# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068051:0077 # Permalink to this reading: https://leibnizlegible.com/page/00068051:0077?run=73 # Title: Leibniz-Handschriften zur Mathematik LH 35, 6, 6 # Folio 39r, page id 00068051:0077 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068051&page=77 # Source image: https://digitale-sammlungen.gwlb.de/content/00068051/jpgs/default/00000077.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 53 lines, status machine # Lines: 53 recognised, mean confidence 0.76 # 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. 1d (1) = ve + Vf+9 sit cd, V, P, pendens ex a valabili pro curvis ordinatim concurrentibus oeet e, f, variantes ex x y. fiet. vamand isferutio secundum a, 7 cd (2) deo C = dv e + dV f ex 1 et 2. fit acd ve + dco If dv C + dIBf qu. 1. Atcog urandi secundum X et Y, fiet ex aequ. 1. fiet 4 Edeet Vde + 1df + d9 =0 ex Exdicari s l v 1b aes unam eandemue citeram, utemn sC avetur ejus valor. oe variabilem a, adhibila stante C evanescet da inaege. 3. et sit duulor ipsius a, quem et tolla, ex ag. 4 et fiat aeq. in quae ce supererunt e, t, g quas esicet explicare per duas X et y. quim et licuisset D, et et 1B explicare per X y ja, c. ea lege, at sola a sit variabilis differentiis eami investigandis et exeq proaeg. 3 scriberetue neo De+dcoDf, daog2 de + edo + 1V + fdip idg Con per a sexplicando per X, y, a, c. sed F solum a). Et priaeq. A fieret vde+ + id sed suffecerit sic procedi ) Cd C 15 +9- P+H + f, ubi c et V, et a expli- icando per a, b; et F per X, y; et m per a, x, gC subi su ipsius in diffia secundum a sit cam semnim ely sit cdm am. Ergo disferentiando n lenum a, fit deo ( P + m+ f = dP + (d) m fiffereuande dum Xey, sit am + dF =0 et explicando (0, , per a, C, et per X, yC, et m per a, X, yC. oclatur a ope aeqq. 2 et 3. (ham connescit da) habe titur aeq. 4 in qua X y C dx dus quae est differentipe per aeq. resolubilis. Notu co et Y per a et c possunt badi irrationalifer nemp co:a perta: c pese resio t c t e in e