 | George Salmon - Conic sections - 1852 - 329 pages
...transcendental curves, both for historical interest and for the variety of its physical applications. This curve is generated by the motion of a point on the circumference of a circle which rolls along a right line. Let A be the point where the motion commences; then, in any position of the generating... | |
 | George Salmon - Conic sections - 1852 - 338 pages
...transcendental curves, both for historical interest and for the variety of its physical applications. This curve is generated by the motion of a point on the circumference of a circle which rolls along a right line. Let A be the point where the motion commences ; then, in any position of the generating... | |
 | Edward Henry Courtenay - Calculus - 1855 - 526 pages
...3y2 P 9y* 3y2 (9y< Ca'y When y = 0, r = ao , and when y = ± oo , r = oo . 5. The cycloid, or curve generated by the motion of a point on the circumference of a circle, while the circle rolls on a straight line. Let the radius of the generating circle =: a. Place the... | |
 | Edward Henry Courtenay - Mathematics - 1856 - 524 pages
...parabola y2 = a?x. [l+£ 6a*y When y = 0, r = ao , and when y = ± oo , r = « . 5. The cycloid, or curve generated by the motion of -a point on the circumference of a circle, while the circle rolls on a straight line. Let the radius of the generating circle = a. Place the origin... | |
 | Edward Henry Courtenay - Calculus - 1857 - 522 pages
...— ~ Q,,5* V y' + a»)* When y = 0, r = x , and when y = ± oo , r — oo . 5. The cycloid, or curve generated by the motion of a point on the circumference of a circle, while the circle rolls on a straight line. Let the radius of the generating circle = a. Place the origin... | |
 | Charles F. Jackson - Mechanical drawing - 1896 - 112 pages
...below i 3, and on the opposite side through i7, i8, and 2. - 39-— A cycloid is a curve generated by a point on the circumference of a circle which rolls upon a straight line. Let 9 4 be the diameter of the rolling circle, and o", i", 2", 3", 4", equidistant points,... | |
 | Science - 1901 - 678 pages
...outlines made up of curves called epicycloidal and hypocycloidal curves. These curves are developed by the motion of a point on the circumference of a circle that is rolled on another circle. When the rolling circle ia on the outside of the other, the curve... | |
 | John Alexander Low Waddell - Bridges - 1916 - 1140 pages
...convex curve in the vertical outline of a pilaster or of the shaft of a column. Epicycloid. — A curve generated by the motion of a point on the circumference of a circle which rolls on the convex side of a fixed circle. Epicycloidal Tooth. — See "Tooth." Equalizer. — An adjuster;... | |
 | Earle Buckingham - Gearing - 1928 - 474 pages
...analysis of these cycloidal forms seems, therefore, to be in order. THE CYCLOID The path described by a point on the circumference of a circle which rolls upon a straight line is called a cycloid. When the point where the curve meets the straight line is the origin,... | |
 | United States. Patent Office - Copyright - 1933 - 632 pages
...full mesh. At this point it may not be out of place to observe that an epicycloidal curve is a curve generated by the motion of a point on the circumference of a circle which rolls upon the convex side of a fixed circle, and a hypocycloidal curve is a curve described by a point on the... | |
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A cycloid is the curve generated by the motion of a point on the circumference of a circle rolled in a plane along a straight line. If the circle is rolled on the outside of another circle, the curve generated is called an "epicycloid"; if rolled on the... 
