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" This curve is generated by a point on the circumference of a circle, as the circle rolls along a straight line. "
Differential and Integral Calculus: An Introductory Course for Colleges and ... - Page 130
by Lorrain Sherman Hulburt - 1912 - 481 pages
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A Treatise on the Differential Calculus: With Numerous Examples

Isaac Todhunter - Calculus, Differential - 1860 - 436 pages
...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 which traces...
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A Treatise on the Differential Calculus and the Elements of the Integral ...

Isaac Todhunter - Differential calculus - 1864 - 466 pages
...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 which traces...
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A Treatise on the Differential Calculus: With Numerous Examples

Isaac Todhunter - Differential calculus - 1873 - 452 pages
...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...
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Mechanical Graphics: A Second Course in Mechanical Drawing

George Halliday - Mechanical drawing - 1889 - 298 pages
...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 one revolution...
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A Treatise on the Differential Calculus with Numerous Examples

Isaac Todhunter - Differential calculus - 1890 - 440 pages
...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 circumference of...
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Analytic Geometry for Colleges, Universities, and Technical Schools

Edward West Nichols - Geometry, Analytic - 1892 - 300 pages
...through them, we have the locus of the equation. 159. THE CYCLOID. This carve is the locus generated by a point on the circumference of a circle as the circle rolls along a straight line. The Une ŪM is called the BASE of the cycloid ; the point P, the GENERATING POINT ; the circle BPL,...
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First Steps in Geometry

George Albert Wentworth, George Anthony Hill - Geometry - 1901 - 168 pages
...point P describes a curve OPHX, which is called a cycloid. A cycloid is the locus of a point moving on the circumference of a circle as the circle rolls along a straight line. The length of the cycloid from O to A' is exactly four times the diameter of the generating circle....
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Analytic Geometry

Norman Colman Riggs - Geometry, Analytic - 1910 - 328 pages
...plane of a circular hoop not parallel to the plane is an ellipse. 112. The cycloid. The curve traced by a fixed point on the circumference of a circle as the circle rolls in a plane along a fixed straight line is called the cycloid. The circle is called the generator circle...
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Analytic Geometry

Norman Colman Riggs - Geometry, Analytic - 1911 - 330 pages
...plane of a circular hoop not parallel to the plane is an ellipse. 112. The cycloid. The curve traced by a fixed point on the circumference of a circle as the circle rolls in a plane along a fixed straight line is called the cycloid. The circle is called the generator circle...
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The Fundamentals of Mechanical Drawing

Richard Shelton Kirby - Mechanical drawing - 1918 - 108 pages
...the behavior of gases under pressure, as in thermodynamics. 40. Cycloid. This curve is generated by a point on the circumference of a circle, as the circle rolls along a straight line. The generating point meets the straight line at regular intervals, distant from each other by a length...
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