The Elements of EuclidA. Foulis, 1838 - 466 páginas |
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Página 381
... given point in a gi- ven straight line , and makes a given angle with it . that straight line is given in pofition . Let AB be a straight line given in pofition , and C a given point in it , the straight line drawn to C which makes a given ...
... given point in a gi- ven straight line , and makes a given angle with it . that straight line is given in pofition . Let AB be a straight line given in pofition , and C a given point in it , the straight line drawn to C which makes a given ...
Página 392
... angle given , and if the fides about another angle have a given ratio to one another ; the triangle is given in fpecies . Let the triangle ABC have one of its angles ABC a given , but not a right angle , and let the fides BA , AC about ...
... angle given , and if the fides about another angle have a given ratio to one another ; the triangle is given in fpecies . Let the triangle ABC have one of its angles ABC a given , but not a right angle , and let the fides BA , AC about ...
Página 426
... angle BAC is given , the b . 20. 3. angle BEC at the center , which is the double of it , is given . and the ratio of BE to EC is given , because they are equal to one ano- ther ; therefore the triangle BEC is given in fpecies , and the ...
... angle BAC is given , the b . 20. 3. angle BEC at the center , which is the double of it , is given . and the ratio of BE to EC is given , because they are equal to one ano- ther ; therefore the triangle BEC is given in fpecies , and the ...
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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