# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068255:0191 # Permalink to this reading: https://leibnizlegible.com/page/00068255:0191?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 3 B 5 # Folio 96r, page id 00068255:0191 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068255&page=191 # Source image: https://digitale-sammlungen.gwlb.de/content/00068255/jpgs/default/00000191.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 172 lines, status machine # Lines: 172 recognised, mean confidence 0.64 # 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. +e c +1c us lu 22 fl= 3 - D Ax 1: e aab +C+ al a e apb atbrabe b-1 v eed a alter ati ab rou t las ∞v as ub ab. 1 e e X pro duadicis fractirutam 1b0600050 expresscombus 90000009. 2827. 26. 25. 2, 23. 22.21. 20. eu 10. ll. 12 13. (4. 15. 16 1000000doP 00 vid b.1819 acvicibus 29. 2g. 1 182f24 2827. 21. 2C D. Iquicibus. 29. 28. 27. 16. 25. 24. 25. 22. 4. 20 5 29 28 27 26 25 29 23 22 21 20 1 ey 16 1514 15. 4 4.10 1e E. B- 10 11 12 13 14 15 16 17 18 ig 10. 29 11922, 14 H. 1 15. 29 1b. 2, 1722 18. 2 19. 20 18 133 1826 18y 1824 182. 182 1821 18. 20 107 11, 12 etc dati 20,21, 2t ete quaesit 29 38 27 26 25 24 23 22 21 20 1) 18) 1) 6 15 14 13 12 11 AI+ 21=1. Ergo 2 = 1-1 22+0+12 = 1. Ergo 1 26 15,23 (31 132) (13 21 13. 2 19. 20) 1ex 214. 34 24(14 24 2 1420 1 1b25 b. 22 1b. 21 1b201 26 a. 1. Ergo 23 = 4. 1- 1(- 17-7 24 A 118. 11 = 1 - 11i A2 - 1B. B uut 4(12. 222)0 + 13- 15,. 13414 1732 (17. 2 1720 1 21 (8. 20 1920 1 + 1 - 2 etc = +01010101 ek = 00101OV 24 = - 2. 114 ( 11 + 10 + 11. 12.. IP ( + 2. 11in 13 + 13+14 F= =- q 1b 64 = L a 3 + d- 3 = H1 1915. 25 e5 2 15. 2, 15 20) a 23+1IC 11.13) + 12(11. 12+30 24- () nd. H 1 r14 seu fiet 4+1 4+3 16 ou et 256 27 64 250 9 = - = 1 1+1 10 coics (18 102) (1025)10. 2) 102, (102) 102 (1a21 (1020 H 1 Uy (11. ( 1Z (1124 1. 33 (11.22 1121130 1f. G. S . o2 (n p2. 1 320 ∞ 10 = 1. 26 =1 as 11.220 22 = + 1-12 e 2+1 4 16 ocatur et 00100010001 etc eu 000100016e prosumnis = a1-1 +41 - 1 MM 1+2 It -= L 1 - 1 32 2 4 8 - 10 1-4 1t = L - 1 4 L - 9 M 100-2 100 100 10 105 31 173 901 100 -1 100 108 100 100. = (1adgu - (1a19 + X (XX sit X n eRL((un 1) (n m: 2) en 3gn: usque ad 1 ergoab 100+ k 100-99 seu 3nn + 3na nn 2n m in alti sit ultimri = I n sit ultium n - 1 = 99 Ergo n = 100. Hinc summes, sint m to nn-in cobium quadutoum 2n n+ neut et diffra 2n hom summan 3f31 nn nn3n1 seu nn -1 in on di C + ni e et le 1 a e + Lo e de i e 201 Lu 6 ∞ e e u 1d 2 res vo rex a 3 Y a 1 ut es 1u c o ba od 20 ue+i je 5 1- de is e ea 1 11 e d b ei 5