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Modern geometry (1908)

Godfrey, C. (Charles), 1873-1924, Siddons, A. W. (Arthur Warry) joint author · Cambridge, University Press · leaf 43

An illustration from Modern geometry, 1908, leaf 43
e in P, prove that P is the in-centreof A AYZ. (For notation see p. 16.) Ex. 42. The internal and external bisectors of Z A meet the oircumcirclein K, K. Prove that KK is the perpendicular bisector of BC. Ex. 43. If Al meets the circumcircle in U, SU is perpendicular to BC. 24 THE TRIANGLE… … g. 14. Theorem 10. The internal bisector of l a, and the external bisectorsof i.s B and c are concurrent; and the point of con-currence is the ex-centre i,. The proof is left to the reader. Ex. 44. A, I, li are collmear, Ex. 45. I2, A, I3 aie coUinear. Ex. 46. All is X to I2I3. Ex. 47. If another…

Geometry, Modern

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