Definition of Hypocycloid

1. Noun. A line generated by a point on a circle that rolls around inside another circle.

Generic synonyms: Line Roulette, Roulette

Definition of Hypocycloid

1. n. A curve traced by a point in the circumference of a circle which rolls on the concave side in the fixed circle. Cf. Epicycloid, and Trochoid.

Definition of Hypocycloid

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

¹ Source: wiktionary.com

Definition of Hypocycloid

1. [n -S]

Medical Definition of Hypocycloid

1. A curve traced by a point in the circumference of a circle which rolls on the concave side in the fixed circle. Cf. Epicycloid, and Trochoid. Origin: F. Hypocycloide. Source: Websters Dictionary (01 Mar 1998)

Lexicographical Neighbors of Hypocycloid

hypocreales
hypocretin
hypocretins
hypocrisie
hypocrisies
hypocrism
hypocrisy
hypocrite
hypocritely
hypocrites
hypocritic
hypocritical
hypocritically
hypocrystalline
hypocupraemia
hypocycloid (current term)
hypocycloidal
hypocycloids
hypocystotomy
hypocythemia
hypocytosis
hypodactylum
hypodactyly
hypodensities
hypodensity
hypoderm
hypoderma
hypodermal
hypodermas
hypodermatic

Literary usage of Hypocycloid

Below you will find example usage of this term as found in modern and/or classical literature:

1. Mathematical Questions and Solutions by W. J. C. Miller (1874)
"The tangent to the hypocycloid has a constant length a intercepted between ... The equation of any involute of the hypocycloid will be found by taking 4« ..."

2. A Treatise on Some New Geometrical Methods by James Booth (1873)
"hence (a) If we put R for the radius of the base circle, R=4r, and the equation of the hypocycloid becomes Since £ and - denote the intercepts of the axes ..."

3. Analytic Geometry and Calculus by Frederick Shenstone Woods, Frederick Harold Bailey (1917)
"The hypocycloid. When a circle rolls upon- the inside of a fixed circle, each point of the rolling circle describes a curve called the hypocycloid. ..."

4. Elements of Machine Construction and Drawing: Or, Machine Drawing, with Some by Samuel Edward Warren (1895)
"To Construct any hypocycloid. The construction, PI. XVIII., Figs. 5, 6, is again so closely analogous to the preceding cases, that it only seems necessary ..."

5. A Text-book of Applied Mechanics and Mechanical Engineering by Andrew Jamieson (1903)
"When the hypocycloid is a Straight Line—(IV.) When the hypocycloid is a Point—Cycloidal Teeth—Gee's Patent Toothed Gearing—Exact Method of Drawing the ..."

6. Differential and Integral Calculus by Clyde Elton Love (1916)
"The hypocycloid. A point on the circumference of a circle that rolls on the inside of a fixed circle generates a hypocycloid. Its equations are obtained in ..."

7. A Treatise on the Cycloid and All Forms of Cycloidal Curves, and on the Use by Richard Anthony Proctor (1878)
"There are many forms, both of the epicycloid and of the hypocycloid, ... THE STRAIGHT hypocycloid. The hypocycloid becomes a straight line when the diameter ..."

8. An Elementary Treatise on Cubic and Quartic Curves by Alfred Barnard Basset (1901)
"The Four-cusped hypocycloid. 332. Putting a = 46 in (18) of § 317, the equations of the curve become x = 36 cos 0 + b cos 30 = a cos' y = 36 sin 6 — b sin ..."

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