The Elements of EuclidA. Foulis, 1838 - 466 páginas |
Dentro del libro
Resultados 1-3 de 87
Página 71
... circle ACK touch the Book III . circle ABC in the points A , C , and join AC . therefore because the two points A , C are in the circumference of the circle ACK , the straight line AC which joins them fhall fall within the circle ACK ...
... circle ACK touch the Book III . circle ABC in the points A , C , and join AC . therefore because the two points A , C are in the circumference of the circle ACK , the straight line AC which joins them fhall fall within the circle ACK ...
Página 95
... circle , when the extre- mities of it are in the circumference of the circle . Book IV . PROP . I. PROB . IN a given circle to place a ftraight line , equal to a given ftraight line not greater than the diameter of the circle . Let ABC ...
... circle , when the extre- mities of it are in the circumference of the circle . Book IV . PROP . I. PROB . IN a given circle to place a ftraight line , equal to a given ftraight line not greater than the diameter of the circle . Let ABC ...
Página 248
... circle ABCD is to any space lefs than the circle EFGH . in the fame man- ner it may be demonstrated that neither is the square of FH to the fquare of BD , as the circle EFGH is to any space less than the circle ABCD . Nor is the fquare ...
... circle ABCD is to any space lefs than the circle EFGH . in the fame man- ner it may be demonstrated that neither is the square of FH to the fquare of BD , as the circle EFGH is to any space less than the circle ABCD . Nor is the fquare ...
Otras ediciones - Ver todas
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