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28 Jan 2009: Wecall these spherical lines. 1. P. Q = (cos α)P (sin α)u. ... For a spherical triangle. cos a = cos b cos c sin b sin c cos α.

28 Jan 2009: t.k.carne@dpmms.cam.ac.uk - 1 - 26th January, 2009. Show, conversely, that any three positive numbers a,b,c that satisfies these inequalities also satisfycos(b c) 6 cos ... from the Vector Calculus course prove the cosine rule:. cos a = cos b cos c sin b

20 Feb 2009: cos α =cosh b cosh c cosh acosh2 b 1. cosh2 c 1. ... cos β cos γ cos α =D2 cosh a. (cosh2 a 1).

30 Jan 2009: t.k.carne@dpmms.cam.ac.uk - 1 - 26th January, 2009. Show, conversely, that any three positive numbers a,b,c that satisfies these inequalities also satisfycos(b c) 6 cos ... from the Vector Calculus course prove the cosine rule:. cos a = cos b cos c sin b

20 Feb 2009: cos α =cosh b cosh c cosh acosh2 b 1. cosh2 c 1. ... cos β cos γ cos α =D2 cosh a. (cosh2 a 1).

8 Oct 2009: φt ω2 = cos tω2 sin tω3,(7). φt ω3 = sin tω2 cos tω3.(8). ... f(x,v) =1. (p q)|z iη| 2q. We now introduce geodesic polar coordinates (r,φ) on S2 such thatt = cos r,.