 | George Salmon - Conic sections - 1852 - 329 pages
...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... | |
 | George Salmon - Conic sections - 1852 - 338 pages
...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... | |
 | Edward Henry Courtenay - Calculus - 1855 - 526 pages
...=; a2*. y * ^ = _!?L*.4 = 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...Place the origin at V, the vertex of the cycloid. Put VD — x, DP — y, the point P being that which describes the curve APVJ3, while the circle rolls... | |
 | Edward Henry Courtenay - Calculus - 1857 - 522 pages
...3u2"i -P ~ ~ oTl :i,/2 — ~ 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...Place the origin at V, the vertex of the cycloid. Put VD =: x, DP = y, the point P being that which deseribes the curve AP FT?, while the circle rolls... | |
 | Edward Henry Courtenay - Calculus - 1860 - 516 pages
...diilus. 号 ( 9y4 十" 4 ) 6"4y 45 ㏄Ⅴ 29 / = ０ ，グニの，ゐ℡ dWhen ツ=士の)グニの。 5. The cycloid, or curve generated by the motion of...circle rolls on a straight line. Let the radius of the generat ing circle @ a. Place the origin at F, the vertex of the cycloid. Put VD = a?, DP = y, the... | |
 | 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... | |
 | William Franklin Willard - Mechanical drawing - 1910 - 156 pages
...facing stones radiate from their respective centers. Fig. 42. Exercise 43. — Cycloid. Fig. 43. A curve generated by the motion of a point on the circumference of a circle which rolls on a straight line is called a cycloid. The figure clearly illustrates the construction.... | |
 | John Alexander Low Waddell - Bridges - 1916 - 1140 pages
...slight 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. —... | |
 | United States. Patent Office - Copyright - 1933 - 632 pages
...line at 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... | |
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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... 