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 246by Archimedes - 1897 - 326 pagesFull view - About this book
| 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.... | |
| 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... | |
| 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... | |
| 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.... | |
| 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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