GEOS  3.8.0dev
geos::geom::Triangle Class Reference

Represents a planar triangle, and provides methods for calculating various properties of triangles. More...

`#include <Triangle.h>`

## Public Member Functions

Triangle (const Coordinate &nP0, const Coordinate &nP1, const Coordinate &nP2)

void inCentre (Coordinate &resultPoint)

void circumcentre (Coordinate &resultPoint)

## Static Public Member Functions

static const Coordinate circumcentre (const Coordinate &p0, const Coordinate &p1, const Coordinate &p2)

Coordinate p0

Coordinate p1

Coordinate p2

## Detailed Description

Represents a planar triangle, and provides methods for calculating various properties of triangles.

## Member Function Documentation

 void geos::geom::Triangle::circumcentre ( Coordinate & resultPoint )

Computes the circumcentre of a triangle. The circumcentre is the centre of the circumcircle, the smallest circle which encloses the triangle. It is also the common intersection point of the perpendicular bisectors of the sides of the triangle, and is the only point which has equal distance to all three vertices of the triangle.

The circumcentre does not necessarily lie within the triangle. For example, the circumcentre of an obtuse isoceles triangle lies outside the triangle.

This method uses an algorithm due to J.R.Shewchuk which uses normalization to the origin to improve the accuracy of computation. (See Lecture Notes on Geometric Robustness, Jonathan Richard Shewchuk, 1999).

Parameters
 resultPoint the point into which to write the inCentre of the triangle
 void geos::geom::Triangle::inCentre ( Coordinate & resultPoint )

The inCentre of a triangle is the point which is equidistant from the sides of the triangle. This is also the point at which the bisectors of the angles meet.

Parameters
 resultPoint the point into which to write the inCentre of the triangle

The documentation for this class was generated from the following file: