# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068238:0024 # Permalink to this reading: https://leibnizlegible.com/page/00068238:0024?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 25 # Folio 12v, page id 00068238:0024 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068238&page=24 # Source image: https://digitale-sammlungen.gwlb.de/content/00068238/jpgs/default/00000024.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 82 lines, status machine # Lines: 82 recognised, mean confidence 0.77 # 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. a + b + c + a. a + b + c + d ac + ab + ac + ad + ab +bb +bc + b. +ac +bc +6L + cd +ad + bd + cd + Ad aa +2abtrac frad + 2bd +2cd + dd + bb +2HC cc aa +2ab + bb +2ad + cc + Eaf 4. dd ete +2aC +2bc +260C +2bc + 2a9 +2bd + 2cd +2t5 a 2ce aa + 2ab + 2ac + 2ad + 2bd + 2cd + dd bb + 2bc +cC Y aequ. 0. e a hunsferendo dupli catum in sequens semper in oyndicis 19 aequ. c - cd. Paeq. 2dbctabede penultima qua Gaequ O vel ec +cd. 9-0 ducatur i g- cc- cd fit 99 - qcc -9cd aeq. 0. saequ d drati notu est e latus est numerus par, quadrati locus a fine quartus seu penante penulta quq.d vel e c+t cd ugo si 4+ seu si d est 0 etiam p est 0.. si C est 0. tunc p est bd. Has duns Hypotheses complecti debemus (nempe p) est vacuus. una de expressione si ex si 4 est 0 et Si c est 0 tunc est q est 0. si d est et C est 1. si C est 1. et d est 0 tunc G est 1. ........ ...... 1 tunc 9 est 0 si desp 1 quas alternativas tentemus una sequatione exprimere: nempe culor ipsius q multiplicetur per c. (quia si Cest O etiam g est 0.) deinde multiplicetur per Cd, itu enim si C est 1 per c- d, ita enim si c est 1 et des tunc 9 fit, 1, et si c est 1 et d est 1 tunc 9 fit 0. ergo scrive my praeclare. 9 aequ cc cd c- ca Si qqi d aequ 0 tunc p est 0. Nempe ducnpur (2) C et b est 9 tunc p est o d ocb intit fin 1) (3) si d est 1 et b est 1, et C est 1. tunc p est 05 4 C ) Ergo P aequi eob seabetnura e sa pun b.c 2dbea B ea bc tbidC Ergo harimms vde + 1vb + X C ∞ a _ in Vd +Wb ixC I in vathbe et b-C (ut 1t 312 3.5 6 14 it pocoltua fociendo X X dd. d aeq. 0 bb- b aeg. 9. cenc 2g,0 Ct a C qui sunt in mer one hababilu aequalm proo solis eri in venitdsabi metandum, posse eve tum prlo atitum prolem at posset eliam p inolniti exsupposita 4. tothandu i 10. po cuviram a e ut Cb sit epsi L. 3. raequd. quogo 2cd si d est o etiam est o si 5 est a tunc 4 aequ. c