The Elements of EuclidA. Foulis, 1838 - 466 sider |
Inni boken
Resultat 1-3 av 14
Side 8
... those to which the equal fides are oppofite . Let ABC , DEF be two triangles which have the two sides AB , AC equal to the two fides DE , DF , each to each , viz . AB to DE , and AC to DF ; and the an- gle BAC THE ELEMENTS.
... those to which the equal fides are oppofite . Let ABC , DEF be two triangles which have the two sides AB , AC equal to the two fides DE , DF , each to each , viz . AB to DE , and AC to DF ; and the an- gle BAC THE ELEMENTS.
Side 150
... sides of the triangle have to one another . and if the fegments of the base have the fame ratio which the other fides of the triangle have to one another , the ftraight line drawn from the vertex to the point of sec- tion divides the ...
... sides of the triangle have to one another . and if the fegments of the base have the fame ratio which the other fides of the triangle have to one another , the ftraight line drawn from the vertex to the point of sec- tion divides the ...
Side 164
... by CD , E , because CH is equal to E ; therefore the parallelogram BG is equal to the parallelogram DH ; and they are equiangular . but the sides about the equal angles of equal parallelograms are reciprocally pro- 154 THE ELEMENTS.
... by CD , E , because CH is equal to E ; therefore the parallelogram BG is equal to the parallelogram DH ; and they are equiangular . but the sides about the equal angles of equal parallelograms are reciprocally pro- 154 THE ELEMENTS.
Andre utgaver - Vis alle
Vanlige uttrykk og setninger
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