Triangle Solutions

Triangle computations. More...

Collaboration diagram for Triangle Solutions:

Files
file	math.scad
	Mathematical functions.

Functions
function	triangle_lll2vp (s1, s2, s3)
	Compute the vertices of a plane triangle given its side lengths. More...
function	triangle_vl2vp (v)
	Compute the vertices of a plane triangle given its side lengths. More...
function	triangle_ppp2vl (v1, v2, v3)
	Compute the side lengths of a triangle given its vertices. More...
function	triangle_vp2vl (v)
	Compute the side lengths of a triangle given its vertices. More...
function	triangle_centroid_ppp (v1, v2, v3)
	Compute the centroid (geometric center) of a triangle. More...
function	triangle_centroid_vp (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_vp (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_vp (v)
	Compute the inradius of a triangle's incircle. More...

Detailed Description

Triangle computations.

See Wikipedia for more information.

Function Documentation

function triangle_centroid_ppp	(	v1	,
		v2	,
		v3
	)

Compute the centroid (geometric center) of a triangle.

Parameters

v1	<vector> A vector [x, y] for vertex 1 coordinates.
v2	<vector> A vector [x, y] for vertex 2 coordinates.
v3	<vector> A vector [x, y] for vertex 3 coordinates.

Returns

<vector> A vector [x, y] of coordinates.

function triangle_centroid_vp

(

v

)

Compute the centroid (geometric center) of a triangle.

Parameters

v	<vector> A vector [v1, v2, v3] of vectors [x, y] coordinates.

Returns

<vector> A vector [x, y] of coordinates.

function triangle_incenter_ppp	(	v1	,
		v2	,
		v3
	)

Compute the coordinate for the triangle's incircle.

Parameters

v1	<vector> A vector [x, y] for vertex 1 coordinates.
v2	<vector> A vector [x, y] for vertex 2 coordinates.
v3	<vector> A vector [x, y] for vertex 3 coordinates.

Returns

<vector> A vector [x, y] of coordinates.

The interior point for which distances to the sides of the triangle are equal.

function triangle_incenter_vp

(

v

)

Compute the coordinate for the triangle's incircle.

Parameters

v	<vector> A vector [v1, v2, v3] of vectors [x, y] coordinates.

Returns

<vector> A vector [x, y] of coordinates.

The interior point for which distances to the sides of the triangle are equal.

function triangle_inradius_ppp	(	v1	,
		v2	,
		v3
	)

Compute the inradius of a triangle's incircle.

Parameters

v1	<vector> A vector [x, y] for vertex 1 coordinates.
v2	<vector> A vector [x, y] for vertex 2 coordinates.
v3	<vector> A vector [x, y] for vertex 3 coordinates.

Returns

<decimal> The incircle radius.

function triangle_inradius_vp

(

v

)

Compute the inradius of a triangle's incircle.

Parameters

v	<vector> A vector [v1, v2, v3] of vectors [x, y] coordinates.

Returns

<decimal> The incircle radius.

function triangle_lll2vp	(	s1	,
		s2	,
		s3
	)

Compute the vertices of a plane triangle given its side lengths.

Parameters

s1	<decimal> The length of the side 1.
s2	<decimal> The length of the side 2.
s3	<decimal> The length of the side 3.

Returns

<vector> A vector [v1, v2, v3] of vectors [x, y] of coordinates.

Vertex v1 at the origin. Geometry required that s1 + s2 is greater then s3. Coordinates v3:[x, y] will be 'nan' when specified triangle does not exists.

Note

Side length s1 is measured along the positive x-axis.

Sides are numbered counterclockwise.

function triangle_ppp2vl	(	v1	,
		v2	,
		v3
	)

Compute the side lengths of a triangle given its vertices.

Parameters

v1	<vector> A vector [x, y] for vertex 1 coordinates.
v2	<vector> A vector [x, y] for vertex 2 coordinates.
v3	<vector> A vector [x, y] for vertex 3 coordinates.

Returns

<vector> A vector [s1, s2, s3] of lengths.

Note

Vertices are numbered counterclockwise.

function triangle_vl2vp

(

v

)

Compute the vertices of a plane triangle given its side lengths.

Parameters

v	<vector> of decimal side lengths.

Returns

<vector> A vector [v1, v2, v3] of vectors [x, y] of coordinates.

Vertex vs[0] at the origin. Geometry required that vs[0] + vs[1] is greater then vs[2]. Coordinates v3:[x, y] will be 'nan' when specified triangle does not exists.

Note

Side length vs[0] is measured along the positive x-axis.

Sides are numbered counterclockwise.

function triangle_vp2vl

(

v

)

Compute the side lengths of a triangle given its vertices.

Parameters

v	<vector> A vector [v1, v2, v3] of vectors [x, y] coordinates.

Returns

<vector> A vector [s1, s2, s3] of lengths.

Note

Vertices are numbered counterclockwise.