The Elements of EuclidA. Foulis, 1838 - 466 sider |
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Resultat 1-3 av 82
Side 199
... perpendicular to GH . and AF is perpendicular to DE ; therefore AF is perpendicular to each of the ftraight lines GH , DE . but if a straight line stands at right angles to each of two straight lines in the point of their interfection ...
... perpendicular to GH . and AF is perpendicular to DE ; therefore AF is perpendicular to each of the ftraight lines GH , DE . but if a straight line stands at right angles to each of two straight lines in the point of their interfection ...
Side 201
... perpendicular to BA . for the fame reafon , GB is perpendicular to BC . fince therefore the ftraight line GB ftands at right angles to the two ftraight lines BA , BC , that cut one another in B ; GB is perpendicular ' f f . 4. 11 . to ...
... perpendicular to BA . for the fame reafon , GB is perpendicular to BC . fince therefore the ftraight line GB ftands at right angles to the two ftraight lines BA , BC , that cut one another in B ; GB is perpendicular ' f f . 4. 11 . to ...
Side 204
... perpendicular to a third plane ; their common fec- tion fhall be perpendicular to the fame plane . Let the two planes AB , BC be each of them perpendicular to a third planc , and let BD be the common fection of the first two , BD is ...
... perpendicular to a third plane ; their common fec- tion fhall be perpendicular to the fame plane . Let the two planes AB , BC be each of them perpendicular to a third planc , and let BD be the common fection of the first two , BD is ...
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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