Main  History  Search  Repository tree

[BACK] Return to salus_mathe_01_en_1667.xml CVS log [TXT][DIR] Up to [CVSROOT] / texts / archimedes / xml

Colored diff for /texts/archimedes/xml/Attic/salus_mathe_01_en_1667.xml between version 1.10 and 1.16

version 1.10, 2002/08/01 21:15:32 version 1.16, 2002/08/09 22:48:45
Line 1 
Line 1 
 <?xml version="1.0"?> <?xml version="1.0"?>
 <!DOCTYPE archimedes SYSTEM "../dtd/archimedes.dtd" ><archimedes>      <info>        <author>Salusbury, Thomas</author>        <title>Mathematical Collections and Translations</title>        <date>1661</date>         <!DOCTYPE archimedes SYSTEM "../dtd/archimedes.dtd" ><archimedes>      <info>
          <author>Salusbury, Thomas</author>
          <title>Mathematical collections and translations</title>
 <place>London</place>   <editor></editor>                <publisher></publisher>        <translator></translator>        <lang>en</lang>              <chunk unit="page*">page</chunk><locator>0000000040</locator>      </info>      <text>          <front>          </front>          <body>            <chap>        <pb/><p type="head">         <date>1667</date>
          <place>London</place>
          <translator></translator>
          <lang>en</lang>
          <cvs_file>salus_mathe_01_en_1667</cvs_file>
          <cvs_version></cvs_version>
          <locator>0000000040.xml</locator>
  </info>      <text>          <front>          </front>          <body>            <chap>        <pb/><p type="head">
  
 <s>MATHEMATICAL <lb/>COLLECTIONS <lb/>AND <lb/>TRANSLATIONS <lb/>IN TWO TOMES <lb/><emph type="italics"/>by<emph.end type="italics"/><lb/>THOMAS SALUSBURY <lb/>LONDON, 1661 AND 1665</s></p><p type="head"> <s>MATHEMATICAL <lb/>COLLECTIONS <lb/>AND <lb/>TRANSLATIONS <lb/>IN TWO TOMES <lb/><emph type="italics"/>by<emph.end type="italics"/><lb/>THOMAS SALUSBURY <lb/>LONDON, 1661 AND 1665</s></p><p type="head">
  
Line 3980 
Line 3987 
  
 <s>SIMPL. </s> <s>SIMPL. </s>
  
 <s>I alwayes carry it about with me: See here it is, and <lb/>I know the place perfectly well, which is in <emph type="italics"/>lib. </s> <s>I alwayes carry it about with me: See here it is, and <lb/>I know the place perfectly well, which is in <emph type="italics"/>lib.
  
 <s>2. De C&aelig;lo, cap.<emph.end type="italics"/><lb/>16. Here it is, <emph type="italics"/>Text<emph.end type="italics"/> 97. <emph type="italics"/>Preterea omnia, qu&aelig; feruntur latione <lb/>circulari &longs;ubdeficere videntur, ac moveri pluribus una latione, <lb/>pr&aelig;ter primam Sph&aelig;ram; quare &amp; Terram nece&longs;&longs;ariam e&longs;t, &longs;ive <lb/>circa medium, &longs;ive in medio po&longs;ita feratur, duabus moveri <lb/>lationibus. </s> 2. De C&aelig;lo, cap.<emph.end type="italics"/><lb/>16. Here it is, <emph type="italics"/>Text<emph.end type="italics"/> 97. <emph type="italics"/>Preterea omnia, qu&aelig; feruntur latione <lb/>circulari &longs;ubdeficere videntur, ac moveri pluribus una latione, <lb/>pr&aelig;ter primam Sph&aelig;ram; quare &amp; Terram nece&longs;&longs;ariam e&longs;t, &longs;ive <lb/>circa medium, &longs;ive in medio po&longs;ita feratur, duabus moveri <lb/>lationibus. </s>
  
 <s>Si autem hoc acciderit, nece&longs;&longs;ariam e&longs;t fieri muta&shy;<lb/>tiones, ac conver&longs;iones fixorum a&longs;trorum. </s> <s>Si autem hoc acciderit, nece&longs;&longs;ariam e&longs;t fieri muta&shy;<lb/>tiones, ac conver&longs;iones fixorum a&longs;trorum. </s>
  
Line 12388 
Line 12395 
  
 <s>Marcion. </s> <s>Marcion. </s>
  
 <s>lib. </s> <s>lib.
  
 <s>1. <lb/>cap. </s> 1. <lb/>cap.
  
 <s>18.</s></p><p type="main"> 18.</s></p><p type="main">
  
 <s>This maketh me to &longs;uppo&longs;e, that the Authority of the Sacred <lb/>Volumes was intended principally to per&longs;wade men to the be&shy;<lb/>lief of tho&longs;e Articles and Propo&longs;itions, which, by rea&longs;on they <lb/>&longs;urpa&longs;s all humane di&longs;cour&longs;e, could not by any other Science, or <lb/>by any other means be made credible, than by the Mouth of <lb/>the Holy Spirit it &longs;elf. </s> <s>This maketh me to &longs;uppo&longs;e, that the Authority of the Sacred <lb/>Volumes was intended principally to per&longs;wade men to the be&shy;<lb/>lief of tho&longs;e Articles and Propo&longs;itions, which, by rea&longs;on they <lb/>&longs;urpa&longs;s all humane di&longs;cour&longs;e, could not by any other Science, or <lb/>by any other means be made credible, than by the Mouth of <lb/>the Holy Spirit it &longs;elf. </s>
  
Line 12492 
Line 12499 
  
 <s><margin.target id="marg830"></margin.target>Eccle&longs;ia&longs;t. </s> <s><margin.target id="marg830"></margin.target>Eccle&longs;ia&longs;t. </s>
  
 <s>cap. </s> <s>cap.
  
 <s>3.</s></p><p type="main"> 3.</s></p><p type="main">
  
 <s>And for this cau&longs;e, it would probably be prudent and pro&longs;i&shy;<lb/>table coun&longs;el, if be&longs;ides the Articles which concern our Salvati&shy;<lb/>on, and the e&longs;tabli&longs;hment of our Faith (again&longs;t the &longs;tability of <lb/>which there is no fear that any valid and &longs;olid Doctrine can e&shy;<lb/>ver ri&longs;e up) men would not aggregate and heap up more, with&shy;<lb/>out nece&longs;&longs;ity: And if it be &longs;o, it would certainly be a prepo&longs;te&shy;<lb/>rous thing to introduce &longs;uch Articles at the reque&longs;t of per&longs;ons <lb/>who, be&longs;ides that we know not that they &longs;peak by in&longs;piration <lb/>of Divine Grace, we plainly &longs;ee that there might be wi&longs;hed in <lb/>them the under&longs;tanding which would be nece&longs;&longs;ary fir&longs;t to enable <lb/>them to comprehend, and then to di&longs;cu&longs;s the Demon&longs;trations <lb/>wherewith the &longs;ubtiler Sciences proceed in confirming &longs;uch like <lb/>Conclu&longs;ions. </s> <s>And for this cau&longs;e, it would probably be prudent and pro&longs;i&shy;<lb/>table coun&longs;el, if be&longs;ides the Articles which concern our Salvati&shy;<lb/>on, and the e&longs;tabli&longs;hment of our Faith (again&longs;t the &longs;tability of <lb/>which there is no fear that any valid and &longs;olid Doctrine can e&shy;<lb/>ver ri&longs;e up) men would not aggregate and heap up more, with&shy;<lb/>out nece&longs;&longs;ity: And if it be &longs;o, it would certainly be a prepo&longs;te&shy;<lb/>rous thing to introduce &longs;uch Articles at the reque&longs;t of per&longs;ons <lb/>who, be&longs;ides that we know not that they &longs;peak by in&longs;piration <lb/>of Divine Grace, we plainly &longs;ee that there might be wi&longs;hed in <lb/>them the under&longs;tanding which would be nece&longs;&longs;ary fir&longs;t to enable <lb/>them to comprehend, and then to di&longs;cu&longs;s the Demon&longs;trations <lb/>wherewith the &longs;ubtiler Sciences proceed in confirming &longs;uch like <lb/>Conclu&longs;ions. </s>
  
Line 12632 
Line 12639 
  
 <s>D Aug. </s> <s>D Aug. </s>
  
 <s>in <lb/>Gen. <emph type="italics"/>ad Lute&shy;<lb/>ram,<emph.end type="italics"/> lib. </s> <s>in <lb/>Gen. <emph type="italics"/>ad Lute&shy;<lb/>ram,<emph.end type="italics"/> lib.
  
 <s>1. <emph type="italics"/>in fine.<emph.end type="italics"/></s></p><p type="main"> 1. <emph type="italics"/>in fine.<emph.end type="italics"/></s></p><p type="main">
  
 <s>As to the other point, Of our regarding the Primary Scope of <lb/>tho&longs;e Sacred Volumes, I cannot think that their having &longs;poken <lb/>alwaies in the &longs;ame tenour, doth any thing at all di&longs;turb this <lb/>Rule. </s> <s>As to the other point, Of our regarding the Primary Scope of <lb/>tho&longs;e Sacred Volumes, I cannot think that their having &longs;poken <lb/>alwaies in the &longs;ame tenour, doth any thing at all di&longs;turb this <lb/>Rule. </s>
  
Line 12672 
Line 12679 
  
 <s>28. Jerem.</s></p><p type="margin"> <s>28. Jerem.</s></p><p type="margin">
  
 <s><margin.target id="marg840"></margin.target>(l) <emph type="italics"/>Con&longs;uctudi&shy;<lb/>nis Scripturarum <lb/>e&longs;t, ut opinionem <lb/>multarum rerum <lb/>&longs;ic narret Hi&longs;tori&shy;<lb/>cus, quomodo eo <lb/>tempore ab omni&shy;<lb/>bus credebatur.<emph.end type="italics"/> In <lb/>cap. </s> <s><margin.target id="marg840"></margin.target>(l) <emph type="italics"/>Con&longs;uctudi&shy;<lb/>nis Scripturarum <lb/>e&longs;t, ut opinionem <lb/>multarum rerum <lb/>&longs;ic narret Hi&longs;tori&shy;<lb/>cus, quomodo eo <lb/>tempore ab omni&shy;<lb/>bus credebatur.<emph.end type="italics"/> In <lb/>cap.
  
 <s>13. Matth.</s></p><p type="margin"> 13. Matth.</s></p><p type="margin">
  
 <s><margin.target id="marg841"></margin.target>* D. Thomas, in <lb/>cap. </s> <s><margin.target id="marg841"></margin.target>* D. Thomas, in <lb/>cap. </s>
  
Line 12748 
Line 12755 
  
 <s>in Gen. </s> <s>in Gen. </s>
  
 <s>ad Litteram, lib. </s> <s>ad Litteram, lib.
  
 <s>2. c. </s> 2. c. </s>
  
 <s>18. &amp; <expan abbr="&longs;eq.">&longs;eque</expan></s></p><p type="main"> <s>18. &amp; <expan abbr="&longs;eq.">&longs;eque</expan></s></p><p type="main">
  
Line 13352 
Line 13359 
  
 <s><margin.target id="marg887"></margin.target>Alia &longs;unt notio&shy;<lb/>ra nobis, alia, no&shy;<lb/>tiora natura, vel <lb/>&longs;ecundum &longs;e, <emph type="italics"/>A&shy;<lb/>r &longs;t. </s> <s><margin.target id="marg887"></margin.target>Alia &longs;unt notio&shy;<lb/>ra nobis, alia, no&shy;<lb/>tiora natura, vel <lb/>&longs;ecundum &longs;e, <emph type="italics"/>A&shy;<lb/>r &longs;t. </s>
  
 <s>lib. </s> <s>lib.
  
 <s>1. Phy&longs;.<emph.end type="italics"/></s></p><p type="main"> 1. Phy&longs;.<emph.end type="italics"/></s></p><p type="main">
  
 <s>Fir&longs;t therefore; If the light were made before heaven, then <lb/>it rolled about without heaven to the making of the di&longs;tinction <lb/>of Day and Night. </s> <s>Fir&longs;t therefore; If the light were made before heaven, then <lb/>it rolled about without heaven to the making of the di&longs;tinction <lb/>of Day and Night. </s>
  
Line 13514 
Line 13521 
  
 <s>As for example, if a Barrel or other mea&longs;ure of <lb/>Water be taken out of the Sea, and transferred to another place, <lb/>the Sea may not therefore <emph type="italics"/>ab&longs;olutely &amp; &longs;imply<emph.end type="italics"/> be &longs;aid to be remo&shy;<lb/>ved from place to place; but only <emph type="italics"/>per accidens,<emph.end type="italics"/> and <emph type="italics"/>&longs;ecundum <lb/>quid,<emph.end type="italics"/> that is, according to a part of it, but rather (to &longs;peak &longs;im&shy;<lb/>ply) we &longs;hould &longs;ay that the Sea cannot be carried or moved out of <lb/>its proper place,, though as to its parts it be moved, and transfer&shy;<lb/>red to &amp; again. </s> <s>As for example, if a Barrel or other mea&longs;ure of <lb/>Water be taken out of the Sea, and transferred to another place, <lb/>the Sea may not therefore <emph type="italics"/>ab&longs;olutely &amp; &longs;imply<emph.end type="italics"/> be &longs;aid to be remo&shy;<lb/>ved from place to place; but only <emph type="italics"/>per accidens,<emph.end type="italics"/> and <emph type="italics"/>&longs;ecundum <lb/>quid,<emph.end type="italics"/> that is, according to a part of it, but rather (to &longs;peak &longs;im&shy;<lb/>ply) we &longs;hould &longs;ay that the Sea cannot be carried or moved out of <lb/>its proper place,, though as to its parts it be moved, and transfer&shy;<lb/>red to &amp; again. </s>
  
 <s>This Maxime is manife&longs;t of it &longs;elf, and by it may <lb/>the Authorities be explained which &longs;eem to make for the immo&shy;<lb/>bility of the Earth in this manner; namely, The Earth <emph type="italics"/>per &longs;e &amp; <lb/>ab&longs;olut&egrave;<emph.end type="italics"/> con&longs;idered as to its <emph type="italics"/>Whole,<emph.end type="italics"/> is not mutable, &longs;eeing it is <lb/>neither generated nor corrupted neither increa&longs;ed nor dimini&longs;hed; <lb/>neither is it altered <emph type="italics"/>&longs;ecundum totum,<emph.end type="italics"/> but only <emph type="italics"/>&longs;ecundum partes.<emph.end type="italics"/><lb/><arrow.to.target n="marg908"></arrow.to.target><lb/>Now it plainly appears, that this is the genuine and true Sen&longs;e of <lb/>what is a&longs;cribed to it out of <emph type="italics"/>Eccle&longs;ia&longs;tes, cap. </s> <s>This Maxime is manife&longs;t of it &longs;elf, and by it may <lb/>the Authorities be explained which &longs;eem to make for the immo&shy;<lb/>bility of the Earth in this manner; namely, The Earth <emph type="italics"/>per &longs;e &amp; <lb/>ab&longs;olut&egrave;<emph.end type="italics"/> con&longs;idered as to its <emph type="italics"/>Whole,<emph.end type="italics"/> is not mutable, &longs;eeing it is <lb/>neither generated nor corrupted neither increa&longs;ed nor dimini&longs;hed; <lb/>neither is it altered <emph type="italics"/>&longs;ecundum totum,<emph.end type="italics"/> but only <emph type="italics"/>&longs;ecundum partes.<emph.end type="italics"/><lb/><arrow.to.target n="marg908"></arrow.to.target><lb/>Now it plainly appears, that this is the genuine and true Sen&longs;e of <lb/>what is a&longs;cribed to it out of <emph type="italics"/>Eccle&longs;ia&longs;tes, cap.
  
 <s>1. v. </s> 1. v. </s>
  
 <s>4. One Generation <lb/>pa&longs;&longs;eth away, and another Generation cometh, but the Earth abideth <lb/>for ever<emph.end type="italics"/>: as if he &longs;hould &longs;ay; although the Earth, according to its <lb/>parts, doth generate and corrupt, and is liable to the vici&longs;&longs;itudes of <lb/>Generation and corruption, yet in reference to its Whole it never <lb/>generateth nor Corrupteth, but abideth immutable for ever: <lb/>Like as a Ship, which though it be mended one while in the Sail&shy;<lb/>yard, another while in the Stern, and afterwards in other parts <lb/>it yet remains the &longs;ame Ship as it was at fir&longs;t. </s> <s>4. One Generation <lb/>pa&longs;&longs;eth away, and another Generation cometh, but the Earth abideth <lb/>for ever<emph.end type="italics"/>: as if he &longs;hould &longs;ay; although the Earth, according to its <lb/>parts, doth generate and corrupt, and is liable to the vici&longs;&longs;itudes of <lb/>Generation and corruption, yet in reference to its Whole it never <lb/>generateth nor Corrupteth, but abideth immutable for ever: <lb/>Like as a Ship, which though it be mended one while in the Sail&shy;<lb/>yard, another while in the Stern, and afterwards in other parts <lb/>it yet remains the &longs;ame Ship as it was at fir&longs;t. </s>
  
Line 13690 
Line 13697 
  
 <s>curat. <lb/></s> <s>curat. <lb/></s>
  
 <s>lib. </s> <s>lib.
  
 <s>2. Steuch. </s> 2. Steuch. </s>
  
 <s>lib. <lb/></s> <s>lib. <lb/></s>
  
Line 23732 
Line 23739 
  
 <s><margin.target id="marg1322"></margin.target>K</s></p><p type="margin"> <s><margin.target id="marg1322"></margin.target>K</s></p><p type="margin">
  
 <s><margin.target id="marg1323"></margin.target>* <emph type="italics"/>Upon prop. </s> <s><margin.target id="marg1323"></margin.target>* <emph type="italics"/>Upon prop.
  
 <s>3 lib.<emph.end type="italics"/> 2 <lb/>Archim. <emph type="italics"/>&AElig;qui&shy;<lb/>pond.<emph.end type="italics"/></s></p><p type="margin"> 3 lib.<emph.end type="italics"/> 2 <lb/>Archim. <emph type="italics"/>&AElig;qui&shy;<lb/>pond.<emph.end type="italics"/></s></p><p type="margin">
  
 <s><margin.target id="marg1324"></margin.target><emph type="italics"/>Vide<emph.end type="italics"/> Archim, <emph type="italics"/>ante <lb/>prop. </s> <s><margin.target id="marg1324"></margin.target><emph type="italics"/>Vide<emph.end type="italics"/> Archim, <emph type="italics"/>ante <lb/>prop.
  
 <s>2. lib. </s> 2. lib.
  
 <s>2. <lb/>&AElig;quipond.<emph.end type="italics"/></s></p><p type="margin"> 2. <lb/>&AElig;quipond.<emph.end type="italics"/></s></p><p type="margin">
  
 <s><margin.target id="marg1325"></margin.target>L</s></p><p type="main"> <s><margin.target id="marg1325"></margin.target>L</s></p><p type="main">
  
Line 25388 
Line 25395 
  
 <s><margin.target id="marg1535"></margin.target><emph type="italics"/>Ari&longs;tot. </s> <s><margin.target id="marg1535"></margin.target><emph type="italics"/>Ari&longs;tot. </s>
  
 <s>De C&oelig;lo<emph.end type="italics"/><lb/>lib. </s> <s>De C&oelig;lo<emph.end type="italics"/><lb/>lib.
  
 <s>4. cap. </s> 4. cap.
  
 <s>6. <lb/>text. </s> 6. <lb/>text. </s>
  
 <s>43.</s></p><p type="main"> <s>43.</s></p><p type="main">
  
Line 25512 
Line 25519 
  
 <s>De <lb/>In&longs;ident, humi<emph.end type="italics"/> lib. <lb/></s> <s>De <lb/>In&longs;ident, humi<emph.end type="italics"/> lib. <lb/></s>
  
 <s>2. prop. </s> <s>2. prop.
  
 <s>1.</s></p><p type="main"> 1.</s></p><p type="main">
  
 <s>I will not on this occa&longs;ion forbear to give warning of another fal&shy;<lb/>lacy of the&longs;e per&longs;ons, who attribute the rea&longs;on of &longs;inking or &longs;wimming <lb/>to the greater or le&longs;&longs;e Re&longs;i&longs;tance of the Cra&longs;&longs;itude of the water again&longs;t <lb/>Divi&longs;ion, making u&longs;e of the example of an Egg, which in &longs;weet water <lb/>goeth to the bottom, but in &longs;alt water &longs;wims; and alledging for the <lb/>cau&longs;e thereof, the faint Re&longs;i&longs;tance of fre&longs;h water again&longs;t Divi&longs;ion, and <lb/>the &longs;trong Re&longs;i&longs;tance of &longs;alt water But if I mi&longs;take not, from the &longs;ame <lb/>Experiment, we may aswell deduce the quite contrary; namely, that <lb/>the fre&longs;h water is more den&longs;e, and the &longs;alt more tenuous and &longs;ubtle, <lb/>&longs;ince an Egg from the bottom of &longs;alt water &longs;peedily a&longs;cends to the <lb/>top, and divides its Re&longs;i&longs;tance, which it cannot do in the fre&longs;h, in who&longs;e <lb/>bottom it &longs;tays, being unable to ri&longs;e upwards. </s> <s>I will not on this occa&longs;ion forbear to give warning of another fal&shy;<lb/>lacy of the&longs;e per&longs;ons, who attribute the rea&longs;on of &longs;inking or &longs;wimming <lb/>to the greater or le&longs;&longs;e Re&longs;i&longs;tance of the Cra&longs;&longs;itude of the water again&longs;t <lb/>Divi&longs;ion, making u&longs;e of the example of an Egg, which in &longs;weet water <lb/>goeth to the bottom, but in &longs;alt water &longs;wims; and alledging for the <lb/>cau&longs;e thereof, the faint Re&longs;i&longs;tance of fre&longs;h water again&longs;t Divi&longs;ion, and <lb/>the &longs;trong Re&longs;i&longs;tance of &longs;alt water But if I mi&longs;take not, from the &longs;ame <lb/>Experiment, we may aswell deduce the quite contrary; namely, that <lb/>the fre&longs;h water is more den&longs;e, and the &longs;alt more tenuous and &longs;ubtle, <lb/>&longs;ince an Egg from the bottom of &longs;alt water &longs;peedily a&longs;cends to the <lb/>top, and divides its Re&longs;i&longs;tance, which it cannot do in the fre&longs;h, in who&longs;e <lb/>bottom it &longs;tays, being unable to ri&longs;e upwards. </s>
  

Legend:
Removed from v.1.10 
changed lines
 Added in v.1.16