Nicholas of Cusa studied them while attempting to find the area of a circle by integration, Vincenzo Viviani found a method of constructing tangents with them, and Charles Bouvelles discussed them in 1501 as a mechanical means of squaring the circle.
Nicholas of Cusa studied them while attempting to find the area of a circle by integration, Vincenzo Viviani found a method of constructing tangents with them, and Charles Bouvelles discussed them in 1501 as a mechanical means of squaring the circle. Pascal thought about them to take his mind off of a toothache, and later wrote a "History of" them. No matter where a particle is placed on an inverted one of these, it takes the same time to slide to the bottom, according to the Tautochrone problem. Also the solution to the Brachistochrone problem, this was named by Galileo, who suggested that arch bridges be built in the shape of this, and Huygens proposed that pendulum clocks swing in this kind of arc. FTP, name this curve traced out by a point on the circumference of a circle as the circle rolls along a straight line.
Nicholas of Cusa studied them while attempting to find the area of a circle by integration, Vincenzo Viviani found a method of constructing tangents with them, and Charles Bouvelles discussed them in 1501 as a mechanical means of squaring the circle.
cycloid[s]