The Elements of EuclidA. Foulis, 1838 - 466 páginas |
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Página 71
... reafon CD is double of CG . and AB is equal to CD , therefore AFis equal to CG . and becaufe AE is equal to EC , the fquare of AE is equal to the fquare of EC . but the fquares of AF , FE are equal to the fquare of AE , because the ...
... reafon CD is double of CG . and AB is equal to CD , therefore AFis equal to CG . and becaufe AE is equal to EC , the fquare of AE is equal to the fquare of EC . but the fquares of AF , FE are equal to the fquare of AE , because the ...
Página 228
... reafon that the folids AB , CD are fimilar ; therefore the parallelogram KL is fimilar and equal to the parallelogram CN . for the fame reafon , the parallelogram MK is fimilar and equal to CR , and alfo OE to FD . therefore three ...
... reafon that the folids AB , CD are fimilar ; therefore the parallelogram KL is fimilar and equal to the parallelogram CN . for the fame reafon , the parallelogram MK is fimilar and equal to CR , and alfo OE to FD . therefore three ...
Página 308
... reafon why one is preferable to the other . PROP . VI . B. V. There are two cafes of this Propofition , of which only the first and fimpleft is demonstrated in the Greek . and it is probable Theon thought it was fufficient to give this ...
... reafon why one is preferable to the other . PROP . VI . B. V. There are two cafes of this Propofition , of which only the first and fimpleft is demonstrated in the Greek . and it is probable Theon thought it was fufficient to give this ...
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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