James Bernoulli is also known as Jacob or Jacques. Torricelli, who died in 1647, worked on it independently and used for a definition the fact that the radii are in geometric progression if th angles increase uniformly. Though changed I rise unchanged'. It is defined as a curve that cuts all radii vectors at a constant angle. From any point P on the spiral, draw a line toward the center of the spiral.
P is constant, the curve is an equiangular spiral.
A special case of equiangular spiral is the circle, where the constant angle is 90 Degrees. Equiangular Spiral Family Equiangular spiral is the cross section of Nautilus and various other shells. One can also find it in the arrangement of seeds in sunflower, pine cones, and other growths. Formulas Let alpha be the constant angle. Suppose there are n bugs each at a corner of a n sided regular polygon.