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comparison texts/XML/archimedes/en/eucli_ponde_060_en.xml @ 6:22d6a63640c6
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| author | casties |
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| date | Fri, 07 Dec 2012 17:05:22 +0100 |
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| 1 <?xml version="1.0"?> | |
| 2 <archimedes xmlns:xlink="http://www.w3.org/1999/xlink" > <info> | |
| 3 <author>Pseudo Euclid</author> | |
| 4 <title>de ponderoso et levi</title> | |
| 5 <date>2002</date> | |
| 6 <place>MPIWG</place> | |
| 7 <translator>PMcL</translator> | |
| 8 <lang>en</lang> | |
| 9 <cvs_file>eucli_ponde_060_en.xml</cvs_file> | |
| 10 <cvs_version></cvs_version> | |
| 11 <locator>060.xml</locator> | |
| 12 </info> <text> | |
| 13 <pb xlink:href="060/01/001.jpg"></pb><front> | |
| 14 | |
| 15 <section><p type="head"><s id="id.000001">A Fragment of Euclid on the Light and the Heavy</s></p></section></front> | |
| 16 <body><chap><p type="head"><s id="id.000002">Definitions.</s></p><p type="main"> | |
| 17 <s id="id.000003">1 Bodies are equal in size that fill equal places.</s> | |
| 18 <s id="id.000004">2 Bodies are different in size that fill places that are not equal.</s> | |
| 19 <s id="id.000005">3 Bodies are said to be greater in size that are more ample in place.</s> | |
| 20 <s id="id.000006">4 Bodies are equal in power whose motions through equal intervals and with respect to the same time, air and water are equal .</s> | |
| 21 <s id="id.000007">5 Bodies are different in power whose motions in different times are equal.</s> | |
| 22 <s id="id.000008">6 Of bodies different in power, that is said to be greater in power which takes less time to move; but that [is said to be] lesser in power whose time is more ample. </s> | |
| 23 <s id="id.000009">7 Bodies are of the same kind which, if they are equal in size, are also equal in power.</s> | |
| 24 <s id="id.000010">8 Bodies are different in kind which, if they are equal in size, are not equal in power, assuming they are moved through the same medium.</s> | |
| 25 <s id="id.000011">9 Of bodies different in kind, that is said to be more powerful which is more solid [dense].</s></p></chap><chap><p type="head"> | |
| 26 <s id="id.000012">Theorems</s></p><p type="head"> | |
| 27 <s id="id.000013">First Theorem</s></p><p type="main"> | |
| 28 <s id="id.000014">Of bodies different in power that which moves that through more ample space has more ample power.</s></p><p type="head"> | |
| 29 <s id="id.000015">Second Theorem </s></p><p type="main"> | |
| 30 <s id="id.000016">Of bodies the same in kind, if these are among themselves multiples, their powers will be likewise be multiples.</s></p><p type="head"> | |
| 31 <s id="id.000017">Third Theorem</s></p><p type="main"> | |
| 32 <s id="id.000018">Of bodies the same in kind the proportion in both size and power is the same.</s></p><p type="head"> | |
| 33 <s id="id.000019">Fourth Theorem </s></p><p type="main"> | |
| 34 <s id="id.000020">Those bodies equal in power to a body of the same kind, are of the same kind among themselves, namely equals having been removed from that third, the forces of these will be equal, since the powers [were] equals of the third.</s></p> | |
| 35 </chap></body></text></archimedes> |