 | Sir Isaac Newton - 1863 - 316 pages
...and n = -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 - 1863 - 312 pages
...and n = -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... | |
 | Nicholas Procter Burgh - 1869 - 418 pages
...PADDLE-WHEEL.* BY MR. CHARLES BARCLAY, OF THE FIRM OF MESSRS. JAMES WATT AND Co. annexed diagram, E, shows the curve traced out by a point on the circumference of A a circle revolving on a plane. The point leaves the plane at A and reaches it again at B. AB is equal... | |
 | George Farrer Rodwell - 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... | |
 | 1875 - 526 pages
...the two circles being m - . /-„ г contact. - . /-„ду г For this the Author substitutes : — a point on the circumference of a circle which rolls without sliding on a fixed circle m the same plane, the rolling circle touching the { °£^ j of the ßxed circle. That the latter is... | |
 | Richard Anthony Proctor - 1878 - 308 pages
...cycloid, and will be so employed througlwut this work. DEFINITIONS. The right cycloid is the curve traced by a point on the circumference of a circle which rolls without sliding upon a fixed straight line in the same plane. The rolling circle is called the generating circle ;... | |
 | Richard Anthony Proctor - 1878 - 298 pages
...cycloid, and will be so employed throughout this work. DEFINITIONS. The right cycloid is the curve traced by a point on the circumference of a circle which rolls without sliding upon a fixed straight line in the same plane. The rolling circle is called the generating circle; the... | |
 | Longmans, Green and co - 1880 - 382 pages
...former treatment of these curves has been removed. The definitions hitherto used run as follows : — a point on the circumference of a circle which rolls Without sliding on a fixed circle in the same plane, the two circles being in \ •!*-_„_/ г contact. For this the Author substitutes... | |
 | Henry Percy Smith - 1883 - 542 pages
...used in 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...the circles are in interior contact, the curve is a Hypocycloid. Epideictic. [Gr. tViSmtiWi. 1 (/,'•:•./.) Pertaining to public exhibition or showing... | |
 | Andrew Jamieson - 1895 - 446 pages
...circle. We may define these curves separately, as follows : — DEFINITION. — An Epicycloid is a curve 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 by a point... | |
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Cycloid is traced by a point on the circumference of a circle which rolls without slipping along a straight line. 
