The Elements of EuclidA. Foulis, 1838 - 466 páginas |
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Página 14
... common to the two triangles ACD , BCD ; the two fides AC , CD are equal to BC , CD , each to each ; and the angle ACD is equal to the angle BCD ; there- fore the bafe AD is equal to the base c DB , and the straight line AB is divided ...
... common to the two triangles ACD , BCD ; the two fides AC , CD are equal to BC , CD , each to each ; and the angle ACD is equal to the angle BCD ; there- fore the bafe AD is equal to the base c DB , and the straight line AB is divided ...
Página 204
... common fec- tion fhall be perpendicular to the fame plane . Let the two planes AB , BC be each of them perpendicular to a third planc , and let BD be the common fection of the first two , BD is perpendicular to the third plane . B If it ...
... common fec- tion fhall be perpendicular to the fame plane . Let the two planes AB , BC be each of them perpendicular to a third planc , and let BD be the common fection of the first two , BD is perpendicular to the third plane . B If it ...
Página 15
... common , and the angles DEF , DHF are right angles ; therefore EF , FH are equal ; and in the triangles FEG , FHG the fide GF is common and the fides EG , GH will be equal by the 47. 1. and therefore the angle FEG is equal to FHG ; ( 8 ...
... common , and the angles DEF , DHF are right angles ; therefore EF , FH are equal ; and in the triangles FEG , FHG the fide GF is common and the fides EG , GH will be equal by the 47. 1. and therefore the angle FEG is equal to FHG ; ( 8 ...
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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