the epicycle is not a linear function of the angle of the deferent. In the Hipparchian system the epicycle rotated and revolved along the deferent with...

backward in retrograde motion, and then again reversed to resume normal, or prograde, motion. The deferent-and-epicycle model had been used by Greek astronomers...

retrograde motion was explained by having the planets travel in deferents and epicycles. It was not understood to be an illusion until the time of Copernicus...

theory of eccentrics and epicycles (and their deferents). This was further elaborated on by Hipparchus in the second century BC and, later, by Ptolemy in...

opposite to Earth from the deferent's center, known as the eccentric (represented by the × ). A planet or the center of an epicycle (a smaller circle carrying...

{R+r}{r}}\theta \right)} List of periodic functions Cycloid Cyclogon Deferent and epicycle Epicyclic gearing Epitrochoid Hypocycloid Hypotrochoid Multibrot...

of the planets, a system of deferents and epicycles was used. The planet was said to revolve in a small circle (the epicycle) about a center, which itself...

Greek concepts of deferent and epicycle in the Ptolemaic system of astronomy were related to Fourier series (see Deferent and epicycle § Mathematical formalism)...

Russell's teapot Deferent and epicycle § Bad science No true Scotsman Special pleading The Structure of Scientific Revolutions Proofs and Refutations "The...

the planets are each governed by two epicycles, a smaller manda (slow) epicycle and a larger śīghra (fast) epicycle. It has been suggested by some commentators...