1881. J -^tJO [Chase. 



uient ;* for a mathematical deduction of the ratio (1.4333) between the 

 mean vis viva of gaseous volume (heat under constant volume) and the vis 

 viva of uniform velocitj'" {heat tinder constant pressure) ;t for finding an 

 identity of law in luminous and planetary nodes ;:]: for a cosmical determi- 

 nation of Joule's equivalent ;§ and for connecting the molecular velocities 

 of gaseous particles with the velocities of terrestrial rotation and revolu- 

 tion. | 



Although many of the stellar motions indicate the probability of gravita- 

 ting action, in other systems than our own and between different systems, no 

 direct, positive and measurable evidence of such action has yet been found. 

 Gravitating and elastic forces may, however, be numerically compared, 

 through the common equation of wave and orbital velocity, » = |,/3 g?i, in 

 which h represents the height of virtual fall which would give the required 

 yelocity, or ^ the height of a homogeneous atmosphere, or 2 the radius of 

 a circular orbit, or the focal distance in a parabolic orbit. In consequence 

 of the tendency of nodal points, in any vibrating elastic medium, to 

 produce harmonic vibrations and harmonic nodes of various kinds, we 

 may reasonabl^y look for such nodes as results and evidences of intei^tellar 

 action . 



Among the various gravitating, paraboloidal and harmonic wave influ- 

 ences, which have been instrumental in world building, the following seem 

 specially noteworthy : 



a. The principal centre of nucleation in the solar system, which is repre- 

 sented by the Sun. 



8. The principal centre of condensation, which is represented by the 

 Earth ; Mercury's secular perihelion being .3974, T[ and the secular aphelion 

 of Mars being 1.73648, the middle of the dense belt of planets is 1.01694, 

 which is midway between Earth's mean distance and mean aphelion 

 (1.0,3387). 



y. The principal nebular centre of the system, which is represented by 

 .Jupiter's mean aphelion ; Neptune, the aphelion planet, being 30.03386, and 

 Uranus, its corresponding perihelion planet, being 19.183.58, the nebular 

 centre is 5.43514. Jupiteu's mean aphelion is 5.43735. 



d. The linear centre of oscillation of a solar diameter (|), which gives | 

 radius as a directrix of paraboloidal influence, and ^ radius as the abscissa 

 of the paraboloidal vertex. 



£. The ratio (i)^ between the solar central force at the paraboloidal ver- 

 tex and the corresponding force at Sun's equatorial surface. 



t. The ratio of dissociative subsidence f 1 . If we take the radius 



\n -1- 1/ 



of a nebula as a fundamental node, the velocity which would be acquired 



*Ib.xii, 403, seq. 



fib. xiv, 651. 



jib. xvii, 109-12. 



gib. xviii, 20-1. 



II lb. xviii, 21-5. 



fThe values are takeii from Stockwell, f^mit/isonian Conli-ibntions, 2.32. 



