# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068198:0415 # Permalink to this reading: https://leibnizlegible.com/page/00068198:0415?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2b # Folio 208r, page id 00068198:0415 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068198&page=415 # Source image: https://digitale-sammlungen.gwlb.de/content/00068198/jpgs/default/00000415.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 103 lines, status machine # Lines: 103 recognised, mean confidence 0.74 # 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. a 2 (0021 31 = e_ ovk 00. 11X : 700r - 11C V = - b ( = A - b = -a t - 00. I1 (2M +Y) +, 00 H (2V + M) - 00V =0( 31= aa: (- b a palo)(ab(, 1-1 a (2 = 00 - 11131, 1:, 00+1+) Et 32 7 00 +11- 31, 31., 00 + 1142 Si Non licet facere 11 = 31, nec 0+11+31 =8 et a est majusquam b, et ambo affirmativa Si Sit 11 = 1 fit n = V quod non licet si 11= +1, omnescunt eY fit 31 = l, et 11= 31 contra intentum L2 Si Y = 2 fit V = 2M et - b = 2a - b et b = 2a, quod non licet quia a major. si 11 = - 2 fit a = (3: 2)6 quod a b aa: b = I1., Si 11 = 3 fiat - 27 n - 18M - 91 - 6Y - 3M - V = 0 2943. - (, 9 + 3.64 3) + (9 +6+ 1) V = 0 ubi exanescunt fieret M+VL a seu b - -b, seu b =0 quod non lic et feret d ntY =0 seu BB a b = b seub si A 3 fit 27 - 8n - gr + 6Y + 3n -V = o seu 1 = qV peu quod licet. Et fiet Et fiet 31- 3a:, - 4b f3ae et (rit 31 = 3a:0 quod non licel. sit 11 = 3 fir 27n -18M - gY + 6V + 3n - V seu 12(n XAY - 4V =0 seu 3M, V -0 seu 3a- 2b 2m+Y = 2a - 26eb = 24 -3b a 20 2r- = 2b - a +b = Sit 11 = fit M t B n- 4 n - 2Y + qV + 4n - 8V = 0 fit n = EV et a - b = - 2b quod non licet qura A b foret major quam a et a = = b quod non licet quia a debet esse affirmativa sit a = - Z firt - ( - 4(-21 - 8r - 4 - 8V fint q -, qu + 18V = 0 seu p = - 2V seu a - b = 2b seu a = 3b. (ret 3 = 3:, 3b+a, seu 3i = a : 1 -3b +a et sit 31 = = 1:0 Gerralib s 11= Z sit p - bn - 31Y +3 sit s 18M + gV - 27V =0 et fiet 13M = 2IV. et 1a Bb2-21b seu 13a = -8b quod non licet, sit enim a minor a = = fiat - ( - 6M - 3V - 18n - 9V - 27Y. fito 25 (n 4 39Y seu 254 -25b = 439b seu 25a = 146, et 31 = 1 a: pali ca el C = 1., 4b +a, en 3) = aa:, a 4 25a et 3. 3(-1 ., 1- 50 = 127 l, 2 -7 =00 + H +31 = -1_ 1 7 8+ 1 = 2 Ergo omnia sic procedunt: si rectus 14 est calculus quod repetendum sed ita esset a minor quam b 227) 1g R sit 11= Z firc da 3. 42p -3. 41 +9. 2. 2V + 9. 2n - 27Y = 0 136F 24)2( -12) +18) seu 2M = 3V =0 seu 2a -2b = 3b fit a = == b sed abet gess affirmativa 12 - = = -8 n e24M - 12V - 92 (36V - 18M = 27Y se 150n + 49V s seu hoa - sob = 49b =99b a = b = qu 31 = a: - 5b +Za f 268 a: 250 a + 2a = 99:: 52 II 1B - = + 99 = 11V 1 10 L 99 ut 250 nLWEntHI(2VEA - V idu + 1Ba ipb ( +iBa, b 20 3 6. 13 d.R 5. 13 et lint a: b. = 1( V4315 B, 3114: 1,:, 11 - 2. 11 + 11 2C = 1 a :g - ba + 1b HBD = b + 11 (a - ) seu A2 3 = N.G H k V nanC + 1 = -2 +2 =4 11 a 31 H- 31 = L 12 = 113 1 - 11131 = 272 = Z 2 32 = 32 Habemus ergo 11 = 2 nea = 11 = 1, : a seu it = b - 11b +11 a 9 qu (11 - 1) 1 a 2 2 -4 +2 = 2, h -2 +1 ∞2, L- 1-8 Errgo a : b = 3: 2 1=2, 3 = 3:2 - 00 + 31 + 11 = 5: 2 = 1 + 11+3C 5:2 31 52 tatu -b 1. 2a + p2b( 1bZ 3. 11b - 2. 11b rua = f ub L b = 0) bd 1563 36 seu si a : b = a cab (1 - 1) D : 11 quadr (11 - 1) seu a = 11 - 1 + 2 et 51= tec 31 B 12 = 2:5 11+31 = 7:2 1 +11. 31 00 + ur3I 31 = 3:2 912 5. 2 = B 9 -32 t 10 32 = 9: 10 a: b = 2: 2 a-