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" ... spheres are to one another in the triplicate ratio of their diameters, and further that every pyramid is one third part of the prism which has the same base with the pyramid and equal height; also, that every cone is one third part of the cylinder... "
Treatise on Conic Sections - Pagina lviii
door Apollonius (of Perga.) - 1896 - 254 pagina’s
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The Works of Archimedes

Archimedes - 1897 - 528 pagina’s
...that every cone is one third part of the cylinder having the same base as the cone and equal height they proved by assuming a certain lemma similar to...each of the aforesaid theorems has been accepted* no less than those proved without the lemma. As therefore my work now published has satisfied the same...
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Mathematical Expeditions: Chronicles by the Explorers

Reinhard Laubenbacher, David Pengelley - 2000 - 292 pagina’s
...that every cone is one third part of the cylinder having the same base as the cone and equal height they proved by assuming a certain lemma similar to...result, each of the aforesaid theorems has been accepted no less than those proved without the lemma. As therefore my work now published has satisfied the same...
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Real Analysis: A Historical Approach

Saul Stahl - 1999 - 288 pagina’s
...that every cone is one third part of the cylinder having the same base as the cone and equal height they proved by assuming a certain lemma similar to...result, each of the aforesaid theorems has been accepted no less than those proved without the lemma. As therefore my work now published has satisfied the same...
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Apollonius of Perga Treatise on Conic Sections

438 pagina’s
...called by Archimedes, not Tfrpayiavurfias n-apa/SoX^s, but irtpl rijs TOV 6pOoyiaviov Kiavov TO/xTJS) is interesting. After alluding to the attempts of...some corruption here : the expression in the text is ras S\ou TOV KuVui' TOlMS, and it is not easy to give a natnral and intelligible meaning to it. The...
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the works of archimedes

Arhimēdēs - 2004 - 522 pagina’s
...that every cone is one third part of the cylinder having the same base as the cone and equal height they proved by assuming a certain lemma similar to...each of the aforesaid theorems has been accepted* no less than those proved without the lemma. As therefore my work now published has satisfied the same...
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