The Elements of Euclid, Libros 1-6;Libro 11 |
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I. 20 . fore the angle DAB is greater than the angle CAK . Much more then is the angle DAK greater than the angle CAK , But the angle DAK was shewn to be equal to the angle CAK ; which is absurd . Therefore EF must coincide with AB ...
I. 20 . fore the angle DAB is greater than the angle CAK . Much more then is the angle DAK greater than the angle CAK , But the angle DAK was shewn to be equal to the angle CAK ; which is absurd . Therefore EF must coincide with AB ...
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ABCD angle ABC angle ACB angle BAC Axiom base BC is equal bisected Book centre circle circle ABC circumference common Construction contained Corollary Definition demonstration described diameter divided double draw drawn edition Elements equal equal angles equiangular equilateral equimultiples Euclid exterior angle extremities fall figure four fourth given straight line greater half Hypothesis impossible join less Let ABC magnitudes manner meet multiple namely parallel parallelogram pass perpendicular plane polygon PROBLEM produced proportionals Q.E.D. PROPOSITION ratio reason rectangle rectangle contained rectilineal figure right angles segment shewn sides similar Simson solid square straight line &c suppose Take taken THEOREM third touches the circle triangle ABC Wherefore whole