# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068196:0314 # Permalink to this reading: https://leibnizlegible.com/page/00068196:0314?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 1 # Folio 158v, page id 00068196:0314 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068196&page=314 # Source image: https://digitale-sammlungen.gwlb.de/content/00068196/jpgs/default/00000314.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 115 lines, status machine # Lines: 115 recognised, mean confidence 0.68 # 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. (9H - ndp d7 + d, 7 = b rd E H e, Lullus E+ b∞ d bb ). b d, = dd7 + bb 3s = d4 F F 1d b: y = A B 2=9 B) un da + Woin non pant tent = _ uo) vu2 = vor- ff qui eysstu in nuy au a2 d cb+ in d imuroreti 0 = Y+ in + um y + nim iqu y- b2 6) y = d2 D b. = d p bat ildib + un 2 + mio = 1 +. n β ba + i b + undet cid = a ui c b + n d injuoent o- By + i, + unget lunc b ro un XAp Y bb: 7 = y 1 62 = y r) 4+ tumy + mb v + in j + umbrtum B. ih +b = ( Bt (u + 11) 6x u U BV un 79n ff-v0+ Aguitsuyb 0 = 3 n.in res conubuarur 13 prut . 3f - 4qu = 49 uos 15-v0t 3B - 127= f-vob f - vob = b2 + y vo = b H - vrr = y 3 10 = y 4) = -1dt 1, 031 p) 1 = B04 vv +1 = pB9+ Y∞ 3 fret - v+ =B Arvu v8F f = y fs - v- Y B- vrt) nb b2ty 1g = BB uc yy+ ybB = 7. + 1d kbC+ 94 =bB nos yb68 - y4b b2H + (9n = b2 11 62-9 b2ty nos 2- 91b2 +9 (brt) nb Hgy ub qeo yB. 1 X o Sypsplig yuyge gdessingi uonBtss - as (es) (vvV. Si dub l4 4) HB 127 Ohor ar etir ve t . 30iffrg svB)-suvet, fi (ay- () qB quis C hor Ho atru s, v91Dss vgrt fo _9M ( V91 - 218 31 D 1f29 ) f9gv = yb- H vd. id itsoo - 3s 1 ∞ , = 355 - 1qu 5s nnV 9 + = B V (∞91 + ssuvR F)99 V = sqqu e. f. H208 vertsunque ver s = br+ y Mt s - ssovet 8) forus vB), 5 t = 62 -y B2. y b2+g y H= Ly B nos bb+- gu ybt 3) (9b2- 1y) ub eb nds Xxot Iun = (ibo2 - 19r D ett 11 + +HBE F uum ∞ ts bby- qy Obbr -yy yboB. quo + U jbot-jyn2 F uut rhuro Sp.g. ng Vd uof sicopu) 120) Xse vyvaomna 109t Rbt-gy BbH - qV yuobx-upolt -ncctlict opootuurtumqque = quo Fujun2 tungus + u jo + u nq + Un eN 62+ 0 = 660 uu 66+ Ety cy = 1B yient i- 15 codv. 553 t inquod uutobi t mmor bin JqV + in (ff vot) quo + uru (suvg- vB + SF um (S5. mnot on un t Cont. H effrv. 3 - xbr + v g1 - 5+ + u 62 3ff- nosso- fE+ - B fv 2 oo =H C ui mo t =q too 15 uut ffx mngsssort uni + umts on = uru fa 49∞ + inqu+ + V t tris mnsurtur imporjuta nu Amuomup Bti t srg- Am- 1D1 V = uubo Ho09- Eusy u agvat s 304v+ iugun + un rog tmuvr= uuefft ddon qund quo un in v2 =df mogm ingguneyura; e 1ef ajum + vuget umpdsoE + ddvo = (umpS + do) 2) Bg suxctum f s) syignova d9n ucp a a in guinah von Lynopi fusser 202 apemecib qu’ao sumv op 1st umpbiuvot + 3∞ + uuquot unvous t uuvB = 3 D + XX9o + X etuu uu uo qnn2 + mup iuvot + umovust unuvo = X r uup vo + uv = D XX uu gut Z uop + Uv = X quo). O∞ + XX gV + X, s = hV Sumta jam sunt 12 = 0 22 = 32Y9. Id est 32 - 22 a: vague 11 = 2. 21rg: f, - 2. 31g. G. Sit 31 - 0. Facit 1- 2. 21Sg: f id est 21 - 1f: Zraq 10 = 2. 20rg. f, - 2. 309. f Sit 20 =0. Fact 10 -, 2. 209: f Ed est fiet O = 10a +1 Z seu 0 - - 2. 20 ga, t 1fZ,:f D = 21Z +22V seu D - 4 fZ. 2Vag 11+ Z +2 RZ + 22B D = 1fZ: 2h. + 22v seu D - 11fZ + 2. 22ho,: rh = 30a +32V Faut 30a, + 22av.h seu noah +2ZaB L,:h = Y evia vero 1. 22. 30: ad huc sunt arbitrande, ideo uti illis possumus ad denominatores ex his valoribus tollendor, excepta Uenitate seu a, ponendo 30a = f 1a = 2h, 2E a = h fi et 0 - (- 2. 30ga + 1 f . f seu 0 - (-2. fg + 11f 2. f facit 0 - -29 + 1E -(1fE +2. 2240). 24) Id est 0 = - 2g + 2hf Id est Dafa. D - (2hfE + 2. 22hr): 2h. Facit D = f + 22V ro Radice, rag scribatur Facit 2 sk 21 = 11f: 2k