A curve of pursuit is the path formed when two or more moving objects chase each other in a straight line. We will now look at each of the pursuit curves formed by the regular shapes identified with the ruling planets.

1. Triangle

Consider the equilateral triangle ABC drawn below. If each of the points A, B and C all move anti-clockwise simultaneously, with A moving towards B, B towards C and C towards A, we can draw a series of straight line snapshots.

pursuit-curves-1 pursuit-curves-2 pursuit-curves-3

When we continue to represent these snapshots, the pursuit curve of a triangle becomes clear. Eventually A, B and C will meet in the centre of the triangle.

pursuit-curves-4

The ruling planet identified with a triangle is Saturn.

pursuit-curves-saturn

2. Square

The ruling planet identified with a square is Jupiter.

pursuit-curves-jupiter

3. Pentagon

The ruling planet identified with a pentagon is Mars.

pursuit-curves-mars

4. Hexagon

The ruling planet identified with a hexagon is The Sun.

pursuit-curves-sun

5. Heptagon

The ruling planet identified with a heptagon is Venus.

pursuit-curves-venus

6. Octagon

The ruling planet identified with an Octagon is Mercury.

pursuit-curves-mercury

7. Nonagon

The ruling planet identified with a Nonagon is The Moon.

pursuit-curves-moon