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# Title: Leibniz-Handschriften zur Mathematik LH 35, 4, 14 (shelfmark Lh 35, 4, 14)
# Folio 2r, page id 00068011:0003
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 1v); this page is its right half.
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 123 lines, status machine
# Lines: 123 recognised, mean confidence 0.84
# 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.
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# After the first blank line: the recognised lines in reading order, one per line.

122 12. 233 233. 3.3.5.54122.126. 63. 233. 3,3.3+ 122. 122. 233. 24. 3. 3+122 120. 23. 24. 3+122122. 24. 29 ∞0.
+ t2. 122. 23. 233.
+122. M22. 23. 23.
= 122 222. 133. 233.
= 122. 222. 133, 233.
+ 222. 222. 133. 133.
+ 222. 123, 123. 233.
-222. 123. 133. 223.
Yax 123. 223. 233.
- 122. (33. 223. 223. C
sd 6
tecbe
sign +
0 = 122. 222. 13. 233.
0 +CcL. 222. 13. 133.
 +222. 222. 13. 133.
+222. 123.123. 23.
= 222. 22. l23. 130.
0 - 122. 222. 13. 233.
-22. 222. 133. 23.
= 122. 222 133. 23.
+ 222. 12. 123, 233.
0 = 222. 123. 13. 223
ccl. 16. 123, 233.
= 222. 12.33. 223.
+ 122. 23. 123. 223.
+ 122. 1c. ll3. 233.
= 122, 13, 223. 223.
= 122, 22. 13. 223.
+ 122. 22. 123. 155.
- 1El. ll. 133. 223
Hinc sequeretur datis duabus aequationibus
utcunque.
a XX + Lyy +CXy aqu. C
lXA = m yy + n Xy_qu. p
problema esse planum, seu reducibile
ad aequationem X X XX . X.
+ 122, 122. 233. 24.
+ 122. 122. 23. 24. - 122. 222. 14. 24.
T22. 222. 13. 23
22. 222. 14. 24.
122. 222. 233. 14
=122 222. 13. 23.
- 122. 222. 14. 24.
+222. 222. 14. 133.
+ 222. 222. 13. 53
=icciccc. 23. 14. 102. 222. 14. 24.
= 122. 222. 13. 29. +222. 222- 19. 24.
= 122. 222. 23. 14.
= 122. 222. 13. 24.
+22r. 12. 12.29.
= 222. 12. 22. 14.
+ 222. 222. 13. 14. +122. 22. 12. 29
+ 222. 222. 13. 14. - 122. 22, 22. 14.
+ 222. 12. 123. 24.
= 122 222. 233. 14
+222. 222. 133. 14.
= 222. 22. 123. 14.
+ 222. 12. 123. 29.
= 222. 12. 12. 23.
+222. 123. 123. 24.
+ 222. 123. 12. 23.
= en 123. 223. 14.
= 22r. 22. 123. 13.
F222. 12. 123. 23.
+ 222. 12. 12. 233.
= 222. 12. 13. 223.
=222. 12. 22. 133, = 122. 22. 14. 223.
=122. 123. 223. 29.
+122. 12. 23. 223.
= 122. 223. 273. 14.
= 122. 22. 13, 223.
F122. 22. 123. 23.
+122. 22. 12. 233.
= 122. 22. 13. 223.
= 122. 22. El. 133.
= 222. 12. 223. 14.
= El2. 12. 22. 13.
+ 122. 12. 223. 29.
= 122. 22. 223. 14.
+ 122. 22. 123. 24.
+ 122. 22. 12. 23.
= 122. 22. 12 813.
Si vero ponamus 3.3 ∞ Z, poritio qp reliqua
ut rupra, habedimum
A 133Z + 123. 2. 3 + 122. 2. 2∞ 0.
+ 13. + 12. 2.
+ 14
B 213Z + 229. 2. 3+ 222. 2. 2∞0.
+ 23. + 22..
Sit jam 133
aritque
123, 2+ 13
+ 24.
122. 2.2+12. 2 + 14 ∞ c
233.
223. 2+ 23
∞ e
22. 22122229 ∞ f
a. Z + b. B + c∞0.
B d. 2 + c. 3 + f ∞0.
ideoqus per annotationem primam
2
3
∞
2
ce - bf.
b d - a0
d + at
bd = a e
et ut eupra
at. eo quad. +  = cc. 6d - ac X0
et hive, enbetitutio numerie
133. 2. 22L222L4- 233. 122. 2. 2+12. 2 + 14 quad. +
125. 2+ 13. 222. 2. 2 +22. 2 +24 - 223. 2+23. 122. 2. 2+ 12. 2 + 14
in 123. 2 4 13. 233 - 133, 223. 2 + 23
∞ a
∞ b
∞ e
12S. Lrc. 2L 2. Etra 3 Ar. 2A. vntiaeuad +
 Zpr.  a. e vns
2er3tn
Et omnibus im ordinem reducti.