Cross section (geometry)

In geometry and science, a cross section is the non-empty intersection of a solid body in three-dimensional space with a plane, or the analog in higher-dimensional spaces. Cutting an object into slices creates many parallel cross-sections. The boundary of a cross-section in three-dimensional space that is parallel to two of the axes, that is, parallel to the plane determined by these axes, is sometimes referred to as 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 on the surface of the mountains of equal elevation.

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Graphical projection
Planar Parallel projection Orthographic projection Isometric projection Oblique projection Perspective projection Curvilinear perspective Reverse perspective
Views Bird's-eye view Cross section Cutaway drawing Exploded view drawing Fisheye lens Multiviews Panorama Worm's-eye view Zoom lens
Topics 3D projection Anamorphosis Axonometry Computer graphics Computer-aided design Descriptive geometry Engineering drawing Map projection Picture plane Plans (drawings) Projection (linear algebra) Projection plane Projective geometry Stereoscopy Technical drawing True length Vanishing point Video game graphics Viewing frustum
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In technical drawing a cross-section, being a projection of an object onto a plane that intersects it, is a common tool used to depict the internal arrangement of a 3-dimensional object in two dimensions. It is traditionally crosshatched with the style of crosshatching often indicating the types of materials being used.

With computed axial tomography, computers can construct cross-sections from x-ray data.