766 
KANSAS CITY REVIEW OF SCIENCE. 
rotation will equal gravity. Therefore, a stone on the equator of the sun will not 
loose its weight until the revolution of the sun reaches an equatorial velocity of 
270.79 miles per second, a velocity 224 times more rapid than it has. Whence it 
appears, — that a mass reaching the sun from a fall through a distance equal to 
its radius acquires velocity equal to a velocity of rotation sufficient to evolve 
centrifugal tendency equal and opposite to the sun's attraction. But 1.414213-^2 
=.7o7io65XG^27o. 79 miles ; therefore the velocity generating power of solar 
gravity exerted within a distance from its surface equal to its radius is about 70 
per cent of the entire amount exerted throughout infinite distance. 
Having velocity of impact from infinite space and from one radius of the 
sun in distance, let us learn terminal motions from other finite terms of solar 
radii. 
Here is a table of velocities generated by falling bodies at instant of collision 
with the sun from several distances all computed from above formula which we 
repeat to make famihar. For 2r, we find — square root of twice 2 less i-r-by 
twice two=square root of 3-^-4 ; for 3r, square root of twice 3 less i-4-by twice 3 
==square root of 5-7-6. and so on. 
Column I gives distances from the sun's center, II the squares of velocities, 
III the square roots of the numbers in II which roots are the velocities of impact 
expressed decimally, and require to be multiplied by G to find the figures in IV, 
which are real velocities in feet per second : 
I. 
II. 
III. 
IV. 
Distances 
from the 
Suu. 
Squares of 
Velocities 
of Impact. 
Square roots of 
II or velocities 
Decimally. 
Final Ve- 
locities at 
Collision. 
r 
5 
7071065 
XG = 
1,429,776. 
2r 
75 
866 
XG=: 
1,751,039- 
3r 
833 
9128 
XG = 
1,845,689. 
4r 
875 
9358 
XG = 
1,892,195. 
51^ 
9 
95 
XG = 
1,920,908. 
I or 
95 
9746 
XG = 
1,970,649. 
I cor 
995 
•997 
XG = 
2,015,942. 
2oor 
9975 
99875 
XG = 
2,019,481. 
2i4r 
997668 
.9988325 
XG = 
2,019,647. 
i,ooor 
9995 
99975 
XG = 
2,021,502. 
2,ooor 
99975 
99987499 
XG = 
2,021,755. 
6,44or 
9999146 
99995724 
XG- 
2,021,921. 
io,ooor 
99995 
99997499 
XG = 
2,021,957. 
ioo,ooor 
999995 
999997499 
XG = 
2,022,003. 
T,ooo,ooor 
•999995 
•9999997499 
XG = 
2,022,007. 
"0,000, ooor 
9999995 
99999997499 
XG = 
2,022,008. 
2o,ooo,ooor 
999999975 
•999999997499XG = 
2,022,008. 
This table demonstrates vividly the law that gravity varies as the inverse 
square of distances ; and that velocities are as the square roots of spaces trav- 
