# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068199:0273 # Permalink to this reading: https://leibnizlegible.com/page/00068199:0273?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2c # Folio 137r, page id 00068199:0273 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068199&page=273 # Source image: https://digitale-sammlungen.gwlb.de/content/00068199/jpgs/default/00000273.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 34 lines, status machine # Lines: 34 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. pro langentialibus quadhaturandis aequatione Data Formula per in qua a, y, X, dy, dx, sumatur valores ipsius y et ipsius Xx. cam assumtise, et in quas ingradiatur lrtbra litera V, et quidem ita ut ut in formuta data evanescat v, manente du. habetur quaesitum. A dy aequatione Aliter: data formnta in qua a, y,X du assumatur valor y et X per alias sed itant utcmqe ut V, Z a, sieat i pro literis y,X, dysdx ed ubitiluenio valores pra neseat a 13 dat a= Xrg, TX:7; Ly: dx eat a = XiZ1V), a= y; Z;n Ex 2 et3 habetur dx: dZ = dz do: dz; X. Z: v: , ex et dua 23 av.dz. 109 + 32nC Ergo frel dy: dx = dv: dz; X, L. Z. VC: dv: dry unde a(7mo) a = X ap:ar d ∞o.L. ne dvidz; Y: LiZ. V ex 2 et I ft 18) ubi abest a et ex 2 et 3 fit (9) ubi esiam abest a, hinc habetur valor ipsiu X et vator ipsiusu quo substatuto in aeq. 7. debet tolli simul posse a