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 ... EDF . For if not , the angle BAC must be either equal to the angle EDF or less than the angle EDF . But the angle ...
... angle contained by the sides cqual to them , of the other . Let ABC , DEF be two triangles , which have the two ... EDF . For if not , the angle BAC must be either equal to the angle EDF or less than the angle EDF . But the angle ...
Página 99
... angles BAC , EDF at their circumferences , stand on equal arcs BC , EF : the angle BGC shall be equal to the angle EHF , and the angle BAC equal to the angle EDF . B H If the angle BGC be equal to the angle EHF , it is manifest that the ...
... angles BAC , EDF at their circumferences , stand on equal arcs BC , EF : the angle BGC shall be equal to the angle EHF , and the angle BAC equal to the angle EDF . B H If the angle BGC be equal to the angle EHF , it is manifest that the ...
Página 184
... angle EDF is equal to the angle GDF ; [ Constr . therefore the base EF is equal to the base GF , and the triangle EDF to the triangle GDF , and the re- maining angles to the re- maining angles , each to each , to which the equal sides ...
... angle EDF is equal to the angle GDF ; [ Constr . therefore the base EF is equal to the base GF , and the triangle EDF to the triangle GDF , and the re- maining angles to the re- maining angles , each to each , to which the equal sides ...
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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