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
nd, therefore, the time down it will be greaterthan the time down PB, which is therefore the line of quickestdescent to the circumference of C. 281. Prop. To find the straight line of quickest descent froma given point to a given inclined plane. Let A be the given point, AG a verticalline passing… … 172 DYNAMICS. =ECA, the triangle EAC is isosceles. With E as a center,and EA or EC as a radius, describe the circle ACD, to whichBCG will be a tangent. Now the time down AC will be equal to the time down AD,and to the time down every other chord drawn from A. Butany other chord of the circle must…
Mechanics, Analytic
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