The Elements of EuclidA. Foulis, 1838 - 466 páginas |
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Página 25
... equal to the angle DEF ; therefore the base GC is equal to the base DF , anda . 4. 1 . the triangle GBC to the triangle DEF , and the other angles to the other angles , each to each , to which the equal fides are oppofite ; therefore ...
... equal to the angle DEF ; therefore the base GC is equal to the base DF , anda . 4. 1 . the triangle GBC to the triangle DEF , and the other angles to the other angles , each to each , to which the equal fides are oppofite ; therefore ...
Página 213
... angles equal to one another , each to each ; the planes in which the equal angles are have the fame inclination to one another . Let there be two folid angles at the points A , B ; and let the angle at A be contained by the three plane ...
... angles equal to one another , each to each ; the planes in which the equal angles are have the fame inclination to one another . Let there be two folid angles at the points A , B ; and let the angle at A be contained by the three plane ...
Página 219
... angles to the Book XI , piane BAL ; and make KH equal to GF , and join AH . then then folid angle at A which is contained by the three plane angles BAL , c . 12. 11 . BAH , HAL is equal to the folid angle at D contained by the three ...
... angles to the Book XI , piane BAL ; and make KH equal to GF , and join AH . then then folid angle at A which is contained by the three plane angles BAL , c . 12. 11 . BAH , HAL is equal to the folid angle at D contained by the three ...
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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