# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068235:0034 # Permalink to this reading: https://leibnizlegible.com/page/00068235:0034?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 22 # Folio 17v, page id 00068235:0034 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 18r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068235&page=34 # Source image: https://digitale-sammlungen.gwlb.de/content/00068235/jpgs/default/00000034.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 76 lines, status machine # Lines: 76 recognised, mean confidence 0.81 # 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. (.1 35 30 37 39 1 - = + - + = ete - = 4 3 + 1 - 1 en vel sic abinitio 37 39 tse 13 35 36 + s ac. 2 - = + L - 1 1 + L ∞1 erc. quaerendum ergo I1 12 13 Tantum utrum L= + erc. sit majus quam Quaeritur an ea quantitas sit major nihilo. seu utrum - = + = - 1 + 1 - 1 sit majus quam 12 jam Est autem Hoc ita discemus: fiat fractio 5 + + e hoc fractio est major unitate si L- = eremajor quam 12 sit major unitate, id est an = - + = - + - erc: sit major unitate ed quia hoc nondum satis bene judicari potest, vi deamus, an quadratum quantitatis 12 - 12 + 12 12 etc sit maius ipso numero. jam quad ratum a 12 est 144. quadratum autem a - 1 + 1 - = erc. est = - = + - 2 + 2 - 2 en 319 517 49 7,9 S,II 5, 13 5,15 7, 11 77 + L - 2 + 2 - 2 81 91 39, 13 975 12 25 aego +1 - 4 + 16 - 64 + 256 - 1024 + 4096 - 6184 L, aequ - 1 + 6 = 36 +216 -, 696 1+6 I+g aequ +1 8 f 64 - 512 + 4096 + 1 1 - = ac. 114 16 18 1+10 4-= + L- 2 er aequ d 1n2 1+10 aequ - 1 + 10 = 100 + 1000 - 10000 etc 0422. Tarde nimis procedet haec appropinquatio; an forte melius erit inverso modo quaerere +82 expressionem sinus ex arcu; reperi autem si arcy a. radius Y, sinus S. fore: siago s aequ L = ii 11 14, 5 12) 4Si 15B3 A, 6 9 1. 3, 1 5 f. 9 1 12 1 , 18. 9 , 1 etC saqu. A- 23Y 12345Y ubi patet post 5 priores terminos, en quavis additione non novi termini unam chara aerem verua acquiri, sem sequens minimum acquiri, quia sequens terminus est decima pars et amplius naecedentis quod si binatiam progressionem adhibeam, Natim ab initio veros characteres aequirimus. Investigemus autem hinc des quotientes, C Est st _ ad s, ut 1 ad 1 = in + erc. sit a aequ. 1. seego g2t gs + erc. jam A 2s non procedit, ergo quinforet 1+2 2 X A-5 aequ + = 1. 1 5 11. , 7 25 -287 - 1 + 25 + 7 2. 1 5 (. t 19 2, _ 17 1.7 1255 lra 11 1, .sB Ersto qua su lis nihilo minor quod sir proda unt mera signa, -. igitur A- a5 aequ X aequ 13 ieB45 + erc. et a aequ. 1. porro etc 2 pu 7ust q9