The Elements of Euclid |
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Página 222
11. parts Ꭰ H Firft , Let the parallelograms DG , HN which are opposite to the bafe AB have a common fide HG . then becaufe the folid AH is cut by the plane AGHC paffing thro ' the diagonals AG , CH of the oppofite planes ALGF , CBHD ...
11. parts Ꭰ H Firft , Let the parallelograms DG , HN which are opposite to the bafe AB have a common fide HG . then becaufe the folid AH is cut by the plane AGHC paffing thro ' the diagonals AG , CH of the oppofite planes ALGF , CBHD ...
Página 253
ABC to the triangle DEF , fo is the prifm having the triangle LXC e II . for its bafe , and OMN the triangle oppofite to it , to the prifm of e . Cor . 32 . which the base is the triangle RVF , and the oppofite triangle STY . and ...
ABC to the triangle DEF , fo is the prifm having the triangle LXC e II . for its bafe , and OMN the triangle oppofite to it , to the prifm of e . Cor . 32 . which the base is the triangle RVF , and the oppofite triangle STY . and ...
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N a right angled plain triangle , if the hypothenufe be made radius , the fides become the fines of the angles oppofite to them ; and if either fide be made radius , the remaining fide is the tangent of the angle oppofite to it ...
N a right angled plain triangle , if the hypothenufe be made radius , the fides become the fines of the angles oppofite to them ; and if either fide be made radius , the remaining fide is the tangent of the angle oppofite to it ...
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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