Description Details Note Author(s) References
Solve some conic related problems (intersection of conics with lines and conics, arc length of an ellipse, polar lines, etc.).
Package: | RConics |
Type: | Package |
Version: | 1.0 |
Date: | 2014-02-21 |
License: | GPL 2 |
Some of the functions are based on the projective geometry. In projective geometry parallel lines meet at an infinite point and all infinite points are incident to a line at infinity. Points and lines of a projective plane are represented by homogeneous coordinates, that means by 3D vectors: (x, y, z) for the points and (a, b, c) such that ax + by + c = 0 for the lines. The Euclidian points correspond to (x, y, 1), the infinite points to (x, y, 0), the Euclidian lines to (a, b, c) with a \neq 0 or b \neq 0, the line at infinity to (0, 0, 1).
Advice: to plot conics use the package conics
from Bernard Desgraupes.
This work was funded by the Swiss National Science Foundation within the ENSEMBLE project (grant no. CRSI_132249).
Emanuel Huber
Maintainer: Emanuel Huber <[email protected]>
Richter-Gebert, J<c3><bc>rgen (2011). Perspectives on Projective Geometry - A Guided Tour Through Real and Complex Geometry, Springer, Berlin, ISBN: 978-3-642-17285-4
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