An elementary treatise on mechanics, embracing the theory of statics and dynamics, and its applications to solids and fluids (1849)
Smith, Augustus William, 1802-1866 · New York, Harper · leaf 195
_i f=- CONSTRAINED MOTION. 171 or /2.BA which, by (56), equals the time down the diameter.In the same manner, CA from which we obtain, as before, -4 2.BA … 280. Prop. To find the straight line of quickest descent froma given point within a vertical circle to its circumference. Let P be the given point. Draw thevertical radius CA, join AP and produceit to meet the circumference at B; PBwill be the line required. Join BC and draw POD parallel toAC.…
Mechanics, Analytic
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