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Cross section (geometry) : ウィキペディア英語版
Cross section (geometry)

In geometry and science, a cross section is the intersection of a body in three-dimensional space with a plane, or the analog in higher-dimensional space. Cutting an object into slices creates many parallel cross sections. A cross section of three-dimensional space that is parallel to two of the axes is a contour line; for example, if a plane cuts through mountains of a raised-relief map parallel to the ground, the result is a contour line in two-dimensional space showing points of equal altitude.
==Conic sections==

Conic sectionscircles, ellipses, parabolas, and hyperbolas – are formed by cross sections of a cone at various different angles, as seen in the diagram at left.
Any planar cross section passing through the center of an ellipsoid forms an ellipse on its surface, which degenerates to a circle for sections perpendicular to a symmetry axis.
A cross section of a cylinder is a circle if the cross section is parallel to the cylinder's base, or an ellipse with non-zero eccentricity (see diagram at right) if it is neither parallel nor perpendicular to the base. If the cross section is perpendicular to the base it consists of two parallel line segments (not shown) unless it is just tangent to the cylinder, in which case it is a single line segment.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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