# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068236:0012 # Permalink to this reading: https://leibnizlegible.com/page/00068236:0012?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 23 # Folio 6v, page id 00068236:0012 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 7r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068236&page=12 # Source image: https://digitale-sammlungen.gwlb.de/content/00068236/jpgs/default/00000012.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 70 lines, status machine # Lines: 70 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. +5 bb + + ab + v aa aequ. 0 + a + b aequ. c. Ergo per 3 firt b aequ c + a. quem valorem substituendo in aequ. 1. fier: sec 4 25 aC + saa rqu. 0 seu (s) cc + (+) ac + (V)aa aequio. + t ac + taa + vaa et conferendo aequ. 4 et s fiet: (0) (5) aequ. s. (+) aequ + 25 + + (B)aequ. s+ + + v Rusus aequ (- 2]C 4 b aequ d. sive erqu d sine Caequ a d + h aequ. f a. + b. Ergo b aequ f a )d 1f1 ergo caqu (d) + d + a ( d) seu cago + 4d fa1+. ut signis istis careamus, faciliorque sit scriptio, relenta aequ. 1. loco aequationis 2 scribemus +C.) a - 1) b aequ. c. fiet. baequ - 6) c + a. unde in aequ. 1. fiet. (4) 5 5. ce = 2((1) aC +saa aequ. 0. Ergo ob ()cc + () ac +() au oqu. 0 = +6) ac +t aa (1 +vaa () frei: () aequ S. et saequ. C - 217 = +c) et hoego s + t + B 167 sit +() C - () b. aequ. d fiet pro b. substituendo - (1)C + a. fiet et (2) C + (2) (1) C A (2) a aequ. d. et caequ a + (2) d. sed + C) ita illa orituo difficultas, quod tes concununt literae :c. et a erd. at itaque priora resumamus: sit camajor b minor sit a et aequatio saa + + ab + v Bb. aequ. 0. hinc sit a aequ c + b. fiet: s C + 2scb + sbb aequ. 0. (4 + + cb + t bb =+ v bb seu (Ssec + (t) cb + (B) bb aequ. 0. et comparando: (5) aequ. s. () aequ. 25+ + (2) aequ. s+ t + v. Rursus c aqu d + b. et scuibendo (sD d + D db + (v) bb aequ.0 (11) 2) fiet (S) aequ (5) et (tB aequ 2 (5) + (t) et () aequ. (5)(I (V) 0) Ergo (5)) aequ. S. (15) et (1)) 45 + + et (V)) aqu 45 + 2 t + v. (.6) et ((V) aequ. 95 + 3 + + v. Unde satis habetur progressio est est enim (2 (S) aequ. S. potest etiam fieri: C aequ ( ((a) 2 25 + 7+ + v (10) et daequ. ((a) et e aequ. (3Ca) et et f aequ. (4 (a). ono sunt (31) c. d. e. f residua. Et quot residua tot subtractiones seu nom Zue noneu asidatum est esiou nuneus quotientum (nc) Quinto Zeeo eaequ f + b et scribendo ((5)f + (4 (t) fb + ((1) bb aequio Crat fiet: ((5) aequ s. (4(4+) equ 85 + t et (2(0) qu. 165 + 4+ + v. C Rartus: (16) d aequ. e+ b et scribendo: () ee + (+) eb + ( ) bb. C7 (19) (9) erfier: ( ((5) aqu s. (C+) aequ. 8f 65 +1 10) (27) (29) notunda plagulae in