ido DE MOTV CORPORIS 



ixdy—jdx) {tdj—jdt^^txdf—xjdtdy—tjdxdy-hjydtdx 

 {xdz—zdx){tdz-zdt)—txd.z'-xzdtdz—tzdxdz-^zzdtdx 



ob dy-^-dz^^rz div^-^-ivivd^P^-^jdj-i-zdzzzivdw et 

 yj-i- zz::izwiv erit hic numerator 



tx{div- -f- 'wivd<P''^ — [xdt+t dx ) ivdiv-^-ivivdt dx 



€X quo altera aequatio transfbrmabitur in hanc : 



txdiij"-t-lxiuT.ud (^ ' — {xdt-t-tdx)iudiv-i--wiudtdx r Xx B_f , -p» \ 



15. lam ex binis hisce aequationibus facilc 

 climinatur elem.entum ^Cp' , fiquidem hac fubftitu- 

 tione id fumus lucrati vt ipfe angukis (^ excefferit. 

 Prior autem aequatio dat : 



d(p^-z=::{dx'-^div^):[2aaiv'{^-\-l^j)-<iviv) 

 pofterior vero : 



{t X dw^-^x d t -\- 1 d x)iv div -\-iviv d t d x) 



aaflw*(i7 + —-{'Ij^-txiva; 



Tbi pro analogia obferuanda notetur ob dt — — dx 

 efle dx^:z-dtdx. His igitur \aloribus inter fe ae- 

 quatis refultabit aequatio binas tantum variabiles x 

 feu ; et k; inuoluens. 



16. Ad calculum contrahendum ftatuamus : 



atque reperimus : 



{—dxdt-\-dw^){(xa.aQivw—tx)zz 



^ xdiv^^-i^x dt -^- 1 d x)w dw -^wivdt dx){~'Viv'w-\) 



Ynde 



