The Elements of Euclid, Libros 1-6;Libro 11J.M. Dent & Sons, Limited, 1933 - 298 páginas |
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Página 28
... angle BAC shall be greater than the angle EDF . A D For if not , the angle BAC must be either equal to the angle EDF or less than the angle EDF . But the angle BAC is not equal to the angle EDF , for then the base BC B C E would be ...
... angle BAC shall be greater than the angle EDF . A D For if not , the angle BAC must be either equal to the angle EDF or less than the angle EDF . But the angle BAC is not equal to the angle EDF , for then the base BC B C E would be ...
Página 103
... angle in the segment ADC , which is less than a semicircle , shall be greater than a right angle .. Join AE , and ... BAC is equal to the two angles , ABC , ACB . [ Axiom 2 . But FAC , the exterior angle of the triangle ABC , is ...
... angle in the segment ADC , which is less than a semicircle , shall be greater than a right angle .. Join AE , and ... BAC is equal to the two angles , ABC , ACB . [ Axiom 2 . But FAC , the exterior angle of the triangle ABC , is ...
Página 286
... angles equal or together equal to two right angles . We will take the latter proposition . Let ABC , ADE be equal triangles ; and let CA be to AD as AE is to AB : either the angle BAC shall be equal to the angle DAE , or the angles BAC ...
... angles equal or together equal to two right angles . We will take the latter proposition . Let ABC , ADE be equal triangles ; and let CA be to AD as AE is to AB : either the angle BAC shall be equal to the angle DAE , or the angles BAC ...
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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