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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
Strana 448 - A Dictionary of Science, Literature, and Art : Comprising the History, Description, and Scientific Principles of every Branch of Human Knowledge ; with the Derivation and Definition of all the Terms in General Use.
Strana 448 - Bayldon's Art of Valuing Rents and Tillages, and Tenant's Right of Entering and Quitting Farms, explained by several Specimens of Valuations ; with Remarks on the Cultivation pursued on Soils in different Situations. Adapted to the Use of Landlords, Land-Agents, Appraisers, Farmers, and Tenants. New Edition ; corrected and revised by JOHN DONALDSON.
Strana 37 - ... the squares of the periodic times are as the cubes of the distances from the common centre, the centripetal forces will be inversely as the squares of the distances.