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.