The Elements of Euclid, Bøker 1-6;Bok 11J.M. Dent & Sons, Limited, 1933 - 298 sider |
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Resultat 1-3 av 88
Side 98
... 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 their centres , and BAC , EDF equal angles at their circumferences : the ...
... 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 their centres , and BAC , EDF equal angles at their circumferences : the ...
Side 100
Euclid Isaac Todhunter, Robert Simson. PROPOSITION 28. THEOREM . In equal circles , equal straight lines cut off equal arcs , the greater equal to the greater , and the less equal to the less . Let ABC , DEF be equal circles , and BC , EF ...
Euclid Isaac Todhunter, Robert Simson. PROPOSITION 28. THEOREM . In equal circles , equal straight lines cut off equal arcs , the greater equal to the greater , and the less equal to the less . Let ABC , DEF be equal circles , and BC , EF ...
Side 261
... equal to the three angles of the other , ( 2 ) when two triangles have two sides of the one equal to two sides of the other , each to each , and an angle opposite to one side of one triangle equal to the angle opposite to the equal side ...
... equal to the three angles of the other , ( 2 ) when two triangles have two sides of the one equal to two sides of the other , each to each , and an angle opposite to one side of one triangle equal to the angle opposite to the equal side ...
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Vanlige uttrykk og setninger
ABCD AC is equal adjacent angles angle ABC angle ACB angle BAC angle DEF angle EDF angles equal Axiom base BC 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