Analytical View of Sir Isaac Newton's Principia

acting action angle applied attraction axis becomes body body moves Book calculus called central centre centripetal force circle conic sections consequently consider constant curve demonstration density described determine diameter differential direction discoveries distance disturbing earth effect ellipse equal equation expression fall fluid focus follows former given gives gravity greater Hence important increase infinitely integral inversely latter length less manner mass mean method moon motion move nature nearly Newton observed obtain orbit parallel particle pendulum periodic perpendicular planets position Principia principles problem proportion proposition quantity radius ratio reasoning rectangle relation remarkable resistance respecting rest revolve round shown shows sides similar Sir Isaac Newton solution space sphere square straight line supposed surface tangent theory third tide tion triangles truth varies vector velocity wave whole