24.6 Mifcellanea Curioja. 



C O RvO L. VII. 



The Center of Gravity of the Space 

 PFADH, is in I the middle point of the 

 right Line CE. For fince the Center of 

 Gravity of the Fluxion of AD, or Dd, and 

 Ff, is twice as far diftant from PH, as is the 

 Center of Gravity of the Fluxion of ACHD, 

 or DHhd, and FPpf', and Dd-| Ffx AC is = 

 DdhH-|-FfPp^ 'tis plain that E, the Center 

 of Gravity of the Fluent FAD, is twice as 

 far diftant from PH, as I, the Center of 

 Gravity of the Fluent PFADH. But this 

 may be yet (hewn otherwife according to the 

 Method us'd before. Imagine an upright 

 Cylinder to be ■ ereSed upon the Figure 

 PFADH, and to be cut off by a Plane paf- 

 fing through PH, and making an Angle of 

 45 with the Plane of the Bafis. This Solid 

 will expound the Momentum of the Figure 

 PFADH librated on the Axis PH. And 

 the Fluxion of this Solid or Momentum (viz. 

 the Solids ere&ed on the Bafis PFfp, and 

 HDdh) is produced, by multiplying the Mo- 

 mentum of the Fluxion, or the Fluxion of 

 the Momentum^ into \ AC given. For by 

 for. V. of this Proportion HDdh=DdxAC. 

 Wherefore the Fluent Momentum it felf, is 

 produced by multiplying the Momentum of 

 |he Curve FAD with refped to the Axis 

 tH (as determin'd at Cor. foregoing) viz.. 

 CAxBD-l-CBxAD into \ AC ; which will 

 therefore be \ ACx ACxBD-liACxCBxAD. 

 And confequentlv if this be divided by the 



librated 



