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Modern geometry (1908)
Godfrey, C. (Charles), 1873-1924, Siddons, A. W. (Arthur Warry) joint author · Cambridge, University Press · leaf 37
em for the case in which Z A is obtuse. Ex. 15. Prove the theorem that the ratio of the areas of similar trianglesis equal to the ratio of the squares on corresponding sides. Ex. 16. Two sides OP, OR of a variable parallelogram OPQR always nlie along two fixed lines OX, OY; and Q describes the… … = 2R. Case i. If the triangle is acute angled. Join CS. Produce CS to meet circumcircle in Y. Join BY. Since CY is a diameter of the ©, .. Z.CBY is a rt ^. Also L BYC = L BAG, . • . ■ X, BC a..smA = smY = —= 2^, - 2R. sin A Similarly -;—— = -:-— = 2R,sm B sin C Case ii. If the triangle is obtuse…Geometry, Modern
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