The Elements of EuclidJ. M. Dent & sons, 1933 - 298 páginas |
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Página 28
... angle BAC shall be greater than the angle EDF . 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 would be equal to the ...
... angle BAC shall be greater than the angle EDF . 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 would be equal to the ...
Página 98
Euclid Isaac Todhunter. PROPOSITION 26. THEOREM . In equal circles , equal angles stand on equal arcs , whether they be at the centres or circumferences . Let ABC , DEF be equal circles ; and let BGC , EHF be equal angles in them at ...
Euclid Isaac Todhunter. PROPOSITION 26. THEOREM . In equal circles , equal angles stand on equal arcs , whether they be at the centres or circumferences . Let ABC , DEF be equal circles ; and let BGC , EHF be equal angles in them at ...
Página 127
... equal to the two sides CF , FK , each to each ; and the base BK was shewn equal to the base CK ; therefore the angle ... angles of the one equal to two angles of the other , each to each ; and the side FC , which is adjacent to the ...
... equal to the two sides CF , FK , each to each ; and the base BK was shewn equal to the base CK ; therefore the angle ... angles of the one equal to two angles of the other , each to each ; and the side FC , which is adjacent to the ...
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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