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Philosophical transactions, Vol. L. Part I. For the year 1757

Note 207 — LIII. The Resolution of a General Proposition for Determining the horary Alteration of the Position of the Terrestrial Equator, from the Attraction of the Sun and Moon: With some Remarks on the Solutions given by other Authors to that difficult and important Problem. By Mr. Tho. Simpson, F.R.S.

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No error arises from considering the triangles E A e and AEH, as being formed on the surface of a sphere, tho' the earth itself is not accurately such. The angle (E A a) representing the effect of the solar force, is properly referred to the surface of a sphere; therefore (after the measure thereof is truly determined) the figure AP ap is itself taken as a sphere, in order to avoid the trouble of introducing a new scheme.

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