# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068197:0180 # Permalink to this reading: https://leibnizlegible.com/page/00068197:0180?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2a # Folio 90v, page id 00068197:0180 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 91r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068197&page=180 # Source image: https://digitale-sammlungen.gwlb.de/content/00068197/jpgs/default/00000180.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 49 lines, status machine # Lines: 49 recognised, mean confidence 0.76 # 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. af +gtx = l ax AlaZ sit aaf t gyXZ t rafg IXZ = hiaxit L aZ+ ahli fit hl = fg et g = hl : f et fiet aaff t. dahhi. G)X Z = hhax+ l aZ et fiet aa f-afftitix 1: Ussaa atillX et aZ = (5. 1) s(adt- ahlx, iffa - llX) sed ita fit aZ = fiaa: l No E1+ -1 =A t H = (- 9 - 2 - 1 et - - et + = 1(- 21 -1) e t 1F, , -1 = Y(-21-1) et 14 1 - -1 = 1(+ 21. 1) Erg. VCt1) + Y (-2Y.1) = 2. Quod est mirum, et tamen deprehenditur verum V + = +(2 amn + avum ru am + an) = iam + Van sit am = Gx? +GXX + amn et an = - fx + pXY + 9 fit am + an = (9+p) xX + (h + 9) _ si am =XX + ab, +XX tac et an =, X + 2aCXX + aa cc hint A(2a (FXX +uC) NcXtab) B (X) abxX daabe (+ 3) ta c XX + aacC) E adXX = _ (-XX tab, XX + aC) + (XX + ac) si esset 2AXX + raac = (b v) N (b+C) ux tabe t acc faciendo btc22a et c-a freret b c0 quod non licet sit non =fXXt 2fXg+G9, XtC, m = fX+9, 1 = X, Ex + g, tb a+b X+b sit sma = sx + g sit (fx +9 + sX + gl + fXr9, Xtb X+b m = fxx+gxth, K+C n= fxx + gth, X +b X+b X+C (fXX+ 9X + h + sxxaga (2 + Xtb, X+C) XIC XHb) sit am Nam = ( lax tan =(g HLaB) a amtan + 2a imn = f + hsap + g + K rap +2a sat iilesap hlap s+ si h+K = 0 seu K = -h, fiet amran +ratmn- f+g + 2a lg Ah ap) sit lu qgap sea g= f., trap, scit autan= tragot e 1++d. f d tapt 2aF b = F, lrap +1+ var t ap lap sit fCs si sit ap = fg. bih fint (3+ h Sap) + Y - h tap ) - (f. 29) qu (+(f + s9) t (g- ifg)) = f+g + 2 (9 - 5 59 (-59) seu si f = 94 fil 2 +91fg sam = +(F + h sap tan = (5 - h sap) amtan + ratmn = 25 + (2(f. hhap) Ergo (( + G sap) 4 (Fch lap) = 1((25 + 255- 2hh ap). sit ap- 99 fit (f + hyd + + (F =bq) = ) (2t + 2A _ - Elihq9ue) 17