The Elements of Euclid, Libros 1-6;Libro 11J.M. Dent & Sons, Limited, 1933 - 298 páginas |
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Página 24
... exterior angle of any triangle is greater than the interior opposite angle , the exterior angle BDC of the triangle CDE is greater than the angle CED . [ I. 16 . For the same reason , the exterior angle CEB of the tri- angle ABE is greater ...
... exterior angle of any triangle is greater than the interior opposite angle , the exterior angle BDC of the triangle CDE is greater than the angle CED . [ I. 16 . For the same reason , the exterior angle CEB of the tri- angle ABE is greater ...
Página 35
... exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every triangle are toge- ther equal to two right angles . Let ABC be a triangle , and let one of its sides BC be produced to D : the exterior ...
... exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every triangle are toge- ther equal to two right angles . Let ABC be a triangle , and let one of its sides BC be produced to D : the exterior ...
Página 178
... exterior angle BAD is equal to the interior and opposite angle AEC ; [ Ι . 29 . but the angle BAD has been shewn equal to the angle ACE ; therefore the angle ACE is equal to the angle AEC ; E A [ Axiom 1 . and therefore AC is equal to ...
... exterior angle BAD is equal to the interior and opposite angle AEC ; [ Ι . 29 . but the angle BAD has been shewn equal to the angle ACE ; therefore the angle ACE is equal to the angle AEC ; E A [ Axiom 1 . and therefore AC is equal to ...
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Términos y frases comunes
ABCD 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 Corollary 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 whole angle