( ) 
Iheorema 
Sit A Area Curvse cujas abfcifla at, ordinatim applicata 
; fie 5 Area Gurvse cujus abfciffa itidem ejufqv ordinatim 
applicata - Erit Area 
d " X 
d X ^-'^ ddx »»^2 
A — d"* B — — — ■ ^ ■ &€\ 
Sit orditiatitn applicata . , tunc Area erit = 
d-^-x 
x^ dx^-' ^ dd X ^-^2 
A= . }- >, &c. :i d^ B. 
m ' I m — z 
Corollarium. 
Si m exponatur per terminum quemlibet fequentis feriei, o, 
I* 3, 4j J, 6, Quadratura Curvaecujus ordinatim 
applicata ^ , aut ■ ' * p^ndet a quadratura Hyperbote j 
d X d -J- » 
Etenim duftisD £, £ jpad angulos redos, fumatur ^ G = 
ducatur G i7 normalis ad Ei^'^f ipfi asqualis. Intra Afympto- 
tosDfi, £ /^defcribatur Hyperbola per tranfiens, quo fa- 
fto fumatur GK=: x verfus £ pro primo cafu, at v^rfus F pro 
fecundo; ducatur ordinatim applicata KL : Area BG K L per 
divifa ^qualis eft Arex Curves cujus ordinatim applica- 
Mmmmmmra %- ts 
