# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00067993:0619 # Permalink to this reading: https://leibnizlegible.com/page/00067993:0619?run=73 # Title: Leibniz-Handschriften zur Mathematik LH 35, 2, 1 # Folio 309r, page id 00067993:0619 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 310v); this page is its right half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00067993&page=619 # Source image: https://digitale-sammlungen.gwlb.de/content/00067993/jpgs/default/00000619.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 54 lines, status machine # Lines: 54 recognised, mean confidence 0.85 # 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. Novembi. 1679. ve seriebus convergentilius et quantitatibus em itamde Mesolatis et de inventione indicums seu rexponentium affectorum per est sector circuli Ellipseos vel Analylice haberi non posse quantibtem eadem modo compositum ex X et Y quo et Q et v. patet, nam ca quantilas quae ex a eodet modo componitur eodem formula: ZāŠ“ C + dX + Cy +fxy empo s. eodem modo compositis per anguli sectionem Terminatio hujus Serici Hyperbolae modo composita est ex a et b. sit 7 n C + dZ + ex +fqr a +ab ba + ba a6+ 3 2b a I. B C + da+ daeb + e ab + eb + fab+ faeb+ fab B C + destrnctis destmendis fiet. + dab + dab- +eba 12fab 12fa b2 dae td at faciendoque d+C p 0. siet: da + eb + fab = fab aequ0 quod fieri non potest in definite nisi ponantur d c. f esse 0. contra institutum loco a et b 1 faciamus l. fiet ponamus fno compendi, causa, et ap. . 3M 13Y da + cb 70p d, h + e, l Em G quo si hinc potuisset inveniri d evanescentibus. l. h. haberetur M vd Y m et Y. ex solis propositu. Excogitanda igitur sunt theoremata emn in aequationibus transcendentibus, quibus ficit ut indeterminatae evanescant. d hoc loca id fieri hac modo non cpotest ergo nec fieri poluisset si reliquissemus nam cusus generalis specialem includit cagentus futer rem tenlemus hoc moio . se