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numerade.com
Imagine three unit spheres (radius equal to 1 ) with centers...
VIDEO ANSWER: Imagine three unit spheres (radius equal to 1 ) with centers at O(0,0,0), P(\sqrt{3},-1,0) and Q(\sqrt{3}, 1,0) . Now place another unit sphere s…
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5 Let C be a parallel of colatitude @ on an oriented unit sphere S?, and let Wo be a unit vector tangent to C at a point P € C (cf. Example 1, Sec. 4-4). Take the parallel transport of wo along C and show that its position, after a complete turn, makes an angle Ap = 21 ([ cos @) with the initial position Wo: Check that Ap im = =curvature of S? , R-p Awhere A is the area of the region R of S? bounded by €.
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