# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068194:0574 # Permalink to this reading: https://leibnizlegible.com/page/00068194:0574?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 1 # Folio 287v, page id 00068194:0574 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 288r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068194&page=574 # Source image: https://digitale-sammlungen.gwlb.de/content/00068194/jpgs/default/00000574.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 33 lines, status machine # Lines: 33 recognised, mean confidence 0.74 # 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. Hubenus ergo duas aequationes, in quibus solae ex vicogntis (2 4 Z. quae jume proret ita moestigatimus , nempe i P + 2C + tBatDAE, , O ap- D na ( Sun 1 =2D ... Iliae Q. + a FDC ( SO a. p- Xn retc. . pe 2ada 1oX 23, ita, 4 . Ex altera frer: n, 2 Sa c +Cep Bac B C.... a cater n a petque 18 Marera an, sapareere Oa iea n dranoyst a a ta sa +8Fn F= a Junctisque his duabus aequationibus aequalio habebitur nova conlinens solam , sed ad altires justo terminos essigentem. Igitur satius est ebisa n, retimere satuee est oga ofietque ex aequationeem duorum ultinacum piore: n. = 1D8 M .... 1 O a p. d .. .. . .. 10’an 20Y. B p 107.γ 9a p Unde ( - d7 + Baen V. . . . . . 20F+ Oam altra aequatio erit sid altra aequatio non dat vilorem ipsius e) nisi, quande A est finita ideoque nam +, spit infunta in ea extat . adeoque ista inutilia universali solutioni Res ergo eo reducenta e ad esset, ut Teminis secundis sublatis, reductaque aequatione data quadia Toquadratica ad subicamr uni et subtato masus secundo termino, et uno termino eodem facto, non nisi unica supersit aequatio collatitia; multae vero indeterminatae unde plurimae rursus arbitiariae aequationis assumi possunt