Posts Tagged ‘brachistochrone problem’
Tuesday, September 29th, 2009
Definition of a Hypocycloid
Description
A detailed tutorial on the definition of a hypocycloid. Step by step tutorial including a visual example of the definition of a hypocycloid for reference.
Overview
A hypocycloid is not really an equation, or a graph, or any true function. A hypocycloid is simply a representation of the edge of a wheel or other circular item rolling on the inside of a circle to form curves. What is more noticeable than the curves it forms is the shape enclosed by the curves, which is almost like a stretched out diamond. This stretched out shape is the real hypocycloid.
Tags: brachistochrone problem, Calculus, circle, circular wheel, curves, cycloid, epicycloid, hypocycloid, Math, parameter, polar coordinates, polar graph, radians, roulette, round, tautochrone problem, The Helen of Geometers
Posted in Calculus | No Comments »
Tuesday, September 29th, 2009
Definition of an Epicycloid
Description
A detailed tutorial on the definition of an epicycloid. Step by step tutorial including a visual example of the definition of an epicycloid for reference.
Overview
An epicycloid is not really an equation, or a graph, or any true function. An epicycloid is simply a representation of the edge of a wheel or other circular item rolling along the edge of a circle to form curves. The curve it forms is really several concave down curves side by side, in a circular pattern.
Tags: brachistochrone problem, Calculus, circle, circular wheel, curves, cycloid, epicycloid, hypocycloid, Math, parameter, polar coordinates, polar graph, radians, roulette, round, tautochrone problem, The Helen of Geometers
Posted in Calculus | No Comments »
Tuesday, September 29th, 2009
Definition of a Cycloid
Description
A detailed tutorial on the definition of a cycloid. Step by step tutorial including a visual example of the definition of a cycloid for reference.
Overview
A cycloid is not really an equation, or a graph, or any true function. A cycloid is simply a representation of the edge of a wheel or other circular item rolling in a straight line to form curves. The curve it forms is really several concave down curves side by side.
Tags: brachistochrone problem, Calculus, circle, circular wheel, cycloid, Math, parameter, polar coordinates, polar graph, radians, roulette, tautochrone problem, The Helen of Geometers
Posted in Calculus | No Comments »
