hypocycloid

American  

[hahy-puh-sahy-kloid] / ˌhaɪ pəˈsaɪ klɔɪd /

noun

Geometry.

1. a curve generated by the motion of a point on the circumference of a circle that rolls internally, without slipping, on a given circle.

---

hypocycloid British  

/ ˌhaɪpəˈsaɪklɔɪd /

noun

1. a curve described by a point on the circumference of a circle as the circle rolls around the inside of a fixed coplanar circle Compare epicycloid cycloid

---

hypocycloid Scientific  

/ hī′pō-sī′kloid′ /

1. The curve described by a point on the circumference of a circle as the circle rolls on the inside of the circumference of a second, fixed circle.

---

Other Word Forms

• hypocycloidal
  adjective

Etymology

Origin of hypocycloid

First recorded in 1835–45; hypo- + cycloid

Example Sentences

See Examples For:

hypocycloid

Figure 1.10 Graph of the hypocycloid described by the parametric equations shown.

From Textbooks ● Mar. 30, 2016

Figure 7.10 Graph of the hypocycloid described by the parametric equations shown.

From Textbooks ● Mar. 30, 2016

You can make a hypocycloid by rolling a circle around in a circle, and you can also roll a hypocycloid around in another hypocycloid!

From Scientific American ● Dec. 4, 2013

A hypocycloid with 3 cusps, also called a deltoid, is made by rolling a circle inside a circle with a radius three times as large.

From Scientific American ● Dec. 4, 2013

In epicycloidal teeth the curve forming the face of the tooth is designated an epicycloid, and that forming the flank an hypocycloid.

From Modern Machine-Shop Practice, Volumes I and II by Rose, Joshua