The Elements of EuclidA. Foulis, 1838 - 466 sider |
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Resultat 1-3 av 7
Side 391
... given in species , Let the fides AB , BC about the acute angle ABC of the tri- angle ABC which has a right angle at A , have a given ratio to one another ; the triangle ABC is given in species . a 43 . Take a ftraight line DE given in ...
... given in species , Let the fides AB , BC about the acute angle ABC of the tri- angle ABC which has a right angle at A , have a given ratio to one another ; the triangle ABC is given in species . a 43 . Take a ftraight line DE given in ...
Side 397
... given in fpecies , a ftraight line be drawn to the bafe in a given angle ; it fhall have a given ratio to the bafe ... species , are di- vided into triangles which are given in fpecies . Let the rectilineal figure ABCDE be given in ...
... given in fpecies , a ftraight line be drawn to the bafe in a given angle ; it fhall have a given ratio to the bafe ... species , are di- vided into triangles which are given in fpecies . Let the rectilineal figure ABCDE be given in ...
Side 427
... given ratio to one another , and let the perpendicular AD have a given ratio to the base BC ; the triangle ABC is given in species . First , let the fides AB , AC be equal to one another , therefore the perpendicular AD bisects the base ...
... given ratio to one another , and let the perpendicular AD have a given ratio to the base BC ; the triangle ABC is given in species . First , let the fides AB , AC be equal to one another , therefore the perpendicular AD bisects the base ...
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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