# triangle

triangle, a Python code which computes properties of a triangle in 2D, including angles, area, centroid, circumcircle, edge lengths, incircle, orientation, orthocenter, and quality.

These properties include:

• Angles;
• Area;
• Centroid;
• Circumcircle (center and radius);
• Edge lengths;
• Incircle (center and radius);
• Orientation;
• Orthocenter;
• Quality: ratio of incircle radius / circumcircle radius;

### Licensing:

The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.

### Languages:

triangle is available in a C version and a C++ version and a FORTRAN90 version and a MATLAB version and a Python version.

### Related Data and Programs:

ellipse, a Python code which carries out geometric calculations for ellipses and ellipsoids, including area, distance to a point, eccentricity, perimeter, points along the perimeter, random sampling, conversion between standard and quadratic forms.

hypersphere, a Python code which carries out various operations for a D-dimensional hypersphere, including converting between Cartesian and spherical coordinates, stereographic projection, sampling the surface of the sphere, and computing the surface area and volume.

polygon, a Python code which computes properties of an arbitrary polygon in the plane, defined by a sequence of vertices, including interior angles, area, centroid, containment of a point, convexity, diameter, distance to a point, inradius, lattice area, nearest point in set, outradius, uniform sampling, and triangulation.

triangle_interpolate, a Python code which shows how vertex data can be interpolated at any point in the interior of a triangle.

TRIANGLES, a dataset directory which contains examples of triangles;

### Source Code:

Last revised on 04 February 2020.