# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068197:0139 # Permalink to this reading: https://leibnizlegible.com/page/00068197:0139?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2a # Folio 70r, page id 00068197:0139 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 9v); this page is its right half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068197&page=139 # Source image: https://digitale-sammlungen.gwlb.de/content/00068197/jpgs/default/00000139.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 104 lines, status machine # Lines: 104 recognised, mean confidence 0.65 # 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. 104 13n. X2 ∞ 8 + 1B) ac 4 Xx + ab XXtac - a0 + ZV OD+ b_ aC + 2a tO + cY aa aa a ap fit gy- a sit + D = h, fiet y, _8 = aatique + dua CD t taat 13D = quse g161. L. A bc qB taetu 2aeq et quiaio poluit esse fet e = 4 2aa t., 259 + ac = (2c3 (. 1)G p aa est autem D = t =O et fiet aae betia 1)q ae (a: 1) se Ergo sic X - 10+ 10 + 8. 1) 1XX = C F.(0D t au fiet atue + 0D PaD Fir +108 ia 9 stt+t aa 5D +bZ, at +0D + c8 = aet D + raatiD +qaa 3E +8D 10 igaa Ce = 6Z- 0 480 OS +8G lVro + L ahCF1O 1aze 1se 2a 16 AC + 994 Aatab, xxtac -aC + a. trOD + bf, aC + a. 1OD + C4 a1+ ad e d seu aatu + bbGB + ae BE + 4ua a us F Eg firtu hG-B r Sset +62fgY Y(17 vDG AgEtOD Mi 4 s10E 10g d et da sit C = b+C +26B0 4F 26 72fh01 ql0 +2969105 26 fit A2 = 2AG + 2aD + eZ et f+-9 et h 2 49 Manit rationatibus: ideamus an reprocedateum differeatus Ax = 18: 50- 1 10.+8 +d81: 15 + d7 1D: a + 12 + B. en - 4 d19. 1i exin +d ( + 1ED + VOE dat + d H dut quadrimos der(qV: 6) - de Gr. B) + dd, (3 E0: D) H (E B = limas siet d0 8D H ∞ + d5 1 _, te 19 + dQ 1 8E)- d4 1 qB. d .3 +d0 dDY de DGAA dn GNAFAG EDX - 3d8004,: H (01+4 quod succederet si esset in constante ratione ad 3 y fiet 2 2p 9t = 2aq + r X Er +C) F. a Ia prodit aequatio sed in qua non nisi Z et C), u sed ita daretur orum ratio rgo aliud superest X = 0 (45 +.. ni y - si 03 + 7 1e 22 per 4, D, 8 habenus astqe aatiG. + bcgi. 4et = f ( +, 2 4 iatur Spiaius seu prG. D ratD aaa Aaa d XX - bb XX- Cc ac C pudit adest sed ita altius isurgpilim uerpe ad trima X+b, X , X+C, X - b. si sit X = O) + see+ 1p2+ 84 hetet X +b, a = X C,Y seu EX . re = ax ab XL Y X. (X + Ab +aX) X+b et arc 12 X + b = H Xx vR. ta XX aV = Ex v + Aev - 4a2) - x +b X + xt x xxx) x = _ _ to) x = 2yy +lyram) + v Cyy rny t) dy 4 + abXX + ac, dxdx = Z (yy H.. (= V(gy + n..) + V Vryol., gy + n. .), aydus e sitaea ertet gel .. ) detai- p. ) etplitus = auer. voe, quol ap Zs Y =99D +2598 et a dD er + pp24 20104