The Elements of EuclidJ. M. Dent & sons, 1933 - 298 páginas |
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Página 28
... angle contained by the sides cqual to them , of the other . Let ABC , DEF be two triangles , which have the two ... BAC shall be greater than the angle EDF . For if not , the angle BAC must be either equal to the angle EDF or less ...
... angle contained by the sides cqual to them , of the other . Let ABC , DEF be two triangles , which have the two ... BAC shall be greater than the angle EDF . For if not , the angle BAC must be either equal to the angle EDF or less ...
Página 93
Euclid Isaac Todhunter. But the angle BEF is equal to the angles EAB , EBA ; [ I.32 . therefore the angle BEF is ... BAC . Next , let the centre of the circle be without the angle BAC . Then it may be shewn , as inthe first case ...
Euclid Isaac Todhunter. But the angle BEF is equal to the angles EAB , EBA ; [ I.32 . therefore the angle BEF is ... BAC . Next , let the centre of the circle be without the angle BAC . Then it may be shewn , as inthe first case ...
Página 212
... angles BAC , ACD are equal ; A [ I. 29 . B for the same reason the angles ACD , CDE are equal ; C E therefore the angle BAC is equal to the angle CDE . [ Ax . 1 . And because the triangles ABC , DCE have the angle at A equal to the angle ...
... angles BAC , ACD are equal ; A [ I. 29 . B for the same reason the angles ACD , CDE are equal ; C E therefore the angle BAC is equal to the angle CDE . [ Ax . 1 . And because the triangles ABC , DCE have the angle at A equal to the angle ...
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Términos y frases comunes
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