The Elements of EuclidA. Foulis, 1838 - 466 sider |
Inni boken
Resultat 1-3 av 87
Side 199
... plane paffing through them . but the plane paffing through ED , GH is the plane BH ; therefore AF is perpendicular to the plane BH . therefore from the given point A above the plane BH , the ftraight line AF is drawn perpendicular to that ...
... plane paffing through them . but the plane paffing through ED , GH is the plane BH ; therefore AF is perpendicular to the plane BH . therefore from the given point A above the plane BH , the ftraight line AF is drawn perpendicular to that ...
Side 203
... plane AXFC , the common fections AC , XF w H a . 16. II . are parallel . and because EX is parallel to BD , a side ... plane , every plane which paffes thro ' it fhall be at right angles to that plane . Let the ftraight line AB be at ...
... plane AXFC , the common fections AC , XF w H a . 16. II . are parallel . and because EX is parallel to BD , a side ... plane , every plane which paffes thro ' it fhall be at right angles to that plane . Let the ftraight line AB be at ...
Side 204
... plane ; and any straight line FG in the plane DE , which is at d.4.Def.11 . right angles to CE the common fection of the planes , has been proved to be perpendicular to the other plane CK ; therefore the plane DE is at right angles to ...
... plane ; and any straight line FG in the plane DE , which is at d.4.Def.11 . right angles to CE the common fection of the planes , has been proved to be perpendicular to the other plane CK ; therefore the plane DE is at right angles to ...
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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