Thales discovered the theorem that the sides of equiangular triangles are proportional.
If A or B vanish we have an equiangular spiral, and the velocity at infinity is zero.
But since an equiangular spiral having a given pole is completely determined by a given point and a given tangent, this type of orbit is not a general one for the law of the inverse cube.
Incidentally Pappus describes the thirteen other polyhedra bounded by equilateral and equiangular but not similar polygons, discovered by Archimedes, and finds, by a method recalling that of Archimedes, the surface and volume of a sphere.
Tait that a similar representation of the type (30) is obtained if we replace the circle by an equiangular spiral described, with a constant angular velocity about the pole, in the direction of diminishing radius vector.
Again, in the equiangular spiral we have p =r sin a, and therefore P = u/ri, if u =hh/sinh a.
Where m=4(3n), except in the case 11=3, when the orbit is an equiangular spiral.