# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068261:0045 # Permalink to this reading: https://leibnizlegible.com/page/00068261:0045?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 3 B 11 # Folio 23r, page id 00068261:0045 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068261&page=45 # Source image: https://digitale-sammlungen.gwlb.de/content/00068261/jpgs/default/00000045.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 157 lines, status machine # Lines: 157 recognised, mean confidence 0.75 # 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. quaeraturque cisserentia inter a etb; dueB lec set differentia inter hanc differentiam et c) et parsus differentia intercum d hium est litera sed differentia ab abe d s at B CdGG= eF ec si sint quantitates quotcunque a, b, c, V, etc. nox semper. Quod prodire sed _ si a, b, cd, _ e M nil sunt aliud quam 0 et 1, res procedit. (q. b) = aa - 2ab + bb quadratum diffcentiae ( ( ub) = C) = qu d (d (d (a jib.) B C) edsd Eb = eC a- b. + a + b Lc a = c 11(+) a (+) C (+) b si hac si foret fa +b + c foret 4: (7)1= a - b -c bQc + b +e +(b- C) + a Fb Lc a = a tc - b ergo diversimode procedendo non prodit semper idem 4 - 2bc AB + 4bceABC aa - 2lb + bb + CC d (a . b) c = quadato _ Aa B dif. a 6. (a- b) +c ) (a C) (+)b ac- b ab edqahe et d st (a.b).. C) = d (it (a.. C) r b) = d (d (b. 5). a) cB 15 7 = 8 8 + 2+ 2- 8= 15-7 = _ 1 21 = 8 = 13 4. b. C + =(+) a +c + b forat + a~ (+) str Atam tstua) seudten s) lel2 quantitates assumsissemus, adeoque non semedis 2 - 15 = 67 7-6 =1 21-6 - 14 3 iater a et b 1b (9). dsd lcd 54 = ds d h. B moem prodit acc si alio ordine processissemus 215 15 de ex hibus lec + a ba dsp. _) eale ca el E b tab 2ab Habe ta abe -gabel +bm 1 bn t +4 abc +a b rabc 1atbtc zaba dde d Habc +ab +ac + bc ta 2ab atbre ab 2abc -ac tac +gabc habe arbrens rabc eal +4abq= 2bc ACa bebircs) -2 (abd sbic tabe +ab) igabid Babid potest hoc appli cari ferentialem cartulum, ut L BA sit najortiminus, et proponeminor sit et Va eut differentia etc h. m pro diffuntia pote hic ad hiberi quadatum AB A ponatur A, B, ea et et ab, et esse aretiam datum. sed lmer Aedua subtrattios ebitur Regula Additionis bilinearis C c b a + a e 14d Ia 1 la epdsi nas bmali lserEq jendiet dsbrctio d en A l dendso sisst En alds ahapumalin d alaq d n Er ful or bm lin u =a ()d q) =ssil vis 1e I(B. puus dpossisei tonere qu A~ dfq B= d sa C= fd Lat (A, E-alB (A) est prima summa promitat Rab, C tc; l, m, nesc (C) (B,.. sennda ... . . . . . 18g to b, c, B te m nip, etr atia alaqsa