Attempts to solve the isoperimetric problem along with attempts to find it led to the calculus of variations.
Attempts to solve the isoperimetric problem along with attempts to find it led to the calculus of variations. Also known as the "curve of fastest descent", it is the planar curve on which a body subjected only to the force of gravity will slide without friction between two points in the least possible time. First proposed by Galileo, finding this curve turned out to be rather complicated, leading a Swiss mathematician to offer a reward for the first person to find this curve. Eventually, Jakob and Johann Bernoulli, as well as Leibnitz, Newton, and others, found, FTP, what curve to be a cycloid?
Attempts to solve the isoperimetric problem along with attempts to find it led to the calculus of variations.
{brachistochrone} (prompt on “cycloid” before it is said)