Godfrey, C. (Charles), 1873-1924, Siddons, A. W. (Arthur Warry) joint author · Cambridge, University Press · leaf 45
B X O fig. 15. AIBC+ AICA+ AIAB = = AABC Now AIBC =i^ix. BC AICA = \rb, AIAB = \ro; .•. |m + ^rb + lrc-- = A; , a + b ti-A .*. rs = A J Ar = —. 26 the tuiangleTheorem 12. … fig. 16. A 1;CA + A IjAB - A liBC = A ABO.J^ow A liCA = ^IjYi. CA A liAB = |riC,A liBC = ^r^a; h + o — a 2 = A. But 6 + c — a = (a + 6 + c)-2ffl= 2s - 2a;.*. ri (s - a) = A;A Similarly r, =-^^, r,= ■^^. THE TRIANGLE 27 1 SR Ex. 48. Prove that in an equilateral triangle r=^R, r\=ri=ri=-^. Ex. 48. If…
Geometry, Modern
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