The Elements of EuclidA. Foulis, 1838 - 466 páginas |
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Página 360
... given magnitude , when this given magnitude being added to it , the whole is equal to the other magnitude . PROPOSITION I. THE ratios of given magnitudes to one another is given . 2 Let A , B be two given magnitudes , the ratio of A to ...
... given magnitude , when this given magnitude being added to it , the whole is equal to the other magnitude . PROPOSITION I. THE ratios of given magnitudes to one another is given . 2 Let A , B be two given magnitudes , the ratio of A to ...
Página 368
Euclid Robert Simson. tude CD ; CD together with a given magnitude has a given ratio to AB . Because the ratio of AE ... given ratio . " Let the excefs of the magnitude AB above a 368 EUCLID'S.
Euclid Robert Simson. tude CD ; CD together with a given magnitude has a given ratio to AB . Because the ratio of AE ... given ratio . " Let the excefs of the magnitude AB above a 368 EUCLID'S.
Página 377
... magnitude CG have a given ratio to AB ; and alfo let KD the excefs of the fame CD above the given magnitude CK have ... given ratio to C , therefore the ratio of CE FB to GE is given . and from FB , GE the given magnitudes AF , DG being ...
... magnitude CG have a given ratio to AB ; and alfo let KD the excefs of the fame CD above the given magnitude CK have ... given ratio to C , therefore the ratio of CE FB to GE is given . and from FB , GE the given magnitudes AF , DG being ...
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Términos y frases comunes
added alfo alſo altitude angle ABC angle BAC bafe baſe becauſe bifected Book Book XI circle circle ABCD circumference common cone cylinder defcribed Definition demonftrated diameter divided double draw drawn equal equal angles equiangular equimultiples excefs fame fame multiple fecond fegment fhall fhewn fides fimilar firft firſt folid folid angle fore four fourth fquare fquare of BC ftraight line given angle given ftraight line given in fpecies given in pofition given magnitude given ratio greater Greek half join lefs magnitude manner meet oppofite parallel parallelogram perpendicular plane produced PROP Propofition proportionals pyramid reafon rectangle remaining right angles ſphere taken THEOR theſe third thro triangle ABC wherefore whole