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Books Books 1 - 5 of 5 on First then I will set out the very first theorem which became known to me by means....
" First then I will set out the very first theorem which became known to me by means of mechanics, namely that Any segment of a section of a right-angled cone (ie a parabola) is four-thirds of the triangle which has the same base and equal height, and after... "
The Works of Archimedes - Page 246
by Archimedes - 1897 - 326 pages
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Archimedes

Sir Thomas Little Heath - Geometry - 1920 - 58 pages
...known to me by means of mechanics, namely, that Any segment of a section of a right-angled cone [ie a parabola} is four-thirds of the triangle which has the same base and equal height ; and after this I will give each of the other theorems investigated by the same method....
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Real Analysis: A Historical Approach

Saul Stahl - Mathematics - 1999 - 269 pages
...it is here shown that every segment bounded by a straight line and a section of a right.angled cone [a parabola] is four.thirds of the triangle which has the same base and equal height with the segment, and for the demonstration of this property the following lemma is...
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Mathematical Expeditions: Chronicles by the Explorers

Reinhard Laubenbacher, David Pengelley - Mathematics - 1999 - 275 pages
...it is here shown that every segment bounded by a straight line and a section of a right-angled cone [a parabola] is four-thirds of the triangle which has the same base and equal height with the segment, and for the demonstration of this property the following lemma is...
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the method of archimedes recently discovered by heiberg a supplement to the ...

Archimedes, Sir Thomas Little Heath, Johan Ludwig Heilberg
...known to me by means of mechanics, namely that Any segment of a section of a right-angled cone (ie a parabola) is four-thirds of the triangle which has the same base and equal height, and after this I will give each of the other theorems investigated by the same method....
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The Works of Archimedes

Archimedes, Sir Thomas Little Heath - 1900 - 326 pages
...the proofs, showing that any segment bounded by a straight line and a section of a right-angled cone [a parabola] is four-thirds of the triangle which has the same base with the segment and equal height. Since then certain theorems not hitherto demonstrated (a.ve\eyKro1v)...
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