A Treatise on Dynamics of a Particle: With Numerous Examples

acceleration action angular velocity apse apsidal axes axis brachistochrone center of force central force central orbit chord circle co-ordinates constant cos² curvature curve cycloid d²x determine the motion direction of motion direction of projection ds ds ds dt dt dt dt dy dt² dx dt dx dy dy dz ellipse equal equations of motion fixed point focus force varying given point given velocity gravity Hence hodograph horizontal plane hyperbola inclined initial integral latus rectum law of force logarithmic spiral mass orbit oscillation osculating plane parabola parallel particle is projected particle moves path pendulum perihelion perpendicular point of projection position radius vector resistance resolved result shew sin² square straight line string suppose surface tangent true anomaly varying inversely velo vertex