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angular velocity approximately assumed attracted particle axes axis Boscovich Bouguer Cassini Celeste centre centrifugal force Chapter Clairaut Clairaut's theorem coefficients Condamine considered constant contains corresponding curve Daniel Bernoulli degree demonstration denote determine diameter distance distant body Earth ellipsoid of revolution ellipticity entitled equation equatorial error Essay expression external particle Figure formula Frisi function given gives gravity Hence homogeneous Huygens hypothesis integral investigation Lagrange Laplace Laplace's Lapland latitude law of attraction Legendre Legendre's length Livre Maclaurin Maupertuis measured memoir occupies pages meridian method nearly spherical Newton notation numerical oblatum oblongum observations obtained Opuscules order of approximation Paris pendulum Peru Philosophical Transactions plane polar pole problem proposition published radius vector ratio relative equilibrium remarks respect result rotation shell shews Simpson solid solid of revolution sphere spheroid suppose surface Terre theorem theory tion toises treatise varies volume zero