 ... isochronous. To obtain strictly isochronous vibrations we must substitute for the circular arc a curve which possesses the property of having an inclination whose sine is simply proportional to distance measured along the curve from the lowest point....  Mechanics, hydrostatics and pneumatics - Page 67by Augustin Privat-Deschanel - 1884Full view - About this book
 | Thomas Grainger Hall - Calculus - 1846 - 480 pages
...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... | |
 | Johann Georg Heck - Encyclopedias and dictionaries - 1851 - 712 pages
...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... | |
 | 1851 - 716 pages
...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 - English language - 1857 - 1310 pages
...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... | |
 | Johann Georg Heck - Encyclopedias and dictionaries - 1860 - 332 pages
...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 - 408 pages
...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 - Science - 1866 - 972 pages
...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 - Encyclopedias and dictionaries - 1866 - 992 pages
...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 - Geometry, Analytic - 1870 - 100 pages
...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,... | |
 | Augustin Privat-Deschanel - Physics - 1873 - 294 pages
...pendulum), the acceleration at any point is g sin — . This is sensibly proportional to x so long as x is a small fraction of r ; but in general it is not...small heavy body by a thread between two cheeks (Fig. 39B), on which the thread winds as the ball swings **• Fig. 39s.— Cycloidal Pendulum. either side.... | |
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