# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068194:0481
# Permalink to this reading: https://leibnizlegible.com/page/00068194:0481?run=74
# Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 1
# Folio 241r, page id 00068194:0481
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068194&page=481
# Source image: https://digitale-sammlungen.gwlb.de/content/00068194/jpgs/default/00000481.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 52 lines, status machine
# Lines: 52 recognised, mean confidence 0.81
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

quomodo d. Aequationum resorutione.
Videandum  exaltando aequationes 3, 4, S gradus
secundis terminis carentes per a, b,c pt; expliratas
veniatur ad  sublationem Tliminorum nutitium
pro tribus art formulae in gradu primo fena ad in gradu se cundo
a ab ab
in gr. 3.
in ge. 4. a.  b. ab. a bc abi
ngu. 5. a. ab. ab abc. abc. abcd. mf. ab1de. 1. 3. 5. b.7
duae aa ad
1.3. 4.8
g. 6. a. ab. ab abc. a bc. abcd. abc. abcd. abede. abcd es. 13. P. P
gr. 3. a. b. 2b. abc. ab3. ab2. abcd. a bc. abEd. a bide. ab C d. ab de.
a bedef. abedesu.   1. 4. 7. 1d. 1Y. 12. 13
g. 8. a. ab. ab. abc. a P. a br. abed.  ab abE abcd
Abede. a63c. abcd. 2bed abcde. abcdet.
atbed. abede. abcdef. abedesqu. abcdesgt
 c. f. 10. 15. 18. 20, 21. 22
 2. 3 4 5 6 7. 8
10 15 18 20 21 22
i R 3
X = a y = ab Z = abc c = abe d. B- abede stacu
X a =X K aa = XX - 2y a = x - 3Xy + 3Z
at = X 2- 4 Xy + 4XZ + 219
a = x - sXy +5XZ - 5XC - syZ
+5XHy +SB
a = X - 6 X y4pq - 6xco + 6x  48yc0
Xg Xyy -12A32 +=
67
ponamus esse solum x= a + b, adeoque Z et co et phec ) = 0
fiet a = X33yX = jam aequatio data est X. pX-
et a = x - 69X r9yyX - 2y =d
sint erg da aequalio  X - 39X - C = 0 multiplicandu
3 +19. fiet:
137X + 15
X F X + nX + 14yX3 - 3. 12y∞3, 19y X  4y
addatur
+ 13yx + 15X
= 3, 12 y = 3. 15 yX -9. 15
 -3yX+ - 3.1yX -OI1X -O12X -3tis
IX =Sly  O X3. + gyyae Onyy
cliter Xh- pXB 4 multiplicetur per utia sopu
M+ HF +2X +y
+23yX +25
fet
X +21 X + 22X +24y -22pX -24pyX - 249y
+239X +25 X7 = 23pyXX - 2) pX - 259
sparundo sit:
gmx
m= 14C et 21 = 1 sed comparud non procedet
Et puto omnibus expensis non meliore
h0