 | Homersham Cox - Calculus, Integral - 1852 - 156 pages
...integral between those limits, it will be aur^v found that V = 139. Solids of revolt*tion are those generated by the revolution of a plane figure about a fixed axis. Let the revolution of a curve AB about an axis through A generate the surface of such a solid, and let... | |
 | J. A. Beil - 1855 - 756 pages
...(bounded by equal and regular planes) * Der rf.gelmassige Korper * Corps regulier. The solid of revolution (generated by the revolution of a plane figure about a fixed axis) » Der Drehimgskorper * Corps m. de revolution. 488 Solid — Southeast. Solid, s. (the hard, firm,... | |
 | Edward Henry Courtenay - Calculus - 1855 - 526 pages
...r. . • . 8 A — 8r2, the entire surface of the groin. CHAPTER IV. CDBAT0RE OF VOLUMES. 111. Prop To obtain a general formula for the volume generated...axis of revolution, ABCF the generating area. Put and let y — Fx be the equation of the of 00, bounding curve AS. The volume generated by the revolution... | |
 | Edward Henry Courtenay - Mathematics - 1856 - 524 pages
...r. . • . 8.4 = 8r2, the entire surface of th« groin. . CHAPTER IV. CUBATUBE OF VOLUMES. 111. Prop To obtain a general formula for the volume generated...figure about a fixed axis. Let OX, the axis of x, be tho axis of revolution, ABCF the generating area. Put OD=x, £P=y, and let y = Fx be the equation of... | |
 | Edward Henry Courtenay - Calculus - 1868 - 530 pages
...— 8r2, the entire surface of the groin. CHAPTER IV. t CUBATURE OF VOLUMES. 111. Prop To obtain ,1 general formula for the volume generated by the revolution...Let OX, the axis of x, be the axis of revolution, ADCF the generating area. Put 0£>=x, DP=y, DD^h, A-Pa=yi, and let y = Fx be the equation of the DD,... | |
 | William Kent - Engineering - 1895 - 1234 pages
...of the circumscribing cylinder. < ubatarc of volume« of revelation. —A volume of revolution is a volume generated by the revolution of a plane figure about a fixed line c-illed the axis. 1Г we denote the volume by V, dV = try' dx. Tneareaof a circle described by... | |
 | William Kent - Engineering - 1907 - 1206 pages
...surface of the circumscribing cylinder. Cubature of volumes of revolution.— A volume of revolution is a volume generated by the revolution of a plane figure about a fixed line called the axis. If we denote the volume by V, dV = Try'' dx. The area of a circle described by... | |
 | William Kent - Mechanical engineering - 1923 - 1450 pages
...surface of the circumscribing cylinder. Cubature of Volumes of Revolution.— A volume of revolution is a volume generated by the revolution of a plane figure about a fixed line called the axis. If V= volume, dV=iry*dx, The area of a circle described by any ordinate у Is... | |
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OF VOLUMES. 111. Prop To obtain a general formula for the volume generated by the revolution of a plane figure about a fixed axis. Let OX, the axis of x, be the axis of revolution, ABCF the generating area. Put and let y — Fx be the equation of the... 