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What is Antiparallel Lemma in Triangle Geometry about?
This document defines antiparallels in a triangle and proves some of their properties. It begins by defining that in triangle ABC, if points D and E lie on sides AB and AC respectively such that the angle DAE equals the angle ABC, then DE is the antiparallel of BC with respect to angle BAC. It then proves that if an antiparallel intersects the circumcircle at points P and Q, then AP equals AQ. Additional properties stated include that DECB is cyclic and two antiparallels of the same side are parallel. The d
- Author
- Trần Khang Duy
- Language
- EN