For ten points, identify these mathematical curves, of which the most famous is the Archimedean.
The Nielsen type of these can be used to derive the Cesaro equation. One of these named after Cotes represents the solutions to a central orbit subject to an inverse-cubed force law, and a polygonal one may be generated from the ratios of the inradius to circumradius of a regular polygon. One of these objects named after Ulam is a graphical representation of the primes, while the Cornu type is a plot of the solutions of the Fresnel integrals. More famous are the Fermat and hyperbolic varieties, which correspond to special cases of the equation "r equals a times theta raised to the 1 over n power." For ten points, identify these mathematical curves, of which the most famous is the Archimedean.
The Nielsen type of these can be used to derive the Cesaro equation.
spiral