Mécanique Céleste: 1st book. On the general laws of equilibrium and motion. 2d book. On the law of universal gravitation, and the motions of the centres of gravity of the heavenly bodies
Hillard, Gray, Little, and Wilkins, 1829
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action angle angular velocity arbitrary constant quantities arch attraction axis of rotation becomes centre of gravity centrifugal force changing co-ordinates conic sections consequently corresponding cosines cycloid denote differential equations direction parallel distance divided dt dt earth ellipsis equal equilibrium evident exact differential fluid forces acting formula function gives hence infinitely small invariable plane living force manner mass means move multiplied neglecting observed obtain ordinate origin parallelopiped particle pendulum perpendicular plane preceding equation preceding value pressure principal axes principle projection rectangular reduced represented resolved respectively right line rotatory motion second member spherical square stratum Substituting the values suppose surface system of bodies taking the differential tang tautochronous curve three equations variable quantities velocity vertical