The Elements of EuclidA. Foulis, 1838 - 466 páginas |
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Página 148
... bafe BC ; and DK , KL , any number of them , each equal to the bafe CD ; and joint AG , AH , AK , AL . then becaufe CB , BG , GH are all equal , the a 38. 1. triangles AHG , AGB , ABC are all equal . therefore whatever multiple the bafe ...
... bafe BC ; and DK , KL , any number of them , each equal to the bafe CD ; and joint AG , AH , AK , AL . then becaufe CB , BG , GH are all equal , the a 38. 1. triangles AHG , AGB , ABC are all equal . therefore whatever multiple the bafe ...
Página 232
... bafe EH to the bafe NP ; for the folids AB , CV are of the fame altitude ; b . 32. 11. and as the folid CD to CV , fo is the base MP to the base PT , and fo is the ftraight line MC to CT ; and CT is equal to AG . therefore as the bafe ...
... bafe EH to the bafe NP ; for the folids AB , CV are of the fame altitude ; b . 32. 11. and as the folid CD to CV , fo is the base MP to the base PT , and fo is the ftraight line MC to CT ; and CT is equal to AG . therefore as the bafe ...
Página 255
... bafe DEF is not to the bafe ABC , as the pyramid DEFH to any folid which is lefs than the pyramid ABCG . Nor can the bafe ABC be to the base DEF , as the pyramid ABCG to any folid which is greater than the pyramid DEFH . for , if it be ...
... bafe DEF is not to the bafe ABC , as the pyramid DEFH to any folid which is lefs than the pyramid ABCG . Nor can the bafe ABC be to the base DEF , as the pyramid ABCG to any folid which is greater than the pyramid DEFH . for , if it be ...
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Términos y frases comunes
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