The Elements of EuclidA. Foulis, 1838 - 466 sider |
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Resultat 1-3 av 86
Side 361
... because BC is given , one equal to it may be found ; let this be EF . wherefore because AB is equal to DE , and BC equal to EF ; the whole AC is equal to the whole DF . AC is there- fore given , because DF has been found , which is ...
... because BC is given , one equal to it may be found ; let this be EF . wherefore because AB is equal to DE , and BC equal to EF ; the whole AC is equal to the whole DF . AC is there- fore given , because DF has been found , which is ...
Side 410
... because the ratio of EB to FD is given . and because the G ratio of AE to EG , as alfo the ratio of FC to EG is given ; the b . 9. Dat . ratio of AE to CF is given b . 69 . HKL BF D The ratio of AE to CF may be found thus ; take a ...
... because the ratio of EB to FD is given . and because the G ratio of AE to EG , as alfo the ratio of FC to EG is given ; the b . 9. Dat . ratio of AE to CF is given b . 69 . HKL BF D The ratio of AE to CF may be found thus ; take a ...
Side 435
... because DB is equal to BA , and the angle ABD given , because the adjacent angle ABC is F given ; the parallelogram AD is given in fpecies . and because AB , BC together are given , and A $ 5 . AB is equal to BD ; therefore DC is given ...
... because DB is equal to BA , and the angle ABD given , because the adjacent angle ABC is F given ; the parallelogram AD is given in fpecies . and because AB , BC together are given , and A $ 5 . AB is equal to BD ; therefore DC is given ...
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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