The Elements of Euclid |
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Página 85
Na circle , the angle in a semicircle is a right angle ; IN but the angle in a segment greater than a femicircle is ... BAC is equal to the two angles ABC , ACB . but FAC , the exterior angle of the triangle ABC , is equal b to the two ...
Na circle , the angle in a semicircle is a right angle ; IN but the angle in a segment greater than a femicircle is ... BAC is equal to the two angles ABC , ACB . but FAC , the exterior angle of the triangle ABC , is equal b to the two ...
Página 205
THEOR . a folid angle be contained by three plane angles , See N. any two of them are greater than the third . Let the folid angle at A be contained by the three plane angles BAC , CAD , DAB . any two of them are greater than the third ...
THEOR . a folid angle be contained by three plane angles , See N. any two of them are greater than the third . Let the folid angle at A be contained by the three plane angles BAC , CAD , DAB . any two of them are greater than the third ...
Página 425
OPQ . because , as has been fhewn , the ratio of AD to BC is the fame with the ratio of ( HF to FL , that is , by the construction , with the ratio of ) OR to PQ ; and the angle BAC is equal to the angle POQ , therefore the triangle ABC ...
OPQ . because , as has been fhewn , the ratio of AD to BC is the fame with the ratio of ( HF to FL , that is , by the construction , with the ratio of ) OR to PQ ; and the angle BAC is equal to the angle POQ , therefore the triangle ABC ...
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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