The Elements of EuclidA. Foulis, 1838 - 466 páginas |
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Página 9
... opposite , shall be equal , each B to each , viz . the angle ABC A D Book I. CE to the angle DEF , and the angle ACB to DFE . For if the triangle ABC be applied to DEF so that the point A may be on D , and the straight line AB upon DE ...
... opposite , shall be equal , each B to each , viz . the angle ABC A D Book I. CE to the angle DEF , and the angle ACB to DFE . For if the triangle ABC be applied to DEF so that the point A may be on D , and the straight line AB upon DE ...
Página 253
... opposite fide MO , to the prism having the triangle LXC for its bafe , and OMN the triangle oppofite to it ; fo f is the prism f . 7. 5 . of which the base is the parallelogram PEVR , and opposite fide TS , to the prism of which the ...
... opposite fide MO , to the prism having the triangle LXC for its bafe , and OMN the triangle oppofite to it ; fo f is the prism f . 7. 5 . of which the base is the parallelogram PEVR , and opposite fide TS , to the prism of which the ...
Página 2
... opposite to it ; and if either fide BA be made radius , the other fide AC will be the tangent of the angle ABC opposite to it , and the hypothenufe BC the secant of the fame angle . About B as a center , with BC , BA for distances , let ...
... opposite to it ; and if either fide BA be made radius , the other fide AC will be the tangent of the angle ABC opposite to it , and the hypothenufe BC the secant of the fame angle . About B as a center , with BC , BA for distances , let ...
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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