Learning Plane Geometry

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Documentation for package ‘LearnGeom’ version 1.5

• DESCRIPTION file.
• User guides, package vignettes and other documentation.

Help Pages

AddPointPoly	Adds a point to a previously defined polygon
Angle	Computes the angle between three points
CenterPolygon	Computes the center of a given polygon. The center is obtained by averaging the x and y coordinates of the polygon
Circumcenter	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
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
CreateLinePoints	Creates a vector that represents the line that connects two points
CreatePolygon	Creates a matrix to represent the polygon that connects several points
CreateRegularPolygon	Creates a matrix to represent a regular polygon
CreateSegmentAngle	Creates a matrix that represents the segment that starts from a point with certain length and angle
CreateSegmentPoints	Creates a matrix that represents the segment that connects two points
DistanceLines	Computes the distance between two lines
DistancePointLine	Computes the distance between a point and a line
DistancePoints	Computes the distance between two points
Draw	Plots a geometric object
Duopoly	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
FractalSegment	Plots a fractal curve starting from a segment
Homothety	Creates an homothety from a given polygon
Incenter	Computes the incenter of a given triangle
IntersectLineCircle	Finds the intersection between a line and a circumference
IntersectLines	Finds the intersection of two lines
Koch	Plots the Koch curve
LinesAngles	Computes the angle that form two lines
MidPoint	Computes the middle point of the segment that connects two points
PolygonAngles	Computes each of the existing angles in a given polygon
ProjectPoint	Computes the orthogonal projection of a point onto a line
ReflectedPoint	Computes the reflected point about a line of a given point
ReflectedPolygon	Creates the reflection about a line of a given polygon
RemovePointPoly	Removes a point from a previously defined polygon
Rotate	Rotates a geometric object
SelectPoints	Selection of points from the coordinate plane
ShearedPolygon	Creates a sheared polygon from a given one
Sierpinski	Plots the Sierpinski triangle
SimilarPolygon	Creates a similar polygon to a given one
Soddy	Finds the inner and outer Soddy circles of three given mutually tangent circles
Star	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
Tessellation	Creates a tessellation from a starting set of geometric objects
Translate	Translates a geometric object