# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068198:0220 # Permalink to this reading: https://leibnizlegible.com/page/00068198:0220?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2b # Folio 110v, page id 00068198:0220 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068198&page=220 # Source image: https://digitale-sammlungen.gwlb.de/content/00068198/jpgs/default/00000220.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 59 lines, status machine # Lines: 59 recognised, mean confidence 0.77 # 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. (X, X b, 2LC) formula est, quam explicatione aliqua deprimi velim ad foinculam non si secundi gradus Si sit x = hh vVF AhFV+ aats, ia vvrirvtrr tid - b = hv+as + (ver Sab, hv+as- (∞+ Y Nab, : A (V+ Y) et X- C = het aF + (vr) tac, hv + af - (vtr) Jac; aquer dit v, +af+rtab, v + af - r tab = x- b, a qu (∞+Y) h. Tab ba h+tab attrtac v+ at- Ysac hitat h. tac tin-ab =X- C, a. qu vr) hh-ac si esset af+riab at-rtac fieret h+ sab. h- tac (t.h) +tr Vab- at tacC rabe sastu. hriactat sit hr, lac + fab= at. tac + Vab, quod non licet. sin esse es trtab: hato= at ervee: htvac, fic rgo afliaf sact phrablra seasafiaberh vacera) af liac 1ab) = x l tac. nt) quod ekiam tonicet Ergo videamus an altius ascendendo possimas consequi quaesitum. Redipus ad Y(X, X- b, X. C) sit X= quadratum a hootatreaaq qV+rotat fiet X- b, qu (vura B vv atirsabvi V.d= hh- ab et fageatiio e aptatia sb oriac aapratiae af.ri ange aac xac ousvvererat) 04 hatac hitac h.tac Unum quodq e his Compendio sit ha- ac grtio a B+ab niab a h.tab trao O= vetlotam B = vet Avtan D = wvtphtaq Q= vv trb+ aK h- dac O = v+ =l - (ll - am), v+ =l + VCZH = am) = 57 S = v+ : X - X(4M- a(), v + Z 2 + +( d A - a (2) = B) D = v + Ep = k abp- a4), v+ = P + Y (arp - a9) = hY D = v+ = H = (ZNI- aK), 0 + ZN + ((L NH - aK) = 2D ut ergo (X - b, X - c) seu (, 6, D, 4) depirimatur ad formulam decundi gradus sub vinculo reliqua Dec et seu ut deprimatu sic X(v 7B731 18) fiat fiat 4 = B et 1. d= B et I = I ut se = D. priores dua exhibentur pag. seq. 3tia restat, secundum quam freet il H(illran) = ZCara 10