Compass and Straight Edge Construction

Geometric construction is a classic form of math that studies building forms and shapes using a compass and straight edge. Modern mathematics has evolved to favor the cartesian coordinate system for modeling these types of problems, especially when a computer is involved. That being said, these types of geometric problems are interesting and worth studying as they are useful in construction, art and problem solving in general.

Constructing Shapes

Construct Equilateral Triangle | Example

This example demonstrates how to construct an equilateral triangle using a compass and ruler. An equilateral triangle is a triangle whose sides are of equal length.

Construct Golden Rectangle | Example

How to build the golden rectangle using a compass and ruler. This geometric construction also demonstrates how to find the golden ratio.

Construct Ellipse With Two Tacks, String, and Pencil | Example

This video shows how to construct an ellipse using two tacks, a string, and pencil.

Construct Pentagon | Example

This example demonstrates how to construct an pentagon using a straight edge and ruler. A hexagon is a polygon with five equal length sides.

Construct Hexagon | Example

This example demonstrates how to construct an hexagon using a straight edge and ruler. A hexagon is a polygon with six equal length sides.

Utility

Bisect Angle With Compass and Straight Edge | Example

How to divide an angle into two equal parts using a compass and straight edge.

Bisect Line With Compass and Straight Edge | Example

How to bisect line with compass and straight edge.

Construct Perpendicular Line | Example

How to construct a perpendicular line given a straight line.