# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068201:0297 # Permalink to this reading: https://leibnizlegible.com/page/00068201:0297?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 14, 1 # Folio 149r, page id 00068201:0297 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 150v); this page is its right half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068201&page=297 # Source image: https://digitale-sammlungen.gwlb.de/content/00068201/jpgs/default/00000297.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 99 lines, status machine # Lines: 99 recognised, mean confidence 0.88 # 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. 1e 10X + uX + 1 X + B X + 14X + 15 20 X + 2X + 22X + 23X + 24X +25X Haec dispositio, ut scilicet prioris formulae 10NX HIBNX + 10BXLIOBKL=VEX quivis terminus d, ut 10, ducatur +11.20~ + 11.2] u + 11. 23. +1123 +11.1. +12.20. + 12. 2. +1. 22. M2Y. per tarminos singulos formulae +13. 2 2131 132. Sequentis 20 x, ete. Ideo non 1142. 14u. placet, quia sic non potest +20 continuari commode, cum pergendum est aduu multiplicationem producti per formulam novam, sic ergo potius: 10X + 1 X + 12 X + 13 X + 14X + 15 X 20X +21 X + 22 X + 23 X + 24X + 25X 10. 20X + 11. 20X. + 12. 20X + 1320X3 + 14. 20 X + 15. 20 X + 10. 21. + 11. 21 +12. 4. + 13. 21.. + 14. 21. + 10.22. + 11. 22. +12. 22. + 13. 22. +10. 28. + 1. 2. +12. 23.. mult iplicetur rursus per +10. 24. +11. 24. +10. 25. 30 X +31 X. + 32 X + 33X + 34X +35X fiet 10. 2030 X + 11. 20. 50X + 15. 20.30X + 13. 20.30X + 19. 20.30X + 15 20.30X 10. 21. 30.. 11. 21. 30. 12. 21.30.. 110. 22. 30 1P. 22. 20. 10. 23. 30. 13. 21. 30 12, 2230. I. 13301 14230 1. 2230. 12. 23.30. 11. 29.30. +13. 20.5. + 11. 20.31. 10. 21. 3] +l2.20. I 11. 21. 10. 22. 31. 10. 2430. 10. 20. 3 2. + 1. 20 52. 10. 21. 32 +)020.33. duabus vel tribus Productum ex tribus for- 12. 21. 31. 11. 22. 31. 1. 20.32 H. 21. 3 10. El. 32. 10.25.30. (. 20.31.. 13, 21.31.. 12. 22.31. 11. 23.35. 10. 24. 31. 13.20.32 12.21. 32. 11. 22. 32 1023.32 M22a33. 11. 21. 33. 113. 20. 31 18.23,31.. F19. 20.33 10.21. 33. mulis ad eandem capi- talem est habet terminos quorum uniuscujusgri membra sunt comb tern 10. 12. 33. = 1D. 20.34, 411. 20.34. 10, 21. 34- 410. 20. 35. omnesbiniones vel terniones, ete doefficientium cujus ex formulis productricibus sre ita ut quaetibet res combinanda sit ex formula quavis productrice, et combinem in unum mem brum combinentur coeffi cientes terminorum quorum efficientes si exponentes simul sumti aquentum exponenti potetatis Ter potestato potestatis termini ad quam habet terminus formulae productae pergatur jam ad formulas binarum literarum quae per alias formulas binarum literarum quaerendum et quae aequationes prodeant, si formulas datas velimus compatare cum productis, iquod nihi aliud est, quam dividere Ab solutis divisionibus, veniendum ad replicatas divisiones, seu ad inventionem communis divisoris