DE PRICTlOtiE VtVmORVM. 3*« 



tocque eeleritas quaefita feu altitudo <0 definitur : ac 

 fimul lex conftat , qua erit procedendum , fi canalis ex 

 $>lunbus partibus fuerit compontus. 



37. Quo has formulas commodius euoluamus, (la* 

 fcuamus breuitatis gratia 



-acr 



— <r& 



e * zni— otA ; e g ~ x — «B 



— ac' — a# 



e b zzi—a.C' f e * ==r — «D 

 atss vt fit; 



A=>(i-y+3r-=£ + «c.> 



B — i i 1 -TT H- rp ~ 77P -+- etc.) 



€c / a c , a*c l a T c* , v 



D^i(r-:-fH-^-:-^-+-ctc.) 

 38. Cum igitui fit 



P = (i-aA)/+A/4-Fa;(7f -y erit 

 Q=(i-aA)(r-aB)/+(r-fltB)A/+(i-flB)^-i*) 

 ^%cof.£-h&VQi-£) 

 ilue 



Q=r(i-aA)(i~aB)/+-(i-aB)A/- r -B£cof.£ 

 -f-(i— aJ3) jr-r-aB -* — --; . 

 Hinc porro fit 



R = (i-aA)(x-aB)(i-aC)/-+A(i-aB)(i-aC)f 

 -+-B(i-aC)gcof<-HC&of.->,+(i-aB)(x -aC) ^ 

 -+aB(i-aL)— <r-i-aC. ^r — -r. 

 vnde tandem eolligitur haec aequatio: 

 ./-(1 - «\)(i- aB) (1 -aC) (1 -aD)/ BSs 



A(i-aBXx-«CXx-aD)/+B(t-aCXx-aD>^con< 



-+C(x- 



