# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068194:0074 # Permalink to this reading: https://leibnizlegible.com/page/00068194:0074?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 1 # Folio 37v, page id 00068194:0074 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068194&page=74 # Source image: https://digitale-sammlungen.gwlb.de/content/00068194/jpgs/default/00000074.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 45 lines, status machine # Lines: 45 recognised, mean confidence 0.79 # 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. Alla. 2 . EEF st+. mogon amjom sumitgus niplgu in niera insuoeosiae didendum an quaerendo seriem infi nitam incognitae ex pluribus aequationibus idem prodeat, ac si eavi quareremu i ex una. si atercum sis tu nteremur semper illa methodo per tangentes, necessiec est semper prodire Dunum idemque ac proinde hibe modo 3 possemus invenire ultimatam aequa tionem per series infinitas, comparand eam quae ex pluribus istis ducitur cum generati illa quae divitur ex EE: == et at x + cy + du + cXy+ fX) et. sina Htuiu aequatinis finitae quaeratur differen fialis, inde asum aptu arbitran 2 infinitus valor tam ipsius X quam ipsius x Ey. amboper , iisque efficiatur dx 2.. EE 1t dy 2... comparandoque habebitur valor durbitrararum non tamen omnium sed milius assumatur sed hina, nahiil commodi Haec fiant tolies quit sunt dube aequa detem itiones; et ita habebitur retentis isdem utique arbihraris, et ita Etandem omnes arbihrariae invenientur aequatonis incognitae propositae, et cujus libet incognitae. dabitur vator infinitus sine reductione, et ita 211. Curgs G etiam poterit inveniri incognitae solius relatio ad Z, sive aequatio finitat 2 ejus valorem cum generali. Haet methodyslonge exp utam uti a reductionibus faicilior 22Z