8a DE COMPARATIONE 



Pundlis antem A, B, P, Q_ rcfpondcant varinbilis z 

 •valores a, If, p, q- vt fit 



AA-n-.a; i^B-U-.b; ^V-U.p ct AQpTl.q 

 hincque erit 



arcus datus AB~n : b — U : a 

 et arcus quaefitus PQ^zz n : q — U:p. 



Lim primum ex coefHcicntibus A, B, C, D, E et 

 conftanti arbitraria M deinceps definicnda formcntur 

 quantitates fcquentes : 



«Z4(AM-BB^ §-2B'M-C)4-+AD; v=+AE-(M-Cr 



^=:4.(EM-DD); £r2D(M-C)+4-BE; S — mfA-QC 



H-4(AE-+-BD) 



tum vero porro flatuatur : 



A=M(M-C)'+4MBD-AE)-i-4(ADD+BBE)-4BCD 



atque inter p ct q hacc conftituatur rclatio vt fit 



O-oL-^-z^^p+q^-^yipp-^-qq^+^Spq-i-^epqip-^-q) 



-\-lppqq 



cx qua data variabili p altcra q pun^flo Q rcfpon- 



dens ita dcfinitur vt fit 



^ — g -yf>-tftpj:iv A (Ar»- - Bp-t-cf >p-j-iDp»-4-Bp«) 



q — 'y + i£p_Hs'pp —" 



vndc innotcfcct curuac puniflum ,(1 ita , vt diffe- 

 rentia inter arciis A B et PQ llt vel geomctricc 

 alU4;nabilis, vel faltcm a quadratura circuli fcu hy- 

 pcrbohic pendcat , cuius rci ratio in indolc cocfH- 

 cicntium ?l, 33, (E, ©, C£ numcratoris cfl fits. Quo- 



modo 



