Let A and B be antipodal points of a sphere (the line joining them passes through...
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Let A and B be antipodal points of a sphere (the line joining them passes through the centre of the sphere). Let C and D be different points on the sphere, each of which is equal to neither A nor B. Is it true that the angle ACB equals the angle ADB? Can you say any more about these angles? Let A and B be antipodal points of a sphere (the line joining them passes through the centre of the sphere). Let C and D be different points on the sphere, each of which is equal to neither A nor B. Is it true that the angle ACB equals the angle ADB? Can you say any more about these angles?
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