# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068261:0049 # Permalink to this reading: https://leibnizlegible.com/page/00068261:0049?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 3 B 11 # Folio 25r, page id 00068261:0049 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068261&page=49 # Source image: https://digitale-sammlungen.gwlb.de/content/00068261/jpgs/default/00000049.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 68 lines, status machine # Lines: 68 recognised, mean confidence 0.78 # 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. H dditio Dyadica Bilinears ut a, vel B vel)ete formatur e ita (X) vel B) e) et. . . . . . b ep, etc. M, 2, P et ddatur Ut a vel B vel V, erc. formatur ex a, b, c, et; l, mn, etc ita () vel (B) vel (V) etc formatur ex b, c, 8, Ctc; IM, n, B, et His positis erit a = qu (1) β= quee a erit d a = qu Z. 1 β = qus t al N = 12 2A β= + al +(X) -2al (4) a β = quG+ al = qu stal qu m =qu (+bm t ast 2m -2alb =2al M +qalbm Auq. A 1.qu N in l C= V= qu stal () V= (a( (X) Frale (B al gusibn = qu Inqua (() ibm qu ralom +b C Lrban Aabuem bausten lquet e A) quer at E= qu fall Atb +al V) - quo al (C .Et ita porro I = A vrl - 1 ana l= Vata M = (12B- a N - a Y0). M = Y (Y3 + a) + b 1 + al qu G ) tbns C si F, e, C, b, a, et A, g, E, Y, B, a considerentur ut termino duo proximi ejusdem seriei; poterit g. p n m, l considerari ut termiaus seriei differentialis. Hinc datae seriei potest quaeri summatrix. Et _ prima cum differentialis habet primam periodum. duarum coliemnarum, habetur periodus primae columnae in quaesita, per duas hujusmodi aequationes seu differentiationis. Et id commodum adest, quod prima columna per se inveniri potest. Secuma deinde invenietur inventa jam prima. sulem breves illos ipsom X, B, etc valores esse optimos, quia in hhoc calculo eundo de columna in columnam, etium ipsae (4), (3), () ex facile habentur