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In the theory of analytic geometry for real three-dimensional space, the intersection between a sphere and a cylinder can be a circle, a point, the empty set, or a special type of curve. For the analysis of this situation, assume (without loss of generality) that the axis of the cylinder coincides with the ''z''-axis; points on the cylinder (with radius ) satisfy : We also assume that the sphere, with radius is centered at a point on the positive x-axis, at point . Its points satisfy : The intersection is the collection of points satisfying both equations. == Trivial cases == 抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)』 ■ウィキペディアで「Sphere–cylinder intersection」の詳細全文を読む スポンサード リンク
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