The Elements of EuclidA. Foulis, 1838 - 466 páginas |
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Página 85
... angle in the femicircle BAC is a right angle ; and the angle in the fegment ABC , which is greater than a femicircle , is less than a right angle ; and the angle in the fegment ADC which is less than a femicircle is greater than a right ...
... angle in the femicircle BAC is a right angle ; and the angle in the fegment ABC , which is greater than a femicircle , is less than a right angle ; and the angle in the fegment ADC which is less than a femicircle is greater than a right ...
Página 183
... angle BAC was proved n to be equal to ACD . therefore the whole angle ACE is equal to b . 6. 6 . the two angles ABC , BAC . add the common angle ACB , then the angles ACE , ACB are equal to the angles ABC , BAC , ACB . but ABC , BAC ...
... angle BAC was proved n to be equal to ACD . therefore the whole angle ACE is equal to b . 6. 6 . the two angles ABC , BAC . add the common angle ACB , then the angles ACE , ACB are equal to the angles ABC , BAC , ACB . but ABC , BAC ...
Página 205
... angle at A be contained by the three plane angles BAC , CAD , DAB . any two of them are greater than the third . If the angles BAC , CAD , DAB be all equal , it is evident that any two of them are greater than the third . but if they ...
... angle at A be contained by the three plane angles BAC , CAD , DAB . any two of them are greater than the third . If the angles BAC , CAD , DAB be all equal , it is evident that any two of them are greater than the third . but if they ...
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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