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annotate texts/archimedesOldCVSRepository/archimedes/xml/eucli_ponde_060_en.xml @ 31:edf6e8fcf323 default tip

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Removing DESpecs directory which deserted to git
author Klaus Thoden <kthoden@mpiwg-berlin.mpg.de>
date Wed, 29 Nov 2017 16:55:37 +0100
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1 <?xml version="1.0"?>
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2 <!DOCTYPE archimedes SYSTEM "../dtd/archimedes.dtd">
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3 <archimedes xmlns:xlink="http://www.w3.org/1999/xlink"> <info>
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4 <author>Pseudo Euclid</author>
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5 <title>de ponderoso et levi</title>
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6 <date>2002</date>
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7 <place>MPIWG</place>
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8 <translator>PMcL</translator>
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9 <lang>en</lang>
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10 <cvs_file>eucli_ponde_060_en.xml</cvs_file>
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11 <cvs_version/>
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12 <locator>060.xml</locator>
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13 </info> <text>
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14 <pb xlink:href="060/01/001.jpg"/><front>
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16 <section><p type="head"><s id="id.000001">A Fragment of Euclid on the Light and the Heavy</s></p></section></front>
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17 <body><chap><p type="head"><s id="id.000002">Definitions.</s></p><p type="main">
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18 <s id="id.000003">1 Bodies are equal in size that fill equal places.</s>
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19 <s id="id.000004">2 Bodies are different in size that fill places that are not equal.</s>
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20 <s id="id.000005">3 Bodies are said to be greater in size that are more ample in place.</s>
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21 <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>
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22 <s id="id.000007">5 Bodies are different in power whose motions in different times are equal.</s>
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23 <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>
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24 <s id="id.000009">7 Bodies are of the same kind which, if they are equal in size, are also equal in power.</s>
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25 <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>
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26 <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">
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27 <s id="id.000012">Theorems</s></p><p type="head">
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28 <s id="id.000013">First Theorem</s></p><p type="main">
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29 <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">
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30 <s id="id.000015">Second Theorem </s></p><p type="main">
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31 <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">
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32 <s id="id.000017">Third Theorem</s></p><p type="main">
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33 <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">
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34 <s id="id.000019">Fourth Theorem </s></p><p type="main">
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35 <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>
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36 </chap></body></text></archimedes>