omdl  v0.6.1
OpenSCAD Mechanical Design Library
math_triangle.scad File Reference

Triangle solutions mathematical functions. More...

#include <math-base.scad>
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Functions

function triangle_sss2lp (s1, s2, s3, cw=true)
 Compute the vertex coordinates of a triangle given its side lengths. More...
 
function triangle_ls2lp (v, cw=true)
 Compute the vertex coordinates of a triangle given its side lengths. More...
 
function triangle_ppp2ls (v1, v2, v3)
 Compute the side lengths of a triangle given its vertex coordinates. More...
 
function triangle_lp2ls (v)
 Compute the side lengths of a triangle given its vertex coordinates. More...
 
function triangle_area_ppp (v1, v2, v3, s=false)
 Compute the signed area of a triangle given its vertex coordinates. More...
 
function triangle_area_lp (v, s=false)
 Compute the signed area of a triangle given its vertex coordinates. More...
 
function triangle_centroid_ppp (v1, v2, v3)
 Compute the centroid (geometric center) of a triangle. More...
 
function triangle_centroid_lp (v)
 Compute the centroid (geometric center) of a triangle. More...
 
function triangle_incenter_ppp (v1, v2, v3)
 Compute the coordinate for the triangle's incircle. More...
 
function triangle_incenter_lp (v)
 Compute the coordinate for the triangle's incircle. More...
 
function triangle_inradius_ppp (v1, v2, v3)
 Compute the inradius of a triangle's incircle. More...
 
function triangle_inradius_lp (v)
 Compute the inradius of a triangle's incircle. More...
 
function triangle_is_cw_ppp (v1, v2, v3)
 Test the vertex ordering, or orientation, of a triangle. More...
 
function triangle_is_cw_lp (v)
 Test the vertex ordering, or orientation, of a triangle. More...
 
function triangle_is_pit_ppp (v1, v2, v3, t)
 Test if a point is inside a triangle in a Euclidean 2d-space using Barycentric. More...
 
function triangle_is_pit_lp (v, t)
 Test if a point is inside a triangle in a Euclidean 2d-space using Barycentric. More...
 

Detailed Description

Triangle solutions mathematical functions.

Author
Roy Allen Sutton
Date
2015-2017

This file is part of omdl, an OpenSCAD mechanical design library.

The omdl is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 2.1 of the License, or (at your option) any later version.

The omdl is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details.

You should have received a copy of the GNU Lesser General Public License along with the omdl; if not, write to the Free Software Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA; or see http://www.gnu.org/licenses/.

Definition in file math_triangle.scad.