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.