# MatheAss 9.0 − Geometry

Right-angled Triangles
Given two of the elements of a right-angled triangle the others are calculated.
Triangles by three Elements or Points
Given three elements or three points of any triangle the program calculates the sides, altitudes, medians, bisectrices, circumcircle, incircle, perimeter and area.
Special lines in the triangle   (New in version 9.0)
The program calculates the equations of the perpendicular bisectors, of the side bisectors, of the angle bisectors and of the altitudes. In addition, the centers and radii of the circumcircle, of the incircle and of the three excircles.
Regular Polygons
Given one of the following elements of a polygon with n vertices, the others are calculated.
Side, Circumcircle, Incircle, Perimeter and Area.
Arbitrary Polygons
Area, perimeter and centroid of a polygon are calculated
Mappings of Polygons   (Revised in version 9.0)
A polygon can be mapped by a translation, axial symmetry, point symmetry, rotation, homothetic stretching, shear transformation or any combination of them.
Circles and their Parts
Given two elements of a circular section, radius, angle, arc, chord, section, segment, area, perimeter, distance between chord and arc and the arrow height are calculated..
Tangent lines to circles   (New in version 9.0 since February 2021)
• The tangent to a circle k at a point B.
• The tangents to a circle k through a point P outside the circle
• The tangents to a circle k parallel to a straight line g
• The tangents to two circles  k1  and  k2
Intersections in the Plane
The intersections between two lines, a line and a circle and between two circles are calculated.