# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068198:0259 # Permalink to this reading: https://leibnizlegible.com/page/00068198:0259?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2b # Folio 130r, page id 00068198:0259 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 129v); this page is its right half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068198&page=259 # Source image: https://digitale-sammlungen.gwlb.de/content/00068198/jpgs/default/00000259.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 104 lines, status machine # Lines: 104 recognised, mean confidence 0.75 # 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. = v vo ex torfa = aacx a= Eaa vextab, oetati aagx Fah sed non licet hinc obtinere quaesitum il Sextab dx Soe tIXHX X, X+L, XEm, aquadratus debet esse ∞DD Z w CB 4G, xam-OBY x = ∞ 904003 xit = ODY xam - 0) +8. ita productum est quadrato quadratus in sic eL F - axtl = 07 axtm = ) Ergo a l = 07 - d et a = OD - dq fit 4 = la: C - D = -am + 03: et fit aln_ = -am C + OD + am D - 0) se +al d+ am am sit y Z C v = sBWXTa yH = (20X +1 Z = 130X + 31 et fiat D = A ele et bvy + c vD F d A yZ + P R f. =g +h. XX + bx + ac = XX + 2Xy + yy fit ac - yy : 2y- b = x Lax ibx tac = stx + y = (et B ab = X 62 ac(y + Eyy - by, fit 2y -b 2y -b yy - by + ac 2y - b et b+x = b + eb X + e. e 1 sC2 p + e. P- 1. eit (e. 3 X et C sit e = = et 1. 2.3 xX frit C - 1 = - C-2 = - 2 C- 3 = 5 et fut (Ibix = 1b + X ∞ L. Z X + L. 2. 3 X etc seu Y bix - 1b + De b+xr = b+ X = 1. 2b5b X ex 152 Ib 21b X (dx Y bex = Ab X + 8X 2it ax 2baxx = sbx aa aatih a + b + c + d en ax bx 1 6x + dx in ax + bX + CX +dX eu ite C 3rC 4e ax a 21b - 1;1. 1. 2. 3. bb b x 1.2;2 b1b = 3 .3 + b 1. 3 4 Er (Zx Suzex- 1.2.3;23 X 1: 1. 3.5 Es 12.3; 27 b2 sb + erc 2.32 1.23. 4 C6 eQ xamex B dx ax et b = b1b ab Burax +su apdy Sit v = sX et Z = Lx x EXx + ab fit du = de: 2 tx et dq = x: SXX+ ab ergo VdZue = Xe pxrab SX+ abx dx = et ydo- Xax ab eta Dar C Egofit fx rabi= x + is. (ax sextab) ax vod. Se 5x-yd 2yyax + sxydx Sxylx = ((Xdys dx + (sy ax dx 1; eu 1t 56so s 1: 1.3.5 xtab + 1i 23 1. 2.3 4I6 2; 1.23 VSb e sxylx =. (ydx dx. sed nnverse 13 bexseinc hne suige. stao do 231 386 aX, 2 2t0 = generalif at sentsuu lo suido=Sspavdo 3 Sex + ab + Sgxaat (ex + fa