 | William Smyth - Calculus - 1859 - 244 pages
...— y*)* required the length of the curve. Ans. s = a (log y — log a). Ex. 6. The Hypocycloid is a curve generated by a point in the circumference of a circle which rolls upon the exterior of the circumference of another circle. Let the equation to one of these curves be... | |
 | Charles Beard - France - 1861 - 556 pages
...appointed time no correct answer was sent in, Pascal engaged to publish his own solutions. The Cycloid is the curve generated by a point in the circumference of a circle, which makes a single complete revolution along a horizontal base. The learned historian of the mathematical... | |
 | Charles Beard - France - 1861 - 552 pages
...appointed time no correct answer was sent in, Pascal engaged to publish his own solutions. The Cycloid is the curve generated by a point in the circumference of a circle, which makes a single complete revolution along a horizontal base. The learned historian of the mathematical... | |
 | William Garnett - 1875 - 332 pages
...in the following articles are due to Mr WH Besant, of St John's College. THE CYCLOID. DBF. A cycloid is the curve generated by a point in the circumference of a circle, while the circle rolls (without slipping') along a straight line. • Suppose PQK to be the circle,... | |
 | Ward, Lock and co, ltd - 1884 - 570 pages
...curve will be drawn. The Curve known as the Cycloid. — Method of Describing it. The cycloid is a curve generated by a point in the circumference of a circle which rolls along a straight line. The head of a nail, for example, projecting from the tire of a carriage wheel... | |
 | Albert William Smith - Machine design - 1894 - 308 pages
...pitch line of the rack. The curves of the rack teeth, like those of wheels of finite radius, may be generated by a point in the circumference of a circle which rolls on the pitch circle. Since, however, the pitch circle is now a straight line, the tooth curves will... | |
 | Gardner Chace Anthony - Gearing - 1897 - 158 pages
...to an understanding of their application in gearing. 5. Cycloid. PLATE 1, Fig. 1. The cycloid is a curve generated by a point in the circumference of a circle which rolls upon its tangent. The circle is called the describing, or generating circle, and the point is known... | |
 | Frederick Newton Willson - Geometry, Descriptive - 1898 - 322 pages
...in his valuable Geometry of Cycloids: — f epicycloid •) "The •< }• is the curve traced out by a point in the circumference of a circle which rolls without sliding ( hypocycloid j ( external ) on a fixed c,rcle 1n the same plane, the two c,rcles be,ng in... | |
 | William Garnett - Dynamics - 1889 - 396 pages
...given in the following articles are due to Dr. "WH Besant, of St. John's College. DBF. A cycloid in the curve generated by a point in the circumference of a circle, while the circle rolls (withmtt slipping) along a straight line. Suppose FQK to be the circle, Q the... | |
 | William Shaffer Hall - Geometry, Descriptive - 1902 - 160 pages
...the lower one more quickly along the cycloid than along any other curve. 25. An epicycloid is a plane curve generated by a point in the circumference of a circle which rolls upon another circle with which it is tangent externally. PROB. 100. To construct an epicycloid and... | |
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An epicycloid is a plane curve generated by a point in the circumference of a circle which rolls upon another circle with which it is tangent externally. 
