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# Title: Leibniz-Handschriften zur Mathematik LH 35, 6, 4
# Folio 77r, page id 00068049:0153
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068049&page=153
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 65 lines, status machine
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Edy. F dy a vy + b,: Seyus +f. fat Ayy = ex. fiat Z dy = C. +x,: 2ex 2 qdys = e. dx Saer ab. ce rar e.
y
s
itaque res eo redit, ut fint A X3 + MX + MX aequand, Ito X cd fiet X + inX +n = XCo. se A + Dm X _n 20 se
X in X, + n - rmco teo, : 4 = + m - 2m cd ( 13). f C0 = v = isto (19) + 2Cd B + V fit Co = m -  - V, :  fem. Etyr
res redit ad S, m - n -V,: 2v + 2m nec aliusd lucramur
EdxuX
Zdy = dy fag +b: Scy rf. fat   seel y = x +9, et erit Zdy =. dxX Sax rgab: Tex + Cgtf hujus ergo datur quadatum
contraria, via
rationalis. Ergo summari A xEu ergo et X Bdx. Ergo et X dv: Habetur et V ax seu aX + ag +b : Cx CgFdx
Ergo habetur et XB ao. Estantam Ne ax + agib = v cX + C9+ Y. Ergo YX = v Seg- ag +5 - b .ta - cvD
 Z = (+ ax +bb + Ysut 9g. Z-  ax alb + = Las X + a99 x + bbgg. Ergo fiel denus
2+- 68029172 1692
4Lb
-aas - 4 agg. - 4 lbgg = 0 opendio _ IX + mXA sit UIXXFImF Ln =
Ergo UXX + m IX + =mm = L tum - In
et _ IX = SL um- In - L m
A Ergo X = Y4 ors Z - rars H ado rrafqu - . n99. 15obi h.  ce. q et X = i F. n -  =  nn t - M
vanescunt omninet fit.
X=Z. ais Z  apil
v
Eq 
+f- 2af.
Ergo nihil hinc novi
pat
Brig
fetze
ab
X Z- AAax + C +    la X +ce t
Saxtc
H
=
s
4 atrasa st . 43. 266 + 2a  3Z - 2abl. + rapq anc
4 a b + 8 atbl1 9t 45 3 2
daa bbgga f 8 atbt
(+8 atb  16 axb699
+8 af9)
+)nolabile line eoremus Pt ca
ax +CC () Palir sog- agg- sbb =  a- f bb. g9
 SaxtCe + ergo 3Z= axraxre+: axcc. sed tunc numentor
nX + da
= 2599 + 2586). -24
24a9 f 8 af bbg9 + 456) 859960 - 8a5 9t
C 4ab- 4 a 9 + 8 a b9
4f b- 4f g + 8F26g
seu ZZ = H2 a X + 2X + eecC: aX + CC Er ha simmari pt Zax
re aX.
F)
saxta
C
est extrahibilis
 lax + 6b q sxrgus = O+D Z = 9 + 3 +207. et  t O + -Z = - 109 s 9+ G- 104+
2p
(263)3
amx + 2nCCX
fiet  Z.  + aqe tate
Xta _rb arc, singula aequanda gto. h. X - m H    +  qy + L Innipus y + v
excitunt quadrata ab h
t axib Cyreet
axL bX EC = ut taga imytn L pytqu
ax + bx + C = my + n + py + 9 + 2 mus +n. pytq
Et y- ta - b sit y = a +b - 2 tab et yt a ( cab +bb - ab 9 = (4ab,
y - 2416 Y - y - 2 tay + a = b
200