...considered: a solid of revolution is to be formed on a given base with a given volume so as to experience a minimum resistance when it moves through a fluid in the direction of its axis. See Philosophical Magazine for November, 1867. I borrow little more than the enunciation...

...solution for thé brachistochrone when angular points are allowed ? 2. To find thé form of a solid which experiences a minimum resistance when it moves...a fluid in the direction of the axis of revolution (Todhunter, Researches p. 167). Consideration of the case in which there are too many boundary conditions....

...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,...

...X = lim /~1 /¿ x(s) ds = - Y = lim Г1 /f, y(s) ds = \ - • 1.754 The Newton problem. In seeking the form of a solid of revolution which experiences...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 the first integral of...

...stationary solution for the brachistochrone when angular points are allowed ? 2. To find the iorm of a solid which experiences a minimum resistance when it moves...a fluid in the direction of the axis of revolution (Todhunter, Researches p. 167). Consideration of the case in which there are too many boundary conditions....

...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...a fluid in the direction of the axis of revolution (Todhunter, Researches p. 167). Consideration of the case in which there are too many boundary conditions....