# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068255:0110 # Permalink to this reading: https://leibnizlegible.com/page/00068255:0110?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 3 B 5 # Folio 55v, page id 00068255:0110 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 54r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068255&page=110 # Source image: https://digitale-sammlungen.gwlb.de/content/00068255/jpgs/default/00000110.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 127 lines, status machine # Lines: 127 recognised, mean confidence 0.79 # 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. 39 posiso d, bCd et C esse aequales tesignifiare +1 unson = +q = artin 2binion 24 (149b 25. 5H 15. 5M. ternionp anion bonion 2bon 1b6u-amon 27. M 17. In +64. 7niba 2B. 8, 19. 82 - 12 snio 29. 9, 19. 11356) nivi. ik ia e alieo pe ada cel Ecomum C utrio in hac Tabula 172, 4, s, 1b etc sunt numeri notiseu numeri veri, sed 13, 13, 4 AC15 etC) Ilem 24, 25, 26, 27, 28, esc, item, 3839 ex sunt numeri ficti quorum significatho adhuc quaeritur. Et sic invenitur perum 1 untoc ut b D an FIb. hn. iun Rerum unius Unian. 1 biniones 1 dn = Lbinisr 1 un = 2b n +43nio 1 un -2bm +43 - Ban.. 3niones aniones Enione bniones iones 1 denos utg -32. (1. +16, 3-8. 5 + 4.5. -2.3+ 1+20+1 = 69 169 - 78 - -9 97 5b .32. 4 + 16. 8 -8. 10 +4. 3-2. 4 19= (16 + 16) - 10 + 4,1 =) 7= A9 7. 728 -49. 8- 16. 8 +64. 8+1. 8 49 -16+64 +1 32 - 16. 9 + P. 36- 4. 54 (2. 12tf. 1. 126) 1b.3 4 8, 12 = 4. 2B + 1. 41 83+ 4. 12- 2 EY F 1. 21 = 11 (- 1D. 10 4sL aliona N. CN7 +2.9+ 365d, eirigb 42- 9, 24 72 + 4. 84 - 2. 36 + 1.9 54 = 18 8+1 = 14 1+1 = Cn - n. n 12 + y. p 1 n - 24 - n. p - 1. n. 28 et c = 0 31 n est par seul + est pro segunda et sequentibus columnis numeri adq fictitios, ver 6. pr. pro secunda 12, 13, 14, etc. pro 3tia 24, 27, 26) etc Ex his aequationibus, numeri se 12 13, 14 etq Cinveniri possunt, 12. 1=1. Ergo 12 = 15. F12. 3= 1 seu 13. 1+ 3 =1. Ergo 13 =1-3 pro 1 et 0 sribamus a, b, fie 1343 a = a 13 = (1- 5) a 14 = b = ba - (1-1) 9a 15 - b - va - (1- 3) 10 a - 3b + (6.H seu 15= F 900.- (5)4 sit quia b = 0 fut 14 = - b.l 3)1. 15 = =10. 1 = 10 (1 -3)- 6. 1- 6.3)) g aid. +13. 10 +1X16 = b + 16, 215.b 1145 + 13,20 + s= va Lib.r r15. 2 +435 +1235 + 12 - 10,81556+14. 7 +19. 1 +19.9 1736 216.32 2igib. Y,4 b 13. 84 generales sed more meo distinctivat Ce loc to a 1 109g 101I I W 1 40. 22+10 Z =6) 303320. 23 +10. 13 qu.113034+ 29. 24 enc eti 44 esc eribi 1i 22, 10. B + 20 et omnes sunt dut qraeter 10,2030C 10 = pa 20 =2b- 12430 = c a = 23b+12. 27a e videntur notae monnili paulo altem instituenda quaeratur plimm valves cum a, b, e, djete sunt 1, B, 1, 1, ea deinde cum sat 1, 0, 1, operc dem hiae cu sunt 1, 1,0, 0, 11, or 140. labim 8. 1 +16.6 ∞ 8. 15 +64.1 22. 7 Hb. 2 a 20 -7. 1C =0 2. A 6(= C 81+64. 83228 416.5 +256i1 p28. 9 +64. )6- 32. 84 H6. 126 -8. 1b +4. B 2. 36 4. 91=1 141 nna + etq N. N -1. p - 2 3. asi es par 1 etc) pront n par vel impar 124 n. H- 1. p- impar sensi q est 4 sunt quaerendi, ideo adhibum fir. 1 = 1 Eurum demonstiatio: celas l ier eto e ubi += + 2. M. 1. p2 est sintis 20 =3 = 355+ = 14 pro c + 1 potest et scribit 1. quod est 1 se n impar mconstratio: 1= In (1 +2) = () +C1 2 + n =+, (i = 4c et (1) deia ut +sit + y par et N et = sit =, si n est impur. fine 1 advidondo utrinque subtrahendo utrinque X1, et rosiduum dividendo 12. 1= a seu 12 = R e 15 - (910. 1 + 18. 3 = 5.6. 1 + 5. 1. 4 - 5. 3. 4 12=_, 13 = 1 -3 14 = =6. 1- 4. 1 + 3.4 10 H = d etc quo melius in haec inquiratur; pro 1,3, 6, 10; 1, 4, 10720, etc. Ponamus motas etm eeet ita porto