Cf4) 
igitur 4 eft fluxio portionis S^hxrx , igitur 
^ lAfJL — if! eft portio ipfa, hiic circumfcriptus cylin- 
drus eft 4 — ideoque ratio portionis Spheric ad 
n 
circumfcriptum cylindrutn eft ut |^ ^ — d — x, 
Ret^lificacio curvarutti obtinebitur, fi Hypothenufa Trian- 
guli redanguli cujus iatera font fluxiones abfciffac & ordinate, 
tanquam Curvx fluxio confideretUFj fed curandum eft ut, in 
expreffione iftius hypothenufa?, akerutra fluxionum folum- 
modo (uperfit, ac una tantum indeterminatarum^ ilia fcilicec 
cujus fluxio rctinetur. Res Exemplis clarior fiet. 
Ex dato fimi rec^o C B arcum A C invenire^pofitis A B = a;, 
CB=7, OA=r; fitCE fluxio abfcifli, E D fluxio ordi- 
natim applicatae, C D fluxio arcus C A ; Ex Circuli propric- 
tatezrx — xx=yyy unde zri — 2x» =2//, ideoque 
=^;+-il^=-^ igitur CD=--=2==, fed 
-7==== faiaunieftex - — = ^□y.^_y.rf ia r* 
Vrr — jy Vrr — -yy ■'J 
__________ JL - . 
jproindeque fi r r — y y\ * conjiciatur in leriem infinitam cu- 
jus fingula membra per r j mukiplicentur, & ex unoquoque 
produdo ad quantitatem fiuentem fiat recrogrcflus, habebitur 
longitude areas A C. 
Non abfimili modo ex dato finu verlb repcrietur idem ar*- 
cus ; Refiimatur sequatio (upra inventa ir^r — z x k = %yy^ 
fit > = ^^-^-^,fedCDf =ii4- yy — 
, TTxx — 2 r A? 'xx 4^ x^ XX .. , rrxx — zrxVr^x'^xx 
-Jy =^^+ ^rx-xx 
feu (omnibus fub eodem denominatore r€du<ais, cxpundif- 
que iis quae fub diverfis fignis concinentur ) = ' — — 
^ 2r X — XX 
T X 
unde C D = ■ ^ — r=:r=r, ideoque longttudo arcus A C per 
V zrx — XX 
ea quae jam di^Ia font facile obtinebitur, Fluxio- 
