. The London, Edinburgh and Dublin philosophical magazine and journal of science. r being denser than its companion—Mercury being denserthan Venus, Earth than Mars, Jupiter than Saturn, Uranusthan Neptune. This arrangement towards the Sun as a prin-cipal centre appears, however, to be of more recent date thanthe tendency to condensation in the Telluric belt; for Earthis denser than Venus, and the great secular ellipticities of Marsand Mercury suggest the likelihood of a quasi-cometary tendencies would contribute to the chemical groupingof atoms by pairs, which is essential for p
. The London, Edinburgh and Dublin philosophical magazine and journal of science. r being denser than its companion—Mercury being denserthan Venus, Earth than Mars, Jupiter than Saturn, Uranusthan Neptune. This arrangement towards the Sun as a prin-cipal centre appears, however, to be of more recent date thanthe tendency to condensation in the Telluric belt; for Earthis denser than Venus, and the great secular ellipticities of Marsand Mercury suggest the likelihood of a quasi-cometary tendencies would contribute to the chemical groupingof atoms by pairs, which is essential for polarity and for thealready enumerated laws of chemical combination. In the nascent state particles may be regarded either asparabolically perifocal, with the velocity of complete dissocia-tion from a given centre, or as relatively at rest, and ready toobey the slightest impulses of central force, The mean visviva of a system formed by two such particles would bemx (N/2)2 + mx0 = 2??ix 1,* Proc. Soc. Phil. Amer. xiv. p. 622 scqq. Phil Mag. S. 5. Vol. 6. No. 39. Dec. 1878. 2 G. 450 Prof, P. E. Chase on the Nebular Hypothesis. representing a change from parabolic to circular orbits and acondensation of two volumes into one. At the parabolic limit between complete dissociation andincipient aggregation, if thefocal abscissae #0 = V F, istaken as the unit of wave-length, the value of the suc-cessive ordinates, as well asthe velocity communicatedby uniform wave influenceacting through the entirelength of the ordinates, willbe represented by *J kxn ;the resulting vis viva, andthe consequent length ofpath, or major axis, commu-nicable against uniform re-sistance, by 4#„; the succes-sive differences of major axisby 4. Each normal, vnfn+2,equals the next ordinate,in+\fn+i i there are, therefore, triple tendencies, both in theaxis of abscissas and on each branch of the curve, to successivedifferences of 4 in the major axes of aggregation, in conse-quence of the meeting of abscissa], or
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