The Elements of Euclid |
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Página 263
120 with that of the cylinder , is greater than the triple of the cone . but this prism is triple of the pyramid upon the fame bafe , of which d . 1. Cor . the vertex is the fame with the vertex of the cone ; therefore the pyramid upon ...
120 with that of the cylinder , is greater than the triple of the cone . but this prism is triple of the pyramid upon the fame bafe , of which d . 1. Cor . the vertex is the fame with the vertex of the cone ; therefore the pyramid upon ...
Página 264
Book XII . ing their vertices the fame with that of the cone , and fo on , there See N. ΙΔ H G nuft at length remain fome fegments of the cone which together fhall be less than the excess of the cone above the third part of the cylinder ...
Book XII . ing their vertices the fame with that of the cone , and fo on , there See N. ΙΔ H G nuft at length remain fome fegments of the cone which together fhall be less than the excess of the cone above the third part of the cylinder ...
Página 271
the cone EFGHN to fome folid , which must be less i than the cone Book XII . ABCDL , because the folid Z is greater than the cone EFGHN . therefore the cone EFGHN has to a folid which is less than the cone i . 14. 5 .
the cone EFGHN to fome folid , which must be less i than the cone Book XII . ABCDL , because the folid Z is greater than the cone EFGHN . therefore the cone EFGHN has to a folid which is less than the cone i . 14. 5 .
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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 |