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# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 4
# Folio 15r, page id 00068217:0031
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 34v); this page is its right half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068217&page=31
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 61 lines, status machine
# Lines: 61 recognised, mean confidence 0.85
# 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.

2,) + 13 X ast 63
3
Er 12,2 + 13, 3, 63 aqu. 0. 1n6 b
2) 22, 2 4 23, 3  H3 aequ. 0 13 9b 1356
1) 21, 2 4 31,3 -
1D 12,2 + 13, 3 = 63 aequ.0.
uob
3b
2) 2252 + 2,3 - 113 aequ. 0.
3) 12, 22, 2 + 13, 22 3 - 22, 63 aequ.0  Ex n. 1. per 22
4D 12, 22, 2 + 12, 23, 3 = 12, 113 aequ. 0. Ex n. 2. per 12
5)  + 13, 227 12, 23(3 - 22, 63 + 12, 113 c9v.0.
6)
22,63 pp. 1386~ 12, 1 aegu 1356. 186-135b aqu. 30
3 aequ 22, 63- 12, 113 N 186 Hb eegoomrgo
13, 22 - 12, 23 B3A2 aequ 286. 23, 1 4qu. 276. 1322= 12p 3 a qu. 10
7)) 2 aequ. 23, 63 - 13, 113.
12, 23 - 13, 22
8) vel 2 aequ. 13, 113 - 23,63 N.
13, 22 - 12,23.
) 11, 2 + 19, 3 + 12, 2 + 18, 3 = 290 aequ. 0.
10)=4, E +29, 3 1 m, 2 1 13, 3 470 aqu0
9)) 14, 2 + 19, 3 + 16, 2,3 + 12, 2 + 13,3 = 386 aequ.0
10) 24, 2 +29, 3 + 26, 2,3 22, 2 + 13, 3 - 62649u.0
statim ex aequ. 9. 10 habetur valor 2. et 3 ut
supia ex aequ. 12. habitus valor 2. 3. tantum s
1113
pro 2. 13, 1 12]22. 113 (23. 163
crbendo 22. B32. 14. 24. 19. 29. (386 - 122  1,3. (626 - 12 2 - 23,3.
11)) 3 aequ 24, 366 - 12, 24, 2 - 11, 24,3, - 14, 626 414, 13, 2 + 14, 1, 3 pro aequ. 6
fiet:
19, 24 - 14, 29
2  aequ- 191 386 + 13, 29,3 + 1229 2 + 19, 626. + 1923, 3 - 19, 32, 2 pro aequ. 8
si jam in aequ. 9 substitueretur loco 3 et 2, valores inventi aequ. 11. 12.
19, 24 - 14, 29
inventi oriretur aequatio identica, quia perinde esset
ac si in aequatione, substituere vollemus loco 2. 3. valores
inventos aequ. 6. 7. ubi necesse est oriri aequationem.
identicam quippe ex cognitis meris, sublatis incognitis 2. 3.
et
Ergo in aiqu. 9. substituatur tantum, valor ipsius 2
pro veniens multislicetur per 3. habebius aliam aequa
tionem continentem, 3
92
22,7 + 23X magt 113
+6
171
177 24
2
261
Y 16 757
227 6. 290
290
2G
386
470
26
30
aequ. 3.
10
ab. 8