The Elements of EuclidA. Foulis, 1838 - 466 páginas |
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Página 41
... described upon the straight line BC , and the squares GB , HC upon BA , AC . wherefore the fquare upon the fide BC is equal to the fquares upon the fides BA , AC . Therefore in any right angled triangle , & c . Q. E. D. IF PROP . XLVIII ...
... described upon the straight line BC , and the squares GB , HC upon BA , AC . wherefore the fquare upon the fide BC is equal to the fquares upon the fides BA , AC . Therefore in any right angled triangle , & c . Q. E. D. IF PROP . XLVIII ...
Página 107
... described from the center F , at the distance of one of them , fhall pafs thro ' the extremities of the other four , and be described about the equilateral and equiangular pen- tagon ABCDE . Which was to be done . Book IV . See N. a . 5 ...
... described from the center F , at the distance of one of them , fhall pafs thro ' the extremities of the other four , and be described about the equilateral and equiangular pen- tagon ABCDE . Which was to be done . Book IV . See N. a . 5 ...
Página 353
... described in the other sphere fimilar to that which is de- fcribed in the sphere BCDE . but as the Construction by which this may be done is not given , it was thought proper to give it , and to demonftrate that the pyramids in it are ...
... described in the other sphere fimilar to that which is de- fcribed in the sphere BCDE . but as the Construction by which this may be done is not given , it was thought proper to give it , and to demonftrate that the pyramids in it are ...
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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