# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068014:0010 # Permalink to this reading: https://leibnizlegible.com/page/00068014:0010?run=73 # Title: Leibniz-Handschriften zur Mathematik LH 35, 4, 17 # Folio 5v, page id 00068014:0010 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 6r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068014&page=10 # Source image: https://digitale-sammlungen.gwlb.de/content/00068014/jpgs/default/00000010.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 70 lines, status machine # Lines: 70 recognised, mean confidence 0.84 # 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. VCytIB yFg. Ergo generaliter V Oyt 5+3VT2 9t 713p 5916. Cr9) C8 (+3) () yra Ytat1y +2ay + a Ju V+ cayY a. est par. Ergo y +a 4 y4 a est par. + 1 +a +. +a yrada: est senarius. Ergoet termaius Ergo si y por est termarius. Euit a senarius + tas Producti A Numerorum aequidistantium; seu Arithmetico progressions G Theorema: Productus aequidistantium Numeri a edia s si nunori ordine dcontinua serie dspositi, deinceps ab unitate numerentur, secundus quisque erit binarius sive par, tertius quisque erit ternarus, quartus quisque erit quatemarius. idem est numer ordinis sive loci, quem quisque numerus tenet, numerus ubititum qui in eo continentur, sive numen propositus ipsemet; itaque tertius quisque est, tribus unitatibus aliquoties repertis conflatus est. et ita 2 Ex duobus numeris c unus necessario est par sive biratiusi ex tritus necessario unus est terualius; ex immediatis de caeteris. en quatecor numeris tinis unus est quaternarius et ita porro. rimed continuos Nam cum numeramus tertiums vel quartum quemque ex. nunquam tres vel quatuor Transsiliemus, adeoque semper in unum ex datis quibus liber tribus vel quataor continuis, et incidemus. 9. 1d. H. C. 13. 2. 15. 16, 17. 18, 19. 20. 21. 22. 23. 24. 25, 26. 27. 28. 29. 30. Figura notabilis, in qua nit phimorum et multiplorum arcuna e latent. Notabile puncta oblique cadere in lineas rectas. angulumue reclra ad horizon- tatem perpetuo variari arifnetica Sinuum progressione Restat tantum ut in perpendiculariblum linearum proprietates detegautur. 113 in un y 3P. 1. M. . P., M. 1 P. 3M. 1. P. . M. 1P 3. . 1. 1M , P. 3 M. 1. P. 5M. 1P . M , P 5M 1 P. 3M + P M . D 3H. PZM +P +M 1D .M 1D 1M 1D 1M 1F FM 1 3M 1 D. M. 1t 5. Tres primi, unus multiplus; unus primus, unus multiplus. N 4 5 6 7 8 1. 1 13 14 17 18 19 20 23 2 29 30 31 32 37 58 4 42 43 44 47 28 51 5i 53 54 57 58 59 60 6) 10 18 2 6 34 20 ZM .D 1M 1 P 1m 1P 5M 1P 3n 1D M .D 1M P ,B a in =D n 580 83 84 89 90 91 92 97 98 12 Si 14 100 101 102 103 104 107 108 109 110 113 it 105 u 3o 117 118