# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068198:0398 # Permalink to this reading: https://leibnizlegible.com/page/00068198:0398?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2b # Folio 199v, page id 00068198:0398 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068198&page=398 # Source image: https://digitale-sammlungen.gwlb.de/content/00068198/jpgs/default/00000398.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 46 lines, status machine # Lines: 46 recognised, mean confidence 0.79 # 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. 29t6: aa it y = SCErx + XXX = Y (arquaa = 4rqutHt F r499H,:, a f raaH + +Y XL Repetamus: Se2 jam r9= a. Ergo fit y = Y(4a H:, at + 2aa H + +4) = 2adt:, aa f. H seu y = 2r9t:, aa = +t, unde y: x = Y it d, C0 sydx = coydx + deo sydx. Ergo eo sydx = scoydx + sdco sydx seu Coydx = co Sydx = sdeo sydx. sit c0 = Yab + cX) erit deo = cdx: 2Y Cab rex) Dquia X = 29H:, aa + H fiet Ylab + CX) = + (abaa + ab H + 2cgH, :, aa +H, ab+x) = abaa 4. ab H. sed non licet tollere H in numeratore (sit co = s (ab + CX + fxX) erit deo = Cdx + dx, in Hab tex EX) = fA9q X a at r. an t + A. (a + raat + +):, aa fH +29aa cH + 29ct lc +4F99l paciumus radicem extrahibilem, et sit aattab, ab + 2gc + 4+ 44)= (aa ab + qade seu ((ub + Cx + tEx) - + (ab F aa L F (a a bb 4 2 absC + 45b94 = (ar b b) + qucc. seu b= 9cC:, ac+ 4fg., el fit co = ce S(aqce Y 2acex 4 2acfXX 4sCqX + 4fg Xx Tab, 2914 = 9c. seu ab 2if: a = 99cc 9tt + 49t si X - 29tt:, aa + t, (ab + Cx + S XX) = Y(, ab + au + H a aa raaH + 2 (ab at + rabaatt F abt:, aa = ++ + 2cgaa H f 2cqt XF 494t ut ergo numerator sit extrahibilis comparetur ipsi gga + 2gaah el erit 9g = ab et hh = + ab 4 2cq + F 49. jam ( Dgghit = a aab b q uaiqg et fiet sant ee seu aubb aabb aubb p aubb 2cg9 + aabb 16s gt C e c ja seu aabb) = 2c4 ab, + 4F abqque = (a abb (4 2 ab cq + ce4) e ad seu fit ita lenim et ab = acc: 4f sd hoc non licet ((2 rX + rXX) = _xs Coa (+) _ X Z: a et 2rX + Z XX = X X 2Z: aa fit 2Yaa 7 aq X = XZZ et X = 2r qaa:, 42Z+raa sed ita ex diversis datis non potest prodire idem valor ipsius A 2YX + X XX =