C 58 ] 
Alfo, by the Theorem, v % — V 2 X 
R -L~L 
R 
and 
therefore v 2 being now equal to o, R 2 =/% and. 
Fig. 6. 1 becomes the Radius of the Circle ; and /being 
iikewife equal to the right Sine of the Arch G F, 
that Arch becomes a Quadrant, and is equal to 
2 / X m 
4 
l m 
. Therefore t 
x 2 ^ m 
s/ A 4X2 a 
, or t 
l" X 
4 
But / being equal to R 
therefore t = 1 n x 
/ z M L. a l 
rrt j M L 
2" * z~P~A 
Coroll. 
n X 
.2ML 
4v/^ x \ ' P ’ 
m Ml 
2 r 2 
or, J = 1 
11. In the fame Cafe, the Time of 
bending the Spring is proportional to 
©r to V~j~ * anc * if ~~ be given, t will be 
a s </ M; and, if both h . , and alfo M, be given, t 
will always be the fame, whatever be the original 
Velocity, or thro 4 5 whatever Space the Spring be 
bent. 
Coroll. 12. If the Motion of the Body ceafe, when 
the Spring is bent thro 5 any Space /, the Product of 
the initial Velocity, and the Time of bending the 
Spring, or V t, is equal to 1" x ^—-5 and is pro- 
portiorial to /, the Space thro 5 which the Spring is 
bent. 
For 
4. 
