The Elements of EuclidJ. M. Dent & sons, 1933 - 298 páginas |
Dentro del libro
Resultados 1-3 de 32
Página 41
... triangle ABC is equal to the triangle DBC . Wherefore , triangles & c . Q.E.D. PROPOSITION 38 . THEOREM . Triangles on equal bases , and between the same par- allels , are equal to one another . Let the triangles ABC , DEF be on equal ...
... triangle ABC is equal to the triangle DBC . Wherefore , triangles & c . Q.E.D. PROPOSITION 38 . THEOREM . Triangles on equal bases , and between the same par- allels , are equal to one another . Let the triangles ABC , DEF be on equal ...
Página 186
... triangle DEF . For , the same con- struction being made , it may be shown in the same manner , that BC is equal to ... triangle BCG are together not less than two right angles ; which is impossible . [ I. 17 . Therefore the triangle ABC ...
... triangle DEF . For , the same con- struction being made , it may be shown in the same manner , that BC is equal to ... triangle BCG are together not less than two right angles ; which is impossible . [ I. 17 . Therefore the triangle ABC ...
Página 199
... triangles ABG and DEF , about their equal angles , are reciprocally proportional ; but triangles which have their sides about two equal angles reciprocally proportional are equal to one another , [ VI . 15 . therefore the triangle ABG ...
... triangles ABG and DEF , about their equal angles , are reciprocally proportional ; but triangles which have their sides about two equal angles reciprocally proportional are equal to one another , [ VI . 15 . therefore the triangle ABG ...
Otras ediciones - Ver todas
Términos y frases comunes
AB is equal ABCD adjacent angles angle ABC angle ACB angle BAC angle DEF angle EDF angles equal Axiom base BC BC is equal bisected centre circle ABC circumference Constr Construction Definition 15 demonstration diameter double draw equal angles equal to F equiangular equimultiples Euclid Euclid's Elements exterior angle fourth given circle given straight line gnomon greater ratio greater than F Hypothesis less Let ABC Let the straight meet multiple opposite angle parallel to BC parallelogram perpendicular polygon produced proportionals PROPOSITION 13 Q.E.D. PROPOSITION rectangle contained remaining angle right angles segment shewn sides similar and similarly Simson square described square on AC straight line &c straight line AB THEOREM tiples touches the circle triangle ABC triangle DEF twice the rectangle Wherefore