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" Cycloid. The cycloid is a curve generated by a point on the circumference of a circle which rolls on a straight line tangent to the circle. "
Cyclopedia of Architecture: Architectural drawing. Lettering - Page 55
1912
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A Dictionary of Science: Comprising Astronomy, Chemistry, Dynamics ...

George Farrer Rodwell - Physical sciences - 1871 - 622 pages
...celebrated in the history of Dynamics. The curve in this case is a cycloid, that is, the curve traced out by a point on the circumference of a circle which rolls on a straight line. BRAKE. (German, brake.) A piece of mechanism for retarding or stopping motion by friction, or by locking...
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The Quarterly Journal of Pure and Applied Mathematics, Volume 13

Mathematics - 1875 - 420 pages
...radius of curvature ; but the conclusion is verified by the known properties of cycloids and trochoids. A point on the circumference of a circle which rolls on a straight line has a cusp in its path at the point where it comes to the straight line. This cusp is a point of zero...
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Geometrical Exercises in Paper Folding

Tandalam Sundara Rao - Geometry - 1893 - 131 pages
...circumference traces out the curve called a Trochoid. THE EPICYCLOID. 20. An Epicycloid is the path described by a point on the circumference of a circle which rolls on the circumference of another fixed circle touching it on the outside. THE HYPOCYCLOID. 21. If the rolling...
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A Text-book on Applied Mechanics: Specially Arranged for the Use ..., Volume 1

Andrew Jamieson - Mechanical engineering - 1895 - 448 pages
...which rolls on the Convex arc of another circle. DEFINITION. — A Hypocycloid is a curve traced out by a point on the circumference of a circle which rolls on the Concave arc of another circle. The forms of these curves will be understood from the accompanying...
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An Elementary Treatise on Cubic and Quartic Curves

Alfred Barnard Basset - Curves, Cubic - 1901 - 284 pages
...of a general class of transcendental curves. The Cycloid. 308. The cycloid is the curve traced out by a point on the circumference of a circle which rolls on a straight line. To find the equation of the cycloid. Let a be the radius of the rolling circle CPO, which rolls on...
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T. Sundara Row's Geometric Exercises in Paper Folding

Tandalam Sundara Rao - Geometry - 1901 - 176 pages
...circumference traces out the curve called a trochoid. THE EPICYCLOID. 282. An epicycloid is the path described by a point on the circumference of a circle which rolls on the circumference of another fixed circle touching it on the outside. THE HYPOCYCLOID. When the radius...
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Cyclopedia of Engineering; a Complete Manual of Steam and Machine ..., Volume 4

1902 - 484 pages
...employed in drawing gear teeth are the cycloidal and involute. Cycloid. The cycloid is a curve generated by a point on the circumference of a circle which rolls on a straight line tangent to the circle. The rolling circle is called the describing or generating circle and the point, the describing or generating...
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Mechanical drawing

American School (Chicago, Ill.) - Engineering - 1903
...employed in drawing gear teeth are the cycloidal and involute. Cycloid. The cycloid is a curve generated by a point on the circumference of a circle which rolls on a straight line tangent to the circle. The rolling circle is called the describing or generating circle and the point, the describing от...
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A Text-book of Applied Mechanics and Mechanical Engineering, Volume 1

Andrew Jamieson - Mechanics, Applied - 1903 - 584 pages
...curves separately, as follows : — LECTURE XI11. DEFINITION.— A Hypocycloid is a curve traced out by a point on the circumference of a circle which rolls on the Concave arc of another circle. The forms of these curves will be understood from the accompanying...
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Cyclopedia of Drawing: Mechanical, architectural, pen and ink rendering ...

Drawing - 1906 - 424 pages
...employed in drawing gear teeth are the cycloidal and involute. Cycloid. The cycloid is a curve generated by a point on the circumference of a circle which rolls on a straight line tangent to the circle. The rolling circle is called the describing or generating circle and the point, the describing or generating...
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