Plane section | Wikipedia audio article
Channel: wikipedia tts
Date: 2019-06-02

This is an audio version of the Wikipedia Article:
https://en.wikipedia.org/wiki/Cross_section_(geometry)


00:01:16 1 Definition
00:02:20 1.1 Plane sections
00:03:09 2 Mathematical examples of cross sections and plane sections
00:03:21 2.1 In related subjects
00:05:40 3 Area and volume
00:06:05 4 In higher dimensions
00:08:17 5 Examples in science
00:12:11 6 See also
00:13:17 7 Notes
00:14:00 8 References



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SUMMARY
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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.

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 construct cross-sections from x-ray data.