Definition of Trochoid

1. n. The curve described by any point in a wheel rolling on a line; a cycloid; a roulette; in general, the curve described by any point fixedly connected with a moving curve while the moving curve rolls without slipping on a second fixed curve, the curves all being in one plane. Cycloids, epicycloids, hypocycloids, cardioids, etc., are all trochoids.



2. a. Admitting of rotation on an axis; -- sometimes applied to a pivot joint like that between the atlas and axis in the vertebral column.

Definition of Trochoid

1. Noun. (mathematics) The curve traced by a point on a circle as it rolls along a straight line ¹

2. Adjective. capable of rolling ¹

3. Adjective. allowing rotation ¹

¹ Source: wiktionary.com

Definition of Trochoid

1. a type of geometric curve [n -S]

Medical Definition of Trochoid

1. 1. The curve described by any point in a wheel rolling on a line; a cycloid; a roulette; in general, the curve described by any point fixedly connected with a moving curve while the moving curve rolls without slipping on a second fixed curve, the curves all being in one plane. Cycloids, epicycloids, hypocycloids, cardioids, etc, are all trochoids. 2. Admitting of rotation on an axis; sometimes applied to a pivot joint like that between the atlas and axis in the vertebral column. 3. Top-shaped; having a flat base and conical spire; said of certain shells. 4. Of or pertaining to the genus Trochus or family Trochidae. Origin: Gr. A wheel; cf. F. Trochoide. See Troche. (28 Oct 1998)

Trochoid Pictures

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Lexicographical Neighbors of Trochoid

trochlear notch
trochlear nucleus
trochlear pit
trochlear process
trochlear spine
trochleariform
trochlearis
trochlears
trochleary
trochleas
trochleiform
trochoblast
trochoblasts
trochocardia
trochoid (current term)
trochoid articulation
trochoid joint
trochoidal
trochoids
trochometer
trochometers
trochophore
trochophores
trochorizocardia
trochosphere
trochospheres
trochus
trochuses
trock

Literary usage of Trochoid

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

1. The Encyclopedia Americana: A Library of Universal Knowledge (1920)
"This very singular property of the trochoid with respect to motion was first ... From this it is easily seen that if any body whatever move in a trochoid by ..."

2. Differential and Integral Calculus: With Examples and Applications by George Abbott Osborne (1908)
"trochoid 291. Definition and Equation. When a circle rolls along a straight line, a point on a radius or radius produced describes a curve called the ..."

3. Mechanical Text-book Or Introduction To The Study of Mechanics by William John Macquorn Rankine, Edward Fisher Bamber (1900)
"Boiling Cylinder; trochoid.—Every straight line parallel to the moving axis C, in a cylindrical surface described about C mt » = a-AT (2. ..."

4. Constructive Geometry of Plane Curves: With Numerous Examples by Thomas Henry Eagles (1885)
"The Hypo-trochoid is the curve traced out by any point in the plane, but not on the circumference of a circle, rolling on the concave side of a fixed circle ..."

5. A Manual of Machinery and Millwork by William John Macquorn Rankine (1893)
"The particular form of trochoid, called the cycloid, is described by each of the points in the rolling cylindrical surface. ~~t. ..."

6. An Elementary Treatise on the Differential Calculus Founded on the Method of by John Minot Rice, William Woolsey Johnson (1877)
"In this way Roberval proved that the area of the cycloid is three times that of the generating circle. The trochoid. ..."

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