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Modern geometry (1908)

Godfrey, C. (Charles), 1873-1924, Siddons, A. W. (Arthur Warry) joint author · Cambridge, University Press · leaf 47

An illustration from Modern geometry, 1908, leaf 47
the triangle so formed is similar tothe triangle XYZ. Ex. SO. Prove that the circle on llj as diameter passes through B and C.Hence construct a triangle, having given BC, z B, and the length iii, Ex. 51. AZi + AYi = AB-|-AC + BC. Ex. 62. AYi = AZi = s. Ex.53. AZ + AY = AB + AC-BO. Ex.54. AY =… … fig. 17. (i) AYi + AZi = AC + CYi + AB + BZ, = AC + CXi + AB + BXi (since tangents to a circle= AC + AB + BC from a point are equal) = 2«. But AYi = AZi,/. AYi = AZi = S. ao (iii) AY + AZ = AC - CY + AB - BZ= AC - CX + AB - BX= AC + AB-BC= 2« - 2a. But AY = AZ, /. AY = AZ = s - a. YYi = AYi - AY =…

Geometry, Modern

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