# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068206:0028 # Permalink to this reading: https://leibnizlegible.com/page/00068206:0028?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 15, 4 # Folio 14v, page id 00068206:0028 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068206&page=28 # Source image: https://digitale-sammlungen.gwlb.de/content/00068206/jpgs/default/00000028.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 160 lines, status machine # Lines: 160 recognised, mean confidence 0.62 # 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. X Xian dd ax d 177 Vieus du at d XV YI X dus + y ax X du - Vde d 1. X, 1Z X dx rax Xyy Cx 2 de 2a-2X +x II 22 rax: xX x E ra L e + 1 rx +hao 7 yn + fey trax +2ao - nax 2ydy X + dX (=XY) (+ X 1) + y (X + X dst Ax Sy 2a x. -2X x 272 id est b V + dy =XV + XV dx rax -x. sy L E asxe ad X+ d.s X Praxriadu dut 2.. 2X + 2 dx a -d +c - a - d + C - aa +dd + cc +b6 Xx xax + bb at x tff B ex Vd eb c - X a 5b-X (X E defectus gebrae quod cognita cognts k. 8. 6b x X na +VX involvit quaerayus eotimedebet vera bb-na xXx 1e. e po tis b 6. X eD a + E F b + t Polu Etum Bd m si problema ita foreuts inver quam FG aupasive ta smis invenire duo vilusula CGita ut sit FG+ FC - CG junc xhyfaciet EC non ed essismulis Yob - aa X X sit calemu. A destan gule ABH E sutis facet tam pat D dilo G. d8 1 + so ∞ + a e er enf(cdD(d o- e tr 0-0 . D C (∞ n ee =1 C8 0 c 2 ac 5 + i s i u 1 so 3 s 12 e de v d s e + 00 s e e8p e ∞ lont e eE d e C ∞ 5 8 +5C.= M. 26-i CDnb GFHX L D 2b. LdG, 2bX GEsa 201- Xx x aa LDG- GF GE p, a XXiX rbXaa c 2bX = X pa A6 + Yb - aa quaenitur X pure invenietur X esse aequ. BE - BK id est b = BK jam Bk p BF = K p Ergo XB AC duo videmus primo quomodo X invenia bar b- Rcnc .1 s bo-aa radicem tantum indencta oo quattur non simm prures alias caleulo per meras cognitas nquomo non pobationes facillima netrotus est tis, sed exsolis coruris quaescla determinanda. d coegope statum seu A oleor quaditus sinto quod do sit uit p alia atur ctraessitat b- 6 a con efiam ba conner. lo nin se as n e