A Philosophical Essay On Probabilities

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I recognized then by means of this inequality that another exists in the lunar movement in longitude which produces the diminution observed by Mayer in the equation of the precession applicable to the moon. The quantity of this diminution and the coefficient of the preceding inequahty in latitude are very appropriate to fix the oblateness of the earth.
Having communicated my researches to M. Burg, who was occupied at that time in perfecting the tables of the moon by the comparison of all the go
...od observa- tions, I requested him to determine with a particular care these two quantities. By a very remarkable agreement the values which he has found give to the earth the same oblateness, -j^-g-, which differs little from the mean derived from the measurements of the degrees of the meridian and the pendulum ; but those regarded PROBABILITIES AND NATURAL PHILOSOPHY. 85 from the point of view of the influence of the errors of the observations and of the perturbing causes in these measurements, did not appear to me exactly determined by these lunar inequalities.

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