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Showing content from http://reference.wolfram.com/language/guide/PlaneGeometry.html below:

Plane Geometry—Wolfram Language Documentation

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• Functions
  • AASTriangle
  • AngleBisector
  • ArcLength
  • Area
  • ASATriangle
  • Ball
  • Circle
  • CircleThrough
  • CollinearPoints
  • CSGRegion
  • Cylinder
  • Disk
  • FindGeometricConjectures
  • FindInstance
  • GeometricAssertion
  • GeometricScene
  • GeometricStep
  • GeometricTest
  • Graphics
  • HalfLine
  • HalfPlane
  • ImplicitRegion
  • InfiniteLine
  • InfinitePlane
  • InnerPolygon
  • Line
  • MeshRegion
  • Midpoint
  • Minimize
  • NegativelyOrientedPoints
  • NMinimize
  • NSolve
  • OuterPolygon
  • Parallelogram
  • Perimeter
  • PerpendicularBisector
  • PlanarAngle
  • Point
  • Polygon
  • PolygonAngle
  • PolygonCoordinates
  • Polyhedron
  • PositivelyOrientedPoints
  • RandomInstance
  • Rectangle
  • Reduce
  • Region
  • RegionDimension
  • RegionDistance
  • RegionMember
  • RegionNearest
  • RegionQ
  • RegionUnion
  • RegularPolygon
  • SASTriangle
  • Solve
  • Sphere
  • SSSTriangle
  • Triangle
  • TriangleCenter
  • TriangleConstruct
  • TriangleMeasurement
• Related Guides
  • Polygons
  • Angles and Polar Coordinates
  • Solid Geometry
  • Operations on Geometric Regions
  • General Geometric Computing

The Wolfram Language provides fully integrated support for plane geometry, including basic regions such as points, lines, triangles, and disks; functions for computing basic properties such as arc length and area; and nearest points to solvers to find the intersection of regions or integrals over regions.

Point  ▪  Line  ▪  HalfLine  ▪  InfiniteLine  ▪  HalfPlane  ▪  InfinitePlane

Rectangle  ▪  Parallelogram  ▪  RegularPolygon  ▪  Polygon

Circle  ▪  Disk

SSSTriangle — triangle specified by the length of its sides

SASTriangle  ▪  ASATriangle  ▪  AASTriangle  ▪  Triangle

Midpoint  ▪  AngleBisector  ▪  PerpendicularBisector  ▪  CircleThrough  ▪  ...

TriangleConstruct — incircle, circumcircle, altitude, ... of triangles

TriangleCenter — orthocenter, circumcenter, incenter, ... of triangles

Polygon — polygon or collections of polygons with or without holes

PolygonCoordinates  ▪  OuterPolygon  ▪  InnerPolygon  ▪  ...

Graphics — visualize regions with different styles

Region — standard region visualization

Area  ▪  Perimeter  ▪  ArcLength  ▪  PlanarAngle  ▪  PolygonAngle

TriangleMeasurement — circumradius, height, ... of triangles

RegionMember — test whether a point is in a region

RegionNearest — nearest point in a region to a given point

RegionQ  ▪  RegionDimension  ▪  RegionDistance  ▪  ...

CollinearPoints  ▪  PositivelyOrientedPoints  ▪  NegativelyOrientedPoints

GeometricScene — symbolic representation of a geometric scene

RandomInstance — find and display a random instance of a geometric scene

FindGeometricConjectures — find conjectures about a geometric scene

GeometricAssertion — assert geometric properties or relations (convex, parallel, congruent, ...)

GeometricTest — test whether geometric objects satisfy given properties or relations

GeometricStep — representation of a step in the construction of a geometric scene

GeometricScene — entities representing notable theorems and constructions

FindInstance — find examples of points in a region

Solve — find curve crossings etc.

NSolve  ▪  Reduce  ▪  Minimize  ▪  NMinimize  ▪  ...

CSGRegion — constructive solid geometry region

Polygon  ▪  Polyhedron  ▪  Sphere  ▪  Ball  ▪  Cylinder  ▪  ...

ImplicitRegion  ▪  MeshRegion  ▪  RegionUnion  ▪  ...

PlaneCurve Lamina Polyhedron Solid

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