particularly ufeful in Cafe i. The Second Clafs of 
Corollaries extend to both the Second and Third Cafe j 
but are more particularly ufeful in Cafe 2. The 
Third Clafs extend only to Cafe 3. and, by that means, 
are much more fimple than either of the former. 
General Corollaries , but of more particular Ufe in 
Cafe 1 ; 'wherein the Spring is wholly clofed y 
before the Motion of the Body ceafes. 
Coroll. 1. When the Spring is bent thro’ any right 
Sine C B, Fig. 4. the Lofs of Velocity is to the original 
Velocity, as the verfed Sine to the Radius, or V — 
For, fince v—V%^-,V-v=V-V^~ 
1\ K 
Coroll. 2. When the Spring is bent thro’ any right 
Sine C B , the Diminution of the Square of the Velo- 
city is to the Square of the original Velocity, as the 
Square of that right Sine rothe Square of the Radius, 
Coroll. 3. When the Spring is bent thro’ any 
Space /, v the Velocity of the Body is equal to Vx 
Class I, 
or V 2 — v 2 = V 2 * 
C B 2 
id 
B F 
2 Ma — pi . . 
• - 5 and is pro- 
2 M a * 
For, 
