The Elements of Euclid |
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Página 10
... therefore the base FC is equal to the bafe GB , and the triangle AFC to the triangle AGB , and the remaining angles of the one are equal to the remaining angles of the other , each to each , to which the equal fides are oppofite ...
... therefore the base FC is equal to the bafe GB , and the triangle AFC to the triangle AGB , and the remaining angles of the one are equal to the remaining angles of the other , each to each , to which the equal fides are oppofite ...
Página 155
1 , FDG equal to either of the angles BAC , EDF ; and the angle DFG equal to the angle ACB . where- fore the remaining angle at B is equal to the remaining one at Gb , and confequently the tri- angle ABC is equiangular to the triangle ...
1 , FDG equal to either of the angles BAC , EDF ; and the angle DFG equal to the angle ACB . where- fore the remaining angle at B is equal to the remaining one at Gb , and confequently the tri- angle ABC is equiangular to the triangle ...
Página 166
Join DF , and at the points A , B in the ftraight line AB make the angle BAG equal to the angle at C , and the angle ABG equal to the angle CDF ; therefore the remaining angle CFD is equal to the G H F p . 32. 1. remaining angle AGB ...
Join DF , and at the points A , B in the ftraight line AB make the angle BAG equal to the angle at C , and the angle ABG equal to the angle CDF ; therefore the remaining angle CFD is equal to the G H F p . 32. 1. remaining angle AGB ...
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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