# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068235:0036 # Permalink to this reading: https://leibnizlegible.com/page/00068235:0036?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 22 # Folio 18v, page id 00068235:0036 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 17r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068235&page=36 # Source image: https://digitale-sammlungen.gwlb.de/content/00068235/jpgs/default/00000036.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 68 lines, status machine # Lines: 68 recognised, mean confidence 0.76 # 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 nihilo minor, eliam foret quantitas nihilo minor, contin scopum. Ergo sumendi erunt sex primi numeri, et lam longe procedendum erit aribus terminis assumtis pro e, et uno ad huc spluribus pro e + 1, donac pluribus. illo ca fieri possit prper e quantitas nihilo majori per et1 quantitas nihito minor. Caeterum etsi prosequeremur hunc calculum, non Ideo. inveniremus relationem e circumferentiae ad diametrum. C sit Daequ 1. C aequ 1 - + + f + - + etc. D - a( aequ. 1 - 2a + a - a etc. ponatur 1 = a aequ o. fieret a aequ 1. jam in jam fiat: in - a +a pro a substiluatur 1+1. fiet: seu 2. fiet : 1+2 seu - quae est nihilo miner. Ergo a aequ 1. et _ aequ + = + L ecc. 1- +b q fingatur esse 0. fiet b qu 3 - 1 - b aequ. 0. O- ba aqu. 1 - 1ab + 1+ b - 1+ b + 1+b erc. seu baequ2. sumatur fingatur jam b aequ. 3. et videatur, an ftres primifermini faciant summam nihilo minorem - + +2. quod non procedit. Ergo sumantur quatuor primi termini fiet: 1, 3,5,7 = 1, 5, 2 = 15, 2b 4 1,3,7 + 13, 7, b - 13, 5 - 1ß, 5b 5+51 3 6 1. 3i1 + disre E fiet b aequ 13,5, 7 = 15,7. + 1, 3,7 = 1, 2, 5 I, seli dita t 1 foret b et 210 05 1s 21 nasoru num nibilo; Ergo fiat; 12. 43 9, 1= 1 5128, lC + 13, 29, uF - 1, 3, 9111 + 13 7, 11-1, 3, 3.9 baequ a 2 13, 5,2, 5, 1E 10395 = 1. prgani major intere est puxime maja integecte est 3. 59, H = orq 2661 Fingatur um b aequ. 4 fiet: + - 3 utis termines, Ergo altiori assumnto baequ 125, 7,9, 11 B 10395 (1,3, 7,9, 11 = 1, 3, 8,9, C1 et y 2051 Integer exime major erit 3. samatur jam fingatur b aequ. 4. pro attrni et sumlis terminis erit: - 2 +2 - 5 + Z-5 +5 qui debet ell esse minor nihila, fet: +1 - 3 + E -5 + 2. seu X-8 + Ep 102 4 105, ergo nisii est major nihilo, ergo adhuc plures termini essent assumendi. Ergo nisi numeri progressionis harmo niaae summa adhibeatur, tis hic calculus erit nimis prolixus Vera tamen met hodus patet. adhuc mipornitu (037. 43386 erpdr (2079 AtA 16 2 rp 14 N B (A155 A99g hg r.945 MCAN 465 1 4 85 2 a 24 rin p395 A6A 207 1153 3234 1. fcer .