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(6) (20pt) Using the fact that the only geodesics on the unit sphere ? are great circles to show that the isometries of the unit

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(6) (20pt) Using the fact that the only geodesics on the unit sphere ? are great circles to show that the isometries of the unit sphere can be written as the composition of a reflection and a rotation (around an axis through a pair of antipodal points)

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