The Elements of Astronomy Designed for the Use of Students in the University

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M. De la Lande makes it 57 X . 5" at the equator, 56'. 53", 2 at the ON PARALLAX.
77 pole, and 57'. L" for the mean radius of the earth, sup- posing the difference of the equatorial and polar diameters to be of the whole. From the formula 30O of Mayer, the equatorial parallax is 57'- ll", 4.
(146. ) To find the mean distance, Cs, of the moon, we have AC, the mean radius (r) of the earth, : Cs, the mean distance (Z)) of the moon from the earth, :: sin. 57'. L" = AsC (145) : radius :: 1 : 6o, 3 ;
... conse- quently Z>~6o, 3r ; but r = 396*4 miles ; hence, Z) = 239029 miles.
(147. ) According to M. De la Lande, the horizontal semidiameter of the moon : it's horizontal parallax for the mean radius (r) of the earth :: 15' : 54'. 57", 4, or very nearly as 3 : 1 1 ; hence, the semidiameter of the moon is TT r = -rrx 3964 = 1081 miles; and as the magnitude of spherical bodies are as the cubes of their radii, we have the magnitudes of the moon and earth as 3 3 : II 3, or as I : 49 nearly.
CHAP. VIL ON REFRACTION.


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