Intelligence and Miscellaneous Articles. 519 
force (at Sun’s surface) would be &* times as great, or 
4 
prrktu,? iat pv. 
2 Days 
k being the ratio of the Kantian radius to the solar radius. 
The time which would be required to communicate this maximum 
energy is ¢,, the time of virtual projection against uniform resis- 
tance, in the region of greatest solar energy, which is also the time of 
solar half-rotation, as well as the minimum time of synchronous 
elliptic, circular, and radial oscillation in the solar system. 
The ordinary thermal and gravitating units may be deduced 
from the general unit by means of the equations 
2 
M,7o Vo 
U Ph 
Mol tk 
a 
29, 
In the second of these equations T represents the mass of 
water which could be heated one degree by p of oscillating lumi- 
niferous ether, or the number of degrees to which » of water 
could be heated ; g,, gravitating acceleration at EHarth’s equator ; 
h, the linear dimension of the mechanical unit of heat. 
The harmonic values are as follows :— 
m,=329414 m,, 
r, = 198-923 r,, 
9,=27°765 9 
v,=185500 miles per second, 
9,=32°033 feet per second, 
T=10,775,492,000,000° C.—Communicated by the Author, 
having been read before the American Philosophical Socvety, April 17, 
1885. 
ee 
THE CHASE-MAXWELL RATIO. BY PLINY EARLE CHASE, LL.D. 
In 1872 (Proc. Amer. Phil. Soc. xu. p. 394) Chase showed 
that the tendency of particles, in exploded gases, toward primary 
and secondary centres of oscillation leads to a permanent vis 
viva of equilibrium which is 3 of the vis viva of explosive projec- 
tion, and that the synchronous action of the Sun and the Earth 
upon the oscillating particles furnishes a ready method for 
estimating the Sun’s mass and distance. He also showed (ibid. 
pp- 403-405) that the successive planetary positions in the solar 
system illustrate the influence of ethereal oscillations of a similar 
character. In 1875 he showed (op. cit. xiv. p. 651) that the 
mean velocity of expanding gaseous pressure is = of the corre- 
sponding constant velocity of revolution; the ratio of wis vwa 
