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annotate texts/XML/archimedes/en/eucli_ponde_061_en.xml @ 10:d7b79f6537bb

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Version vom 2009-02-14
author Klaus Thoden <kthoden@mpiwg-berlin.mpg.de>
date Thu, 02 May 2013 11:08:12 +0200
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1 <?xml version="1.0"?>
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2 <archimedes xmlns:xlink="http://www.w3.org/1999/xlink" > <info>
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3 <author>Pseudo Euclid</author>
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4 <title>de ponderoso et levi</title>
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5 <date>2002</date>
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6 <place>MPIWG</place>
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7 <translator>PMcL</translator>
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8 <lang>en</lang>
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9 <cvs_file>eucli_ponde_061_en.xml</cvs_file>
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10 <cvs_version></cvs_version>
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11 <locator>061.xml</locator>
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12 </info> <text>
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13 <pb xlink:href="061/01/001.jpg"></pb><front>
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15 <section><p type="head"><s id="id.000001">The book of Euclid on the heavy and the light and on the comparison of bodies to one another</s></p></section></front><body><chap><p type="main">
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16 <s id="id.000002">1. Bodies are equal in size that fill equal places.</s></p><p>
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17 <s id="id.000003">2. And which fill unequal places are said to be different in size.</s></p><p>
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18 <s id="id.000004">3. And what are said to be great among bodies, are said to be ample among places.</s></p><p>
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19 <s id="id.000005">4. Bodies are equal in force whose motions in equal times are through equal places in the same air or in the same water.</s></p><p>
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20 <s id="id.000006">5. And those that traverse equal places in different times are said to be different in fortitude.</s></p><p>
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21 <s id="id.000007">6. And what is the larger in force is the smaller in time.</s></p><p>
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22 <s id="id.000008">7. Bodies are of the same kind of which in equals the force is equal.</s></p><p>
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23 <s id="id.000009">8. If bodies equal in magnitude are different in force in respect to the same water or air, they are different in kind.</s></p><p>
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24 <s id="id.000010">9. And the more solid [dense] is the stronger.</s></p></chap><chap><p>
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25 <s id="id.000011">1. Of bodies that pass through unequal places in equal times, that which passes through the larger place is of larger force.</s></p><p>
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26 <s id="id.000012">2. If of two bodies of the same kind one is the multiple of the other, then its force will be similarly in respect to the force of the other.</s></p><p>
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27 <s id="id.000013">3. Of bodies of the same kind there is one proportion in size and power.</s></p><p>
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28 <s id="id.000014">4. Bodies of which each is equipollent in kind to one, are of the same kind.</s></p><p>
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29 <s id="id.000015">5. When there is one proportion in the size and force of bodies, they are of the same kind.</s></p></chap></body></text></archimedes>