The Elements of EuclidA. Foulis, 1838 - 466 sider |
Inni boken
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Side 215
... solid figure AG be applied to the folid figure KQ , first , the plane figure AC being applied to the plane figure KM ; the ftraight line AB coin- H G R ciding with KL , the E figure AC muft co- F 0 incide with the figureD C N KM ...
... solid figure AG be applied to the folid figure KQ , first , the plane figure AC being applied to the plane figure KM ; the ftraight line AB coin- H G R ciding with KL , the E figure AC muft co- F 0 incide with the figureD C N KM ...
Side 339
... solid angles are equal which are con- tained by the fame number of plane angles that are equal to one ano- ther , each to each . alfo it is plain that the 26. Prop . of Book II . is by no means fufficiently demonftrated , because the ...
... solid angles are equal which are con- tained by the fame number of plane angles that are equal to one ano- ther , each to each . alfo it is plain that the 26. Prop . of Book II . is by no means fufficiently demonftrated , because the ...
Side 353
... solid ро lyhedron is described in the other sphere fimilar to that which is de- fcribed in the sphere BCDE . but as the Construction by which this may be done is not given , it was thought proper to give it , and to demonftrate that the ...
... solid ро lyhedron is described in the other sphere fimilar to that which is de- fcribed in the sphere BCDE . but as the Construction by which this may be done is not given , it was thought proper to give it , and to demonftrate that the ...
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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