A treatise on the dynamics of a particle, by P.G. Tait and W.J. Steele |
Common terms and phrases
acceleration apse apse line apsidal axis brachistochrone center of attraction central attraction central orbit chain circle circular co-ordinates conic sections constant angular velocity cos² Crown 8vo curvature curve cycloid d²x described determine the motion direction of motion distance ds ds dt dt dt dt² dx dt Edition ellipse equal equations of motion excentricity fcap fixed point focus free path gravity Hence hodograph horizontal plane hyperbola impressed forces inclined initial instant integral inversely kinetic energy latus rectum length logarithmic spiral lowest point mass medium osculating plane parabola parallel particle moves pendulum perpendicular point of projection position proportional prove radius vector resistance resolved result shew sin² smooth straight line suppose surface tangent tion tube V₁ vertex vertical
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Page 49 - Change of motion is proportional to the impressed force and takes place in the direction of the straight line in which the force acts.