# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00067993:0359 # Permalink to this reading: https://leibnizlegible.com/page/00067993:0359?run=44 # Title: Leibniz-Handschriften zur Mathematik LH 35, 2, 1 # Folio 179r, page id 00067993:0359 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00067993&page=359 # Source image: https://digitale-sammlungen.gwlb.de/content/00067993/jpgs/default/00000359.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 44, 2026-08-27T14:25:39Z — 63 lines, status machine # Lines: 63 recognised, mean confidence 0.80 # 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. ee et BF, BV V sit arcy circauti calio CBA mimor sermicit onferentia. CBB BA. et Cdud X + Ergo Gd 10 X2 et AEF, = AB. EF = DE unu FBG rectus. AGB nini cBd V G. BDHX. BAB YEAX DAP SLA -X ACF Z traX A Res DEp (2aX - XV + = Frax et ejus pars ioma cui Exp + Srax. X + = +2aY en DF Z Var -X + 18 thax e BF + 8 rarx + 2aX = 2sqa- rar = +a - 2ax . + (2ar - , v + 3 CaY G0+BE, BD + DE = BD= de NDA,ZDE DE l9srax +6 hur ( 5D + D5 1 e raxC 1) q car 4 A FAa- VaY CI de rar + 4 X Faaviar Sd H pF Ergo GD + DE e set gie 200 at 11DX Saa rax 100 + 40a 4 at- i et Mar r 19 siar nfraerer qtra poly orum ciculi edes mne vlo Vato si fingatuo valor sectoris in n senerici convergentis in nuneris tatui aemo mollam serie potet, an non eodes modo componatur extermis convergentibus. Idea ne ad kerc iiscor quidm servit id 7 aequ. Ab aequ se et caequ. ab. Ergo a aequi ab Z aeque bcZ ab b ab aequ ab Z+ aequ. be2+ B Ergo abzzue equ. bc2 + bc ab B aequ. Ergo ZZ aqu. Ergo ZZ aequ bc = ab equ. 1 ab - be b b7C7 + a redimendo: a (t b Z2 + ab aqu ( + C Z7 + bc et fiet aZZ + ab aequ czZ+ bc. seu fiet: bc - ab aequ 7Z. seu Z7 aequ- b. a - c 7 a + abZ aequ. b + bCZ ergo a + abqZue aequ b + lc ZZ. Ct fiet a - b = aequ Z2. jam: Caequ. ab. a -b jam bc- ab fiet, 2Z aequ a bb = ab pro a substitue in aub fiet bc- ab - b bc - b0 seu fiet: b - bc, seu 1-c itaque hac bcc - bb cc-b ratione non habetur quantitas, eodem modo composita exa et bquo exb et 1X0