142 



Demittantnr primo perpendicula BA, YI, BZ et EF, 

 designctqne E pttnctiim curvae propositae coincidens ciim 

 puncto fixo Bj diini recta M N ciuA^am in Y tangit, quod 

 evenire statuamiis in puncto C ejusdem rectae M N. Pro- 

 ducta porro BZ ad punctmn K iisque , ubi secat rectam 

 KY ipsi ZD parallelam, demittantur denique perpendicula 

 KO et BL. 



Sit BA z= fl, AC = — h, abscissa CX =: x, BZ r= w, 

 DZ=:t, EF — /1 et FD — g,eritBK — u-/etKY — GZ =:t-c. 

 Nunc, ob triangula TVR, BKL et KO Y similia, colligun- 

 tur hae proportiones : 



1°. TR : TV z=: BK : BL — ^^ =z ^-^^-^^ , 

 2°. TR : YR zr KY : OY — ^.'1^=: -"^-^ - 

 hincque fit : 



lY — AX ~ BL -f OY — ?(^-/)-^^( Lzr^) , 



At AX zzz — b -i- X, cri;o erit : 



_ 6 + a: — ^(u-/)-f-..Çr_-^> ^ 



imdc sequitur fore : 



quani acquationcm, acque ac L, tantuni ingrediuntur quan- 

 titatcs a cuiva cognita pendentcs. 



Alia Solutio. 

 Etiamsi haec solutio sit multo longior priore, fortasse 

 taïuen nonnulla attenlione digna aestimari potest , quia 



