, makes an hot charge; who, in

Line 15212

<lb/>yet notwith&longs;tanding by other admirable occurrences been induced

<pb pagenum="303"/>to con&longs;ide &longs;o much in that which rea&longs;on dictated to them, as that

<pb xlink:href="040/01/323.jpg" pagenum="303"/>to con&longs;ide &longs;o much in that which rea&longs;on dictated to them, as that

<lb/>they have con&longs;idently affirmed that the &longs;tructure of the Univer&longs;e

<lb/>could have no other figure than that which they de&longs;igned to them

<lb/>&longs;elves. </s><s>There are al&longs;o &longs;everal other very &longs;erious and curious doubts,

Line 15286

<lb/>under&longs;tand that of which we now &longs;peak.</s></p>

<pb pagenum="304"/><p type="main"><s>SIMP. </s><s>I mu&longs;t confe&longs;&longs;e that all that which <emph type="italics"/>Salviatus<emph.end type="italics"/> hath &longs;po

<pb xlink:href="040/01/324.jpg" pagenum="304"/><p type="main"><s>SIMP. </s><s>I mu&longs;t confe&longs;&longs;e that all that which <emph type="italics"/>Salviatus<emph.end type="italics"/> hath &longs;po

<lb/>ken is new unto me, for truth is, I never have had the curio&longs;ity to

<lb/>read tho&longs;e Books, nor have I hitherto given any great credit to

<lb/>the Tele&longs;cope newly introduced; rather treading in the &longs;teps of o

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<lb/>ment to <emph type="italics"/>Simplicius.<emph.end type="italics"/> And proceeding forwards, if we &longs;hould add

<pb pagenum="305"/>the &longs;aid irradiation of four inches to a circle that hath but two in

<pb xlink:href="040/01/325.jpg" pagenum="305"/>the &longs;aid irradiation of four inches to a circle that hath but two in

<lb/>ches of diameter onely, the diameter of the irradiation or Gar

<lb/>land would be ten inches, and the &longs;uperficial content of the circle

<lb/>would be to the <emph type="italics"/>area<emph.end type="italics"/> of the naked body, as 100. to 4. for tho&longs;e

Line 15400

<lb/>truth by another experiment which I have often made triall of;

<lb/>we may a&longs;&longs;ure our &longs;elves, I &longs;ay, that bodies &longs;hining with mo&longs;t| live

<lb/>ly light do irradiate, or beam forth rayes more by far than tho&longs;e

<lb/>that are of a more langui&longs;hing light. </s><s>I have many times &longs;een <emph type="italics"/>Ju

Line 15475

<lb/>&longs;aying, that <emph type="italics"/>Venus<emph.end type="italics"/> revolveth about the Sun, and is more than &longs;ix

<pb pagenum="307"/>times farther from us at one time, than at another; and al&longs;o &longs;eem

<pb xlink:href="040/01/327.jpg" pagenum="307"/>times farther from us at one time, than at another; and al&longs;o &longs;eem

<lb/>eth to be alwayes of an equal bigne&longs;s, although it ought to &longs;hew

<lb/>forty times bigger when neare&longs;t to us, than when farthe&longs;t off.</s></p><p type="main"><s>SAGR. </s><s>But in <emph type="italics"/>Jupiter, Saturn<emph.end type="italics"/> and <emph type="italics"/>Mercury,<emph.end type="italics"/> I believe that

<lb/>the differences of their apparent magnitudes, &longs;hould &longs;eem punctu

Line 15528

<lb/>piter<emph.end type="italics"/> be ob&longs;erved to be horned; and in a word they would, to

<pb pagenum="308"/>the ob&longs;ervators &longs;tanding in <emph type="italics"/>Jupiter,<emph.end type="italics"/> make the &longs;elf &longs;ame changes

<pb xlink:href="040/01/328.jpg" pagenum="308"/>the ob&longs;ervators &longs;tanding in <emph type="italics"/>Jupiter,<emph.end type="italics"/> make the &longs;elf &longs;ame changes

<lb/>of Figure, that to us upon the Earth, the Moon doth make. </s><s>You

<lb/>&longs;ee now how the&longs;e three things, which at &longs;ir&longs;t &longs;eémed di&longs;&longs;onant,

<lb/>do admirably accord with the <emph type="italics"/>Copernican<emph.end type="italics"/> Sy&longs;teme. </s><s>Here al&longs;o by

Line 15582

<lb/>tion al&longs;o, he began to compare the appearances, and particulari

<pb pagenum="309"/>ties of the Planets motions, with the&longs;e two new &longs;uppo&longs;itions, all

<pb xlink:href="040/01/329.jpg" pagenum="309"/>ties of the Planets motions, with the&longs;e two new &longs;uppo&longs;itions, all

<lb/>which things jumpt exactly with his purpo&longs;e; and &longs;eeing the whole

<lb/>corre&longs;pond, with admirable facility to its parts, he imbraced this

<lb/>new Sy&longs;teme, and it took up his re&longs;t.</s></p><p type="margin"><s><margin.target id="marg567"></margin.target>Copernicus <emph type="italics"/>re

Line 15640

<lb/><emph type="italics"/>Venus,<emph.end type="italics"/> which is 9. moneths, in that of <emph type="italics"/>Mercury,<emph.end type="italics"/> which is 80.

<pb pagenum="310"/>dayes, or thereabouts, the &longs;ole annual motion of the Earth be

<pb xlink:href="040/01/330.jpg" pagenum="310"/>dayes, or thereabouts, the &longs;ole annual motion of the Earth be

<lb/>tween <emph type="italics"/>Mars<emph.end type="italics"/> and <emph type="italics"/>Venus,<emph.end type="italics"/> cau&longs;eth the apparent inequalities in all </s></p><p type="main"><s><arrow.to.target n="marg571"></arrow.to.target>

<lb/>the five &longs;tars before named. </s><s>And for a facile and full under

<lb/>&longs;tanding of the whole, I will de&longs;cribe this figure of it. </s><s>There

Line 15648

<lb/>we will draw the Orb de&longs;cribed by the Earth, with the an

<lb/>nual motion B G M, and let the circle de&longs;cribed, <emph type="italics"/>v. </s><s>gr.<emph.end type="italics"/> by

<lb/><emph type="italics"/>Jupiter<emph.end type="italics"/> about the Sun in 12. years, be this BGM, and in the

<lb/>&longs;tarry &longs;phere let us imagine the Zodiack Y V S. Again, in the

<lb/>annual Orb of the Earth let us take certain equal arches, B C,

Line 15662

<lb/>in B, it &longs;hall appear to us in the Zodiack to be in P, de&longs;cribing

<pb pagenum="311"/>the right line B B P. </s><s>Next &longs;uppo&longs;e the Earth to be moved from

<pb xlink:href="040/01/331.jpg" pagenum="311"/>the right line B B P. </s><s>Next &longs;uppo&longs;e the Earth to be moved from

<lb/>B to C, and <emph type="italics"/>Jupiter<emph.end type="italics"/> from B to C, in the &longs;ame time; <emph type="italics"/>Iupiter<emph.end type="italics"/>

<lb/>&longs;hall appear to have pa&longs;&longs;ed in the Zodiack to Q, and to have

<lb/>moved &longs;traight forwards, according to the order of the &longs;ignes

Line 15711

<lb/>motion of the &longs;aid Earth, as <emph type="italics"/>Copernicus<emph.end type="italics"/> exellently demon&longs;trateth,

<pb pagenum="312"/>together with <emph type="italics"/>Appollonius Pergæus<emph.end type="italics"/> in <emph type="italics"/>lib.<emph.end type="italics"/> 5. of his Revolutions,

<pb xlink:href="040/01/332.jpg" pagenum="312"/>together with <emph type="italics"/>Appollonius Pergæus<emph.end type="italics"/> in <emph type="italics"/>lib.<emph.end type="italics"/> 5. of his Revolutions,

<lb/><emph type="italics"/>Chap.<emph.end type="italics"/> 35.</s></p><p type="margin"><s><margin.target id="marg571"></margin.target><emph type="italics"/>The &longs;ole annual

<lb/>motion of the

<lb/>Earth cau&longs;eth

Line 15792

<lb/>tho&longs;e &longs;o incon&longs;tant mutations did &longs;omewhat alter the primary pe

<pb pagenum="313"/>riodick cour&longs;e of the &longs;aid &longs;pots, yet did they not alter the opini

<pb xlink:href="040/01/333.jpg" pagenum="313"/>riodick cour&longs;e of the &longs;aid &longs;pots, yet did they not alter the opini

<lb/>on of our friend, &longs;o as to make him believe, that they were any

<lb/>e&longs;&longs;ential and fixed cau&longs;e of tho&longs;e deviations, but he continued to

<lb/>hold, that all the apparent alterations derived them&longs;elves from

Line 15853

<lb/>turneth be not erect perpendicularly to the plane of the Eclip

<lb/>tick, but is inclined upon the &longs;ame, as its crooked cour&longs;e, but e

<lb/>ven now ob&longs;erved, makes me believe, we &longs;hall be able to make

<lb/>&longs;uch conjectures of the &longs;tates of the Sun and Earth, as neither &longs;o

Line 15902

<lb/>ing as the pendency &longs;hall &longs;ucce&longs;&longs;ively dimini&longs;h, and make its ap

<pb pagenum="315"/>proach towards the <emph type="italics"/>Æquilibrium,<emph.end type="italics"/> the incurvation of the arches

<pb xlink:href="040/01/335.jpg" pagenum="315"/>proach towards the <emph type="italics"/>Æquilibrium,<emph.end type="italics"/> the incurvation of the arches

<lb/>of the cour&longs;es on the contrary &longs;hall, by degrees, increa&longs;e.</s></p><p type="margin"><s><margin.target id="marg582"></margin.target><emph type="italics"/>A concipt that

<lb/>came &longs;uddenly in

<lb/>to the minde of

Line 15964

<lb/>perficies (the Poles excepted) de&longs;cribeth the circumference of a

<pb pagenum="316"/>circle, either bigger or le&longs;&longs;er, according as it is more or le&longs;&longs;e re

<pb xlink:href="040/01/336.jpg" pagenum="316"/>circle, either bigger or le&longs;&longs;er, according as it is more or le&longs;&longs;e re

<lb/>mote from the &longs;aid Poles, let us take the point F, equally di&longs;tant

<lb/>from them, and draw the diameter F O G, which &longs;hall be perpen

<lb/>dicular to the Axis E I, and &longs;hall be the diameter of the grand

Line 16011

<lb/>and let us draw, as in the other figure, the terminator A B C D,

<pb pagenum="317"/>[<emph type="italics"/>as in Fig.<emph.end type="italics"/> 5.] and the Axis, as before A C, by which the plane

<pb xlink:href="040/01/337.jpg" pagenum="317"/>[<emph type="italics"/>as in Fig.<emph.end type="italics"/> 5.] and the Axis, as before A C, by which the plane

<lb/>of our Meridian would pa&longs;&longs;e, in which plane &longs;hould al&longs;o be the

<lb/>Axis of the Suns revolution, with its Poles, one towards us, that

<lb/>is, in the apparent Hemi&longs;phere, which Pole we will repre&longs;ent by

Line 16058

<lb/>from the left hand of the beholder, and going to determine, de&longs;

<pb pagenum="318"/>&longs;cending towards the right, in the point F. </s><s>What I have hi

<pb xlink:href="040/01/338.jpg" pagenum="318"/>&longs;cending towards the right, in the point F. </s><s>What I have hi

<lb/>therto &longs;aid, being under&longs;tood, I believe that there remains no

<lb/>difficulty in conceiving how &longs;rom the pa&longs;&longs;ing of the terminator of

<lb/>the Solar Hemi&longs;pheres by the Poles of the Suns conver&longs;ion, or

Line 16110

<lb/>though I am not an ab&longs;olute ma&longs;ter of the &longs;ubject of that narra

<pb pagenum="319"/>tion given us by <emph type="italics"/>Salviatus<emph.end type="italics"/>; yet do I not find that my Logick, </s></p><p type="main"><s><arrow.to.target n="marg586"></arrow.to.target>

<pb xlink:href="040/01/339.jpg" pagenum="319"/>tion given us by <emph type="italics"/>Salviatus<emph.end type="italics"/>; yet do I not find that my Logick, </s></p><p type="main"><s><arrow.to.target n="marg586"></arrow.to.target>

<lb/>whil&longs;t I have a regard to form, teacheth me, that that kind of ar

<lb/>gumentation affords me any nece&longs;&longs;ary rea&longs;on to conclude in fa

<lb/>vour of the <emph type="italics"/>Copernican<emph.end type="italics"/> Hypothe&longs;is, that is, of the &longs;tability of

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<lb/>between tho&longs;e two others, we have not been able to find out an

<pb pagenum="320"/>an&longs;wer that &longs;ufficeth to &longs;atis&longs;ie at once the cour&longs;e of the &longs;pots,

<pb xlink:href="040/01/340.jpg" pagenum="320"/>an&longs;wer that &longs;ufficeth to &longs;atis&longs;ie at once the cour&longs;e of the &longs;pots,

<lb/>and the di&longs;cour&longs;e of the Mind. </s><s>I will explain unto you &longs;o much

<lb/>as I remember thereof, that &longs;o you may judge thereon as &longs;eems

<lb/>be&longs;t unto you.</s></p><p type="margin"><s><margin.target id="marg587"></margin.target><emph type="italics"/>The Pure<emph.end type="italics"/> Peri

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<lb/>cour&longs;es them&longs;elves do manife&longs;tly evince at &longs;uch time as they are

<pb pagenum="321"/>equilibrated, and in their greate&longs;t curvity, one while with

<pb xlink:href="040/01/341.jpg" pagenum="321"/>equilibrated, and in their greate&longs;t curvity, one while with

<lb/>their convexity towards the upper part, and another while

<lb/>towards the lower part of the Solar <emph type="italics"/>Di&longs;cus.<emph.end type="italics"/> And becau&longs;e

<lb/>tho&longs;e po&longs;itions are in continuall alteration, making the in

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<lb/>Globe, may &longs;o ea&longs;ily &longs;alve &longs;o many extravagant appearances in

<pb pagenum="322"/>the motions of the Solar &longs;pots, it &longs;eemeth really that &longs;uch an

<pb xlink:href="040/01/342.jpg" pagenum="322"/>the motions of the Solar &longs;pots, it &longs;eemeth really that &longs;uch an

<lb/>Hypothe&longs;is ought not to be rejected.</s></p><p type="margin"><s><margin.target id="marg588"></margin.target><emph type="italics"/>If the Earth be

<lb/>immoveable in the

<lb/>centre of the Zodi

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<lb/>be fal&longs;e, it is a thing impo&longs;&longs;ible that (alwayes confining our &longs;elves

<pb pagenum="323"/>within the limits of humane doctrine) the rea&longs;ons alledged for

<pb xlink:href="040/01/343.jpg" pagenum="323"/>within the limits of humane doctrine) the rea&longs;ons alledged for

<lb/>the true Hypothe&longs;is &longs;hould not manife&longs;t them&longs;elves as concludent

<lb/>as tho&longs;e for the contrary vain and ineffectual.</s></p><p type="main"><s>SAGR. </s><s>It will be time therefore, that we hear the objections

<lb/>of the little Book of^{*} <emph type="italics"/>Conclu&longs;ions,<emph.end type="italics"/> or Di&longs;qui&longs;itions which <emph type="italics"/>Simpli-<emph.end type="italics"/>

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<lb/>cus.</s></p><p type="main"><s>SALV. </s><s>Every thing plea&longs;eth me, except it be his having inter

<pb pagenum="324"/>mixed places out of the &longs;acred Scriptures (alwayes venerable, and

<pb xlink:href="040/01/344.jpg" pagenum="324"/>mixed places out of the &longs;acred Scriptures (alwayes venerable, and

<lb/>to be rever'd) among&longs;t the&longs;e, but two &longs;currilous fooleries, and

<lb/>attempting to wound with holy Weapons, tho&longs;e who Philo&longs;o

<lb/>phating in je&longs;t, and for diverti&longs;ement, neither affirm nor deny,

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<lb/></s><s>But for your better information; <emph type="italics"/>Copernicus<emph.end type="italics"/> having declared

<pb pagenum="325"/>tho&longs;e admirable con&longs;equences which are derived from the Earths

<pb xlink:href="040/01/345.jpg" pagenum="325"/>tho&longs;e admirable con&longs;equences which are derived from the Earths

<lb/>annual motion, to the other Planets, that is to &longs;ay, of the ^{*} directi

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<lb/>of the &longs;ixth magnitude, is 2160. Semidiameters of the grand

<pb pagenum="326"/>Orb. </s><s>And becau&longs;e the di&longs;tance of the Sun from the Earth, con

<pb xlink:href="040/01/346.jpg" pagenum="326"/>Orb. </s><s>And becau&longs;e the di&longs;tance of the Sun from the Earth, con

<lb/>tains by common con&longs;ent 1208. Semidiameters of the &longs;aid Earth,

<lb/>and the di&longs;tance of the fixed Stars (as hath been &longs;aid) 2160.

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<lb/>times bigger, than when they are beheld, without tho&longs;e capilli

<pb pagenum="327"/>ous rayes, nor can this their inadvertency be excu&longs;ed, in regard

<pb xlink:href="040/01/347.jpg" pagenum="327"/>ous rayes, nor can this their inadvertency be excu&longs;ed, in regard

<lb/>that it was in their power to have beheld them at their plea&longs;ure

<lb/>without tho&longs;e tre&longs;&longs;es, which is done, by looking upon them at

<lb/>their fir&longs;t appearance in the evening, or their la&longs;t occultation in

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<lb/>thickne&longs;&longs;e of the rope, and which is like, yea the &longs;ame with the

<pb pagenum="328"/>angle in the Starry Sphere, that in&longs;i&longs;teth upon the diameter of

<pb xlink:href="040/01/348.jpg" pagenum="328"/>angle in the Starry Sphere, that in&longs;i&longs;teth upon the diameter of

<lb/>the Star, and by the proportion of the ropes thickne&longs;&longs;e to the

<lb/>di&longs;tance from the eye to the rope, by the table of Arches and

<lb/>Chords, I have immediately found the quantity of the angle; u

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<lb/>to me that the concour&longs;e of the rayes, for certain other re

<pb pagenum="329"/>&longs;pects ought to be made more and le&longs;&longs;e remote from the eye.</s></p><p type="main"><s>SALV. </s><s>I &longs;ee already, whither the apprehen&longs;ion of <emph type="italics"/>Sagredus,<emph.end type="italics"/>

<pb xlink:href="040/01/349.jpg" pagenum="329"/>&longs;pects ought to be made more and le&longs;&longs;e remote from the eye.</s></p><p type="main"><s>SALV. </s><s>I &longs;ee already, whither the apprehen&longs;ion of <emph type="italics"/>Sagredus,<emph.end type="italics"/>

<lb/>a mo&longs;t diligent ob&longs;erver of Natures &longs;ecrets, tendeth; and I

<lb/>would lay any wager, that among&longs;t the thou&longs;ands that have ob

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<lb/>the black &longs;lip of paper in the mid&longs;t would preci&longs;ely hide the op

<pb pagenum="330"/>po&longs;ite blank, if the &longs;ight were made in one onely point; but if we

<pb xlink:href="040/01/350.jpg" pagenum="330"/>po&longs;ite blank, if the &longs;ight were made in one onely point; but if we

<lb/>&longs;hould find, that the edges of the white cartel appear di&longs;covered,

<lb/>it &longs;hall be a nece&longs;&longs;ary argument that the vi&longs;ual rayes do not i&longs;&longs;ue

<lb/>from one &longs;ole point. </s><s>And to make the white label to be hid by

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<lb/>ceth in the Sun, which yet is ob&longs;ervable; &longs;o that neither that, no

<pb pagenum="331"/>nor a le&longs;&longs;e mutation being di&longs;cerned in the fixed Stars, methinks

<pb xlink:href="040/01/351.jpg" pagenum="331"/>nor a le&longs;&longs;e mutation being di&longs;cerned in the fixed Stars, methinks

<lb/>that by this means the annual motion of the Earth is de&longs;troyed

<lb/>and overthrown.</s></p><p type="main"><s>SALV. </s><s>You might very well &longs;o conclude, <emph type="italics"/>Simplicius,<emph.end type="italics"/> if we

<lb/>had nothing el&longs;e to &longs;ay in behalf of <emph type="italics"/>Copernicus<emph.end type="italics"/>: but we have

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<lb/>heard that <emph type="italics"/>Copernicus<emph.end type="italics"/> him&longs;elf made the Ob&longs;ervation.</s></p>

<pb pagenum="332"/><p type="main"><s>SALV. </s><s>You &longs;ay very well; but you alledge nothing in that

<pb xlink:href="040/01/352.jpg" pagenum="332"/><p type="main"><s>SALV. </s><s>You &longs;ay very well; but you alledge nothing in that

<lb/>which may favour the cau&longs;e of the <emph type="italics"/>Ptolom&oelig;ans<emph.end type="italics"/> in the lea&longs;t, who

<lb/>did never yet reject the motion of 36000. years in the &longs;tarry

<lb/>Sphere, for that the &longs;aid tardity would make it too va&longs;t and im

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<lb/>I ask of thee, O fooli&longs;h man! Doth thy imagination comprehend

<pb pagenum="333"/>that va&longs;t magnitude of the Univer&longs;e, which thou afterwards judg

<pb xlink:href="040/01/353.jpg" pagenum="333"/>that va&longs;t magnitude of the Univer&longs;e, which thou afterwards judg

<lb/>e&longs;t to be too immen&longs;e? </s><s>If thou comprehende&longs;t it; wilt thou

<lb/>hold that thy apprehen&longs;ion extendeth it &longs;elf farther than the Di

<lb/>vine Power? </s><s>wilt thou &longs;ay, that thou can&longs;t imagine greater

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<lb/>yet &longs;hould I not forbear to believe the rea&longs;ons laid before me by

<pb pagenum="334"/>&longs;ome more &longs;ublime intelligence. </s><s>In the mean time, if one

<pb xlink:href="040/01/354.jpg" pagenum="334"/>&longs;ome more &longs;ublime intelligence. </s><s>In the mean time, if one

<lb/>&longs;hould tell me, that an immen&longs;e &longs;pace interpo&longs;ed between the

<lb/>Orbs of the Planets and the Starry Sphere, deprived of &longs;tars and

<lb/>idle, would be vain and u&longs;ele&longs;&longs;e, as likewi&longs;e that &longs;o great an

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<lb/>divers others, may one while be called immen&longs;e, and another

<pb pagenum="335"/>while imperceptible, not to &longs;ay &longs;mall. </s><s>This being &longs;o, I demand

<pb xlink:href="040/01/355.jpg" pagenum="335"/>while imperceptible, not to &longs;ay &longs;mall. </s><s>This being &longs;o, I demand

<lb/>in relation to what the Starry Sphere of <emph type="italics"/>Copernicus<emph.end type="italics"/> may be cal

<lb/>led over va&longs;t. </s><s>In my judgment it cannot be compared, or &longs;aid

<lb/>to be &longs;uch, unle&longs;&longs;e it be in relation to &longs;ome other thing of the

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<lb/>Sun; when as they both are particular bodies &longs;ituate within the

<pb pagenum="336"/>Starry Orb: “And indeed in my opinion this Authour very

<pb xlink:href="040/01/356.jpg" pagenum="336"/>Starry Orb: “And indeed in my opinion this Authour very

<lb/>pertinently que&longs;tioneth and asketh: To what end, and

<lb/>for who&longs;e &longs;ake are &longs;uch huge machines made? </s><s>Were they

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<lb/>therefore it is nece&longs;&longs;ary that (contradicting your &longs;elf) you do

<pb pagenum="337"/>now deny their operation upon the the Earth; or el&longs;e that (&longs;till

<pb xlink:href="040/01/357.jpg" pagenum="337"/>now deny their operation upon the the Earth; or el&longs;e that (&longs;till

<lb/>contradicting your &longs;elf) you grant that their appearing very &longs;mall

<lb/>doth not in the lea&longs;t le&longs;&longs;en their influence; or el&longs;e that (and this

<lb/>&longs;hall be a more &longs;incere and mode&longs;t conce&longs;&longs;ion) you acknowledg

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<lb/>with&longs;tanding, as they &longs;ay, is altogether incredible.</s></p>

<pb pagenum="338"/><p type="margin"><s><margin.target id="marg636"></margin.target>Tycho <emph type="italics"/>nor his

<pb xlink:href="040/01/358.jpg" pagenum="338"/><p type="margin"><s><margin.target id="marg636"></margin.target>Tycho <emph type="italics"/>nor his

<lb/>followers ever at

<lb/>tempted to &longs;ee whe

<lb/>ther there are any

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<lb/>from what it is in Winter: and becau&longs;e <emph type="italics"/>Tycho<emph.end type="italics"/> denieth the merit

<pb pagenum="339"/>of the cau&longs;e, but findeth no fault with the method of it; that

<pb xlink:href="040/01/359.jpg" pagenum="339"/>of the cau&longs;e, but findeth no fault with the method of it; that

<lb/>is, denieth that there is any mutation to be &longs;een in the altitude of

<lb/>the Pole, but doth not blame the inqui&longs;ition, for not being adap

<lb/>ted to the finding of what is &longs;ought, he thereby &longs;heweth, that he

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<lb/>that tran&longs;po&longs;ition being common to you and to all Terre&longs;trial

<pb pagenum="340"/>things; and that motion where it is common, is as if it never

<pb xlink:href="040/01/360.jpg" pagenum="340"/>things; and that motion where it is common, is as if it never

<lb/>were; and as you change not habitude to the Terre&longs;trial Poles

<lb/>(habitude I &longs;ay, whether that they ri&longs;e, or de&longs;cend) &longs;o neither

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<lb/>of the Top-Gallant Top?</s></p>

<pb pagenum="341"/><p type="main"><s>SIMP. No: For the point would be changed, and would be

<pb xlink:href="040/01/361.jpg" pagenum="341"/><p type="main"><s>SIMP. No: For the point would be changed, and would be

<lb/>beneath the &longs;tar fir&longs;t ob&longs;erved.</s></p><p type="main"><s>SAGR. </s><s>You are in the right. </s><s>Now like as that which in this

<lb/>example an&longs;wereth to the elevation of the Top-Gallant-Top, is

<lb/>not the &longs;tar, but the point of the Firmament that lyeth in a right

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<lb/>more ado, that it would not retain the &longs;ame, in regard the pro

<pb pagenum="342"/>gre&longs;&longs;e I make is not <emph type="italics"/>in plano,<emph.end type="italics"/> but about the circumference of the

<pb xlink:href="040/01/362.jpg" pagenum="342"/>gre&longs;&longs;e I make is not <emph type="italics"/>in plano,<emph.end type="italics"/> but about the circumference of the

<lb/>Terre&longs;trial Globe, which at every &longs;tep changeth inclination in

<lb/>re&longs;pect to Heaven, and con&longs;equently maketh the &longs;ame change

<lb/>in the In&longs;trument which is erected upon the &longs;ame.</s></p><p type="main"><s>SAGR. </s><s>You &longs;ay very well: And you know withal, that by

Line 17497

<lb/>added withal, that I doubted lea&longs;t haply &longs;ome might never have

<pb pagenum="343"/>under&longs;tood what tho&longs;e mutations are, and among&longs;t what &longs;tars

<pb xlink:href="040/01/363.jpg" pagenum="343"/>under&longs;tood what tho&longs;e mutations are, and among&longs;t what &longs;tars

<lb/>they &longs;hould be di&longs;cerned; therefore it would be nece&longs;&longs;ary that

<lb/>we in the next place narrowly examine this particular. </s><s>My ha

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<lb/>could never get thorow my ^{*} Loom-Combe; and if you &longs;hall

<pb pagenum="344"/>untie it, I &longs;hall hold you for more than an <emph type="italics"/>Alexander.<emph.end type="italics"/></s></p><p type="margin"><s><margin.target id="marg650"></margin.target>* <emph type="italics"/>Bandola<emph.end type="italics"/> that

<pb xlink:href="040/01/364.jpg" pagenum="344"/>untie it, I &longs;hall hold you for more than an <emph type="italics"/>Alexander.<emph.end type="italics"/></s></p><p type="margin"><s><margin.target id="marg650"></margin.target>* <emph type="italics"/>Bandola<emph.end type="italics"/> that

<lb/>end of a skeen

<lb/>where with hou&longs;e

<lb/>wives fa&longs;ten their

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<lb/>whole Ecliptick in a year, the &longs;aid Axis de&longs;cribeth the &longs;uper

<pb pagenum="345"/>ficies of an oblique Cylinder, which hath for one of its ba&longs;es

<pb xlink:href="040/01/365.jpg" pagenum="345"/>ficies of an oblique Cylinder, which hath for one of its ba&longs;es

<lb/>the &longs;aid annual circle, and for the other a like circle imagina

<lb/>rily de&longs;cribed by its extremity, or, (if you will) Pole, among&longs;t

<lb/>the fixed &longs;tars. </s><s>And this &longs;ame cylinder is oblique to the Plane of

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<lb/>by the arch A N B, it is manife&longs;t that when it &longs;hall be in the

<pb pagenum="346"/>point N, and in any other except tho&longs;e two A and B, the &longs;aid

<pb xlink:href="040/01/366.jpg" pagenum="346"/>point N, and in any other except tho&longs;e two A and B, the &longs;aid

<lb/>&longs;tar &longs;hall no longer be ob&longs;erved in the line A B; but in others.

<lb/></s><s>So that, if the appearing under &longs;everal lines ought to cau&longs;e

<lb/>apparent mutations, &longs;ome difference mu&longs;t needs appear in

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<lb/>&longs;tand the nullity thereof.</s></p><p type="main"><s>SALV. </s><s>But yet I do not under&longs;tand how it can be, that you

<pb pagenum="347"/>&longs;pake not friendly, when you &longs;aid you did not know that &longs;ame

<pb xlink:href="040/01/367.jpg" pagenum="347"/>&longs;pake not friendly, when you &longs;aid you did not know that &longs;ame

<lb/>fallacy which you now confe&longs;&longs;e that you know very well.</s></p><p type="main"><s>SAGR. </s><s>The very confe&longs;&longs;ion of knowing it may a&longs;&longs;ure you

<lb/>that I did not di&longs;&longs;emble, when I &longs;aid that I did not under&longs;tand it;

<lb/>for if I had had a mind, and would di&longs;&longs;emble, who could hin

Line 17816

<lb/>tick, which let be E. </s><s>Now this &longs;tar will indeed vary its elevati

<pb pagenum="348"/>on upon the Earths motion; for from the Earth in A it &longs;hall be

<pb xlink:href="040/01/368.jpg" pagenum="348"/>on upon the Earths motion; for from the Earth in A it &longs;hall be

<lb/>&longs;een according to the ray A E, with the elevation of the angle

<lb/>E A C; but from the Earth placed in B, it &longs;hall be &longs;een ac

<lb/>cording to the ray B E, with the elevation of the angle E B C,

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<lb/>mid&longs;t, and at right angles by F G, the centre of the circum&longs;cri

<pb pagenum="349"/>bed circle &longs;hall be in the line F G, which let be the point I; and

<pb xlink:href="040/01/369.jpg" pagenum="349"/>bed circle &longs;hall be in the line F G, which let be the point I; and

<lb/>becau&longs;e that of &longs;uch lines as are drawn from the point G, which

<lb/>is not the centre, unto the circumference of the circum&longs;cribed

<lb/>circle, the bigge&longs;t is that which pa&longs;&longs;eth by the centre, G F &longs;hall

Line 17936

<lb/>the different appearances, that by means of the Earths annual mo

<pb pagenum="350"/>tion, may be by us ob&longs;erved in the fixed &longs;tars to be of two

<pb xlink:href="040/01/370.jpg" pagenum="350"/>tion, may be by us ob&longs;erved in the fixed &longs;tars to be of two

<lb/>kinds: The one is, that of their apparent magnitudes varied, ac

<lb/>cording as we, tran&longs;ported by the Earth, approach or recede

<lb/>from the &longs;ame: The other (which likewi&longs;e dependeth on the

Line 17987

<lb/></s><s>If the &longs;elf &longs;ame acce&longs;&longs;ion and rece&longs;&longs;ion (I &longs;peak of a di&longs;tance

<pb pagenum="351"/>twice as great as that from the Sun to us) in the &longs;tar of <emph type="italics"/>Saturn<emph.end type="italics"/> is

<pb xlink:href="040/01/371.jpg" pagenum="351"/>twice as great as that from the Sun to us) in the &longs;tar of <emph type="italics"/>Saturn<emph.end type="italics"/> is

<lb/>almo&longs;t totally imperceptible, and in <emph type="italics"/>Jupiter<emph.end type="italics"/> not very ob&longs;erva

<lb/>ble, what &longs;hall we think of the fixed &longs;tars, which I believe you

<lb/>will not &longs;cruple to place twice as far off as <emph type="italics"/>Saturn<emph.end type="italics"/>? </s><s>In <emph type="italics"/>Mars,<emph.end type="italics"/>

Line 18038

<lb/>&longs;hould be made, and kept with ab&longs;olute exactne&longs;&longs;e. <emph type="italics"/>Ptolomey<emph.end type="italics"/>

<lb/>&longs;heweth his di&longs;tru&longs;t of a Spherical In&longs;trument compo&longs;ed by <emph type="italics"/>Ar

<lb/>chimedes<emph.end type="italics"/> hi&longs;melf to take the Suns ingre&longs;&longs;ion into the Æqui

<lb/>noctial.

Line 18104

<lb/>will place a beam parallel to the &longs;aid ridg, or top of the Roof,

<pb pagenum="353"/>and di&longs;tant from it a yard or thereabouts. </s><s>This being placed, I

<pb xlink:href="040/01/373.jpg" pagenum="353"/>and di&longs;tant from it a yard or thereabouts. </s><s>This being placed, I

<lb/>will &longs;eek in the Plain the place from whence one of the &longs;tars of