The Elements of EuclidA. Foulis, 1838 - 466 sider |
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Side 360
... given magnitude , when this given magnitude being added to it , the whole is equal to the other magnitude . THE PROPOSITION I. HE ratios of given magnitudes to one another is given . a Let A , B be two given magnitudes , the ratio of A ...
... given magnitude , when this given magnitude being added to it , the whole is equal to the other magnitude . THE PROPOSITION I. HE ratios of given magnitudes to one another is given . a Let A , B be two given magnitudes , the ratio of A ...
Side 368
Euclid Robert Simson. tude CD ; CD together with a given magnitude has a given ratio to AB . A E B Becaufe the ratio ... given ratio . Let the excess of the magnitude AB above a given 368 EUCLID'S.
Euclid Robert Simson. tude CD ; CD together with a given magnitude has a given ratio to AB . A E B Becaufe the ratio ... given ratio . Let the excess of the magnitude AB above a given 368 EUCLID'S.
Side 377
... 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 of them above a given magnitude has ...
... 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 of them above a given magnitude has ...
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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