| Thomas Grainger Hall - 1846 - 440 páginas
...sin20) ; .-. r2 = 2a2cos 20, which is the Polar Equation. THE CYCLOID. 155. The Cycloid is described **by a point in the circumference of a circle, which rolls along a** horizontal line. Let BQD be the circle, О the centre ; and when its diameter is perpendicular to the... | |
| 1851
...cylindrical spirals. The cycloid or trochoid belongs to the transcendental curves. This is described **by a point in the circumference of a circle which rolls along a straight line** until it has completed a revolution ; the circle, curve, and line, being supposed to continue in the... | |
| Johann Georg Heck - 1851
...cylindrical spirals. The cycloid or trochoid belongs to the transcendental curves. This is described **by a point in the circumference of a circle which rolls along a straight line** until it has completed a revolution ; the circle, curve, and line, being supposed to continue in the... | |
| Noah Webster - 1857
...xuicXos and ucaf.] A geometrical curve, on which depends the doctrine of pendulums ; a figure described **by a point in the circumference of a circle which rolls along** an extended straight hue till it has completed a revolution. — Brandt. Cf-CLOirrAL, a. Pertaining... | |
| J.G. Heck - 1860
...cylindrical spirals. The cycloid or trochoid belongs to the transcendental curves. This is described **by a point in the circumference of a circle which rolls along a straight line** until it has completed a revolution; the circle, curve, and line, being supposed to continue in the... | |
| Thomas Grainger Hall - 1863
...y=rsin0; Л r4=2«sr8 (cos2 0-sin2 0) ; /. r>=2as cos 20. The Cycloid. 146. The Cycloid is described **by a point in the circumference of a circle, which rolls along a** horizontal line. Let BQD be the circle, 0 the centre ; and when its diameter is perpendicular to the... | |
| William Thomas Brande, George William Cox - 1866
...is called in English ealver-shaptd. Hypocycloid (Gr. !-•'', and KuirAociSif?, circular). The curve **traced by a point in the circumference of a circle which rolls** on the concave side of a fixed circle. When the radius of the rolling circle exceeds that of the fixed... | |
| William Thomas Brande, George William Cox - 1866
...It is called in English ealver-shaped. Hypocyclold (Gr. inr&, and KvK\oei5ijs, circular). The curve **traced by a point in the circumference of a circle which rolls** on the concave side of a fixed circle. When the radius of the rolling circle exceeds that of the fixed... | |
| Edward Olney - 1870 - 152 páginas
...tangent, the aris of both loci being coincident. THE CYCLOID. 92. DEF. — The Cycloid is the locus of **a point in the circumference of a circle which rolls along a** fixed right line. SCH. — The cycloid can be constructed mechanically by rolling a wheel, as HPI,... | |
| 1874
...demonstration of the properties of the cycloid. The cycloid is the curve generated by the motion of **a point in the circumference of a circle which rolls along a** strait line. A prize had for some time been offered for the solution of the problems connected with... | |
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