C A P V T II.

32

seu y—

b p—~a

fr l f’-t- V(

V {< -hpp)

ita Tt ambae -variabiles x et y per p definiantur.'Cum igitur ex priori eliciatur:

p — ab-t-x-J(aa-i-bb— xs o) ^ j pp^ bx-+-H(aa-*-bb-xx )

erit his valoribus substitutis :

o f an h —r x 'i-t-K x t/s n , -,b-X-i]{am-hh—-XX)

OÄ-t-ayiaa-4-öo— x x )

b -f- V(a a -t- b b

seu y—Y(aa-\-bb —xx)~bt

Corollarium.

760. Si conflans priori integratione ingressa beuanescens sumatur , aequatio inter x et y fit alge-braica, erit enim y~V(aa—xx). Sin autem ö noneuanescat, aequatio integralis est transcendens, et lo-garithmos inuoluit.

Exemplum 3.

75 1. Posito dx conflante fi debeat ejse :aaddy V (aa-\-xx)-{-aa&x&y zrxxdx*inuenire aequationem inter x et y. '

Posito dy^zpdx habebimus hanc aequationemaadpY(aa-\-xx)+aapdxzx:xxdx seu

V ( a a -f- x x)

xxdx

Vol II.

E

in