The Elements of EuclidA. Foulis, 1838 - 466 páginas |
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Página 62
... thro ' the center of a circle , bifect a ftraight line in it which does not pafs thro ' the center , it fhall cut it at right angles . and if it cuts it at right angles , it fhall bifect it . Let ABC be a circle ; and let CD a straight ...
... thro ' the center of a circle , bifect a ftraight line in it which does not pafs thro ' the center , it fhall cut it at right angles . and if it cuts it at right angles , it fhall bifect it . Let ABC be a circle ; and let CD a straight ...
Página 63
... thro the center . AC , BD do not bifect one another . For , if it is poffible , let AE be equal to EC , and BE to ED . if one of the lines pass thro ' the center , it is plain that it cannot be bifected by the other which does not pafs ...
... thro the center . AC , BD do not bifect one another . For , if it is poffible , let AE be equal to EC , and BE to ED . if one of the lines pass thro ' the center , it is plain that it cannot be bifected by the other which does not pafs ...
Página 66
... thro ' the center ; of those which fall upon the concave circumference the greateft is that which paffes thro ' the center ; and of the reft , that which is nearer to that thro ' the center is always greater than the more remote . but ...
... thro ' the center ; of those which fall upon the concave circumference the greateft is that which paffes thro ' the center ; and of the reft , that which is nearer to that thro ' the center is always greater than the more remote . but ...
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Términos y frases comunes
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