# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068198:0075 # Permalink to this reading: https://leibnizlegible.com/page/00068198:0075?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2b # Folio 38r, page id 00068198:0075 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068198&page=75 # Source image: https://digitale-sammlungen.gwlb.de/content/00068198/jpgs/default/00000075.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 55 lines, status machine # Lines: 55 recognised, mean confidence 0.80 # 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. 1) dy: dx = P: a (2do) aadt = ft dx +agdo ubi v: a datur ex y et X F et g ex X. atio adt = hdu ubi 2 datur ex y. ec Pp aeq. 2 et) fialtossilus: dx = f+ + ag,: ah = (5t0) v. a seu fret + ast ft+ag v seu t = hv-ag: f und e ( 1to) at = fhdu + fVdk = afdq - hvds + agdF,: H = hdy quae aequatio debet esse identica, seu fiet identi nlot afhido tafrah-ad fdg. anvaf + aagas= fshdu sit N = XX +gy prodibit. c 2 fh2xdx + thrydy + afvdh du-aaggad aaf agdx-an vafax + aagafdx= fftodu Et fiet ac 24 nq 2fhx- aa fdg- ahv df + aagdf Et 2 fhqs + a fvdh = Ah =0 C Ex priore quia h pendet ex fiet utique. 2flX a nynds =6 seu 25X = t qyds20 sed quia f et B dantiu ex p, talt ) itaque frustra progredimur si fassit aeg. (3) aaat = et au + ahdy, fint f-0 male Io).ly. dx = f +ag,: et +ah = (5to) v: a rassus ex 2 est t ix far sagdx: W0) E uo log2o sfax et ex 3 est tessez (ahdy. ) Et loge sedy. vel en d) bssae et 16 fiet nti fax ((agdx: bs). similiter ex onsit vel en fiet W L 61 1 12) = b... idus pa sedy) dx) - 1. (ahdy: b0..+ itayu 14) (5. s(agdx: b... Sed haec non nisi in eas curras cadere possunt, quas sicet edu aequave exprimere divisibi divellisili in duas puites 1. sIe quarum una est secundum X altera secundum e sed hoc non patitur aeq. C posses omissis aesqu. quasi omnia 4 et 5 subtatis pro X in aeq. 2 pontre. ipsae F et a perdeant ex Z. Et pro y in 69. 3 ponere eo ut et h pendeant ex co. ipsae anteq Z et Cd pendeant ex Xet y utcunque. itaque in 1 pro ex substitue tur aze et pro dus substitueur deo seu sret