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# Title: Leibniz-Handschriften zur Mathematik LH 35, 6, 4
# Folio 70r, page id 00068049:0139
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068049&page=139
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 92 lines, status machine
# Lines: 92 recognised, mean confidence 0.75
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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# After the first blank line: the recognised lines in reading order, one per line.

G9XX + 2agbX + aatih
fax + acX + aad
tande +2a dolX a olit 75
2 chEX
cau
m
=ux A eK
cmo) y =  xx + ex rod gr + si + Sur   2
(3d0) y = exe + VX +6 + B st artex rad, aan tae
Elopu = LXX + CX + ad, 9Xt . + agX rae, Xt K. + Z, 9X tah, xt K V F Xx, ex tad, aax tae
ex
)= . X + 2Bd 
a
0 +7 ax + 2γd x + 88 + 2B exx + DX +d, 1.
B s exuxrad, aax tae
tonamus emo et contideremus C, et d ut datas)
oparationes
Coincidentiu debent valores _ ipsi duo ipsius gy. fiet  agxx + agtix.
B = ag: B V = 9k + ahs: B S= hK: B
Restant coincidembiationes s, et literae , g, hu K, B, C nempe erit
et ex plicando (, V, d, fiet
a
ex fet sBd a ag. siu f = 2 9d
ex
(510)
rag. ral, 1 + abD  - (a c39 + 2as gh. (L per 1) acgus 00 + 2a o
odat
a
tanet
45
seu. 2ag, aa, gk + ah= acggdD + 2a9h
a 00
seu BgK + 2agBBah seu 22ggK + 2a 9h) + aa D = a c 9y BD6 2 a 9h)
 a Runtimo
seu R = acgg c990B - ad: 22299
_ B ag + aaB - 2C998d  a +  + a det = at dhih + eK
+a9 seu ab c9 + ad aud  2ab 99B + 4 ae de DBg = q dhhg ( a g CH 2a9ge C 13BD - 2ag, e a B
unde e e  B  9D  aad - 2ac99 D5 - + ad 9 ih :, 2aac 96b - 2 99B
 dghrck  e + at = 2B 2 gKta, hik + 4300 + cebo
seu rdghactil + e + a. B
e
3
D, F 99- a0D
= el 7 f199B0- fgab +aagat hc gg a bB +  + ce0b
a
2ag99
X aug
2dgh + Cht, 2aa g, c9g - abB + e. 2a g. cggr aBB 4 2 2a  = h. c99. adD, c99BB- aB + nagh + 2d a qu aeo
suma plra  per 2a8 cg9 - aBD, fier
(ced aage 1gg - abb
seu fit  - gh+ chh. L29. 19g. ab = d 2a g + hE g9 ndB. Cg BV. a tragh +. dD a) .99. aoo
qui duo valoris ipsius e sunt aequandi ubi depriombiles funt nominalore, qui illic, 2aaggBD, cgg - abB hic an ., 8B. a, c. alt
C
 raag, codua, cgg - abB
quisdup vilees repient repecientur aequanda  quos duos oalores aequando detrminari potest h
id anctu incommodem mse f et e, non sunt pare arbitiariae. Sed video
huic rei licere mederi, sit enim data eq fiormula y +bgu+ + t 5y+Z. multi
si B estim ht t comparanda cum prod mulca plicetur pe compro _ V + H+ 9)+ 5. fiat ) - x + 9
ic
tianda ex XX + ac XX + aad X + ade
X +3GXX + 399X + 9 com coincident
+ p Xx + Elp gX + ct 49
+9x +89
cu
+ et. ce .
Pita statia invenendo lateras quod fiet inveniendo literas c, d, et 4. Et
cum prioris calculi omnia inveniantur per c et 4, c et d patet ergo
omnia haberi per datas si per c et d inveniantur. ino male video
rem fieri difficllem, quia si pro F. e et f substituantur valores per C et
quos suppono inventos calculus prolioque reddetur
Rem ergo deintegro sic adin praestat, sit formula sy +
1B+ bB tac B, BFd fict 1 = 2 x + f, et fiet e xx + resa + H, ex +f
sit g. (i n+ sx 1. 2 ala + seca s  ha (+ Lx FH
e
a
bex  ac
Cexx +2eF X +8, ex + asque
e
1ac
y= B xx tasa + aas + p
peculiam scheda sam exelatus, sed non ha vetue ritus
be.
ternuae ho1
ex X seuperd.
timuo fit 4)
or si Rest vey B et May)
docc sisses vray lepray
et rursus y-
aat X + aahik ∞ B ExX + DVaX + Daad)
ax ex + ad
2A. et
+ es XX + acex +aede S