An equiangular spiral is sometimes used to visualize such sequences.
2.
As the body approaches the centre its path approximates to an equiangular spiral.
3.
:: I've run into several people who thought that the golden ratio is in every equiangular spiral!
4.
On a stereographic projection map, a loxodrome is an equiangular spiral whose center is the North ( or South ) Pole.
5.
The body will spiral to infinity describing an equiangular spiral with the fixed angle equal to the angle at its point of release.
6.
With the same speed, if initially the radius is decreasing, it will spiral down to the centre describing an equiangular spiral.
7.
The shell, when cut away, reveals a lining of lustrous nacre and displays a nearly perfect equiangular spiral, although it is not a golden spiral.
8.
In Proposition 9 of Book 1, Newton proves the converse of Case 2 ., that if a body moves along an equiangular spiral, under the action of a central force, that force must be as the inverse of the cube of the radius.
मोबाइल