The Elements of EuclidA. Foulis, 1838 - 466 páginas |
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Página 171
... rectilineal figure , are alfo fimilar to one another . Let each of the rectilineal figures A , B be fimilar to the recti- lineal figure C. the figure A is fimilar to the figure B. Book VI . Because A is fimilar to C , they are ...
... rectilineal figure , are alfo fimilar to one another . Let each of the rectilineal figures A , B be fimilar to the recti- lineal figure C. the figure A is fimilar to the figure B. Book VI . Because A is fimilar to C , they are ...
Página 172
... rectilineal KAB to W the rectilineal LCD , and as EF to O , fo is 4 the rectilineal MF to d . 2. Cor . the rectilineal NH . therefore as KAB to LCD , fob is MF to NH . 20.6 . b . 11. 5 . C. 12. 6 . f . 18. 6 . And if the rectilineal KAB ...
... rectilineal KAB to W the rectilineal LCD , and as EF to O , fo is 4 the rectilineal MF to d . 2. Cor . the rectilineal NH . therefore as KAB to LCD , fob is MF to NH . 20.6 . b . 11. 5 . C. 12. 6 . f . 18. 6 . And if the rectilineal KAB ...
Página 402
... rectilineal figure given in fpecies be defcribed upon a ftraight line given in magnitude ; the figure is given in magnitude . Let the rectilineal figure ABCDE given in species be described upon the ftraight line AB given in magnitude ...
... rectilineal figure given in fpecies be defcribed upon a ftraight line given in magnitude ; the figure is given in magnitude . Let the rectilineal figure ABCDE given in species be described upon the ftraight line AB given in magnitude ...
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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