# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068056:0037 # Permalink to this reading: https://leibnizlegible.com/page/00068056:0037?run=73 # Title: Leibniz-Handschriften zur Mathematik LH 35, 6, 11 # Folio 19r, page id 00068056:0037 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068056&page=37 # Source image: https://digitale-sammlungen.gwlb.de/content/00068056/jpgs/default/00000037.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 123 lines, status machine # Lines: 123 recognised, mean confidence 0.73 # 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. 4 y n- di= duxa: aa +nn pro relatione inter demifilum n e by rmxy, y = bn + Cn + dn + ent +f n etc Brc n, et y semi- dy = ib 4cn + 3dn +4 en +fi ecc distantia, clnvorum auva aaeut, du = 11b2 + 22 bc n + (23 bd n + 2) 4 bC n +(2) s. l f n (216. bgn (1) 1. 7b1 2, gb fatsnariae dy2 b, e, d, e, 5, , H, t, in untu =aa= = aa b = d c~0 + 3. 2CC n 4 (3). 2.3Cd n H2L9. CC. n H)2.5. C5 n 1826c gl. -r = vota aro +N ua 5+ y vyy- a =1 d 2.2CC (2)2. 3Cd X ∞ = in .4. AC L 5. 5. f.F X(2) 1. 5bf(2, 7bh baa c 40 a a a sin po in t pu l e (4). 1. 1. f.3. 2.5 3dd(2. 3,5d5 = 3b 2.5 = 51 35B. et ponendo n varde parvam 10 non vjn est longius continuare e pF 5 e unde datis y et n habetur a g. semel itis propinque, quod sit und Ee odu esto 1. FDSF~ cocain 2 un cum distantia s paxillorum non multo minor est longtudine curve, itque enim reti der ad du aequalitatis, et proinde est exiguam. ea vigna est rationi D E2 5 8 8 repa arespectu ipsius 88∞B E∞a+ D00 0400040_ a 1127- 8 818, a 2. 5a f + 3. 3aa = 2. 344 =0 seu 10f + au -aa = 0 seu F = 3 ae 10 12) 1. 3 Ba 14 ah . 6 - 3aa + Z aa + a4 = 0 sex 14h + E at Cs 4. 3.3 1. 4.5 2 11246F u5E(res pectus a) viu 3 6y-n ∞ Ia 1 D b = a c=0 d = -R - = C = 0 f = 40 g-0 h= = 2.3 (2)7. 4c0. a d = -b. c =0 f - 3b - 7. 8. b + b () 1.3 I iac fit a ∞ s + n aa 103 4 +3.3dd n (, 3. 4 de (2)3d f237 d bb + (2) 1. 2. bc +(2) 13bd 43) 4bc fit y = n - M Ex D Z (4 E 2. 7 an + Z. 8.5. =2, 3a + 2.5a. 3a + 3. 3aa R. 4a 40 4. 9 pd Y au s 9 112 346+225 2. 7. t _ -3a +3a + a, = 14 h - 3a + 8a 14h - 5a; h = f. 14 a a continuatio in infinitum dac est quod numeralores. l sunt impares s 1, 3, 5. nominatores fact 6 = 2. 7 40 - . . . 5. si 112 -. . . .. 1. 14 ex arithmeticis 2, 5, Detc respective ductis in arttameticos3. 9. 1 sed jlacet unum adtuc teminum Experin 1. 19 2. 5 112 Se 112 3B. 14 19