[ 63 ] 
Coroll. 2.5. If the Motion of the Body ceafe, 
when the Spring is wholly clofed, the Produd of 
the initial Velocity, and the Time fbent in doling 
the Spring, or V is equal to 1" x ' ■ j and is 
proportional to A, the Length of the Spring. 
For, by Cotoll. 22. V= C P ^- A ; and, by 
Coroll. 10. t =■ 1" X — y —l —* • Therefore, 
Vt = i" X ; and i", m and — , being given 
Quantities, P 7 is as L. 
Coroll. 26. In the fame Cafe, the initial Quantity 
of Motion, or M V \ is equal to C * 
For, by Coroll. 23. 
Coroll. 2 7. In the fame Cafe, MV is proportional 
to V T LM, or to T t : And, if P Z, be given, 
either in the fame, or different Springs, M V is as 
✓ M. 
This appears, partly, from the preceding Corollary, 
where is a given Quantity ; and, confequently, 
MV is as -/ P LM ; and P L being given, M V 
is as </ M: And, partly, from Coroll. n. 5 where t 
is as V' , and, confequently, P t is as V P L M. 
P 
Coroll 28. In the fame Cafe, if — be given, either 
in the fame, or in different Springs, the initial Quan- 
tity of Motion is as the Length of the Spring into 
the Time of bending it. 
For, by Coroll. 2 7. M V is as P t $ and, if IP be 
as L 7 M V is as L t, 
Coroll 
