Elementary Illustrations of the Celestial Mechanics of Laplace

absciss action becomes called centre of gravity chord circle coefficients consequently considered coordinates COROLLARY cosine curvature curve cycloid DEFINITION density determined difference direction distance dr² dt dt dx dy dy dz equal equation equilibrium evanescent expressed finite fluent fluid fluxion forces acting given point height Hence increments inversely LEMMA magnitude manner motion moveable multiplied obtain ordinate parallel parallelepiped parallelogram particles pendulum perpendicular plane principal axes proportional proposition radius radius of curvature ratio respect right angles right line rotation rotatory inertia rotatory pressures SCHOLIUM sides similar similar triangles sin sin sin sine solid space described square straight line substituting supposed surface system of bodies tangent THEOREM tion triangles vanish velocity vertical vibration whence whole Ση бу