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Definition of Hypocycloid
1. Noun. A line generated by a point on a circle that rolls around inside another circle.
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.
Lexicographical Neighbors of Hypocycloid
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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