# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068207:0145 # Permalink to this reading: https://leibnizlegible.com/page/00068207:0145?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 15, 5 # Folio 73r, page id 00068207:0145 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 71v); this page is its right half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068207&page=145 # Source image: https://digitale-sammlungen.gwlb.de/content/00068207/jpgs/default/00000145.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 63 lines, status machine # Lines: 63 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. tam, quia notum est, quod Numeros Combinatorios etiam extra seriem habeamus in potestate, inde Problema pene absolutum esse puto quampre munc ad Numeros Combinatorios res devoluta est Tentabo autem totum hoc pro Colunui Olis tali modo ibc +3. + A abid 4 = abede +5. +5. 4. +1. abides -6. - 6. 5. 4. -6 abidefgus 47, +7. 6. 5 47.6.5 + d abidefgr - 8. - 8. 7.6. - 8. 7. 6. 1.2. 3. 1. 2. 3. +9. + 9. 4. 7. +95.7. 6, +9. 8. 1. 2. 3. 102. 3.4. 10. Z10.9. 3. -10. 9. 8. 7. 6. 10. 9. 8. 1.2. 3, 1.2, 3, 4. 5. 1.2 +11. + 11. 10. 9, +11. 10,95.7. + 11. 10,9. 8= 1.2. 3, 1.2. 3. 4.5. 1. 2. 3 12. 11. 10. - 12. 11. 10. 9. 8. -12. 11. 10.9. 8. -12. 11. 10.-12 1. 2. 3. 1. 2. 3. 4. 5. 1. 2. 3. 4.5. + 12. 12, 11. +13. 12, 11. 10.g. X +312. 11. 10.95, 413. 1L.14 40 + 18. 12. + 1. 2. 3.4.5. 1.2. 3, 9. 5.6 1. 213.4. 13. 12, -14. 13. 12. 11. 10. = 14. 13. 12. 11. 10.9. 5. - 14. 13, 12. 11. 10. 1. 2. 3. 4. 5. 1. 2. 3, 4. 5, 6. 7. 1. 2. 3. 4.5 +15. 14.13, 415. 14.1312911. 4 15. 14.13. 12. 11. 10. 9, +15. 19. 1342. 11. 10. 3. 4. 5, 6. 7. 1. 2. 3, 4. 5. 6. 16.15. 14. -16. 15. 19. 13, 12. - 16. 15. 14, 13, 12. 11. 10, 1615. 14. 13, 12. 11. 10. 2. 3. 4. 5. unior. Vennio Quiniom. 1. 2. 3. a 5. 6. 7. 1. 2. 3. 4. 5, 6. 78 cobinatorius combinator combinatonus septencom. combinatorius ecepten. . 2. 3.4 16. 5. 14, 13. 12-16. 15 Ergo extra seriem si locus sit par verbi gratia 18 sumatur Novem Positiones combinatoriae Union. Ternion. Poinion. Septenion. Novenion. Septenion Loinion. Ternion. Union ultra Novenionem seu Dinudium 18 non ascendo, portea recurro Si sit Locus per vatuor divisibilis ut Locq Z0 Sumo decem Positiones Union. Ternion Qvinion Septenion. Novenion. Novenion. Sepben. Luinion. Ternion. Inia modo sub signo + modo sub signo = occurrat dese mutuo tollat 6- 8. d 4B-62 -n ab - 23- 5562 76. 20 In talibus autem ad Dimidiu seu Denione accedere non licet quia solae Imparium Combinationes totum efficinat si locus ipse sit Impar ut 17 Sumunturtamen g positiones quasi Unitate major esset Primum Dimidium Positiones Imparee alterum Positiones pari e Union. Ternion. Lvinion. Septenion. Petonicen Senion. Quatern. Binco. Nusta Servas Et hic Positionu Numerus est quoque Impar. Ergo pares Positiones unum locum amplius occupalnte quod si Positionum Numerue sit Par fiat Distributio qalite ut Loca 19 funit 10 Positiones Unio. Tern. Luinio septen. Noven. Octon. Senio Luateon. Dinco Nulli Ideoque huc summa impar positio Maxima pari major est. in prion erat ea deu minor 5612 14 20 22 11t 3063 6 20 41 72 110 1 210 + 15. 14. 13. 12. + 15. 14