By George Howard Darwin
Sir George Darwin (1845-1912) was once the second one son and 5th baby of Charles Darwin. After learning arithmetic at Cambridge he learn for the Bar, yet quickly back to technology and to Cambridge, the place in 1883 he used to be appointed Plumian Professor of Astronomy and Experimental Philosophy. His relations house is now the positioning of Darwin collage. His paintings was once involved essentially with the impact of the solar and moon on tidal forces in the world, and with the theoretical cosmogony which developed from useful remark: he formulated the fission conception of the formation of the moon (that the moon used to be shaped from still-molten subject pulled clear of the Earth by means of sun tides). He additionally constructed a thought of evolution for the Sun-Earth-Moon process in response to mathematical research in geophysical concept. This quantity of his amassed papers covers figures of equilibrium of rotating liquid and geophysical investigations.
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Sir George Darwin (1845-1912) used to be the second one son and 5th baby of Charles Darwin. After learning arithmetic at Cambridge he learn for the Bar, yet quickly again to technology and to Cambridge, the place in 1883 he used to be appointed Plumian Professor of Astronomy and Experimental Philosophy. His relatives house is now the positioning of Darwin collage.
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Additional resources for The Scientific Papers of Sir George Darwin: Figures of Equilibrium of Rotating Liquid and Geophysical Investigations
Iv. How marine and aerial erosion affect the distribution of the excess or deficiency of matter. v. The possibility of wide-spread deformations of the earth, which approximately carry the level surfaces with them. The object of this discussion is to find what areas and amounts of elevation and subsidence on a sealess and rainless globe are equivalent, as far as moving the principal axis, to those which obtain on the earth. " It is probable that during the elevation or subsidence of any large area, the change proceeds at unequal rates in different parts; probably one part falls or rises more quickly than another, and then the latter gains on the former.
150 5 | 15 140 | 150 E. 22 165 S. 18 180 10 165 * 150 5 1 15 125 | 30 18 135 | 120 |120 | 135 150 15 165 w. 10 180 8 165 E. E. E. coast of Australia. It is noteworthy that the former large area consists of sea more than 15,000 feet deep, except in patches round some of the islands, where it appears to be from 10,000 to 15,000 feet deep*. I marked these areas on a globe, and cut out a number of pieces of paper to fit them, and then weighed them. By this method I determined that the former area was "055 of the whole surface of the globe, and the latter was "01; the two together were therefore "065.
Or sin2 6 cos 2i|r = cos2 a That is to say, the outline of the continent is the sphero-conic formed by the intersection with the sphere of the cone, whose Cartesian equation is y2 (1 + cos2 a) + z2 cos2 a = a? sin2 a Reverting to the expressions for P and q, altering the variable of integration, and the limits, so as to exclude the imaginary parts of the integrals, we have as the equation to find a , /cos aV , 1 cos y cos"" ay 7T J o x Vcos x! and P = 4&c4 I cos y V(cos4 y — cos4 a Jo These integrals are reducible to elliptic functions; but in order not to interrupt the argument, I give the reduction in Appendix B.