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# Title: Leibniz-Handschriften zur Mathematik LH 35, 5, 9
# Folio 2v, page id 00068027:0004
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= C x. sed jam video ista nun quam procedere, nec per partes in
hisin posse, nam vg. sit X + (3,  XFB 3 = X, X,  fier X2βX.
quod longe aliud est quam X + β, = X , d X + β = X. quod daret (2
concludendum ergo, aliud esse dvis quam dode, aliudque d quam d
primus gradus
D5IpD AB,X, BCpY. 7B++
de
sit aX + by CY a + bX + Cy p0. ordinando et accommodando ad tangentes,
fiet: btp - cy. et t =. eodem modo: Ap = X. sit WC co. 
fint
patet esse: T= ⊓ B. erficr: co B = eodem mod β LoC E.GC7(
decundus gradus: a + bX + Cy + dx + ey + fyX Y 0. ordinand ad tangentes, fiet:
bt + 2d XF + fy tB - cy - 2eY 4. fyX . adeoque +p = Cy -2ey - fyX unde facile
putet semper E per 3, (et 6 per X) dividi posse
b +2dX + fy
et quoniam coH BY. ised fiet hic co B B b + 2dX + fy. adeoque fiet:
= c - 2ey - fX
y-CoE . x 32βbr2dX at paulo aute yp = a - bX - dX
f+2e
c + ey + fx
et fier: - coienr, (brrox, + fx m, + fre aubxo -a et  2 (brx
I  - codc+ fX, =B D+dX,- C
5+2C
Quem vatorem arientum instrendo in  vatore ipsius eo habebimus aequationem
inqua nulla Y. quod ut fiat commodius, quaeramus ruisus Habemus ergo aequatio-
per partes in exiguis. yx a differentia erit
tim ae yt =. eut. c0 Ca. e B
varia
nem in quanulla est amplius y.
VE XX. i e -X. C B7 -y
Et omnes figurae, quarum
aequatio ex hac aequatione  pro explicatione literarum  constantium
formari potest, quadrari possunt. illae item quae ipsi per methodos alias ostendi
possunt (t 6u CGYYCTO).