The Elements of EuclidA. Foulis, 1838 - 466 sider |
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Side 26
... meet towards BD . in like manner it demonftrated that they do not meet towards AC . but thofe may be ftraight lines which meet nei- A C E B G D b . 35. Def . ther way tho ' produced ever so far are parallel b to one another . AB ...
... meet towards BD . in like manner it demonftrated that they do not meet towards AC . but thofe may be ftraight lines which meet nei- A C E B G D b . 35. Def . ther way tho ' produced ever so far are parallel b to one another . AB ...
Side 201
... meet one another , but are not in the fame plane with AB , BC . the planes through AB , BC , and DE , EF fhall not meet though produced . a From the point B draw BG perpendicular to the plane which a . 11. 11 . paffes through DE , EF ...
... meet one another , but are not in the fame plane with AB , BC . the planes through AB , BC , and DE , EF fhall not meet though produced . a From the point B draw BG perpendicular to the plane which a . 11. 11 . paffes through DE , EF ...
Side 202
... meet one another ; but they do not meet , fince they are parallel by Z the Hypothefis . therefore the A ftraight lines EF , GH do not E meet when produced on the fide K H B D G of FH . in the fame manner it may be proved that EF , GH do not ...
... meet one another ; but they do not meet , fince they are parallel by Z the Hypothefis . therefore the A ftraight lines EF , GH do not E meet when produced on the fide K H B D G of FH . in the fame manner it may be proved that EF , GH do not ...
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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