The Elements of EuclidA. Foulis, 1838 - 466 sider |
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Side 99
... circle falls within the triangle , each of its angles is lefs than a right angle , each of them being in a fegment ... ABCD be the given circle ; it is required to infcribe fquare in ABCD . Draw the diameters AC , BD at right angles to ...
... circle falls within the triangle , each of its angles is lefs than a right angle , each of them being in a fegment ... ABCD be the given circle ; it is required to infcribe fquare in ABCD . Draw the diameters AC , BD at right angles to ...
Side 248
... circle ABCD is to the space S , fo is the polygon AXBOCPDR to the polygon EKFLGMHN . but the circle ABCD is greater than the polygon contained in it ; where- fore the space S is greater than the polygon EKFLGMHN . but it is likewife ...
... circle ABCD is to the space S , fo is the polygon AXBOCPDR to the polygon EKFLGMHN . but the circle ABCD is greater than the polygon contained in it ; where- fore the space S is greater than the polygon EKFLGMHN . but it is likewife ...
Side 249
Euclid Robert Simson. the fquare of BD , fo is the circle EFGH to a space lefs than the Book XII . circle ABCD , which has been demonstrated to be impoffible . there- fore the fquare of BD is not to the fquare of FH , as the circle ABCD ...
Euclid Robert Simson. the fquare of BD , fo is the circle EFGH to a space lefs than the Book XII . circle ABCD , which has been demonstrated to be impoffible . there- fore the fquare of BD is not to the fquare of FH , as the circle ABCD ...
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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