# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068207:0153 # Permalink to this reading: https://leibnizlegible.com/page/00068207:0153?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 15, 5 # Folio 77r, page id 00068207:0153 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 76v); this page is its right half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068207&page=153 # Source image: https://digitale-sammlungen.gwlb.de/content/00068207/jpgs/default/00000153.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 91 lines, status machine # Lines: 91 recognised, mean confidence 0.85 # 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. Repetitio Tabulae Ad Unum Nomen O = d =a Ad duo Nomina 20 = -2a tac. (0) = - 2 (a b) per 7 D- 26D = (CD) Ad IV. -26- 46ab 20D = ) Fac. (D) = - 2abc OD- 20DS. () Nomina tac. (C) - - 8a 2) -103 = - 2ab2 Ergo () = +2(abcd) Ad V. = 20 = + 16 abco 5-280 - (80) Komina. Ergo (0) = + i abe de) 50 - 20D5 = (7) Ad V. -20 = -Dr abede -20D = -2 abc (07) = - 4 abi it, 20D- +Babed -20D - 8 abea 2002 ) tacil 3+ (ab) per 1 205 = ) Fac. () L abc d 2005 Odibabete (0D) = oabide) (67 qabide) Nomina Ergo (1) - - 32 abedef) 208 - - 2oabede. -207 -- 20abi de (D) =gabedet) (05)- -20labedes) 53. 2038 -60D) Ad VII. - 20 - 169 abedef. 0- 3rabedet OD - +10 abede (07 - + opbutes) D- - qabcdet 0D. 2oabedef o = + oabcdef o =bidet 8D- abcdet Nomina Ergo (1) = + 6gabi defg 20D - + quabclet 20D - 1quabiies - 20D 20 -200 - +irabudes - 2006 -0 D) = a(bedefg) (0D) = +3babcdesque (0- 20 abidefgs) (90) = 2e sabide fus (5) - - 9 adidefg) (C) D 9) fabrdles O0D- 20988-8) Denique patet Literas punctatas ubique saltem pro Numero Nominum apponi verbi gratia: Ad I Nonuta emlhen ubique ponitur abedefque 13) vero jam sine calculo presupponere porsumque 8-205 - (80) Ad VII. Nomina 0 = + 64 D = +8. OD = + 36 8 =20 8O = 22 D= - 6. OD6 = 1. Ut modo invetu 20 = - 128 0- 64 Ad VI Nomina Ergol C) - - 128. - 20D -- 7 209. .72 20D0=-2 -260. - 4 - 2095- 2 -2035-- 0D - 36 8 = -20 86 - 22 8V - - b omnibus lic apponatur abcllesql D = - 8 (1 -64. (0) = 34 (09) - = 64. (55) = 20 (0D8) -- Ad IX (0) = +256. 0 - -128 3 = -8 0D - - 64 8 - 34 80 = - 64 5D = 20 20D- +128 -208, 128- 201 - +16 -250 -128 -2030=16 2016 =16 -2030f-0 280 -0 (02) = 120. (5) = 48 (50) = 162 (021) - =. 48 (0)5) -36 (8 = - Ita ergo demum ad summam calculi facilitatem penetravimus atque e nata inde tabula est seorsim aliquando communicanda. Jam autem inde simplicium Planetarum Systema exscribo tale ad sedeum Nomina Ausem pus tria sit loeet secunda post ia sit locet +48 abc. hike H6 abus 4330 ab. tlm - 164 abedunlm +32 abu tbu 792 abc, plum 560 abcnulma =17 ab u Xlan - 135 Z abc ulmno - bg abu. 134Z abc ulmnq. 1 2704 abca inop H2S ab nnos abidun opqs +6434 ab 1004 ( - 4b16 abc +. not .- 128 ab, opis =32766204 Posumus autem haec omnia quoque deduere a posteriori sumendo casum maximuti ubi omnia Nomina addenda sunt= postquam certi sumus systema hoc modo factum si modo huic casum maximo congruat etiam congruere omnibus reliquis Casibus Systema tale. Sit ergo pro 2 Nominibus Qvaeritur Systema ad tria Nomina Incasu maximo erit hoc systema = 1 1 Pono Systema inventum Praesupponitur cognosci pose Valores punctatos ad Casum maximum ubi omnes Valores sunt Unitates scilicet ad Unum Nomen Ad duo Nomina a = Z. Ad tria Nomina a = 3. ab = 3. abc = a. Ad A Nomina a = 4 ab. = abc = 4 abcd - 1 a sic porro quod plenius continuabitur in Tabula Valorum punctatorum ad Casum Maximum. seutribus cunin Ergo a -2ab + X = 1. Facit 3-L = a Ergo Z= 2 Facit -Zabc 3 - 2, 3. + X = 1. seu 3-6 + X = 1. seu -3 + X = + Ergo X = A abc H = L quia Komina omnia sunt unitate Facit X= +4abc Fit Systema pro tribus Neminibus u PRoaIs et sabula Reformata. Aa III. - 20- + 4a Nomina Fac. (0) = + q(ubc) per 7. 280 - =rabede -20D5 (90). oebides) (D) alede 1 4 - 512 abc hit -8192 abc umne +16384 ab nu mnop