Geometry > The Involute of a square and other shapes
- I can trace and name the locus of a string end as it unwinds from a plane geometric figure i.e. involute.
By the end of the lesson I will be able to:
- Draw one revolution of an involute
- Draw a part revolution of an involute (or a combination of)
- Design my own shapes using the involutes
Before studying this lesson I need to make sure that I know how to:
- Draw a radial lines
- Draw a neat freehand curve
The Involute of a square
is the locus
of a point of a string as it unwinds from a square. This involute is drawn using compasses To see an example of this you can visit:
Note that the line forming the involute is the green one as it is the one that lies on the end of the string.