 | 1874 - 240 pages
...illustrations conclusively shew. Illustration (12). To find the form of a solid of revolution which experiences a minimum resistance when it moves through a fluid in the direction of the axis of revolution (Todhunter's Researches, Cap. ix). By taking the axis of y as that of revolution,... | |
 | Isaac Todhunter - 1871 - 296 pages
...IX. SOLIDS OF MINIMUM RESISTANCE. 186. To find the form of a solid of revolution which experiences a minimum resistance when it moves through a fluid in the direction of the axis of revolution. I need scarcely say that the interest of this problem arises from its historical... | |
 | 1895 - 730 pages
...brachistochrone when angular points are allowed ? 2. To find thé form of a solid which experiences a minimum resistance when it moves through a fluid in the direction of the axis of revolution (Todhunter, Researches p. 167). Consideration of the case in which there are... | |
 | American Mathematical Society - 1919 - 530 pages
...of revolution formed by revolving a curve passing through two given points about an axis which shall experience a minimum resistance when it moves through a fluid in the direction of its axis. The solution is the well-known transcendental curve. * Philosophise Xaturalis Principia Mathematica,... | |
 | Piotr Biler, Tadeusz Nadzieja - 1992 - 264 pages
...= \ - • 1.754 The Newton problem. In seeking the form of a solid of revolution which experiences a minimum resistance when it moves through a fluid in the direction of the axis of revolution, one is led to minimize the following integral: fa y(y'^/O + y'2) dx. Snow tnat... | |
 | 1896 - 366 pages
...brachistochrone when angular points are allowed ? 2. To find the form of a solid which experiences a minimum resistance when it moves through a fluid in the direction of the axis of revolution (Todhunter, Researches p. 167). Consideration of the case in which there are... | |
 | 1896 - 342 pages
...brachistochrone when angular points are allowed ? 2. To find the iorm of a solid which experiences a minimum resistance when it moves through a fluid in the direction of the axis of revolution (Todhunter, Researches p. 167). Consideration of the case in which there are... | |
| |
Is there any stationary solution for the brachistochrone when angular points are allowed ? 2. To find the form of a solid which experiences a minimum resistance when it moves through a fluid in the direction of the axis of revolution (Todhunter, Researches... 