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