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Demonstrations of a Pair of Theorems in Geometry

Published online by Cambridge University Press:  20 January 2009

H. F. Blichfeldt
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If, in any triangle ABC, the angle A > the angle B, and lines AD and BE be drawn so that the angles BAD and DAC are, respectively, greater than the angles ABE and EBC, then is BE > AD. (Fig. 6.)

Proof: Draw AD′ and AD″ making angles BAD′ and D″AC, respectively, equal to the angles ABE and EBC.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 20 , February 1901 , pp. 16 - 17
Copyright
Copyright © Edinburgh Mathematical Society 1901