Journal - Franklin Institute of the State of Pennsylvania (1826)
Franklin Institute, Philadelphia, Franklin Institute (Philadelphia, Pa.) · [Philadelphia : Franklin Institute] · leaf 36
= nx^, on leaving (or passing) the origin O.in being any point in the path of the body, draw the cor-responding ordinate x to determine the point q in this velocity-distance curve, as it may be called. A normal Jan., 1892.] Subnormal in Graphical Dynamics. 25 drawn to the curve at q will intersect… … C Fig. I. ;/ being constant, tJie acceleration is proportional to the subnormalof the velocity-distance curve^ (coordinates being taken asin Fig. 7). Proof.—If in eq. (3) above we substitute the values v = nxand dz> = n dx, we obtain .. dxp = n X^ ds But, drawing through q the tangent line (/T,…
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