The Elements of Euclid |
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Página 254
ABC to the bafe DEF , fo are the two prifms in the pyramid ABCG to the two prifins in the pyramid DEFH ; and fo are the ... of the prifims made by dividing the pyramids AKLO and DPRS , and of all made by the fame number of divifions .
ABC to the bafe DEF , fo are the two prifms in the pyramid ABCG to the two prifins in the pyramid DEFH ; and fo are the ... of the prifims made by dividing the pyramids AKLO and DPRS , and of all made by the fame number of divifions .
Página 255
therefore the bafe ABC is not to the base DEF , as the pyramid Book XII . ABCG to any folid which is lefs than the pyramid DEFH . in the fame manner it may be demonftrated , that the bafe DEF is not to the bafe ABC , as the pyramid DEFH ...
therefore the bafe ABC is not to the base DEF , as the pyramid Book XII . ABCG to any folid which is lefs than the pyramid DEFH . in the fame manner it may be demonftrated , that the bafe DEF is not to the bafe ABC , as the pyramid DEFH ...
Página 351
fo the pyramid LGHN , and the pyramid ECDM to LHKN . and Book XII . because the pyramids EABM , LFGN are fimilar , and have trian - n gular bafes , the pyramid EABM has f to LFGN the triplicate ratio f . 8. 12 . of that which EB has to ...
fo the pyramid LGHN , and the pyramid ECDM to LHKN . and Book XII . because the pyramids EABM , LFGN are fimilar , and have trian - n gular bafes , the pyramid EABM has f to LFGN the triplicate ratio f . 8. 12 . of that which EB has to ...
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added alfo alſo altitude angle ABC angle BAC bafe baſe becauſe bifected Book Book XI circle circle ABCD circumference common cone cylinder defcribed Definition demonftrated diameter divided double draw drawn equal equal angles equiangular equimultiples excefs fame fame multiple fecond fegment fhall fhewn fides fimilar firft firſt folid folid angle fore four fourth fquare fquare of BC ftraight line given angle given ftraight line given in fpecies given in pofition given magnitude given ratio greater Greek half join lefs magnitude manner meet oppofite parallel parallelogram perpendicular plane produced PROP Propofition proportionals pyramid reafon rectangle remaining right angles ſphere taken THEOR theſe third thro triangle ABC wherefore whole
Información bibliográfica
| Título | The Elements of Euclid |
| Autor | Euclid |
| Editor | Robert Simson |
| Editor | A. Foulis, 1838 |
| Procedencia del original | de la Universidad de Virginia |
| Digitalizado | 6 Oct. 2010 |
| Largo | 466 páginas |
| Exportar cita | BiBTeX EndNote RefMan |