different between hypocycloid vs epicycle

English

Etymology

hypo- (“below or inside”) +? cycloid

Noun

hypocycloid (plural hypocycloids)

1. (geometry) The locus of a point on the circumference of a circle that rolls without slipping inside the circumference of another circle.

Translations

See also

• cycloid
• epicycloid
• roulette
• Spirograph™
• astroid

English

Etymology

From Latin epicyclus, from Ancient Greek ????????? (epíkuklos), from ??? (epí, “upon”) + ?????? (kúklos, “circle”).

Pronunciation

• (UK) IPA^(key): /??p??sa?k?l/

Noun

epicycle (plural epicycles)

1. (astronomy) A small circle whose centre is on the circumference of a larger circle; in Ptolemaic astronomy it was seen as the basis of revolution of the "seven planets", given a fixed central Earth.
   • , Folio Society, 2006, vol.1, p.155:

     Is it not [Philosophie], that […] teacheth miserie, famine and sicknesse to laugh? Not by reason of some imaginarie Epicicles, but by naturall and palpable reasons.

2. (mathematics) Any circle whose circumference rolls around that of another circle, thus creating a hypocycloid or epicycloid.
3. (organic chemistry) A ring of atoms joining parts of an already cyclic compound
4. (figuratively) An ad hoc complication added to a model to make it fit the known data
   • 1978, The Journal of the Siam Society, volumes 66-67, page 152:

     If two chronicles seemed contradictory, instead of trying to choose between them, a rationalization (epicycle) was devised to cover both.

   • 1998, Paul Joseph Kelly, Impartiality, Neutrality and Justice: Re-reading Brian Barry’s Justice as Impartiality, page 12:

     Rather than solve the theoretical problem of how to produce a method of political ethics, the contractarian device introduces an unnecessary theoretical epicycle into what is otherwise a coherent account of social justice in particular and political morality in general.

Derived terms

• epicyclic

Translations