C 6* ] 
will be confumed in bending the Spring thro’ the 
Space /, is as /*. 
Coroll. 21. But the Time, in which the fame Spring 
will be bent thro’ the fame Space, by the Vis viva 
v z 
nn M x — , will be to the Time, in which it is fo 
n 71 
bent by the Vis viva Mx V z y as n to i j n being 
any whole or fra&ional Number. 
For, by Coroll. n. lince is given, the Time is 
as VM. 
Class III. 
Corollaries in Cafe i. wherein the Motion of the 
Body ceafes , at the Infant that the Spring is 
wholly clofed. « 
Coroll. 22. If the Motion of the Body ceafe, 
when the Spring is bent thro’ its whole Length, or 
is wholly clofed, the initial Velocity V is equal to 
cv^ 
y 2 . M A' 
For, by Coroll. 8. V~ C “/ 77735 ; and / being 
now equal to L {Fig. 7.), p becomes equal to B $ 
and therefore C V —7. 
2.M A. 
Coroll. 23. In the fame Cafe, the initial Velocity 
P L 
V is proportional to V — — ^ 
C 
■F° r in the preceding Corollary, is a given 
Quantity. 
Coroll. 24. In the fame Cafe, if B L be given, 
either in the fame, or in different Springs, the initial 
Velocity V'\s reciprocally as V M. 
This is plain from the preceding Corollary. 
1 Coroll. 
