# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068235:0018 # Permalink to this reading: https://leibnizlegible.com/page/00068235:0018?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 22 # Folio 9v, page id 00068235:0018 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 10r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068235&page=18 # Source image: https://digitale-sammlungen.gwlb.de/content/00068235/jpgs/default/00000018.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 45 lines, status machine # Lines: 45 recognised, mean confidence 0.89 # 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. poterit quando aequalio fiat similis initio datae bb + Zab aequ aa. fiat: a aequ Vb + d. bb + ZV bb + Z bd aequ. vv bb + 2V bd + dd fiet 1+ ZB aq vB et B aqu 2Z et Z aqo o sit erso comparanda cum ista bb -Z bd aequ dd. quias itaque ordinata illa hoc modo stabit: a comprrundu isti + 1+ Itaque fiet. vo = 2V cecvee comparanda isti: 1 bbaque bd aequ id major quam d Ergo 1+ZV - vn aequ. 1. seu Z aequ. . sive Z aequ. v. Item ZBrB aequ Z. Ergo 2Z aequ 2B seu Z aequ v. ut ante. res ergo in hoc casu succedit forro non potest continuata explicatione non potest aequatio prodire Similis alicui praecedentium, quin antea prodieris aliqua similis initio ita et similis praecedonti ex aliqua initio datae similis prodire debiet posito, quod duae similes aequationes in eadem hujusmodi seriei non possint diversis modis oriri; de qua tamen hypothesi adhuc dubito, et extaminari potest an vera sit Sed ista alias prosequemur, nunc tantum ortos ex continuata explicatione imignitae prima valores explineme ascribamus, ne scihint literas continuata explicatione aequationum ile sit (quod tamen in numeris p utile est) sed sufficiat statim substituere, ut alia valorem ut aliqua explicatio longe remota una act explicatione aequatro inveniatur sit a aequ l b + c Ponatur baeqo m D im C + d fiet a aequ. lM) C + ld Ponatur C aequ. aaequ. nd re fiet a aqu Impris + l mje pa + f fiet a aequ. l m, n 24 e aequ. 4f +9 fiet a aequi Ex habito autem barem issis A. semper ladetur valor) ipsius b. facend promovendo valores pra. ut pro ponatur n, pro m. vero n, et pro npsii et pro p fict q. puo ullima 4 scribatur 1. ut evanescat. Hunt et abetur +