J B m — i — * = , tea 5 = — ■ , 
QoroUarium 3*'^ - 
Si m ponatur aequalis tcrmino cuivis fequentis (eriei, — 
— , I, o, I 2, 3, 4, 5", S?c. quadratura Curvae cujus ordi- 
nata V dx^xx^ pende t a qua dratura Circuli : Area vero Cur- 
vae cujus ordinata dx-\'xx pendet a quadratura Hyperbo- 
lae, & relatio iftius Curvae cum Circulo aut Hyperbola exhibe- 
betur per Seriem noftram in terminis finitis* 
Qorollarium 
Si m exponatur per aFium quemvis terminum diffcrcnt em a b iis 
quas ft pra mem oravimus; Curva cujus ordinata (^dx-xxZXM 
x"^ / dx-^-xxy neque quadratur exa<ae, nec ab Hyperbola 
aut Circulo pendet, fed ad Curvam fimpliciorem reducitur per. 
feriem noftram; 
Theorema 2"^ 
Sit -^rf Area Curvas eujus Abfcifla x & ordinatim applicata 
Sit ^ area Curvas cufus Abfciffaeadetn cum priori fed or- 
dimtim applicata — ^ ponafur /i^c^rr j. Erit ^ == 
