# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068200:0058 # Permalink to this reading: https://leibnizlegible.com/page/00068200:0058?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 3 (shelfmark LH 13, 3) # Folio 29v, page id 00068200:0058 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 30r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068200&page=58 # Source image: https://digitale-sammlungen.gwlb.de/content/00068200/jpgs/default/00000058.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 78 lines, status machine # Lines: 78 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. Aliud problema Lex ludi: Ludunt una tessera A et B, jactus habent A unum et B unum; tum A duos, B duos; porro A tres, B tres, et ita porro. qui primus punctum assignatum attinget, vicerit. quaeritur quantibas spei cuusque A (1) 1.6 (4 de 5:6 (2)1:6 de 5. 6 B (3) 1:bde 5:6 (4) 1: 6 de 5.6 sit 5: b = n. fiet B. iun in n n n u n nn n n ne no ni n eu juctus A, B 3 A A 3 1 B B 13 ecc A)a = C d ef gh= () LbRC 2+ y - 1 _ n ∞ - y B. b = P qrs t u- 7 1 2 3 4 5 bex L M N P Q R e 68G +n + nb n n-u -nd y + Z = 1. n. y = Z Sy + S_ n= y -1 y. n = (y) Z. p = (Z) seu n. y. p f v - (v) = y et (v - (v) = y 12X ergo fiet v- (V) = (∞) - (∞): n O (∞) = _ n n+ n’+n= elX n - n n - 1 si esset v = 88 F f arb m. CA n+ n = _ n-b 1- n t n 41n 4 15 12 6 _Zn’ An +n Ln = n - n 1-n Ergo y = pE p F. ) B: 1= n quaeratur summa omnium nF sit ile W et fiat sit W, et fiat (WV) = n W2 seu W - n W = - x. X.1 quae aequatio debet esse identica at Aliter W = n + n Ergo (10) = p n Et) seu sit B = x. x- 1 fiet seu co = (n + cob n sit 10 = n. pet Bed = Be cod = qX. X 1 seu no. 1- - cBC = pX. x - 1 Wo- B = (2 + c0b - β (cet = sed debet esse (C0) = 1 + cD non ergo procedit nec β calculum ingreditur co (C0) sit (W) nd - n + n - n ) = pX. ~ 1 sie fiat fiet nae- sit efno = pX. X- 1 e n - p + na n(a = 0 fiat 1C n = n san 1- e n = n seu 1 e = p: . jam S n - n = 0. siu a = (C0). seu jam L l C0 = X X 1 loge + logn Co = X. X- 1. log. n seu cd = X. X- 1 log. n = log. e, log. n. seu Co = . X. X . 1 = log C: lbgn noste Ergo (10) = ( ∞ a = X+I. X. = loq(C). log. n Ergo denique 1 Xi - 109)4 fog b. X. X ed ita vix efsici pe ut e sit ostun unde nova difficullas 1 n y quod verum sel 3