# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00067993:0214 # Permalink to this reading: https://leibnizlegible.com/page/00067993:0214?run=39 # Title: Leibniz-Handschriften zur Mathematik LH 35, 2, 1 # Folio 107v, page id 00067993:0214 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 108r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00067993&page=214 # Source image: https://digitale-sammlungen.gwlb.de/content/00067993/jpgs/default/00000214.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 39, 2026-08-27T09:55:26Z — 50 lines, status machine # Lines: 50 recognised, mean confidence 0.85 # 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. C25, nd easdem partes cavae sit currae ad tangentes, C, T. occurrunt rectae, T2F, juncta 1C2C, pro ducta, e occurram eidem rectae in M. punctum M indet inter puncta et. 2T. modo curra non habeat puncta reversionis Primum sit cuva ad easdem partes cava inter ex trema sudi puncta tangens pasita. inti extrema sua puncta posita, seu indeo nullo langentium sit ipsi 173F parallela quonim prodacatur ipsa re + e Sunqum 1 C sit propius rectae T2T. punctum LC remotius producta 1T.C, ipsi 2Y~C occurrat in a. uit et ex puncto 1C, ipsi 1YZY. paralleta occurrat ipsi 2T2C in puncto β. ipsa 2T+C, major est quam ipsa 2Ta. nam ex puncto 1C, ad rectam 2T~ C, duae ducuntur rectae, una Ca, attuae 1 C2 C. ex quibus prior est extra curvam, cumc sit punt, C2C, cum sit porcio tan gentis pposterior cum sit chorda sive inscripta, tota est intra curvam; at quae intra cunrum tendit itaque illa minus cum hae tres lineae 1C ax +CC recta; 1C7 rCcurva iCnC recta, tendant omnes deorsum, sive reced ant a nam 1TC est intra d,C cun c M rectam siaum si popibile esset dC M infra curum C Y esse, ut in 1C (M) ab angulo contattus ECS posset auferri rectilineus .X, (() est ergo M remotius ab A quam 1T. cumque recta C N ipsam + porro cum ergo rscta 2CM. p. sam est antem Ergo M C est inter cunae porta Porro recta AVC, ccepario est portionem ad tC pertimentem nbet intra curvam, adeoque alioqui pam nons At Ar C est infra 1C,T ex constructiones ergo Ergi Moc est supla ipsam 1F16, et (iat ex constructione ipsa Are 11 C est supra ipsam AIC, engo rC est cutra ipsas AIC est AC, adeoqT cadit intor s puncta Aea M.) contra ergo 16+ C erit infra 1Ca. adeoque punctum a supra punctum ALE + A3C4 = ALeA 1 AL reA .... ABE~A = ADL = ALAB AZ5. A a 2ADL + 2ALA S Ergo ADY Ap, ALE + AE A + ADL L42 ALD ADE A p A EA = ALE+ ADL ADE AI H ALCA + ABL + A ALA + ADL Ego AE2A + 2 A Dt + A L A p AZEA ALE B 2ADL e2 AEA H rareA AEEA+ AtE + (AD~ (A A DCA)e ALE A(AE AF A DL) ADL ( CLA. Em ABL B AL EA - A E A I A NLF A (+ ALD ALE B AEA ADLCALA ADA + A 1B B AEH A2. CA a.A. BECA + 1BL E1B B A1BLE. CA, A.BA + ALE eBL E B AL ALC L AC, 14 - 4 L, B A B 21L E. et A LE AIB= + 1 BLE - AIBE A + A1BA B AGCA AIB E A + ,BLE 1 AAB LE AIBEA + 1BLE