The Elements of EuclidA. Foulis, 1838 - 466 páginas |
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Página 114
... first rank , as the first to the fecond of the other rank ; and as the second is to the third of the first rank , fo is the second to the third of the other ; and fo on in order , and the inference is as mentioned in the preceding ...
... first rank , as the first to the fecond of the other rank ; and as the second is to the third of the first rank , fo is the second to the third of the other ; and fo on in order , and the inference is as mentioned in the preceding ...
Página 321
... first to the fecond ; and the ratio of the first to the fourth , " the Triplicate ratio of the first to the fecond ; that is , the ratio compounded of two or three intermediate ratios that are equal " to one another , and so on ; fo in ...
... first to the fecond ; and the ratio of the first to the fourth , " the Triplicate ratio of the first to the fecond ; that is , the ratio compounded of two or three intermediate ratios that are equal " to one another , and so on ; fo in ...
Página 324
... first A has to the last D is fignified , and by which at the fame time the ratios of all the magnitudes A to B , B to C , C to D from the first to the laft , to one another , whether they be the fame , or be not the fame , are indicated ...
... first A has to the last D is fignified , and by which at the fame time the ratios of all the magnitudes A to B , B to C , C to D from the first to the laft , to one another , whether they be the fame , or be not the fame , are indicated ...
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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