# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068194:0035 # Permalink to this reading: https://leibnizlegible.com/page/00068194:0035?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 1 # Folio 18r, page id 00068194:0035 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068194&page=35 # Source image: https://digitale-sammlungen.gwlb.de/content/00068194/jpgs/default/00000035.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 32 lines, status machine # Lines: 32 recognised, mean confidence 0.93 # 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. 5 a ab ab abc abcd De Numero Formarum. Exemplum memorabile fallentis inductionis. Nimirum sex primi termini numerorum hujus seriei coincidere cum sex primis terminis serici Numerorum primtonum Aeliqui vero expestatium non respondere 7 a ab aet abc abc aebcd abcde 11 a ab a abc ab abc abcd abc abcd abcde abcdet. 15 a ab ab abc a b abc a bd ac ab abcd aebcde abcd a bede abedet abcdetu Patet hinc facile esse aliquando condere Hypothesin primis imitiis satissacientem Ut hoc loco si quis ordiie ponat seriem numerorum ab unitate rescentium quorum differentiae sint Numeri progressionis Geometricae duplae geminati, continundo ad sextum usque terminum condem regeriet cum sex prioribus nemeris primifiis 1. 2. 3. F. 7. 11. coincidentes. Hinc si quis aestimare velit probabilitatem successis, sive quanto pignore contra aliud datum a quovis propositum pignus, certandum sit: considerare debet quam variis modis satisfieri possit huic problemati: seriem invenire quae propositos numeros habeat, pterminis primes. Deiide considerare debet quae possit esse inter seriem propositam, et hypothesin a nobis factam, connexio. Sex hde primos numeros 1. 2. 3. 5. 7. 11. eosdem. prima est serti numerorum primitivorum. Secunda est seriei quae contine Numeros formarum in quolibet gradu; tertia est series, qu cujus terminorum differentiae sunt numeri progresionis Geometricae duplae ab unitate incipientis geminati. Facile est Numerum formarum gradus padet cujusdam dati concinnare ex Numero formarum graduum praecedentium certa ratione alteratorum uinde argula habebitur natuvam explicans progessionis. 5 Ripra 1 a. 3 a ab abc 2 a. ab