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## mertan

0.0.3 • Public • Published

# rational geometry

Basic geometrical functions

# Support # Examples

``````var gm = require('mertan')
, V = require('momentum')
, R = require('rationals')

var line2D_1 = gm.line(V([2,0]),V([4,2]))
, point2D_1 = V([0,-1])
, point2D_2 = [R(-2),R(2)] // this is the same as the above
, line2D_2 = gm.line([R(0),R(3,2)],[R(6),R(-3)])
, line2D_3 = gm.line([R(2),R(1)],[R(3),R(0)])
, line2D_4 = gm.line([R(-3),R(-3)],[R(-20),R(0)])
, line2D_5 = gm.line([R(3),R(-3)],[R(0),R(20)])
, line3D_1 = gm.line(V([3,6,1]),V([3,-4,-1]))
, line3D_2 = gm.line(V([3,6,1]),V([9,-12,-3]))
, line3D_3 = gm.line(V([-1,2,-3]),V([5,-1,2]))
, line3D_4 = gm.line(V([6,-5,4]),V([3,-11,-13]))

line2D_1.has(point2D_1) // true
line2D_1.has(point2D_2) // false

line2D_1.parallelTo(line2D_2) // false
line2D_3.parallelTo(line2D_4) // true
line3D_1.parallelTo(line3D_2) // true

line2D_1.perpendicularTo(line2D_2) // false
line3D_3.perpendicularTo(line3D_4) // true
line3D_2.perpendicularTo(line3D_4) // false

gm.S(line2D_4.vector, line2D_5.vector) // R(1)
gm.S(line3D_1.vector, line3D_2.vector) // R(0)

``````

# API

#### Points

Points are just regular arrays of rational number objectss.

#### Lines

Lines are represented by one point on them and a direction vector This `gm.line([R(0),R(3,2)],[R(6),R(-3)])` returns an object with properties `base` as the point and `vector` as the direction vector. This is the same line as `x+2y=3`.

Returns the rational trigonometry definition of the quadrance as a rational number object (basicaly square of the distance in Euclidean geometry) `gm.Q([R(3),R(-12)],[R(15),R(4)]) // R(400)`

Returns the rational trigonometry definition of the spread as a rational number object (it is a rational alternative to the concept of angle) `gm.S(line2D_4.vector, line2D_5.vector) // R(1)`

# Install

``````npm install mertan
``````

You can use it in the browser with browserify

## Keywords

none

### Install

`npm i mertan`

3

0.0.3