The Elements of EuclidA. Foulis, 1838 - 466 páginas |
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Página 79
... fegments of circles upon equal ftraight See N. lines , are equal to one another . Let AEB , CFD be fimilar fegments of circles upon the equal ftraight lines AB , CD ; the fegment AEB is equal to the fegment CFD . For if the feg- ment ...
... fegments of circles upon equal ftraight See N. lines , are equal to one another . Let AEB , CFD be fimilar fegments of circles upon the equal ftraight lines AB , CD ; the fegment AEB is equal to the fegment CFD . For if the feg- ment ...
Página 81
... fegment ABC , which is therefore greater than a femicircle . wherefore a fegment of a circle being given , the circle is described of which it is a fegment . Which was to be done . I PROP . XXVI . THEOR . N equal circles , equal angles ...
... fegment ABC , which is therefore greater than a femicircle . wherefore a fegment of a circle being given , the circle is described of which it is a fegment . Which was to be done . I PROP . XXVI . THEOR . N equal circles , equal angles ...
Página 449
... fegment containing a given angle ; if the angle adjacent to the angle in the fegment be bisected by a straight line produced till it meet the circumference again and the bafe of the fegment ; the excess of the straight lines which ...
... fegment containing a given angle ; if the angle adjacent to the angle in the fegment be bisected by a straight line produced till it meet the circumference again and the bafe of the fegment ; the excess of the straight lines which ...
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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