# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068073:0083 # Permalink to this reading: https://leibnizlegible.com/page/00068073:0083?run=73 # Title: Leibniz-Handschriften zur Mathematik LH 35, 7, 1 # Folio 42r, page id 00068073:0083 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 41v); this page is its right half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068073&page=83 # Source image: https://digitale-sammlungen.gwlb.de/content/00068073/jpgs/default/00000083.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 65 lines, status machine # Lines: 65 recognised, mean confidence 0.82 # 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. inveniri per Communiem Geometriam a. sic ergo assamendum est: Lvora adeoque et ∞ vuh ita enim V. a in aequ. a communis y non est quantilas analytica et fieri necestanos et potest ut inveniatur aliquis arus positis ms L ic 2 et a aequ. 0. aequ. 0. licet generaliter y et a non inveniantior s porsso aequationis eennalis Assumta jam huc aquatione utcunque utique poterit inveniri y ex dato arcu et proinde describi curva hujus modi ex supposita Circuli quadratura rum posito scilicet invenori y x pure ex dati t et a facile enim judicari potest an aequatio ista sit .At inquies etiam paulo aute assumsimus curvam bec hujusmodo et se impossibilis mgilominus aequatio cial impossibilis Recte et ideo video jam non sufficere hoc assumeo, quomodoquoniam a et b havent inter se quandam relationem differen dialem haec ergo substituenda est quare ita praecedemus: ita videbimus impossibilitate uti eam paulo ante deprehendimus. Itaque dvid. NV. a) .ao Calculo dfferentiali inde fiet: s y. a, ay + avs, in V. a. in. V. a unde fret t aequ dys aequatio generalis: t V and aequ. a at ssumaturjam alia b++da Fey+ fcatgtus +hay 6 fer: R9aequ. OE quae aequalio ordinata secundum +l+F ma + ny MM aequ. A2 a nt 8 +. a. y. comparetur vel ipsi 8 iniho datae aequatio i, vel assumtae 2, nam si unicomparari potest comparari potest ag. aeq arisi hac comparmtione litere artillanae determinabentur