 | Building - 1919 - 496 pages
...LRxRE' = MSxSF' = NTx TG'. ODONTOIDAL CURVES Cycloidal Curves. 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, as shown at the left, Fig. 92. The rolling circle is called the describing or generating circle, the... | |
 | Sir John Ambrose Fleming - Electric discharges - 1919 - 306 pages
...fi=Hi J m These equations show that the path of the ion is a cycloid. A cycloid is the curve described by a point on the circumference of a circle which rolls on a straight line. Let OPQ be a circle (see Fig. 21) rolling on a straight line OA. Let P be any point on the circle,... | |
 | John Adlum Dent, Arthur C. Harper - Machinery - 1921 - 406 pages
...and follows the same law. 171. Generation of Cycloidal Curves. — A cycloid is the curve described by a point on the circumference of a circle which rolls on a straight line, the circle and straight line remaining in the same plane. If the circle be rolled on the outside of... | |
 | Reginald Charles Fawdry - Coordinates - 1921 - 236 pages
...quadratic for r whose roots r,r2 will represent OP and OQ. F1G. 119 The Cycloid. The path of a point fixed on the circumference of a circle which rolls on a straight line is called a cycloid. If P is the position of the point when the circle has turned through an angle... | |
 | William Francis Rigge - Mathematics - 1926 - 230 pages
...(531, 541), PROCTOR gives the definition in this way: "An epicycloid (or hypocycloid) is a curve traced by a point on the circumference of a circle which rolls on a fixed circle so as to touch its outside (or inside)." According to this, no curve can be both an epicycloid... | |
 | Franklin D. Jones - Machinery - 1928 - 1254 pages
...periphery of a circle when the circle rolls along a straight line. A curve known as an epicycloid is formed by a point on the circumference of a circle which rolls on the outside of another circle. A hypocycloid is produced by a point on the circumference of a circle... | |
 | Daniel Pedoe - Mathematics - 1983 - 338 pages
...centre of the sphere, the axis of the cone. Therefore, unless the *Some epicycloids, curves traced out by a point on the circumference of a circle which rolls on the outside of a fixed circle, are shown in Figure 101 and Figure 107. These are epicycles with, respectively,... | |
 | Jan Gullberg - Mathematics - 1997 - 1148 pages
...= b), two arcs when a = 26, and n arcs when a = nb. Hypocycloids A hypocycloid is a curve generated by a point on the circumference of a circle which rolls on the inside of a fixed circle. Parametric Equations of the Hypocycloid A hypocycloid whose generating... | |
 | Frederick Converse Beach, George Edwin Rines - Encyclopedias and dictionaries - 1911 - 944 pages
...roulette is traced by a point attached to a curve, which itself rolls without sliding on a fixed curve. A point on the circumference of a circle which rolls on a straight line traces a cycloid; if the circle rolls in or on a circle the roulette is an epicycloid or hypocycloid.... | |
 | Edward Harrington Lockwood - Curves - 1967 - 290 pages
...rolling curve is a line-roulette. Fig. 92 Thus the cycloid is a point-roulette, since it is the locus of a point on the circumference of a circle which rolls on a fixed straight line; and it has been shown, on p. 86, that it may also be described as a line-roulette.... | |
| |
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. 
