44 CHAPTER 1. COORDINATES AND VECTORS b A b B b C ℓ A ℓ B ℓ C 1 /γ 1 /β 1 /α ← −→ w −→ u → v Figure 1.24: Theorem 1.3.3 where α = 1 | BC | β = 1 | AC | γ = 1 | AB | are the reciprocals of the lengths of the sides (each length is labelled by the Greek analogue of the name of the opposite vertex). (b) Show that the line ℓ A bisecting the angle ∠ A can be given as −→ p A ( r ) = (1 − rβ − rγ ) −→ a + rγ −→ b + rβ −→ c and the corresponding bisectors of
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This note was uploaded on 10/20/2011 for the course MAC 2311 taught by Professor All during the Fall '08 term at University of Florida.