# Leibniz Legible — https://leibnizlegible.com
# Piece: https://leibnizlegible.com/api/records/60038/text
# Catalogue record: 60038 — Johann Jakob Ferguson für Leibniz
# Date: 1680
# Sender: Ferguson — Addressee: Leibniz
# Akademie-Ausgabe: AA III,3 N. 052
# Other printings: Knobloch: Beginn der Determinantentheorie, 1980, S.26-34.
# Record in the Leibniz-Katalog: https://leibniz-katalog.bbaw.de/de/extended-search?id=60038&katnr=41746%2F4
# AA III,3: its series at leibnizedition.de: https://www.leibnizedition.de/de/reihen/reihe-iii/
# Work: https://leibnizlegible.com/work/00068011
# Title: Leibniz-Handschriften zur Mathematik LH 35, 4, 14 (shelfmark Lh 35, 4, 14)
# Folios: Bl. 9–12 (from the shelfmark LH 35, 4, 14 Bl. 9-12): 8 pages, canvases 17–24, page ids 00068011:0017 to 00068011:0024
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068011&page=17
# Lines: 214 recognised on 6 of 8 pages, mean confidence 0.83
# Catalogue: Leibniz-Katalog / Arbeitskatalog der Leibniz-Edition (https://leibniz-katalog.bbaw.de/), ed. Arbeitsstelle Potsdam I der Berlin-Brandenburgischen Akademie der Wissenschaften, CC BY 4.0.
# 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, page by page: a "## Folio <label> — <page id>" line ("## Canvas <n>" where no folio label is recorded), "# " lines naming its source image and model, then its recognised lines in reading order, one per line.

## Folio 9r — 00068011:0017
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 10v); this page is its right half.
# Source image: https://digitale-sammlungen.gwlb.de/content/00068011/jpgs/default/00000017.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 2 lines, status machine
29E tmei
eeeeeeeeeeeeeeeeeeeeeeee

## Folio 9v — 00068011:0018
# Scan: The same scan is also registered as fol. 10r; its text is given once, here.
# Source image: https://digitale-sammlungen.gwlb.de/content/00068011/jpgs/default/00000018.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 41 lines, status machine
camt 36.36 2x + 37, 37yy + 36, 372y + 36, 31X + 37, 31 y + 32. 36fx + 33. 36ga + 34. 36Ra + 35, 36lx + 32. 37 fy + 33. 379y + 34. 37 hy +35. 37ly + 32. 32 +33. 33gg +34. 34hh +35. 35el,
+ 26. 26 ux + 27. 2737+ 36. 37 xy+ 36, 31X + 37, 31 y + 32. 36fx + 33, 3692 + 34. 36hx + 35. 36l a + 32. 87fy + 33. 3ygy +34. 37 ky +35. 37ly 4 22. 32f + 23. 23gg + 24. 24hh + 25. 25PC
+ 16. 26XX + 17. 17yy + 26. 27 2y + 26. 21 X + 27, 21y+ 22. 26f∞ + 23. 269a + 24. 26hx + 25. 26l2 + 22. 27fy+ 23. 279y +29. 27 hy + 25. 27 ly + 12. 12f + 13. 1399 + 14. 24hh + 15. 15e
+ 36. E8XX + 7. 733+ 26, 272y +26. 21 ∞ + 27. 21 y + 22. 26 f ac + 23. 269 + 24. 26h2 + 25. 26lx + 22. 277 + 23. 279y+ 24. 27Ry + 25. 27ey + 2. 2f + 3. 3gg + 4. 4kh + 5. Sel
+ 26. XX+37. yy+ 16, 17, ny +16. 11 x + 17, 11 y + 12. 167 X + 13. 16gX + 14. 16hX + 15. 16la + 12. 177y + 13. 179y + 14. 17Ry + 15. 17 Cy
+ 6. Xx + 17. yy + 16. 17, Xy + 16, 11 X + 17, 12 y + 12. 16f x + 13. 16gX + 14. 16RX + 15. 16lX + 12. 17fy + 13. 179y+ 14. 17hy + 15. 17 l
= 16. X X - 27.
yy+ 6. 7xy + 6. 1X + 7. 17 + 2. 6fx + 3. 6gx + 4. 6hx + 5. 6lx + 2. 7f Y + 3. 7gy + 4. 7hy + 5. 7ly
= 36. 2x + 7. yy + 6. 7 xy + 6. 1X + 7. 17 + 2. 6f, x + 3. 6gn + 4. 6Ra + 5. 6lx + 2. 747 + 3. 7gy + 4. 7hy + 5. Zly
+36. ay - 36. cx - 37. cy + 22. fx +23. ga + 24. Rx +25. ex + 32. 42 +33. 9y + 34. hy +35. 
+ 27. 2y - 36. cx - 37. cy + 2. f X + 3. gx + 4. RX + 5. Cx = 12. 4y - 13. 9y - 14. Ky - 15. Cy
- 16. 2y - 16. cx - 17, cy - 12. f X - 13. gae - 14. Rx - 15. Cx - 22. fy - 23. 9y - 24. Ry - 25. Cas
+ 7.
Xy = 16. Cx - 17. C3 = 32. f x - 33. ga = 34. ha - 35. ex + 2. fy+ 3 9y + a hy + 5. ey
- 26. Xy + 16. cx + 17. cy
= 17. Xy - 36. CX - 37. cy
+ 6. 2y + 1.. X - 11. y
37. Xy+ 21. X + 31. Y
+ 16. dx - dy
11. ∞ + 17. dy
- 36. ex - 21. y
= 31. X - 37 ey
+ 2 ey
+ 1. 2
132.33fg +32. 34ff+ 32. 357+33. 34gh + 33. 35 gl + 34. 35hl + 32. 31 f, +33. 31g + 34. 3cR = 35. 31l + 31. 31∞ 0.
+ 32. 33]g + 32. 347+ 32.357G+ 33. 34gn + 33. 35 gl 4+34. 35Rl + 32. 317, +33. 31g+ 34. 31h + 35. 31 C + 21. 21.
+22.23f9 + 22. 24f+ 22. 2579+ 23. 24gl + 23. 25 gl + 24. 25kl 4+ 22. 21f+ 23. 219+24. 21h + 25. 21l + 11. 11,
+22.23f9+ 22. 21th + 22. 257f 23. 24gh + 23. 25gl + 24. 25hl + 22. 217+ 23. 219 + 24. 21h + 25. 21l + 1. 1.
+12. 1379+ 12. 14+f + 12. 15fG+ 15. 14gn f 13. 15 gl + 14. 15kl + 12. 11f + 13. 11G + 14. Utk + 15. 11l - 31. c.
+ 12. 13f9+ 12. 14+h + 12. 15f+ 13. 14g + 13. 159l+ 14. 15kG + 12. 11f, + 13. Wg + 14. UE + 15. 1t - 31. c.
+ 2. 3 + 2. 4fa + 2. 5f5+ 3. 4g F 3. Sge+ 4. ShC + 2. 1f, + 3. 1g+ 4. 12 + 5. il -
aa.
+ 2. 3fg+ 2. fh + 2. 5fl + 3. Agh + 3. 6g+ 4. 5Al + 2. 1f + 3. 1G+ a. 1h + 5. il + c0
- 32. cf -33. cg- 24. ck - 35. Cl - 11. c.
= 32. cf - 33. C9-34. Ck = 35. cl = 11. c.
12. ct - 13. cg - 14. ck = 15. ce - aa.
+ 12. df +13. dg+ 14. dto + 13. de +Il. d.
= 32. ef - 33. eg - 34. et = 33. et - 31. e.
12. cf = 13. cg - 14. Ck = 15. cC + cc.
+ 12. Cfp + 13. cg+ 14. ch + 15. el + 11. c.
- 32. ct = 33. cg -34. ch - 35. el = 31. c.

## Folio 10r — 00068011:0019
# The same scan as fol. 9v (00068011:0018), where its text is given.

## Folio 10v — 00068011:0020
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 9r); this page is its left half.
# Source image: https://digitale-sammlungen.gwlb.de/content/00068011/jpgs/default/00000020.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 4 lines, status machine
comt 36,36Xx +3777 -
6. 6Xx + 7
2
DERSACHSISCHE LANDESBIBLIO7

## Folio 11r — 00068011:0021
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 12v); this page is its right half.
# No recognised text on this page (recognized).

## Folio 11v — 00068011:0022
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 12r); this page is its left half.
# Source image: https://digitale-sammlungen.gwlb.de/content/00068011/jpgs/default/00000022.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 88 lines, status machine
4 36. 37, 9Xy + 36. 31.9. +37, 31. 9y + 32. 36.9.
+ 26. 27. 18. + 26. 21.8. L27, 2L. 1. + 22, 26. 8.
+ 26. 27, 1. + 26. 21. 8.
+ 27, 21. 8. + 22, 26. 0.
+ 17, 11. 8. + 12. 16. 8.
+ 16. 17. c. + 1611. V. + 17, 12. 1. + 12. 16. 9.
+ 6 1. 9. + 7. 1. 9. + 2. 6. 9.
+ 33. 369.
+ 23, 26.8.
+ 23 2b.1.
+ 13, 10. 8.
+ 13. 16. 8.
+ 6. 7. 9. + 6. 1. 9. + 7. 1. 9. + 2. 6. 9. + 3. 6.9
= 36. 9. c.
= 36. 9. c.
-37. 9. c. + 22.
-37. 9. c. + 2.
= 16. 8. c. = 17, 8. c. = 12.
= 10. 0. c. = 17. 1. c. - 32.
+ 17.
37.
11.
+ 3L.
C.
c.
L 26. 26. 8.
+ 16. 16.8.
+ 6. 6. 9.
+ 26.
+ 16. 17. 1. 4 16. 1L. D.
c.
c.
16.
36.
+ 21
+ 10.
1
7
 36. e. = 21.
- 31.
= 37
+ 24.
.
1.
+ 27. 27.8.
+ 27. 27. 8
+ 7. 7.9
+ 17.
27
+ 37.
+ 0. 7. 9.
=36.
26.
 6.
37
+ 3. 6.9
+ 23.
3.
= 13.
33.
+
t 1
+32. 34. 9.
+2224.9. +22. 24. V.
+ 22. 25. 1.
+ 22. 25. 1.
+ 23. 24. 1. + 23. 25. .
+ 23. 24. a
+ 13. 14. 8.
L 23. 25. 1.
+ 13. 15. 8.
+ 13. 14. 1. + 13. 15. 1.
3.
+ 24. 24. 1. +25. 25. 1 +32, 33.9i
+ 14. 14. 8. +15. 15. 1.
+ 4. 4. 9. + 5. 5. 9.
+ 12. 18. 8.
+ 12. 19. c.
+ 2. 4. 9.
+ 2. 4. 9
+ 2. 4 9 = L. 4. 3
+ 2. 3. 9.
122. 29. 8. +22. 24. 8.
+, 12. 14. e
+ 12. 15.8.
+12. 15. 1.
+ 2. 5. 9.
+ 12. 14. 8.

## Folio 12r — 00068011:0023
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 11v); this page is its right half.
# Source image: https://digitale-sammlungen.gwlb.de/content/00068011/jpgs/default/00000023.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 77 lines, status machine
comt 36.36,92 2 + 37. 37. 9y7+ 36, 3792y + 36. 3190 + 37, 32. 9y +32. 36. 9fx +33. 369g2 + 34. 36. 9ha +35. 36.9 Cx + 32. 37. 9fy+ 33. 37. 99y + 34. 37,. ghy +35.37. gly +32. 32.9ff +33.22.9G9
+ 34. 36.9
+ 24. 26. 8.
+ 24. 26. 8
+ 14. 18. 
+ 14. 10. 
+ 4. d. 9.
+35. 36. g
+25. 26. 1.
+ 32. 37 9.
+ 22. 27. V.
+33. 37. 9. +34. 37.9. +35. 37.9. +22. 22.1. +23, 23. 8.
+25. 27. 8. + 12. 12. 8. + 13. 13. 1.
+ 25. 27. 1. + 2. 2. 9. + 3. 3. 9.
+ 15. 17. 1.
+ 15. 17. 9.
+ 5. 7. 9.
+ 5. 7. 9.
+ 35.
+ 25. 20. a.
+ 13. 10. 8.
+ 13. 16.8
+ 5. 6. 9.
+ 5. 6. 9.
+25.
15.
5.
+ 4. 6. 9.
+ 23. 27. 8. +24. 27. 8.
+ 23. 27.1. + 24. 27. 1
+ 13. 27. 8. + 14. 17. 1.
+ 13. 27. 8. + 14. 17. 8
t
34
+ 22. 27. 8.
+ 12. 17. 8.
+ 12.
+
2.
+ 2.
F 32.
2.
4. 7. 9.
22.
2
25.
5.
+34. 34. 9kh + 35. 35. Gel + 32. 33. 9fg +32. 34.9 fh +32.85. 9 fl + 33, 34. 9gh+ 33. 35. 9ge434. 35. ghl +32. 31. 9f +33.31.9g + 34. 31.Ghr 35. 3L 9P +31. 3L. 9. ∞0.
+32,35, 9. + 33. 34. 9. + 33. 35. 9. +34. 35. 9. +32. 31,9. + 33, 31.9, + 34. 32.9. + 35, 31. 9. + 21. 21. 8.
+ 24. 25. 8. +22. 21. 1. + 23. 21. 9. + 24. 21. 8. + 25. 21. 8. = 21. 21. A.
+ 24. 25. 1. +22, 21. 9. + 23. 21. 8. + 29. 21. 8. + 25. 21. 8. + 81. 41. 9.
+ 14. 15. 8.
+ 12. 11. 1. + 13. 11. 1. 4 14. 11. 1. + 25. 11. 1 4 31. _. C_
+ 14. 15. B. + 12. 11. 1. + 13. 11. 9. + 14. 11. 1 + 15. 11. 8. - 31. 9. c.
F 3. A. 8. + 3. 5. 9. + 4. 5.9. + 2. 1. 9. + 3. 1. 9. + 4. 2, 9. + 5. L. 9. - 9. aa.
F 3. 4. 9. + 3. 5. 9. + 4. 5. 9. + 2. 1. 9. + 3. 1. 9, + 4. .1. 9. + 5. 1. 9. + 9. c eas
= 32. 9. c. - 33. 9. c. 4 3A. 9. c. - 35. 9. c. - 11. 9. c.
32.9. c. = 33. 9. c. - 34. 9. c. -35. 9. c. - 11. 7 8. c.
12. 19. c. - 13. 1. C. = 14. 8. c. = d. 1. c. -
12. 8. c. = 13. 1. c. - 14. 1. c. - 15. 1. c. +
+ 12.
8. ac.
C. + 11.
c = 31.
d + 11.
c - 31.
1. Cc.
c.
c
d.
c. + 13. c. + 14.
c. + 13.
- 32. C = 33. c. = 51.
C 33.
+ 12. d +13. d. +4. d. + 15.
32. e = 33. e. - 3. C. - 35.
c.

## Folio 12v — 00068011:0024
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 11r); this page is its left half.
# Source image: https://digitale-sammlungen.gwlb.de/content/00068011/jpgs/default/00000024.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 2 lines, status machine
TFRIED WILHELM LEIBNIZ BIBLIOTI
CHSISCHE LANDESBIBEIO