Analytic geometry | Wikipedia audio article
Channel: wikipedia tts
Date: 2019-03-17

This is an audio version of the Wikipedia Article:
https://en.wikipedia.org/wiki/Analytic_geometry


00:01:09 1 History
00:01:17 1.1 Ancient Greece
00:02:50 1.2 Persia
00:03:40 1.3 Western Europe
00:05:41 2 Coordinates
00:06:12 2.1 Cartesian coordinates (in a plane or space)
00:06:48 2.2 Polar coordinates (in a plane)
00:07:06 2.3 Cylindrical coordinates (in a space)
00:07:29 2.4 Spherical coordinates (in a space)
00:07:56 3 Equations and curves
00:08:16 3.1 Lines and planes
00:08:53 3.2 Conic sections
00:09:23 3.3 Quadric surfaces
00:09:31 4 Distance and angle
00:16:16 5 Transformations
00:18:40 6 Finding intersections of geometric objects
00:20:04 6.1 Finding intercepts
00:22:56 7 Tangents and normals
00:29:11 7.1 Tangent lines and planes
00:41:38 7.2 Normal line and vector
00:43:20 8 See also
00:43:30 9 Notes
00:43:56 10 References
00:44:50 10.1 Books
00:45:36 10.2 Articles



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SUMMARY
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In classical mathematics, analytic geometry, also known as coordinate geometry or Cartesian geometry, is the study of geometry using a coordinate system. This contrasts with synthetic geometry.
Analytic geometry is widely used in physics and engineering, and also in aviation, rocketry, space science, and spaceflight. It is the foundation of most modern fields of geometry, including algebraic, differential, discrete and computational geometry.
Usually the Cartesian coordinate system is applied to manipulate equations for planes, straight lines, and squares, often in two and sometimes in three dimensions. Geometrically, one studies the Euclidean plane (two dimensions) and Euclidean space (three dimensions). As taught in school books, analytic geometry can be explained more simply: it is concerned with defining and representing geometrical shapes in a numerical way and extracting numerical information from shapes' numerical definitions and representations. That the algebra of the real numbers can be employed to yield results about the linear continuum of geometry relies on the Cantor–Dedekind axiom.