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version 1.8, 2002/07/09 23:38:49 |
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| ]><archimedes> <info> <author>Casati, Paolo</author> <title>Terra machinis mota</title> <date>1658</date> <place>Rome</place> <editor></editor> <publisher></publisher> <translator></translator> <lang>la</lang> <chunk unit="page*">page</chunk> <locator>0000000018</locator> </info> <text> <front> </front> <body> <chap> <pb/><p type="main"> | ]><archimedes> <info> <author>Casati, Paolo</author> <title>Terra machinis mota</title> <date>1658</date> |
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| | <place>Rome</place> <editor></editor> <publisher></publisher> <translator></translator> <lang>la</lang> <chunk unit="page*">page</chunk> <locator>0000000018</locator> </info> <text> <front> </front> <body> <chap> <pb/><p type="main"> |
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| <s><emph type="center"/>TERRA <lb/>MACHINIS MOTA <lb/>DISSERTATIONES<emph.end type="center"/></s></p><p type="main"> | <s><emph type="center"/>TERRA <lb/>MACHINIS MOTA <lb/>DISSERTATIONES<emph.end type="center"/></s></p><p type="main"> |
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| <s>Porrò <lb/>a&longs;&longs;iduus ille toe <lb/>partium &longs;e inui­<lb/>cem atterentium <lb/>affrictus mora&mtail; <lb/>infert non leuem. </s> | <s>Porrò <lb/>a&longs;&longs;iduus ille toe <lb/>partium &longs;e inui­<lb/>cem atterentium <lb/>affrictus mora&mtail; <lb/>infert non leuem. </s> |
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| <s><lb/>Quare nec teme­<lb/>re dixerit qui&longs;­<lb/>piam, denticula­<lb/>tis tympanis va­<lb/>lere iu&longs;&longs;is, re&mtail; <lb/>totam faciliùs per. <lb/>&longs;ici po&longs;&longs;e multiplici axe in peritrochio, qui <lb/>& leui negotio paratur, & moram recipit nul­<lb/>lam ex mutuâ membrorum affrictione. </s></p><pb pagenum="9"/><p type="margin"> | <s><lb/>Quare nec teme­<lb/>re dixerit qui&longs;­<lb/>piam, denticula­<lb/>tis tympanis va­<lb/>lere iu&longs;&longs;is, re&mtail; <lb/>totam faciliùs per. <lb/></s> |
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| | <s>&longs;ici po&longs;&longs;e multiplici axe in peritrochio, qui <lb/>& leui negotio paratur, & moram recipit nul­<lb/>lam ex mutuâ membrorum affrictione. </s></p><pb pagenum="9"/><p type="margin"> |
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| <s><margin.target id="note4"></margin.target><emph type="italics"/><lb/>IV <lb/>Difficulta­<lb/>tes in heli­<lb/>cis constru­<lb/>ctione & <lb/><gap/>&longs;<gap/>. <lb/><emph.end type="italics"/></s></p><p type="main"> | <s><margin.target id="note4"></margin.target><emph type="italics"/><lb/>IV <lb/>Difficulta­<lb/>tes in heli­<lb/>cis constru­<lb/>ctione & <lb/><gap/>&longs;<gap/>. <lb/><emph.end type="italics"/></s></p><p type="main"> |
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| <s>Quare &longs;i hoc Ra­<lb/>dio in plano verticali de&longs;cribatur arcus, & <pb pagenum="76"/>ad lineam horizontalem excitetur perpendi­<lb/>cularis æqualis Tangenti gr. </s> | <s>Quare &longs;i hoc Ra­<lb/>dio in plano verticali de&longs;cribatur arcus, & <pb pagenum="76"/>ad lineam horizontalem excitetur perpendi­<lb/>cularis æqualis Tangenti gr. </s> |
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| <s>1. (accepto &longs;e. <lb/>&longs;emi&longs;&longs;e numeri Canonis in partibus vnciæ <lb/>cente&longs;imis) ab&longs;cindi poterit ex arcu gradus <lb/>vnus, cuius &longs;inus parum di&longs;tabit à palmo <lb/>Romano architectonico. </s> | <s>1. (accepto &longs;e. <lb/></s> |
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| | <s>&longs;emi&longs;&longs;e numeri Canonis in partibus vnciæ <lb/>cente&longs;imis) ab&longs;cindi poterit ex arcu gradus <lb/>vnus, cuius &longs;inus parum di&longs;tabit à palmo <lb/>Romano architectonico. </s> |
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| <s>Quare facilè pote­<lb/>rit arcus in 60 minuta diuidi, & ex eodem <lb/>centro interuallo maiore de&longs;cripto alio arcu, <lb/>poterunt duci lineæ tran&longs;uer&longs;æ, in quibus <lb/>minutorum partes &longs;ex age&longs;imæ di&longs;tingui po­<lb/>terunt, prout moris e&longs;t. </s> | <s>Quare facilè pote­<lb/>rit arcus in 60 minuta diuidi, & ex eodem <lb/>centro interuallo maiore de&longs;cripto alio arcu, <lb/>poterunt duci lineæ tran&longs;uer&longs;æ, in quibus <lb/>minutorum partes &longs;ex age&longs;imæ di&longs;tingui po­<lb/>terunt, prout moris e&longs;t. </s> |
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| <s>100 auferuntur <lb/>lib. (68 52/71), & pondus va&longs;is in aquâ e&longs;t lib. (31 19/71). <lb/>At quando totum replebatur aquâ, pondus <lb/>erat lib. (88 52/71), igitur differentia lib. (57 33/71) e&longs;t <lb/>grauitas æqualis grauitati (51/71) pedis cubiciaquæ, <lb/>quæ impleret va&longs;is &longs;patium ab aëre occupa­<lb/>tum, &longs;i aqua illa in aëre extra aquam ex­<lb/>penderetut. </s></p><p type="main"> | <s>100 auferuntur <lb/>lib. (68 52/71), & pondus va&longs;is in aquâ e&longs;t lib. (31 19/71). <lb/>At quando totum replebatur aquâ, pondus <lb/>erat lib. (88 52/71), igitur differentia lib. (57 33/71) e&longs;t <lb/>grauitas æqualis grauitati (51/71) pedis cubiciaquæ, <lb/>quæ impleret va&longs;is &longs;patium ab aëre occupa­<lb/>tum, &longs;i aqua illa in aëre extra aquam ex­<lb/>penderetut. </s></p><p type="main"> |
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| <s>Quemadmodum igitur ex eiu&longs;dem va&longs;is <pb pagenum="148"/><arrow.to.target n="note71"></arrow.to.target><lb/>ponderibus intrà <expan abbr="aquã">aquam</expan>, <expan abbr="quãdo">quando</expan> e&longs;t <expan abbr="plenũ">plenum</expan> aquâ, <lb/>ac quando e&longs;t plenum aëre, rectè infertur ho. <lb/><expan abbr="rũ">rum</expan> ponderum <expan abbr="differentiã">differentiam</expan> e&longs;&longs;e æqualem pon­<lb/>deri aquæ implentis locum <expan abbr="a&etilde;ris">aerris</expan>, &longs;i illa pon­<lb/>deretur in aëre: &longs;ic ex differentiâ ponderum <lb/>Æolipilæ intrà aërem communem con&longs;titu­<lb/>tæ, quando plena e&longs;t aëre communi, ac <lb/>quando plena e&longs;t aëre ignito, ex hac, inquam, <lb/>differentiâ rectè illata videtur grauitas aëris <lb/>communis Æolipilam implentis, &longs;i aër i&longs;te <lb/>ponderaretur in aëre ignito tanquam in me<gap/><lb/>dio. </s> | <s>Quemadmodum igitur ex eiu&longs;dem va&longs;is <pb pagenum="148"/><arrow.to.target n="note71"></arrow.to.target><lb/>ponderibus intrà <expan abbr="aquã">aquam</expan>, <expan abbr="quãdo">quando</expan> e&longs;t <expan abbr="plenũ">plenum</expan> aquâ, <lb/>ac quando e&longs;t plenum aëre, rectè infertur ho. <lb/></s> |
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| | <s><expan abbr="rũ">rum</expan> ponderum <expan abbr="differentiã">differentiam</expan> e&longs;&longs;e æqualem pon­<lb/>deri aquæ implentis locum <expan abbr="a&etilde;ris">aerris</expan>, &longs;i illa pon­<lb/>deretur in aëre: &longs;ic ex differentiâ ponderum <lb/>Æolipilæ intrà aërem communem con&longs;titu­<lb/>tæ, quando plena e&longs;t aëre communi, ac <lb/>quando plena e&longs;t aëre ignito, ex hac, inquam, <lb/>differentiâ rectè illata videtur grauitas aëris <lb/>communis Æolipilam implentis, &longs;i aër i&longs;te <lb/>ponderaretur in aëre ignito tanquam in me<gap/><lb/>dio. </s> |
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| <s>Cum autem differentia huiu&longs;modi &longs;it <lb/>granorum quatuor, pondus aëris communis <lb/>æolipilam implentis e&longs;t gran. </s> | <s>Cum autem differentia huiu&longs;modi &longs;it <lb/>granorum quatuor, pondus aëris communis <lb/>æolipilam implentis e&longs;t gran. </s> |
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| <s>Re&longs;iduum grauitatis ab­<lb/>&longs;olutæ globi diui&longs;um per re&longs;iduum &longs;oliditatis <pb pagenum="199"/>demptâ &longs;oliditate aquæ, dabit &longs;pecifica&mtail; <lb/>grauitatem globi demptâ aquâ. </s></p><p type="margin"> | <s>Re&longs;iduum grauitatis ab­<lb/>&longs;olutæ globi diui&longs;um per re&longs;iduum &longs;oliditatis <pb pagenum="199"/>demptâ &longs;oliditate aquæ, dabit &longs;pecifica&mtail; <lb/>grauitatem globi demptâ aquâ. </s></p><p type="margin"> |
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| <s><margin.target id="note93"></margin.target><emph type="italics"/>XCIII <lb/>Terreni glo. <lb/>&longs;bi grauitas <lb/>peci fic&atail; <lb/>maior est<gap/><lb/>grauitat&etail; <lb/>argillæ, &longs;i <lb/>aqua dema­<lb/>tur ex gio­<lb/>bo.<emph.end type="italics"/></s></p><p type="main"> | <s><margin.target id="note93"></margin.target><emph type="italics"/>XCIII <lb/>Terreni glo. <lb/></s> |
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| | <s>&longs;bi grauitas <lb/>peci fic&atail; <lb/>maior est<gap/><lb/>grauitat&etail; <lb/>argillæ, &longs;i <lb/>aqua dema­<lb/>tur ex gio­<lb/>bo.<emph.end type="italics"/></s></p><p type="main"> |
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| <s>Primùm globi &longs;oliditatem habemus, &longs;i <lb/>inuentæ &longs;ub initium no&longs;tri he&longs;terni &longs;ermonis <lb/>&longs;uperficiei &longs;phæricæ mill. </s> | <s>Primùm globi &longs;oliditatem habemus, &longs;i <lb/>inuentæ &longs;ub initium no&longs;tri he&longs;terni &longs;ermonis <lb/>&longs;uperficiei &longs;phæricæ mill. </s> |
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