| Sir Isaac Newton - Curves, Plane - 1863 - 316 pages
...= -y nearly ; whence n can be found from X, or X from n. Epicycloid and Hypocycloid. 220. DBF. The curve traced out by a point on the circumference of a circle, which rolls upon that of a fixed circle, is called an Epicycloid if the rolling circle be on the exterior of the... | |
| Isaac Newton, Percival Frost - Celestial mechanics - 1863 - 312 pages
...= -y- nearly ; whence n can be found from X, or X from n. Epicycloid and Hypocycloid. 220. DBF. The curve traced out by a point on the circumference of a circle, which rolls upon that of a fixed circle, is called an Epicycloid if the rolling circle be on the exterior of the... | |
| George Farrer Rodwell - Physical sciences - 1871 - 620 pages
...line, is very 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,... | |
| Henry Percy Smith - English language - 1883 - 542 pages
...various orreries, in the bobbin and fly-frame, etc. Epicycloid. [Epicycle (qv), and Gr. ilSos, form.) The curve traced out by a point on the circumference of a circle which rolls without sliding on a fixed circle with which it is in exterior contact — the two circles being in... | |
| Henry Percy Smith - English language - 1883 - 546 pages
...orreries, in the bobbin and fly-frame, etc. Epicycloid. [Epicycle (c/.v.), and Gr. tlSos, form.} The curve traced out by a point on the circumference of a circle which rolls without sliding on a fixed circle with which it is in exterior contact — the two circles being in... | |
| Sir George Greenhill - Calculus - 1886 - 300 pages
...Archimedes previously noticed (§ 62). 123. Epicycloids and Hypocycloids. These curves are the roulettes of a point on the circumference of a circle which rolls on the outside or inside of a fixed circle (§ 9G). Let 0 denote the centre and a the radius of the fixed... | |
| 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... | |
| Andrew Jamieson - Mechanical engineering - 1895 - 448 pages
...traced out by a point on the circumference of a circle which rolls on the Convex arc of another circle. DEFINITION. — A Hypocycloid is a curve traced out...will be understood from the accompanying figures. Partjcular Cases— I. When the Cycloid is a Straight Line.— Suppose the radius of the generating... | |
| Andrew Jamieson - Mechanical engineering - 1895 - 446 pages
...formed according to them satisfy the above condition for correct working. DEFINITION. — A cycloid is a curve traced out by a point on the circumference of a circle which rolls along a straight line. The form of this curve will be understood from the accompanying figure. The... | |
| Andrew Jamieson - Mechanical engineering - 1896 - 498 pages
...traced out by a point on the circumference of a circle which rolls on the Convex arc of another circle. DEFINITION. — A Hypocycloid is a curve traced out...which rolls on the Concave arc of another circle. Tbe forms of these curves will be understood from the accompanying figures. • Particular Cases —... | |
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