Learn R Programming

LearnGeom (version 1.5)

Learning Plane Geometry

Description

Contains some functions to learn and teach basic plane Geometry at undergraduate level with the aim of being helpful to young students with little programming skills.

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Version

Install

install.packages('LearnGeom')

Monthly Downloads

271

Version

1.5

License

GPL-2

Maintainer

Alvaro Redon

Last Published

July 14th, 2020

Functions in LearnGeom (1.5)

Adds a point to a previously defined polygon

Computes the angle between three points

Computes the center of a given polygon. The center is obtained by averaging the x and y coordinates of the polygon

Creates a matrix to represent the polygon that connects several points

CreateLinePoints

Creates a vector that represents the line that connects two points

Computes the distance between two points

DistancePointLine

Computes the distance between a point and a line

Computes each of the existing angles in a given polygon

CreateArcPointsDist

Creates an arc of a circumference to connect two points

CreateLineAngle

Creates a vector to represent a line that passes through a point and forms certain angle with X axis

Computes the orthogonal projection of a point onto a line

Computes the circumcenter of a given triangle, that is, the intersection of its three medians

CoordinatePlane

Plots an empty coordinate (cartesian) plane with customizable limits for the X and Y axis

CreateArcAngles

Creates an arc of a circumference

Finds the inner and outer Soddy circles of three given mutually tangent circles

Plots a geometric object

Rotates a geometric object

Plots a fractal curve from the trochoids family. Any curve from this family can be defined by some parametrical equations, but they can also be produced (approximated) through a simple iterative process based on segment drawing for certain angles and lengths

RemovePointPoly

Removes a point from a previously defined polygon

CreateRegularPolygon

Creates a matrix to represent a regular polygon

Computes the angle that form two lines

CreateSegmentAngle

Creates a matrix that represents the segment that starts from a point with certain length and angle

Creates a closed curve with the shape of a star. Each of the stars produced by this function is built through a simple iterative process based on segment drawing for certain angles and lengths. It can also produce regular polygons for some combinations of the parameters

Plots the Sierpinski triangle

Computes the middle point of the segment that connects two points

Creates a similar polygon to a given one

CreateSegmentPoints

Creates a matrix that represents the segment that connects two points

Finds the intersection of two lines

Computes the incenter of a given triangle

Computes the distance between two lines

Plots a fractal curve starting from a segment

Creates an homothety from a given polygon

Computes the reflected point about a line of a given point

Plots the Koch curve

Creates a tessellation from a starting set of geometric objects

ReflectedPolygon

Creates the reflection about a line of a given polygon

Selection of points from the coordinate plane

IntersectLineCircle

Finds the intersection between a line and a circumference

Creates a sheared polygon from a given one

Translates a geometric object