The Elements of EuclidA. Foulis, 1838 - 466 páginas |
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Página 13
... fides BA , CA do not coincide with the fides ED , FD , but have a different fituation , as EG , FG ; then upon the fame bafe EF and upon the fame fide of it there can be two triangles that have their fides which are terminated in one ...
... fides BA , CA do not coincide with the fides ED , FD , but have a different fituation , as EG , FG ; then upon the fame bafe EF and upon the fame fide of it there can be two triangles that have their fides which are terminated in one ...
Página 20
... fides of it together are great- er than the third fide , viz . the fides BA , AC greater than the fle BC ; and AB , BC greater than AC ; and BC , CA greater than AB . Produce BA to the point D , and make AD equal to AC , and join DC ...
... fides of it together are great- er than the third fide , viz . the fides BA , AC greater than the fle BC ; and AB , BC greater than AC ; and BC , CA greater than AB . Produce BA to the point D , and make AD equal to AC , and join DC ...
Página 23
... fides DE , DF let DE be the fide which is not greater than the other , and at the point D in the straight line DE make the angle EDG equal to the angle BAC ; and make DG a . 13. 1 . b equal to AC or DF , and join EG , GF . Because AB is ...
... fides DE , DF let DE be the fide which is not greater than the other , and at the point D in the straight line DE make the angle EDG equal to the angle BAC ; and make DG a . 13. 1 . b equal to AC or DF , and join EG , GF . Because AB is ...
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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