hypotrochoidn.
/h(a)ɪpəʊˈtrəʊkɔɪd//h(a)ɪˈpɒtrəʊkɔɪd/ Geometry.
The curve described by a point rigidly connected with the centre of a circle which rolls on the inside of another circle.
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.
1879 W. Thomson & P. G. Tait Treat. Nat. Philos. (new ed.) I: Pt. i. §94 When the tracing point is not in the circumference, we have Epitrochoids and Hypotrochoids.
Derivatives
hypotroˈchoidal adj. of the form of, or pertaining to, a hypotrochoid.
ΘΚΠ
the world > relative properties > number > geometry > curve > [adjective] > other
caustic1728
hypotrochoidal1843
hodographic1847
Pippian1857
tetrazomal1867
trizomal1867
three-bar1875
sinusoidal1878
1843 Penny Cycl. XXV. 283/1 When the convexities are opposed, the trochoidal system is called epi-trochoidal, and when concavity fits convexity, hypo-trochoidal.
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