[ 36i ] 
At propter fimilia triangula M sm, TGA, erit 
.. ... ; — . ydx — xdy % 
Mm : Mi : : TA : TG. feu V dx z q- dy z : ax : : — * 
y\Jdx--\-dy^ __ n ' unc ^ e f a( q a extremorum mediorum- 
dy ’ 
que multiplicati ons, gri t ad dx -\-dy zzzydy Arxdx, feu 
ydy ( o d dx 2, 4 ~ df _ 
X dx T " ^ 
Fac autem pro feparatione indeterminatarum x — 
confequenter dx^~, tumque hos valores 
pro x, & dx fubftitue in data asquatione. Habebis 
/ , tdy ay a\fd r +a z 
a * t 
tdy ady aydt 
& fadta differentiatione, erit 
— cddt 
r dy “ Ht 
“i leu — ~v 
—a A dt 
f.a' + f.z y t.a z + t* 
ty.cd 4" 
Cum porro ex nota Bernoulli methodo lit 
dt 
' t 
tdt 
t.a' + e 
pone claritatis gratia hafce logarith- 
— . Hinc habebis — — — — 
y 
micas quantitates 
n 
n 
ty.a + 
Pofitis autem y — 7 = p at q ue ideo 
p y _ "1, & fafla harum quantitatum fubftitutj- 
dp — c?dt 
one, obtinebis — — ' 
•* /> npt.a r -\-t 
~ a* dt 
, feu 
pofito videlicet jam primum n = eX <l u0 fc " 
f a z dt t oVf 
quitur dp + '«*+/** 
Vol. LVII. A a a 
Sed 
