 | 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... | |
 | 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... | |
 | 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... | |
 | Horace Lamb - Calculus - 1897 - 644 pages
...point of contact of the rolling circle. Cf. Art. 164. • 137. Epicycloids and Hypocycloids. The path traced out by a point on the circumference of a circle which rolls in contact with a fixed circle is called an ' epicycloid ' or a ' hypocycloid ' according as the rolling... | |
 | Frederick Newton Willson - Geometry, Descriptive - 1898 - 322 pages
...Proctor has presented the following unambiguous definition : — f epicycloid ) " An •! >• is the curve traced out by a point on the circumference of a circle which rolls without sliding ( hypocycloid j f outside •) on a fixed circle in the same plane, the rolling circle... | |
 | Raymond Clare Archibald - Roulettes (Geometry) - 1900 - 50 pages
...great variety of curves; the most common definition is as follows: The epicycloid (hypocycloid) is the curve traced out by 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 external (internal)... | |
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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. 
