# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068104:0017 # Permalink to this reading: https://leibnizlegible.com/page/00068104:0017?run=73 # Title: Leibniz-Handschriften zur Mathematik LH 35, 8, 9 # Folio 9r, page id 00068104:0017 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068104&page=17 # Source image: https://digitale-sammlungen.gwlb.de/content/00068104/jpgs/default/00000017.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 53 lines, status machine # Lines: 53 recognised, mean confidence 0.79 # 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. Sit C + C + C 6 9 9 + 12 C Unde (2) etc = A. _ dA = C dc -c+ C+ C et 12 4C3 ErgoH(dc. C: 1 +C3. pendet ex quadratura Hyperbolae det 4 Arculi, praca qesicate + caet. Nam sit C = C. Ergo ex aequ.. fiet 3A = C +e + e et pari ratione generaliter et dc. C: 14 n +1 pendet ex 4) Quadratura Hyperbolae nam posita C = C. utique ad initationem aeq. 3 et 5 ex aq. 6. fiet nV= C +e + C et oldodo da concluda, sit v = 1: C. fiet utique ilC= = I: WV, et ex aq. 6. fi et y = -s, dv. v a LV. Ea ehodus pro ade Eadem methodus porro promoveri potest, si faciamus m (12) C v = 1:C. et si loco e+C +e e +e +C et. vel + ad hibeamus e + C er. Notandum etiam, et data e +e+ etc. Dari etiam +C +e etc. erga datur qrea figurae cujus ordinata est +e + e+e et. V e artaa adeoque: 213 s 4 c 4 1 et 2.2 45 6.7 45 6.7 et cum pari jure haberi posse videatur et L + L + en. es inde his duobus in unum addlitis S.b. 1.2. 3.4 habebitur aliquid apsolute summabile. Ex his videamus quid elici possit, ut hanc Methodum exhauriamus. Quae tamen initio posuimus, conferamus cum is quae praebet divisro resolutio Nominatores per divisores. Videamus cers