# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068255:0049 # Permalink to this reading: https://leibnizlegible.com/page/00068255:0049?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 3 B 5 # Folio 25r, page id 00068255:0049 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 26v); this page is its right half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068255&page=49 # Source image: https://digitale-sammlungen.gwlb.de/content/00068255/jpgs/default/00000049.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 58 lines, status machine # Lines: 58 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. secunda, tertia quarta ete Columina prima (potentiae naturalium cujusque nadice ex pressa, habet periodum notarum 2, 4 8l 16, etc. Hinc nosci potest ex potenta numerorum o,1, B; vel o, 1, 2, 3; vel numerorum 0, 1,2, 3, , S, 99. vel numerorum 0, 1, 23.... 16. etc. Itaque iidem numeri inde ab O sumti serviunt pro poten– tia quacunqo eadem columna potentiae iujiscunque. 0 et 1 serviunt prae columna prita cujascumquse pote rae et dantperiodum e1 02 1,3, vel 0, 1, 10 H serviunt procolumna secunda 0, et 1 dant 0pro columna secunda 10 dat D pro posentia secunda quadrati, et u dat etiam v pro 1.1 v+ polat Ida qti. Ergo columna Ida quadrati habet ubique o tme etiam petenti Columna cujuscunque potentiae parus habebit ubique O. pro tubo 0, et 1 dant 0; 10 dat 0 a dat 1. Ergo periodus coli2dae cybi est 0001 Et generalites, in Si potentia 0, C, et 10 Daut 0 pro columna rda; sed 11 in col. 2 dat pro paribus 0) Ergo habemque pro 100c pro impa abusiada phaebemus li Columna pro comna pro periodo parium od stotentiarum 0000, pro periodo impariam 100 1101 1 1101 1. 10 01011 10102 10n0010 Columna 3tia investiganda est ope numerorum 000 0, 1, 10, 11, 100, 101, 110, 111, Et 0 et 1, in ea dant 0, ubique pro quadratis eo dat 1; I1 dat 0; 100 dat 0, 101 dat 0, 11 dat ( 111 a coln) Ut dat 0, fit periodus 00100000 Et sufficit 0010, pro (ubis, 10 dat 0, 11 dat 0, 100 det 0, 101 dat 1, 10 dato, In dat D et 101001 Et fit periodus 00000100 101 101 11001 11001 LMIIIN 101001 11001 10001 e 000 000 00 100 odid