# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068198:0308 # Permalink to this reading: https://leibnizlegible.com/page/00068198:0308?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2b # Folio 154v, page id 00068198:0308 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068198&page=308 # Source image: https://digitale-sammlungen.gwlb.de/content/00068198/jpgs/default/00000308.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 121 lines, status machine # Lines: 121 recognised, mean confidence 0.84 # 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. procedimus autrorsum 14 24 4311525 +14. +24. =1424) 414 =14. 24 2. 15.25 = 2. 14. 15 +. 124 3 23 i4 A. 14. 3i tqq 12 11 040 22 et 20 ita posset inversa ratione procedi detrorsum sed video hoc frustraneum esse quin cum duo tepuii addendi non sunt simpleses, se S et velat . 2. 15. 25. vel proveniont implices a4b = tta +B A+ b tC = +21a - mb 2C atb aab = cet 1a + ib a+ b+ C = + 2 1a 2 1b + EC x ab ab + -1ac+ 1bC ide ex gosequitur quod anib est c non quae est 1 vel 0, sed mu Cc =C. Nam p seuter H + 3901 1 a = 1 b, in 1a - ib = + D a + b - 2 ab = 1a - 1b Cg (3+ (11) 01 = 10 3C0 = (it 01 ∞ = 10 - (1) = 01 = (1) - 1 10 = (1) + 1, unde vel omgis notarum diadicrum uctiae in se minicem omniaque adeunt an veras simplices, imu semper suntiategri percorne Hinc E)ab = () b) (1) = 1) a +(1) + 1) h (ret = Si (ec =1 ol+10 = () in ab in dgadicis e (0- O1 = (2)1 et B =0 iste hoc calculus pondat et tamen es verum (7) G1) veri puntr suit X1 2 et sicti qui sum b) = 100- 100b. (a. b) C) = 200. 100a-200. 100b = 200c Et d (d (d (a. b) c) d) = 300. 200. 1004. 300100b- 30020C t od signa d(a. b) = 1d = tb- d (d (a. b) c) = 2. 1 a - 2 4b - 2c d (d p. 1) C) d) = 3. 2. 1a - 3. 2. 1b - 32c - 3d itaque d (d (d (d (a. b) 4) d) C) = 4. 3. 2. 1a = 4. 3. 2. 1b - 4. 3. 2C- 4. 3. D - 4e a + b = . 1a = 8. 1b a+b +c = (. 2. 1a = H. 2. 1b = 2.c 1b1c+d = 3. 21a - 3 2 1b - 31c - 3d ab + 1ac - ibc + 22ad - 2 abd - 2 cd ab + gac = Ib C jnnando a+b + Ct et et t =,1. 213. 4. 5 CtC. A + 1. 2. 3. 4 Geteb + 2.3 4. Set C b 4. 3. 2. 1a = 4.3, 2. 1b -4. 3. 2c- 4. 3d - 4C. Et in alteram columnam ab + 1aC - ibc +2. 1ad -21d- 2 Cd + + 3. 2. 14 3. 21bC - 3. +ce = 3de o a + b+c +d+ e transfertur de DC)C vel atb + 1C +2d + 3. 2.1C etc) -, b (AC + 2. cd + Z ) -, C (cd + 3C + 4. 3f + et) (+b sat atbce ab - F1 aC - 1bc = 1ab (C 11 ac + 11+ bC ego insole columna est solum quod continet d et e etc crisade e sd Nic eddendo commode non sit meditio. colyobertiae ab +iac = ibc 4 21 ad - 2 bd - 2cd = 12.11 a b - 12. 11 aC + 1. 11. 1bc = 12. 2. lad +12, 2. c bd +. 12. Cd seu ab en abc = abc =0 3os ete d qG ete e et ubi numeli multi plcalor et C ultra numerum utem quantitatum advendarum ebeunt in P 1in 2 facit omt, IIi Z. 1 ab d - 11. 2. 1. abd + 11. abcd B p q2ha Cd + uy2 Rocdd quiso 1((14 rect. () ab (1) vera nitas 15. 15 Cum omnia per summani et differentiam ex pediri possint, possent omitti a et beo quia rursus adhibenta amma et diferentia hujus differentiae et 2i itx porro videtur a+ b in columna eadem est diff. inter a et b +b +C in Eaiem collmua estdiffei inter et ans. (a. b) et iater C. At, sed idem est diff. inter iHta. C) et inter b+ et inter diff (bC) et inter a. non inutile erit hos exprimem inter se conjungi atque confere utr appareat an forte hinc commoda thectertata a significat si a sit A quam b, fore 1 = (1) seu oriri possiat unitati, sn b erit majus fore 1= - (1) sin am aequentur ad ~, b inter se a et b, nihil referre quis sit valor ipsius 1, oc ambo sint o, siveambo sint 11 nova quantitatis C hoc non pevare ortasse dos