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PlaneGeometry (version 1.3.1)

Plane Geometry

Description

An extensive set of plane geometry routines. Provides R6 classes representing triangles, circles, circular arcs, ellipses, elliptical arcs and lines, and their plot methods. Also provides R6 classes representing transformations: rotations, reflections, homotheties, scalings, general affine transformations, inversions, Möbius transformations.

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Install

install.packages('PlaneGeometry')

Monthly Downloads

106

Version

1.3.1

License

GPL-3

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Stars

8

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Maintainer

Stc3<a9>phane Laurent

Last Published

January 13th, 2022

Functions in PlaneGeometry (1.3.1)

AffineMappingThreePoints

Affine transformation mapping three given points to three given points
Homothety

R6 class representing a homothety
Circle

R6 class representing a circle
CircleAB

Circle given by a diameter
AffineMappingEllipse2Ellipse

Affine transformation mapping a given ellipse to a given ellipse
Inversion

R6 class representing an inversion
Affine

R6 class representing an affine map.
MobiusMappingThreePoints

Möbius transformation mapping three given points to three given points
MobiusSwappingTwoPoints

Möbius transformation swapping two given points
Translation

R6 class representing a translation
intersectionLineLine

Intersection of two lines
intersectionEllipseLine

Intersection of an ellipse and a line
SteinerChain

Steiner chain
inversionFromCircle

Inversion on a circle
Projection

R6 class representing a projection
Triangle

R6 class representing a triangle
Reflection

R6 class representing a reflection
TriangleThreeLines

Triangle defined by three lines
inversionKeepingCircle

Inversion keeping a circle unchanged
EllipseEquationFromFivePoints

Ellipse equation from five points
EllipticalArc

R6 class representing an elliptical arc
GaussianEllipse

Gaussian ellipse
MobiusMappingCircle

Möbius transformation mapping a given circle to a given circle
soddyCircle

Inner Soddy circle
radicalCenter

Radical center
Mobius

R6 class representing a Möbius transformation.
EllipseFromFociAndOnePoint

Ellipse from foci and one point
Arc

R6 class representing a circular arc
EllipseFromThreeBoundaryPoints

Smallest ellipse that passes through three boundary points
intersectionCircleLine

Intersection of a circle and a line
intersectionCircleCircle

Intersection of two circles
inversionFixingThreeCircles

Inversion fixing three circles
inversionFixingTwoCircles

Inversion fixing two circles
CircleOA

Circle given by its center and a point
Ellipse

R6 class representing an ellipse
Line

R6 class representing a line
EllipseFromEquation

Ellipse from its implicit equation
EllipseFromCenterAndMatrix

Ellipse from center and matrix
ScalingXY

R6 class representing an axis-scaling
EllipseFromFivePoints

Ellipse from five points
Shear

R6 class representing a shear transformation
crossRatio

Cross ratio
LownerJohnEllipse

Löwner-John ellipse (ellipse hull)
Rotation

R6 class representing a rotation
Scaling

R6 class representing a (non-uniform) scaling
ellint2

Extended elliptic integral of the second kind
unitCircle

Unit circle
fitEllipse

Fit an ellipse
draw

Draw a geometric object
inversionSwappingTwoCircles

Inversion swapping two circles
midCircles

Mid-circle(s)