The angle between the tangents will be bisected by the line joining the exterior point and the center, that is, ∠ACO = ∠BCO. Proof:All the three parts will be proved if we show that ΔCAO iscongruentto ΔCBO. Comparing the twotriangles, we see that: OA = OB (radii of the same...
11. The curvature formula in Ex. 4.3 will then change.)13.If x(u, v) = α(u) + vδ(u) parametrizes a noncylindrical ruled surface, let L(u) be the ruling through α(u). Show that: (a)If ϑe is the smallest angle from L...