# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068196:0688 # Permalink to this reading: https://leibnizlegible.com/page/00068196:0688?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 1 # Folio 346v, page id 00068196:0688 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 345r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068196&page=688 # Source image: https://digitale-sammlungen.gwlb.de/content/00068196/jpgs/default/00000688.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 46 lines, status machine # Lines: 46 recognised, mean confidence 0.81 # 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. pertis ergo l, mn, et determinatis, habebuntur p, 9, r, 5. Et quide explicando eorum valores medios, aequalionum 2, 5, 8, 11. Ubi pro aequ adhibe bitur primus valor ipsius A, pro aequ. 8 valore conder ipsius 9, sed pro aeg.5 valor compositas. ex atroque seu summa valorum dimidiata pro aeq. 11. pridu loco gg productum exdiobus valoribus ipsis vy. ax+ bb = vY ax+ CC = 9y Vax +b. -1, fax - b -1 = vn t 11. 1 3, a 5 a lo 1530 lin ap = 2 ab m = 2 Cn-imp. =. rac (= 2ab + nP, : m aX2ad + nin: P haboanpp =radm tmmn ax+ id = d) fit x = ∞+ b, v - 1. = 9 +C, 1- c = drd, Q. d - lump veb = tmnogr vtb = ln v - b - np yt c = lp y c- mp v.. 21a - ab = np + ab 2 = In -ac = mp + ac Z = lp - ad = mn + ad ln = ab = 10. 20YY Z1d = lp 7- d = mn sit l= 10F4 na, L: 5orL 510. 20r + 21 a, 50r + f1a 40r +41a:3 dor + 8l a 8 arbitrarias pro qaeationibus 1= noteab, :m = mn +2ad, : p app F rabp = mmn + 2adm fis n = 2adm. 2ab p sed ita habemus tantum extonim = 2admp. ratpp + rabxB -rabmm, :, mpp - m3 seu l = radp- 2abp2, . , pp rum mm = sp l= 2ab P p L 2abmm + 2admpL. 2 abpp in um -R= Eadm - 2abp, : mm- pp seu (= aod p - 2 abm g. 1l perunt, ut permetentur pet m nempe valvet 207 +31 a,:, 3or + 71a oa + 11. 2aa = 30. 40rY + ySa + 31. +aa + um valores let in sulici tou in ag. Ex nad In-inp = rac n = 2adM = 2 abP,: pp. mni mppa m et -n, ita M = 136 10 15