# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068194:0213 # Permalink to this reading: https://leibnizlegible.com/page/00068194:0213?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 1 # Folio 107r, page id 00068194:0213 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068194&page=213 # Source image: https://digitale-sammlungen.gwlb.de/content/00068194/jpgs/default/00000213.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 45 lines, status machine # Lines: 45 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. quadrato. quadratico gradu erant, quatuor rerum term biniones sex quarum pnedietas 3. Hinc paletcur ista. Methodus sucressent in quadrato equadrato non succedatiin exto gradu, multo minus iu altioribus.) si biniani et cubco uteremu et by si vellemus cubum extracere forent sex rerum binio nes 2415. sed curiu ex his tres quaelibet inter se coincidant, assurgemus silum ad gradum etam. Et ita reducta est aequalio sexti gradus ad quialum. Eodem mobo pro octari gpadus extrahendo quadrato quadialum cum octo rerum sud obinavi bimiones 56, et 28 harum quarta pars dabit Gradum septimum. Error hicredo ve ser ab +be= ae ab in integris an dabile: sit 2 C. fit abebe a-b ergo ac: b = a + b. ced ac: b potest exhiberi in integris. Ased si si sit ab: a+b = e. seu ab = de + bc. seu ac: b a- e resetiam solubilis tit enim ac: b = Z. deu ae = bZ. a seu a = bZ: e quod si ergo b et b et e p siriminin ter se, seu Fb et ab: a rb seu a + b et a seu b et a dob et cesse Z = cf. et fiet a = bf et fint ef = bf - e ubi ponendo f- , sit b = 2e sed tunc a =b quod nocumus. sin b = e + e.f oportet tantum facere et fit b = fg +d. Ergo fit a = fg +sg et habebimus esu +59 + 58 = f9. et ut a et b sint primi inter se potest sumi a = F + f et b = f + 1 eritque ab 5+1 = f 5102 siure 1+6= e 5925979 a a +BS X s