The Elements of Euclid, Bøker 1-6;Bok 11J.M. Dent & Sons, Limited, 1933 - 298 sider |
Inni boken
Resultat 1-3 av 86
Side 29
... equal to one side ; and first let those sides be equal which are adjacent to the equal angles in the two triangles , namely , BC to EF : the other sides shall be equal , each to each , namely , AB to DE , and AC to DF , and the third angle ...
... equal to one side ; and first let those sides be equal which are adjacent to the equal angles in the two triangles , namely , BC to EF : the other sides shall be equal , each to each , namely , AB to DE , and AC to DF , and the third angle ...
Side 192
... equal angles be reciprocally proportional , namely , DB to BE as GB is to BF : the parallelogram AB shall be equal to the parallelo- gram BC . For , let the same con- struction be made . Then , because DB is to BE as GB is to BF ...
... equal angles be reciprocally proportional , namely , DB to BE as GB is to BF : the parallelogram AB shall be equal to the parallelo- gram BC . For , let the same con- struction be made . Then , because DB is to BE as GB is to BF ...
Side 225
... equal to the angle BEH ; therefore the triangles AEG , BEH have two angles of the one equal to two angles of the other , each to each ; and the sides EA , EB adjacent to the equal angles are equal to one another ; [ Construction . therefore ...
... equal to the angle BEH ; therefore the triangles AEG , BEH have two angles of the one equal to two angles of the other , each to each ; and the sides EA , EB adjacent to the equal angles are equal to one another ; [ Construction . therefore ...
Andre utgaver - Vis alle
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