The Elements of EuclidA. Foulis, 1838 - 466 páginas |
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Página 336
... excess of A above B and C. take therefore any magnitude D which is less than A , B , C together , but greater than the excess of A above B and C. then B , C , D together are greater than A ; and becaufe A is greater than either B or C ...
... excess of A above B and C. take therefore any magnitude D which is less than A , B , C together , but greater than the excess of A above B and C. then B , C , D together are greater than A ; and becaufe A is greater than either B or C ...
Página 377
... excess of one of them CD above the given magnitude CG have a given ratio to AB ; and alfo let KD the excess of the fame CD above the given magnitude CK have a given ratio to EF . either AB has a given ratio to EF , or the excefs of one ...
... excess of one of them CD above the given magnitude CG have a given ratio to AB ; and alfo let KD the excess of the fame CD above the given magnitude CK have a given ratio to EF . either AB has a given ratio to EF , or the excefs of one ...
Página 32
... excess of the hypothenufe above either of the fides to the verfed fine of the acute angle adjacent to that fide , or as the fum of the hypo- thenufe , and either of the fides to the verfed fine of the exterior angle of the triangle ...
... excess of the hypothenufe above either of the fides to the verfed fine of the acute angle adjacent to that fide , or as the fum of the hypo- thenufe , and either of the fides to the verfed fine of the exterior angle of the triangle ...
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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