rjRII GENERIS, a5 



§. iS. Sit Cif!^)is AMK^ cuius circulus genera- "^^pf * ^^ 

 tor ANEB. Pofids AP:=/, ?I\{^j, AB=2r, '^' ^- 

 liat llclio pcr oruinni<im HK, it;i \t iint AH — <7, 

 HKzr(^^ at«.]ue crit, cx natura Ciflbidis, aequatio f^ 

 — 2 rj' - tj- \ vocatd igitur H P ~ .v , vt tbrmulae uo- 



n .. • • • . odV j (a — x) <2.xd.X -n 



Itrac natura rcqumt, orietur ~—yxax~);jY£^—^.Vo-' 

 natiu: denuo a — xznt ^ et iiibdituatur hic valor in ex- 



3 



,v • . •.. "'^V t-^(tdt—acSt) t'dt—ai^dt ^ ■ 



preflione inucnr.i, cnt — — ■ v( : r~^ n~ — vTyr^P)- Q^^^ 

 sutcm praeuidco, Integrale huius formulac habiturum 

 eiTe lianc faciem generalem, ( ct^- -1-S/-+-'V)^'-^^'"^*) 

 -f- ^J''-^ {2ri— 'F) 1 comparo terminos homologos poil fa- 

 Ctam diiferentiationem , ct innenio ctrr— ' ^-—^^ — » 



y — —2 , — —^ , qnibns fubftitutis , et ex- 



preiTione fic ordinata, vt abeunte t in a, fiat V — O^ 

 habctur Integrak complctum f - (-'-^^"- -+- -3^-^ / - 1 

 r)V(2r/-/=)-(5r-.3^)NCI~*-^-i^:^V^(2^ 

 r — a-)-^ vndc patct, Cubatur.im generalcm huius Vn- 

 gulae per ordinatam dependcre h redificatione arcus ■ - 

 Circularis NI. Si dcfiderctur fohditas fcmi-vngulae 

 intcgra, ponatur t~o., qno fido fiet NCI — ACI, 

 atque habebitnr V ~ - ' ■ ' ~'^ 1~'^'^'' 

 i-xACI. vnde fi ponatnr a: 



hoc eft, fi c^a\ crit haec vngula aequaUs Cyhndro, 

 cuius bafis efl Circulus generator, altitudo radius AC. 

 Cum vcro recti BF, perpcndicularis ad Diametrnm AB^ 

 fit Afymptotus Cifloidis AK, cuidcus eft fcmi-vngn- 

 gulam ralem , cniiis feclio fit iuxta orduiatam BF , por- 

 Tom. n. D rigi 



