A Treatise on Dynamics of a Particle: With Numerous Examples

acceleration action angle angular velocity apse apsidal axes axis brachistochrone center of force central force central orbit chord circle co-ordinates constant cos² curvature curve cycloid d²x described determine the motion direction of motion direction of projection distance ds ds ds dt dt dt dt dt² dx dt dx dy dy dz ellipse equal equations of motion evidently fixed point focus force varying given point given velocity gravity Hence hodograph horizontal plane hyperbola initial integral latus rectum 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 smooth straight line string suppose surface tangent true anomaly tube vertex