The Elements of EuclidA. Foulis, 1838 - 466 páginas |
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Página 254
... pyramid ABCG to the two prifins in the pyramid DEFH ; and fo are the two prifms in the pyramid OMNG to the two prifms in the pyramid STYH ; and fo are all four to all four . and the fame thing may be fhewn of the prifins made by ...
... pyramid ABCG to the two prifins in the pyramid DEFH ; and fo are the two prifms in the pyramid OMNG to the two prifms in the pyramid STYH ; and fo are all four to all four . and the fame thing may be fhewn of the prifins made by ...
Página 255
... pyramid Book XII . ABCG to any folid which is lefs than the pyramid DEFH . in the fame manner it may be demonftrated , that the base DEF is not to the bafe ABC , as the pyramid DEFH to any folid which is lefs than the pyramid ABCG . Nor ...
... pyramid Book XII . ABCG to any folid which is lefs than the pyramid DEFH . in the fame manner it may be demonftrated , that the base DEF is not to the bafe ABC , as the pyramid DEFH to any folid which is lefs than the pyramid ABCG . Nor ...
Página 351
Euclid Robert Simson. 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 bases , the pyramid EABM has f to LFGN the triplicate ratio f . 8. 12 . of ...
Euclid Robert Simson. 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 bases , the pyramid EABM has f to LFGN the triplicate ratio f . 8. 12 . of ...
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Términos y frases comunes
AC is equal alfo alſo angle ABC angle BAC bafe baſe BC is given becauſe the angle bifected Book XI cafe circle ABCD circumference cone confequently conftruction cylinder defcribed demonftrated diameter drawn equal angles equiangular equimultiples Euclid excefs faid fame manner fame multiple fame ratio fame reafon fecond fegment fhall fhewn fide BC fides fimilar fince firft firſt folid angle fome fore fquare of AC ftraight line AB given angle given ftraight line given in fpecies given in magnitude given in pofition given magnitude given ratio gnomon greater join lefs leſs likewife line BC muſt oppofite parallel parallelepipeds parallelogram perpendicular prifms Propofition proportionals pyramid rectangle contained rectilineal figure right angles ſhall ſphere ſquare thefe THEOR theſe thro tiple triangle ABC wherefore