C 57 1 
This is evident from Coroll. S • and 6 . 5 forafmuch 
as / is now equal to L. 
Corollaries of more p articular U fe in Cafe 2, ; wherein 
the Motion of the Body ceafes before the Spring is 
wholly clofed. 
Coroll. 8. If the Motion of the Body ceafewhen 
the Spring is bent thro' any Space /, the initial Ye- 
P l 
locity Vis equal to C l -/• " . » or to CV-— - . 
J * 2M L A 2 MA 
And here, the Motion of the Body ceafing, v 2 = o- 
Coroll. 10. If the Motion of the Body ceafe, 
when the Spring is bent thro’ any Space, /, the Time, 
t y of bending it, is equal to 1" of Time, multiplied 
h y t SrrA’ orto 1 * t~ Vgyy? where m 1S tQ 
I, as the Circumference of a Circle to the Dia- 
meter. 
For, by the Theorem, * = r* — ; and, by Ga* 
2 a J 
Class II. 
For, by Coroll. 
2 _ c 2 pi 2 c 2 p i 
“ 2 M LA 2 M A 
Therefore 
^2 ML. A 
f.r 
Therefore t = — x 
v' A 
GF . 
2 / * ) 
H 
Alio 
