The Elements of EuclidA. Foulis, 1838 - 466 páginas |
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Página 359
... given in magnitude , when equals to them can be found . II . A ratio is faid to be given , when a ratio of a given ... position , which is contained by ftraight lines given in pofition . V. A circle is faid to be given in magnitude ...
... given in magnitude , when equals to them can be found . II . A ratio is faid to be given , when a ratio of a given ... position , which is contained by ftraight lines given in pofition . V. A circle is faid to be given in magnitude ...
Página 381
... position . It is to be obferved that there are two ftraight lines EC , GC ... given point , to a ftraight line given in position , and makes a given angle with it ; that ftraight ... given , wherefore alfo the angle EAD is given . DATA . 381.
... position . It is to be obferved that there are two ftraight lines EC , GC ... given point , to a ftraight line given in position , and makes a given angle with it ; that ftraight ... given , wherefore alfo the angle EAD is given . DATA . 381.
Página 387
... given in position . In AB take a given point L , and draw LM perpendicular to CD , meeting HK in N. because LM is drawn from the given point L to CD which is given in position , and makes a given angle LMD ; LM is given in pofition ...
... given in position . In AB take a given point L , and draw LM perpendicular to CD , meeting HK in N. because LM is drawn from the given point L to CD which is given in position , and makes a given angle LMD ; LM is given in pofition ...
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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