hypocycloidn.
/hʌɪpə(ʊ)ˈsʌɪklɔɪd//hɪpə(ʊ)ˈsʌɪklɔɪd/ Geometry.
A curve traced by a point in the circumference of a circle which rolls round the interior circumference of another circle (cf. epicycloid n.).
ΘΚΠ
the world > relative properties > number > geometry > curve > [noun] > generated by or related to a point > by revolution
cycloid1661
epicycloid1696
trochoid1704
involute figure or curve1706
roulette1708
evolute1753
epicycle1756
involute1796
hypocycloid1843
hypotrochoid1843
axoid1876
epicyclic1878
astroid1886
1843 Penny Cycl. XXV. 282/1 A class [of curves] called..hypotrochoids, of which one particular case is the hypocycloid.
1854 H. Moseley Lect. Astron. (ed. 4) lxi. 183 This curve..being of the nature of an hypocycloid.
1879 W. Thomson & P. G. Tait Treat. Nat. Philos. (new ed.) I: Pt. i. §94 The curve..is called an Epicycloid, or a Hypocycloid, as the rolling circle is without or within the fixed circle.
Derivatives
hypocyˈcloidal adj. of the nature or form of a hypocycloid.
ΘΚΠ
the world > relative properties > number > geometry > curve > [adjective] > generated by revolution of point
cycloidal1704
epicycloidal1706
cycloidical1793
trochoidal1799
hypocycloidal1881
1881 F. J. Britten Watch & Clockmakers' Handbk. (ed. 4) 17 The pinion flanks should be hypocycloidal in form.
This entry has not yet been fully updated (first published 1899; most recently modified version published online December 2019).
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n.1843