New functions LineFromInterceptAndSlope and
LineFromEquation.
New R6 class Hyperbola.
The path method of the Ellipse class
gains an argument outer allowing to choose whether the path
approximating the ellipse will be interior or exterior (thanks to Duncan
Murdoch for the help).
New method perimeter for the Ellipse
class; it returns the perimeter of the ellipse.
New methods for the Triangle class:
perimeter and outerSoddyCircle (beware - this
circle possibly has a negative radius).
New example in the vignette.
New function maxAreaInscribedCircle, to compute the
circle inscribed in a convex polygon with maximum area. This
optimization problem is solved with the help of the
CVXR package.
New function maxAreaInscribedEllipse, to compute the
ellipse inscribed in a convex polygon with maximum area. This
optimization problem is solved with the help of the
CVXR package.
New function fitEllipse, to fit an ellipse to a set of
points. It uses the fitConic package.
Fixed the isEqual method of the Line
class.
Fixed Möbius raised at the power 0.
Added the method fixedPoints to the
Mobius class.
New function MobiusMappingCircle, which returns a
Möbius transformation mapping a given circle to another given
circle.
New function MobiusSwappingTwoPoints, returning a
Möbius transformation swapping two given points.
New function EllipseFromThreeBoundaryPoints,
returning the smallest area ellipse passing through three given boundary
points.
New function EllipseFromFociAndOnePoint, returning
the ellipse with given foci and a given point on its boundary.
New function attached to the Triangle class:
MandartInellipse, which returns the Mandart inellipse of
the triangle.
New function attached to the Triangle class:
hexylTriangle, which returns the hexyl triangle of the
triangle.
New function attached to the Triangle class:
isogonalConjugate, which returns the isogonal conjugate of
a point with respect to the triangle.
New examples in the vignette: an illustration of inversions, Schottky circles, modular tessellation, Apollonian gasket, and Malfatti gasket.
New methods for Ellipse class: theta2t,
pointFromEccentricAngle, normal.
New example in the vignette, the elliptical billiard.
Bug fixed: the function inversionSwappingTwoCircles
did not work for all cases.
New functions: inversionFromCircle,
midCircles, CircleAB.
New methods for Circle class:
tangentsThroughExternalPoint, isOrthogonal,
angle.
New methods for Triangle class:
symmedialTriangle, symmedianPoint,
BrocardCircle, BrocardPoints,
LemoineCircleI/II/III, LemoineTriangle,
ParryCircle, SteinerEllipse,
SteinerInellipse, pointToTrilinear,
pedalTriangle, CevianTriangle.
New methods for Line class: distance,
parallel.
New methods for Mobius class: power,
gpower.
First release.