Also following from Gauss, a sphere can't be mapped to the plane when protecting both equally locations and angles. Consequently, any map projection introduces some kind of distortion.
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Circumference: The duration of the great circle in the sphere known as its circumference. During the figure provided under, the boundary with the dotted circle or the cross-area on the sphere that contains its Heart is known as its circumference.
By way of example, the diagram to the best demonstrates the intersection of a sphere in addition to a cylinder, which is made up of two circles. When the cylinder radius have been that on the sphere, the intersection could well be an individual circle. If your cylinder radius were larger sized than that of the sphere, the intersection might be empty. Loxodrome[edit]
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Common intersection sphere-cylinder If a sphere is intersected by One more floor, there might be more sophisticated spherical curves.
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Unlike a ball, even a substantial sphere can be an vacant Journasphere set. Such as, in Zn with Euclidean metric, a sphere of radius r is nonempty provided that r2 might be written as sum of n squares of integers.
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