and, by 
C 59 ] 
For, by Coroll s. V~C l 
Coroll. 9.t = i" x ~ «/- "". ? therefore, FT = 
2 V 2 P A 
/j tn C l M L P 
X y/ 
, , VI C l , . /; 
i" x — r 5 and, as i , m, C 
4 A v M L P ^A 
and A , are given Quantities, Vt is as l. 
Hence, any Two of the Three Quantities, V> t f 
and/, being given, the other is readily determined. 
Coroll. 13. In the fame Cafe, the initial Quantity 
of Motion, or M V, is equal to Cl V ~[Tk' > 01 to 
cv f,M 
2 A 
For, by Coroll. 8. V—C l y' 
2 ML. A 
-CV 
pi 9 
2MA3 
wherefore MV— Cl vV, = c A-~. 
r 2 L.A T 2 A 
Coroll 14. In the fame Cafe, MV is proportional 
to l V F —[-> or to V p i M y or to , or to p t : 
p 
And, if-j- be given, MVis as / / M, or as//. 
Q 
For, in the preceding Coroll is a given Quan« 
tity 3 and, by Coroll 1 1. / is as V 
*■ P 
Coroll 1 5- If the Quantity of Motion MV bend 
a Spring of the Strength SP, and Length A, thro* 
the Space /, and be wholly confumed thereby, no 
different Quantity of Motion equal to the former 
y > * 
as n M x «— , will bend the fame Spring thro* the 
fame Space, and be wholly confumed thereby. 
H 3 ' For, 
