2 44 MifceUanea Curio [a. 



Momentum of the Curve FAD librated on 

 the Axis PH an* its Fluxion is DHxDd~t- 



ax A- xx 



PF x Ff=2BC x, AD--2^|-2.v x 



ia*x~\ 4.axx-\-ixxx a*x 



\fiax-\- 



V 2d3 , -l~.V.V y 



lax A xx 



$axx-\- ix 2 x 

 » — the Fluent of 



2axA-xx 



\fzax~\~xx V 



which, a%BD~\-a\/2ax~\~xx-\~ x\j iax\xx = 

 CAxBD~|CB*AD. Wherefore CAxBD+ 

 CBxAD~ (becaufe it arifes together with 

 it) to the foremention'd Cylindrick Superfi- 

 cies — the Momentum of the Curve FAD 

 with Tefpecr to the Axis of Libration PH. 

 Whence the diftance of the Center of Gra- 

 vity of the Curve FAD from the point C, 

 is CAxBD-t CBx AD '■ , CAxBD , x ™ 



2AD ' ° r * AD~~ t * CB< 



Farther, becaufe of ZK parallel to AR, 'tis 

 AD : BD : : (AR : ZK : :) CA : CZ, whence 



CZ sp —*JP, and therefore CE which by 



Conftru&ion is ~ f BC -|- £ CZ, ilia 11 = i 

 CAxBD , That . the Center of 



AD . . 



.Gravity of the Curve FAD, and the point E 



determined' 



