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PlaneGeometry (version 1.6.0)
Plane Geometry
Description
An extensive set of plane geometry routines. Provides R6 classes representing triangles, circles, circular arcs, ellipses, elliptical arcs, lines, hyperbolae, and their plot methods. Also provides R6 classes representing transformations: rotations, reflections, homotheties, scalings, general affine transformations, inversions, Möbius transformations.
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Version
1.6.0
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1.2.0
1.1.0
1.0.0
Install
install.packages('PlaneGeometry')
Monthly Downloads
106
Version
1.6.0
License
GPL-3
Issues
0
Pull Requests
0
Stars
8
Forks
0
Repository
https://github.com/stla/PlaneGeometry
Maintainer
Stc3<a9>phane Laurent
Last Published
August 9th, 2023
Functions in PlaneGeometry (1.6.0)
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EllipseEquationFromFivePoints
Ellipse equation from five points
Affine
R6 class representing an affine map.
EllipseFromCenterAndMatrix
Ellipse from center and matrix
AffineMappingThreePoints
Affine transformation mapping three given points to three given points
CircleOA
Circle given by its center and a point
AffineMappingEllipse2Ellipse
Affine transformation mapping a given ellipse to a given ellipse
Arc
R6 class representing a circular arc
Ellipse
R6 class representing an ellipse
CircleAB
Circle given by a diameter
Circle
R6 class representing a circle
EllipseFromEquation
Ellipse from its implicit equation
EllipticalArc
R6 class representing an elliptical arc
Homothety
R6 class representing a homothety
GaussianEllipse
Gaussian ellipse
EllipseFromFociAndOnePoint
Ellipse from foci and one point
HyperbolaFromEquation
Hyperbola object from the hyperbola equation.
Hyperbola
R6 class representing a hyperbola
EllipseFromThreeBoundaryPoints
Smallest ellipse that passes through three boundary points
EllipseFromFivePoints
Ellipse from five points
Inversion
R6 class representing an inversion
Projection
R6 class representing a projection
LineFromEquation
Line from general equation
LineFromInterceptAndSlope
Line from intercept and slope
LownerJohnEllipse
Löwner-John ellipse (ellipse hull)
MobiusMappingCircle
Möbius transformation mapping a given circle to a given circle
Mobius
R6 class representing a Möbius transformation.
MobiusMappingThreePoints
Möbius transformation mapping three given points to three given points
Line
R6 class representing a line
Reflection
R6 class representing a reflection
MobiusSwappingTwoPoints
Möbius transformation swapping two given points
crossRatio
Cross ratio
SteinerChain
Steiner chain
Translation
R6 class representing a translation
TriangleThreeLines
Triangle defined by three lines
Triangle
R6 class representing a triangle
Rotation
R6 class representing a rotation
Scaling
R6 class representing a (non-uniform) scaling
ScalingXY
R6 class representing an axis-scaling
Shear
R6 class representing a shear transformation
draw
Draw a geometric object
inversionKeepingCircle
Inversion keeping a circle unchanged
inversionFixingThreeCircles
Inversion fixing three circles
intersectionCircleLine
Intersection of a circle and a line
intersectionLineLine
Intersection of two lines
inversionFixingTwoCircles
Inversion fixing two circles
inversionSwappingTwoCircles
Inversion swapping two circles
intersectionEllipseLine
Intersection of an ellipse and a line
inversionFromCircle
Inversion on a circle
unitCircle
Unit circle
soddyCircle
Inner Soddy circle
fitEllipse
Fit an ellipse
maxAreaInscribedCircle
Maximum area circle inscribed in a convex polygon
radicalCenter
Radical center
intersectionCircleCircle
Intersection of two circles
midCircles
Mid-circle(s)
maxAreaInscribedEllipse
Maximum area ellipse inscribed in a convex polygon
