{"name":"RConics-package","title":"Computations on conics","pagetitle":"Computations on conics — RConics-package","aliases":["RConics-package","RConics"],"author":"\nEmanuel Huber\n\nMaintainer: Emanuel Huber <emanuel.huber@unibas.ch>\n\n","keywords":" conic ","description":"

Solve some conic related problems (intersection of conics \nwith lines and conics, arc length of an ellipse, polar lines, etc.).

","sections":[],"details":"\n\n\n\n\n\n\n\n\n\n

\nPackage:	RConics
\nType:	Package
\nVersion:	1.0
\nDate:	2014-02-21
\nLicense:	GPL 2

","references":"

Richter-Gebert, J<U+00FC>rgen (2011). Perspectives on Projective Geometry - A Guided Tour Through Real and Complex Geometry, Springer, Berlin, ISBN: 978-3-642-17285-4

","note":"

Some of the functions are based on the projective geometry. \n 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).

","package":{"package":"RConics","version":"1.0"}}

Package:	RConics
Type:	Package
Version:	1.0
Date:	2014-02-21
License:	GPL 2

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