tum veio erit T X : X Y zr: V Q: Q Y, hinc QYz=lI^ 

 — ^.v, confeqiienter 



AV=XY — (lY = y—qx. 



Conditio igitur Problematis iam poftulat vt huic conditioni 

 fatisfiat : 



cifdxYCi-hqq^^j — q X -h X y (i -\~ q q), 



Differentietur haec aequatio', et prodibit: 



dxy(i~{-qq) = xdniq-Vi.-^q.y] 



hinc feparando variabilia erit 



d X 1^1 ^ q 



vnde integrando deducitur: 



l X — l a -^ l y {i -\-~ q q) — l[q -\-Y {i -\- q q)]^ 

 ita vt ad numcros furgendo habeamus ; 



X zn » ^' {• -^ q q) 



q -^- \ \i. -i- qq) ' 



vnde porro fequitur: v 



- y — i^=:— ''-^ ., fiue 



Ponatiir Y (:iax - aa) :z v^ evit a -- x - ^-^-=^ ct dx-^Ll^^ 



y [1 a X — 4 a)' 



hincque 



ct integrando 



r = Conft. + J-y — -^, 

 (lue reftituto .v 



j~l,-\-l3^Y(2ax — aa), 



B b 2 vndc 



