x^B SOLVTIO FROBLEMATIS DE VI 



n 2n — 1 



•zi.{a—g) py dj {OK -\-y ) ^ . Confequenter inte- 

 grando, Vis centrifuga totius oirculi radio XSdelcri- 



2 2 2«-Ht 



pti zz^X^(OX -f-j ) 2 _i_ Conft. Euanefcente 

 autem y euancfcit Vis centrifuga : igitur conftans 



^—p~^OX vnde Vis totius circuli, radio XS,vel 



XG(3i;')defcripti-/>^[(0.r-h)') ^ -O.r ] 

 ILi(flenus autem, cum de folo circulo radii XSj vcl 

 XG agcretur, alTumi OX pro conftante debuit. Fi- 

 at nunc LX variabile ■zzx , adeoque OX:=z?n-\-Xj 



^rlt OX —m -{-2f}!x-\-x et y —zrx-x , adeoque 



VisCirculi praedidi=/>„-^_[(;;;2-l-2w:i--l-2r.r) - 

 — (w-HA-)-"^' ]. Haec vis duda in altitudinem X^ 

 zzdx, dabit vim Cylindruli elementaris GP^^^:=:; 



2n-f-i 



—p^^(lx [ ( ;« =-f- 2 w.vH- 2 r A- ) ^ _ ( ;«_-}_a,' )="-+- ' ]. 

 Adcoque Vis fegmenti fphaerici GLV—p^a—g) 



2 ^lirtl- 2n-4-3 27i-f-2 2n-+-2 



. (m/V-H 2 nx-^l rx ) 2 — m (m-i-x) — m n 



l (2n-Hi) (2n-i-3; (m-i-rj Un-Hi) (2n-i-2) J* 



§. ^, Pro vi ccntrifiiga fcgmenti HMQ_inue- 

 njenda, nihil aliud requiritur , quam vt homologae 

 cadem ratione tradentur lineae et fuperficies. Vn- 

 <le in denominationibus fuperioribus efficitur vis 

 centrifiiga fegmenti H M Q_— /> ( <? -f-/) x 



2 2n-(-3 2n-f-3 2n-(-2 2)M-2 



|f — (1 — 2 - 7i'-)-''^ T )) 2 -(-'7 |_(iz::!H} rri "j 



tX:n-t-i; f2n.-H3) (€— r) "^ { 2n-f-i ) ( 2M-2 ) •*' 



