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.