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PlaneGeometry (version 1.3.0)

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, Mbius transformations.

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install.packages('PlaneGeometry')

Monthly Downloads

93

Version

1.3.0

License

GPL-3

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Maintainer

Stc3<a9>phane Laurent

Last Published

December 23rd, 2021

Functions in PlaneGeometry (1.3.0)

AffineMappingEllipse2Ellipse

Affine transformation mapping a given ellipse to a given ellipse
CircleAB

Circle given by a diameter
Arc

R6 class representing a circular arc
Ellipse

R6 class representing an ellipse
Affine

R6 class representing an affine map.
Circle

R6 class representing a circle
CircleOA

Circle given by its center and a point
AffineMappingThreePoints

Affine transformation mapping three given points to three given points
EllipseEquationFromFivePoints

Ellipse equation from five points
EllipseFromCenterAndMatrix

Ellipse from center and matrix
EllipseFromEquation

Ellipse from its implicit equation
EllipseFromFivePoints

Ellipse from five points
EllipseFromThreeBoundaryPoints

Smallest ellipse that passes through three boundary points
EllipseFromFociAndOnePoint

Ellipse from foci and one point
Line

R6 class representing a line
LownerJohnEllipse

L<U+00F6>wner-John ellipse (ellipse hull)
GaussianEllipse

Gaussian ellipse
EllipticalArc

R6 class representing an elliptical arc
ScalingXY

R6 class representing an axis-scaling
Shear

R6 class representing a shear transformation
MobiusMappingCircle

M<U+00F6>bius transformation mapping a given circle to a given circle
Mobius

R6 class representing a M<U+00F6>bius transformation.
MobiusSwappingTwoPoints

M<U+00F6>bius transformation swapping two given points
MobiusMappingThreePoints

M<U+00F6>bius transformation mapping three given points to three given points
Reflection

R6 class representing a reflection
Inversion

R6 class representing an inversion
Homothety

R6 class representing a homothety
Projection

R6 class representing a projection
ellint2

Extended elliptic integral of the second kind
Rotation

R6 class representing a rotation
Scaling

R6 class representing a (non-uniform) scaling
crossRatio

Cross ratio
intersectionCircleLine

Intersection of a circle and a line
Triangle

R6 class representing a triangle
inversionKeepingCircle

Inversion keeping a circle unchanged
inversionFixingTwoCircles

Inversion fixing two circles
TriangleThreeLines

Triangle defined by three lines
inversionFromCircle

Inversion on a circle
intersectionEllipseLine

Intersection of an ellipse and a line
soddyCircle

Inner Soddy circle
intersectionCircleCircle

Intersection of two circles
unitCircle

Unit circle
intersectionLineLine

Intersection of two lines
draw

Draw a geometric object
inversionFixingThreeCircles

Inversion fixing three circles
radicalCenter

Radical center
Translation

R6 class representing a translation
SteinerChain

Steiner chain
midCircles

Mid-circle(s)
inversionSwappingTwoCircles

Inversion swapping two circles