The Elements of EuclidA. Foulis, 1838 - 466 páginas |
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Página 148
... bafe BC is to the bafe CD , fo is the triangle ABC to the triangle ACD , and the parallelogram EC to the parallelogram CF. Produce BD both ways to the points H , L , and take any num- ber of ftraight lines BG , GH , each equal to the ...
... bafe BC is to the bafe CD , fo is the triangle ABC to the triangle ACD , and the parallelogram EC to the parallelogram CF. Produce BD both ways to the points H , L , and take any num- ber of ftraight lines BG , GH , each equal to the ...
Página 232
... bafe EH to the bafe NP ; for the folids AB , CV are of the fame altitude ; b . 32. 11. and as the folid CD to CV , fo is the bafe MP to the bafe PT , and fod is the ftraight lins MC to CT ; and CT is equal to AG . therefore as the bafe ...
... bafe EH to the bafe NP ; for the folids AB , CV are of the fame altitude ; b . 32. 11. and as the folid CD to CV , fo is the bafe MP to the bafe PT , and fod is the ftraight lins MC to CT ; and CT is equal to AG . therefore as the bafe ...
Página 253
Euclid Robert Simson. II . therefore as the bafe LXC to the bafe RVF ; that is , as the triangle Book XII . ABC to the triangle DEF , fo is the prifm having the triangle LXC in for its base , and OMN the triangle oppofite to it , to the ...
Euclid Robert Simson. II . therefore as the bafe LXC to the bafe RVF ; that is , as the triangle Book XII . ABC to the triangle DEF , fo is the prifm having the triangle LXC in for its base , and OMN the triangle oppofite to it , to the ...
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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