Definition of Epicycloid

1. Noun. A line generated by a point on a circle rolling around another circle.

Generic synonyms: Line Roulette, Roulette
Specialized synonyms: Cardioid



Definition of Epicycloid

1. n. A curve traced by a point in the circumference of a circle which rolls on the convex side of a fixed circle.

Definition of Epicycloid

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

¹ Source: wiktionary.com

Definition of Epicycloid

1. [n -S]

Medical Definition of Epicycloid

1. A curve traced by a point in the circumference of a circle which rolls on the convex side of a fixed circle. Any point rigidly connected with the rolling circle, but not in its circumference, traces a curve called an epitrochoid. The curve traced by a point in the circumference of the rolling circle when it rolls on the concave side of a fixed circle is called a hypocycloid; the curve traced by a point rigidly connected with the rolling circle in this case, but not its circumference, is called a hypotrochoid. All the curves mentioned above belong to the class class called roulettes or trochoids. See Trochoid. Origin: Epicycle: cf. F. Epicycloide. Source: Websters Dictionary (01 Mar 1998)

Epicycloid Pictures

Click the following link to bring up a new window with an automated collection of images related to the term: Epicycloid Images

Lexicographical Neighbors of Epicycloid

epicurized
epicurizes
epicurizing
epicutaneous
epicutaneously
epicuticle
epicuticles
epicuticular
epicycle
epicycles
epicyclic
epicyclic gear
epicyclic gear train
epicyclic train
epicyclical
epicycloid (current term)
epicycloidal
epicycloids
epicystitis
epicyte
epicœnes
epideictic
epideictically
epidemic
epidemic benign dry pleurisy
epidemic cerebrospinal meningitis
epidemic cholera
epidemic curve
epidemic diaphragmatic pleurisy
epidemic disease

Literary usage of Epicycloid

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

1. The Elementary Part of A Treatise on the Dynamics of a System of Rigid by Edward John Routh (1891)
"The equation to an epicycloid generated by the rolling of a circle whose radius is b on a fixed circle whose radius is a is known to be where >• is the ..."

2. Practical Essays on Mill Work and Other Machinery by Robertson Buchanan, Thomas Tredgold (1841)
"Suppose this epicycloid attached to the circle R, it (the epicycloid) shall conduct the circle Y, pushing it round by the point E of its circumference, ..."

3. The Operative Mechanic, and British Machinist: Being a Practical Display of by John Nicholson (1825)
"39, rolls in the inside of circle 2, the line described by the point a is then called an Ulterior epicycloid. In fis. 38, the circle amn is called the ..."

4. An Elementary Treatise on Cubic and Quartic Curves by Alfred Barnard Basset (1901)
"This is the tangential polar equation of an epicycloid and is of the form p = c sin n6 ; it is also the pedal of the curve with respect to the centre of the ..."

5. The Elements of Descriptive Geometry: Shadows and Perspective. With a Brief by Samuel Edward Warren (1877)
"To construct the projections of a spherical epicycloid, and of a tangent line to it at any point. In Space.—The generatrix/ (165) of the curve is at any ..."

6. An Elementary Treatise on the Differential Calculus: Containing the Theory by Benjamin Williamson (1899)
"Pedal of epicycloid.—The equation of the pedal, with respect to the centre ... Equation of epicycloid in terms of r ;md />.— Again, draw OL parallel to DN, ..."

Other Resources Relating to: Epicycloid

Search for Epicycloid on Dictionary.com!Search for Epicycloid on Thesaurus.com!Search for Epicycloid on Google!Search for Epicycloid on Wikipedia!

Search

Translations