# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00067971:0013 # Permalink to this reading: https://leibnizlegible.com/page/00067971:0013?run=39 # Title: Leibniz-Handschriften zur Mathematik LH 35, 1, 12 # Folio 7r, page id 00067971:0013 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00067971&page=13 # Source image: https://digitale-sammlungen.gwlb.de/content/00067971/jpgs/default/00000013.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 39, 2026-08-27T09:55:26Z — 31 lines, status machine # Lines: 31 recognised, mean confidence 0.88 # 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. propositio demonstranda est s Ex his tribus propositionibus ABC unic. et ALm unic. et BCLM est mic. positis duabus tertia admittenda est ABC esse unic. significat Si sit ABC ~ (A) BC erit A ∞ (A purro ABC ∞ (A) BC significat 3) AB ~ (A) B et ) AC~ (D) C. Eodem modo si si ALM esse unic. significat () si () sit (5) ALM ~ (A) L erit) A ∞(A). Hinc per 2 et 6 erit ) A) ∞ (A)) itaque per 5 et 7 erit (8) ALM C e (1) LM, id est (9) AL ~ (A) L, et AM ~ (A) 1 habeo praeterea axioma si congrua sint deter minantia, etiam congrua esse determinata et viceversa sit ABC unic et LMN unic sed non viceversa AB. unic et CHI. u recta Y recta congruantus AB et LM congruent etiam X et Y, sed non vicissim. Sed screndo estetiam 7 determinata, alvoqui et Y non esse tiam congralient minent eodem modo d endm e 1 ut deten