io8 



( o ( 5& 



Rea ciirv3E, cujus abfciHa eft z & ordinata 



, fumendo y — ~ mutatur in 



alium ipfi jequalem , cujus abfciffa eft ^ & ordinata 



— . Hxccum formam habeat ordina- 



tx curvx inqua quadrandahucusque fuimiis occupati, 

 niii v^uod fi^no negativo afficiatur, patet aream hujusad- 

 jacentem abfciflk & ordinatie,acqualem efle areae illius ad- 

 jacenti abfciflcE ultra ordinatam produQix , modo earum 

 abfciffe z & y habeant relationem exprefiam iEquatio- 

 ne — Quare fi in expreffione areae Probl. 4 in- 

 ventae pro curva cujus abfcifia eft z & ordinata 



^ 71 4- r I 



■ : , pro z fcribatur f , habetur area cur- 



I— <22,«+z-"' ^ 



vac cujus abfcifia eft z & ordinata ; adja- 



1 — z" -f- z^"^ 



cens abfciffe produ8:te. Qua quidem ratione partes 



are^e geometricc rationales facile inveniuntur. 



' / // // /// /// 



I . i?r. 2;" Rr.z^'' , Rr.z^i"* Rr.z^"" 

 in f- - — 1 . : &c. 



Rr.z"" r — n r — 211 r — 3« r — 4» 

 Partes vero iiTationales fimplicius ita inveftigantur : 

 Producatur OP ad s (vid. Fig. 5. quae pars effe in- 

 teil'gdtur Fig. 4.) ut fint OS,'OP,OS continuepro- 

 portionales^ ducaturque sA, unde per Probl. 4: 



prima panium irratio- 

 nalium areae curva£,cu- 

 jusabfcifla 2 = Os& 



ordinata 



erit 



I 



_ m 



71 Rr 



— a*(sA; AO) 



O^ 



