The Elements of EuclidA. Foulis, 1838 - 466 páginas |
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Página 8
... fhall be equal to AD . but the straight line C is likewife equal to AD , whence AE and C are each of 1. Ax . them ... fhall likewife have their bases , or third fides , equal ; and the two triangles fhall be equal ; and their other ...
... fhall be equal to AD . but the straight line C is likewife equal to AD , whence AE and C are each of 1. Ax . them ... fhall likewife have their bases , or third fides , equal ; and the two triangles fhall be equal ; and their other ...
Página 9
... fhall be e- equal to the bafe EF ; and the triangle ABC to the triangle DEF ; and the other angles , to which the ... fhall coin- cide with the point F , because the straight line AC is equal to DF . but the point B coincides with the ...
... fhall be e- equal to the bafe EF ; and the triangle ABC to the triangle DEF ; and the other angles , to which the ... fhall coin- cide with the point F , because the straight line AC is equal to DF . but the point B coincides with the ...
Página 135
... fhall be to EB , as LN to FD4 . but HO is equal to EB , and MP to FD ; wherefore GK is to HO , as d . Cor . 4-5 . LN ... fhall be to the remain . der as the whole to the whole . Let the whole AB be to the whole CD , as AE a magnitude ...
... fhall be to EB , as LN to FD4 . but HO is equal to EB , and MP to FD ; wherefore GK is to HO , as d . Cor . 4-5 . LN ... fhall be to the remain . der as the whole to the whole . Let the whole AB be to the whole CD , as AE a magnitude ...
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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