# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00067956:0003 # Permalink to this reading: https://leibnizlegible.com/page/00067956:0003?run=39 # Title: Leibniz-Handschriften zur Mathematik LH 35, 6, 1 # Folio 2r, page id 00067956:0003 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00067956&page=3 # Source image: https://digitale-sammlungen.gwlb.de/content/00067956/jpgs/default/00000003.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 39, 2026-08-27T09:55:26Z — 82 lines, status machine # Lines: 82 recognised, mean confidence 0.69 # 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. video nns eo potuisi e perve here etiam melitera C stmeodo Jutum aeq. 3. eamque disteren edo edende soltendo truncendentia exponentialem. + X s. 1(Y)X. y C differentando fit Sic er =h. fit nlog b = 109. H e du 10g. t = dh:h et L. V= a, y erse y a rexiu a (x)X. 9 b (2) p d 2 dubls . log. b La (2Y) X. G. et sillendo exporientialem pe C et 2 fit e 1 2 e s )Xy (2Y) X. G tog b 3 dEr) X. 9 quae aequatio differentialis ordinaria id hinc amplius NXy _LVX. rx S dist du Ca sit F. et e de + (3r) Xy que (1) 8) er) X. y m. b +p b = 9 posito solam b esse gnstantem, sed m n pq Haberi ut cunque per X, et 7 differentiando fit. IX I 0 22 as 2n am b. + motu b log. b + Abb. + 2 2p an B log b= c. nam potest q assum constans si per et dni qua fuerant pro m et uita s cum transterri potuerit quicquid in ex in constans est, in in et p. adeocu 2 fiet am + manlog. b + ap b + 2pdn nempe aege. 2. divisa per b et fiet utique by be b=- dm = manlogb: ap + Epdulogb sed ex aeq. fit In( d Vc4+ rum = M, : 2p quos duos valores aequando, ti et (67 in de +2mp du l0gb dp + Epdnlog. b Yapotmm potest loqu bponi = 1. + pam + 2pman log. b Reducitur tamen res ed simplen, perinde ac si initio fuitset g. 1. affiusset aeq. 5. seu 1 = F. ut fiat as af= an f l0g. b. sed si sit i = f pF +9. fiet inde et M. M H. Am F 9 M m dn + P. af + f F. p F. d + f l0g. p p at + 19 = 0 et