368 P. E. Chase— Velocity of Primitive Undulation. 
v, wrt v, =2r,n-1 =r,+57640000 
v,, or—! v, =2r,n—' =r,+28055000000 
—er-s; —=2r,n-2 =r,+13654000000000 
V,,, Or? v,,, =2r,n-* =r,+6645600000000000 
The values in the right-hand column are determined by the 
constant ratio, n°=486°7, which is approximately found by 
dividing the known value of v, by the approximately known 
value of v,,, as follows: 
The approximate values of t vary between the estimate of 
Sporer (2127554 sec.), and that of Herschel, Bianchi and Lau- 
gier (2188080 sec.): The respective corresponding values of 
v,, are me and Prien in one second of time. Earth’s mean 
2arr/2 
distance from sun being 214'86r,, we find.» = ———* == 
Lyr.+214'862 
2 
“000887r, per second ; g= oe z— = 000000393r, per 
(lyr. 214-862)2 
second ; ne=v+v,=4717 according to Spérer, 478°3 accord- 
primitive undulation is identical with the velocity of light. 
Then v»=v,n?=-4183r, per second (S.), 42427, (C.), -4295r, (F.) 
‘4302r, (H.), or -4316r, (v 1). 
The value v,,, = 2r, represents the following comparative 
considerations of rectilinear or curvilinear motion. 
. é : : M 
% = linear velocity communicated by virtual fall through re 
be . * . Lif es 
circular velocity acquired by virtual fall through ("2 = clr- 
cum. +47), in the time of traversing 7) by revolution in a 
circular orbit, = parabolic perihelion velocity, or velocity 
of infinite fall, at a distance of 27) from the attracting 
center. 
w=a circular wave of same length as the primitive wave, 
= wave generated by a single centripetal impulse. 
- iz > Primary virtual fall corresponding to a single wave- 
length. 
Then w =42r, +n*=r,+1057700000000000, if n® = 4867. 
“a3 we — other estimated values of ni, the number of wave- 
2 
