The Elements of EuclidA. Foulis, 1838 - 466 páginas |
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Página 68
... taken within a circle , from which there fall more than two equal straight lines to the cir- cumference , that point is the center of the circle . Let the point D be taken within the circle ABC , from which to the circumference there ...
... taken within a circle , from which there fall more than two equal straight lines to the cir- cumference , that point is the center of the circle . Let the point D be taken within the circle ABC , from which to the circumference there ...
Página 135
... taken equimultiples GK , LN ; and of EB , FD , the equimultiples HO , MP ; if GK be greater than HO , LN is greater ... taken from the firft is to a magnitude taken from the other ; the remainder fhall be to the remain . der as the whole ...
... taken equimultiples GK , LN ; and of EB , FD , the equimultiples HO , MP ; if GK be greater than HO , LN is greater ... taken from the firft is to a magnitude taken from the other ; the remainder fhall be to the remain . der as the whole ...
Página 136
... taken jointly be pro- portionals , they are alfo proportionals b when Laken feparately ; therefore as BE is to EA ... taken from the firft is to a magnitude taken from the other ; the remainder likewife is to the remainder , as the ...
... taken jointly be pro- portionals , they are alfo proportionals b when Laken feparately ; therefore as BE is to EA ... taken from the firft is to a magnitude taken from the other ; the remainder likewife is to the remainder , as the ...
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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