# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068196:0007 # Permalink to this reading: https://leibnizlegible.com/page/00068196:0007?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 1 # Folio 4r, page id 00068196:0007 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 6v); this page is its right half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068196&page=7 # Source image: https://digitale-sammlungen.gwlb.de/content/00068196/jpgs/default/00000007.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 79 lines, status machine # Lines: 79 recognised, mean confidence 0.84 # 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. (x+b, RrcX X+b, XFE, X+ d, productum aequandum quadrat sit X= f Hno s P. 1, m, n P, et si les significant formulas quales 10Z+ 11, +a X= ftlm + g sn + h smn +R ak 7 = (2) on sutot p) = o lm HB ∞O. orp stm Y 2. 000. 012 p S, pr e 30 p mB Ergo f = 2. 000. 01 F 210226113 o mutco Dn. +2. 02073M o a3l im aK= o1 lon +000 pp - ac 023 smn 9=2. 000. 013p h = 2.000. 023 P ors mn +2.012.013l tr a t2a ax + ab = q un +Y In Fs YA, in (2) (21 Sal + 22 am + 23 san G 4) 110, 120, 13 +7. O12. 023. M seu fitm+ giint himnq as 2013. 023 p et habentur f, g, h, H 2. 31. 22a (M +2st al quem tial qribn +2 al 25VA r. 12 aq In + d3 ans +an +2d B ag mn + di AH atm Zaatsm +22. X aat Ama rre at +2. V Bakllm 12. 12. 13agm lIn +2. V. LaL sma +2. V. Ba5ilm 12. V. Lasmiln +2. X2_lImn seu salm+ gunah omn + at =. ut prius, nisi quod pro 2, 22, B ponuntur 31, 32,33 prodeunt aequationes et pro literis ubi citerae p, 4.Y, si t, libeae et t neque invicem ductae habentur et earum ope profligantur ipt aequationes E restant tres, quas ingrediuntur literae l, m, n Hic ope deremmi taut aprum arbitrariarum, 012, 013, 023; 41, 42, 2; 31, 32, 33 quae sunt 9 novem tollantur B, inh n, lin lnd le lmn 10, 11; 20, 21, 30,3) numero 15, explicatione. jam lu min srecta veniendum ad identiva 4 +3 + 2∞i si assungitur ad 23, opus est bi aequationibis 4+31 2+1, sed si assurgeretur ad Z, opus soret 5 + 4, + 3 +2 +1 = 15, et credo non sufficerent arbitiaris si in plicius omnia 2. 113, 123n 2. 100. 112 P 2. 213, 223n 2. 200 212 2. 313. 323n ax+ ab = quadr. ab 12 ulm 4 113 + In + 173 smm + 100 ax + ac ax + ad 9-2 112. 123m 2. 100. 113P 2.212. 223m 2.200. 2139 2.312. 313M h = 2. 112. 1131 2. 100. 123P 2. 212. 2131 2. 200. 2239 2. 212. 3131 2. 300. 323Y 2. 300. 213r ax = 12 ln 4100 pp - ab = 22 ln + 200 99-ac = 3ietm +300 r sunt aequationes octo, ubi tolluntur primum , , + ope priorum 6, ipsae 2. 300. 312Y l, m, n, sed ita ut inveniantur valores ipsarum p, q,r, m, n, sed non valor ipsius l, quod cavetur sablatiane destrnctione.. Restant duae posteniores in ni reditur ad I1, l, jo et destinantur denique 117 et l, rest abit l 20. qua omnia videntur per facile ubi explicalis P, g,r, Rem puginis sequia ious exiquamur eodem modo ax +. Mande Mtaltntdum viztlan Unde