The Elements of EuclidA. Foulis, 1838 - 466 páginas |
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Página 45
... BC , for BE is equal to AB . therefore the rectangle contained by AB , AC together with the rectangle AB , BC , is ... square of BC . therefore the rectangle AB , BC is equal to the rectangle AC , CB together with the fquare of BC . If ...
... BC , for BE is equal to AB . therefore the rectangle contained by AB , AC together with the rectangle AB , BC , is ... square of BC . therefore the rectangle AB , BC is equal to the rectangle AC , CB together with the fquare of BC . If ...
Página 441
... BC is to the rectangle AB , BC as ( the straight line AL to AB , that is as EG to EF , that is as ) the rectangle EG ... square of the other ; each of the ftraight lines fhall be given . Let the two ftraight lines AB , BC contain the ...
... BC is to the rectangle AB , BC as ( the straight line AL to AB , that is as EG to EF , that is as ) the rectangle EG ... square of the other ; each of the ftraight lines fhall be given . Let the two ftraight lines AB , BC contain the ...
Página 463
... square of FE is to the fquare of GL , as the fquare of BA which is equal to the rectangle BC , CD is to the fquare of BD , the ratio of which spaces is the next thing faid to be given . and from this it follows that four times the ...
... square of FE is to the fquare of GL , as the fquare of BA which is equal to the rectangle BC , CD is to the fquare of BD , the ratio of which spaces is the next thing faid to be given . and from this it follows that four times 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