C 53 ] 
Scholium I. 
Whereas I have reprefented the Spring as retting 
againft an immoveable Support at L , it will, per- 
haps, be objected, That no Support can be really 
immoveable; fince any Body, how great foever, may 
be moved out of its Place by the lead Force, 
But this Obje&ion may eaftly be removed, by fup- 
pofing the Spring to be continued till it becomes of 
twice the Length C L , and that a fecond Body, 
equal to M, (hikes againft the oppofite End of the 
Spring with the fame Velocity in a contrary Dire- 
ction; in which Cafe the Point L will be perfectly 
immoveable. 
Scholium II. 
Under this Theorem are comprehended the Three 
following Cafes : 
In Cafe i. The Spring is bent thro’ its whole 
Length, or is intirely comprefled and clofed, before 
the moving Force of the Body is confumed, and its 
Motion ceafes. 
In Cafe 2. The moving Force of the Body is con- 
fumed, and its Motion ceafes, before the Spring is 
bent thro’ its whole Length, or wholly clofed. 
In Cafe 3. The moving Force of the Body is con- 
fumed, and its Motion ceafes, at the Inftant that the 
Spring is bent thro’ its whole Length, and is intirely 
clofed. 
For this Reafon, and in order to make the fol- 
lowing Corollaries of more ready Ufe, I fhall take 
the Liberty of diftributing them into Three Claftes, 
the firft of which are as general as the Theorem 
itfelf, extending to all the Three Cafes, but are more 
par- 
