# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068010:0004 # Permalink to this reading: https://leibnizlegible.com/page/00068010:0004?run=73 # Title: Leibniz-Handschriften zur Mathematik LH 35, 4, 13 # Folio 2v, page id 00068010:0004 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 1r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068010&page=4 # Source image: https://digitale-sammlungen.gwlb.de/content/00068010/jpgs/default/00000004.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 35 lines, status machine # Lines: 35 recognised, mean confidence 0.93 # 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. sit - a = f. Jam f- f = 0 (per 3) ergo pro f ponendo aequale ipsi (ex hye) - a fiet - a - - a = 0. G. ED (18) TSeor. - - a = 4 a Nam - a = - a = 0 (per 17) et 0 = - a + a (per 11) Ergo (per 5) - a - - a = - a + a Unde utrobique addendo a fient (per 10) aequalia + a - a - - a = - a + a + a. Et Min de (per 1) 0 - - a = 0 + a seu (per 9) - = a = + a G. Ei. D (19). Theor. - + a = - a aut + - a = - a Patet ex 8. (20) Icor. In omni aequatione livet nembrum abjivere ab una parte et signo contrario affertum ponere in altera. it f+ a - b = h. divo fore f= h - a + b. Nam in aequatione (ex hypot1. vera) f+ a - b = h adda- tur utrobique- a + b, fiet inde f.+ a - b - a + b - 3 - a + b, cd est per 1) f = h - a + b _. E: D. 21) Explic. Guod de formula sub vincuto comprehenra signifieatur, intelligendum eet, de singulis men- bnc vinculo conclusis ut )-(+ a - b) Nam f + (a = b) = f+ a + - b = vel - ta - b signifieat - (+ a) - (- b) seu (per 8) - a - - b idest (per 18) atb. erd tatis + a + b = +m. (22) Teor. Addenda ascribuntur signis retentis, seu f + (a - b) = (per 21) f + a - b (per 19) f+ a - b (23) Subtra- + (2a) - (-a) = 0 per . .. ergo (per