Mathematical And Physical Papers

Cover Mathematical And Physical Papers
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Dr Young's formula is based on the principle of taking into account the attraction of the table-land existing between the station and the level of the sea, in reducing the observation to the sea level. On account of this attraction, the multiplier 2/i/a which gives the correction for elevation alone must be reduced in the ratio of 1 to l-Scrjip, or 1 to '66 nearly, if (t = 2J, /) = 5.V. Mr Airy, observing that the value cr = 2J is a Uttlc too small, and p = 5i a little too great, has emijloycd ...the factor -C, instead of -66.
AT THE SURFACE OF THE EARTH. 151 17. Consider first the value of G. We have by the preceding formula, and the first of equations (27), G = xa [g,) + Gk -00017 m Qi).
According to Professor Eigaud's determination, the quantity of land on the surface of the earth is to that of water as 100 to 276*.
If we suppose the mean elevation of the land ith of a mile, and the mean depth of the sea 3^ miles, we shall have ., f x3-|x276 --ixl00 m («) = - gyg ° = - 1-49 nearly ; so that the value of G determined by g^ would be too great by about ■000253 of the whole.


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