The Elements of EuclidA. Foulis, 1838 - 466 sider |
Inni boken
Resultat 1-3 av 90
Side 35
... parallels . Let the equal triangles ABC , DEF be upon equal bases BC , EF , and towards the fame parts ; they are between the fame parallels . Join AD ; AD is parallel to BC . for if it is not , thro ' A draw AG parallel to BF , a and ...
... parallels . Let the equal triangles ABC , DEF be upon equal bases BC , EF , and towards the fame parts ; they are between the fame parallels . Join AD ; AD is parallel to BC . for if it is not , thro ' A draw AG parallel to BF , a and ...
Side 197
... parallel to one another . Let AB , CD be each of them parallel to EF , and not in the fame plane with it ; AB fhall be parallel to CD . In EF take any point G , from which draw , in the plane paffing thro ' EF , AB , the ftraight line ...
... parallel to one another . Let AB , CD be each of them parallel to EF , and not in the fame plane with it ; AB fhall be parallel to CD . In EF take any point G , from which draw , in the plane paffing thro ' EF , AB , the ftraight line ...
Side 202
... parallel planes be cut by another plane , their common fections with it are parallels . Let the parallel planes AB , CD be cut by the plane EFHG , and let their common fections with it be EF , GH . EF is parallel to GH . For , if it is ...
... parallel planes be cut by another plane , their common fections with it are parallels . Let the parallel planes AB , CD be cut by the plane EFHG , and let their common fections with it be EF , GH . EF is parallel to GH . For , if it 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