RConics-package: RConics: Computations on conics
In RConics: Computations on Conics
RConics-package R Documentation
RConics: Computations on conics
Description
A package to solve some conic related problems
(intersection of conics with lines and conics, arc length of an ellipse,
polar lines, etc.).
Details
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 Euclidean 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).
Author(s)
Maintainer: Emanuel Huber emanuel.huber@pm.me (ORCID)
References
Richter-Gebert, Jürgen (2011).
Perspectives on Projective Geometry - A Guided Tour Through Real and Complex Geometry,
Springer, Berlin, ISBN: 978-3-642-17285-4
See Also
Useful links:
RConics documentation built on April 4, 2025, 4:35 a.m.
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| RConics-package | R Documentation |
RConics: Computations on conics
Description
A package to solve some conic related problems (intersection of conics with lines and conics, arc length of an ellipse, polar lines, etc.).
Details
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 Euclidean 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).
Author(s)
Maintainer: Emanuel Huber emanuel.huber@pm.me (ORCID)
References
Richter-Gebert, Jürgen (2011). Perspectives on Projective Geometry - A Guided Tour Through Real and Complex Geometry, Springer, Berlin, ISBN: 978-3-642-17285-4
See Also
Useful links:
R Package Documentation
Browse R Packages
We want your feedback!
Note that we can't provide technical support on individual packages. You should contact the package authors for that.
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