DELL' ACCADEMIQ. 175 



vcnitur totius trapezii MNCB momencum ^|^«d! — f^'tf 

 -<- I P di = I /)2 a. Igitur triangaU MAN, & trapezii 

 BMNC momcnta rcfpefta Axis MN inter fé jequantur, 



HI. Sit fecundo Conus BAC , & per centrum gravita- 

 tis E trajiciarur planum A4N bali BC parallelum.- dico, mo- 

 mcnrum coni MAN refpedu plani MN requale efle momen- 

 to frutti conici BMNC refpecla plani ejufdem. 



Duclis planis hinc FG,/^, inde PQj /"? infinite proximis 

 Se bali parallelis, & Ai in eadem plana perpendiculari, fiat cir- 

 cuii MN diameter =^, circuii FG diameter =:j/ perpendiculum 

 AH=K fitque I ; n ratio diametri ad circuii peripheriam . Eric 



iam AT=:__ , T^ = _-, circulus FG = 4 ^^'*, coni MAN ele- 



' a a 



mcntum FG r^— _, quod duftum in TH iivt b 



dat iplius momentnm refpeftu plani MN , nimirum I__:L_- __ 



4" 



Z. —y Se omnium hujufmodi momentorum fumma , hoc ed 



4,1* 



— / — i__ = . prsbet momentum coni 



FAG refpeàu plani MN. Abeuute autem FG in MN, feu ^ 

 in *, oritur — w^» «* — -7 tTÌ*** =: -^7r^*^*=: momento totius 



12 10 ^s 



coni MAN refpe6tu Plani MN . Idem invenitur du£la coni 



MAN foliditate _ ^.ba* in diftantiam. fui, centri sravitatis 

 12. ^ 



bafi MN hocefl in Lo, ^ 



4, 



Rurfus in cono truncato BMNC circuii PCLdiamcter vo- 

 cetur z, erirque AI = II, 1/ = _t, HI = — —^.circulus PO 



a a e 



— \tz^ elementum coni truncati P Q,^/» = -, hujus 



4(1 



momentum refpccìu Plani NN = I ! {L — b ) . Accepta 



4a a 



iaranu omnium momentorum huiufmodi \— — ( bt\ 



' de- 



