 | Harvey Goodwin - Mathematics - 1846 - 500 pages
...solution, it will be necessary to define the cycloid, and to investigate some of its properties. 2. DKF. A cycloid is the curve traced out by a point in the circumference of a circle, which rolls upon a given straight line. Thus, if a circle, of which the radius is OQ, roll on the straight... | |
 | Harvey Goodwin - Mathematics - 1857 - 692 pages
...solution, it will be necessary to define the cycloid, and to investigate some of its properties. 2. DBF. A cycloid is the curve traced out by a point in the circumference of a circle, which rolls upon a given straight line. c Thus, if a circle, of which the radius is OQ, roll on the... | |
 | Isaac Todhunter - Calculus, Differential - 1860 - 436 pages
...arises from negative values of в. 355. TJie Spiral of Archimedes. 356. The Cycloid. The cycloid is traced out by a point in the circumference of a circle as the circle rolls along a straight line. Let Ax be the line along which the circle rolls ; M the fixed point in the circle BMC... | |
 | Isaac Todhunter - Differential calculus - 1864 - 470 pages
...also called the equiangular spiral. 355. The Spiral of Archimedes. 356. The Cycloid. The cycloid is traced out by a point in the circumference of a circle as the circle rolls along a straight line. Let Ax be the line along which the circle rolls ; M the fixed point in the circle BMC... | |
 | Isaac Todhunter - Differential calculus - 1873 - 452 pages
...of в. 355. The Spiral of Archimedes. r = 00. 356. The Cycloid. The cycloid is traced out by a fixed point in the circumference of a circle as the circle rolls along a straight Une. Let Ax be the straight line along which the circle rolls ; M the fixed point in the circumference... | |
 | Edward John Gross - Dynamics - 1876 - 278 pages
...C be any point in the rod. Join CO, then C is instantaneously moving perpendicular to CO. 78. DEF. A cycloid is the curve traced out by a point in the circumference of a circle, which rolls on a straight line. Thus let P be the point, and aPb one of the positions of the circle... | |
 | William Lees - Heat - 1877 - 318 pages
...case, the rays being parallel, the curve formed is a determinate one. It is known as the epicycloid; it is the curve traced out by a point in the circumference of one circle as it rolls upon another. The same curve is obtained should the rays diverge from points... | |
 | George Halliday - Mechanical drawing - 1889 - 298 pages
...the same way. CHAPTER XXIV. THE CYCLOID AND ARCHIMEDEAN SPIRAL. 106. THE cycloid is a curve traced by a point in the circumference of a circle as the circle rolls along a straight line. Fig. no 0JZ34567 :L If the circle roll along the straight line until it has completed... | |
 | Isaac Todhunter - Differential calculus - 1890 - 440 pages
...values of 6. 355. The Spiral of Archimedes. 350. The Cycloid. The cycloid is traced out by a fixed point in the circumference of a circle as the circle rolls along a straight line. Let Ax be the straight line along which the circle rolls ; M the fixed point in the... | |
 | Sir George Greenhill - Calculus - 1891 - 494 pages
...parameter в for expressing the coordinates x and т/ of a point on a curve, consider the cycloid, the curve traced out by a point in the circumference of a circle which is rolling on a plane ; a curve often seen described by a piece of paper sticking to the rim... | |
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The Cycloid. The cycloid is traced out by a point in the circumference of a circle as the circle rolls along a straight line. 
