# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068261:0041 # Permalink to this reading: https://leibnizlegible.com/page/00068261:0041?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 3 B 11 # Folio 21r, page id 00068261:0041 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068261&page=41 # Source image: https://digitale-sammlungen.gwlb.de/content/00068261/jpgs/default/00000041.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 88 lines, status machine # Lines: 88 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. sit primitivus qualibet Numerus tali fractione expressus si e vais existis c. P- 1. C- 2. c- 3. ete est divisibilis per e, excepta ea 1. 2. 3. 4. etc Cujus ultimus confactor divisoris est e ea enim ipsa est. 1 proxime mnor fractione si numerorum divisoris maximus sit minor radice quadrata ipsius e necesse est, ut inter divisores eas sit aliqua ex aliquobis partibus ipsius e. si constaret si non-primitivus e habeat aliquotam partem majorem sua radice quadrata; necesse est C. C- 1. C-2. C-3 habere commune 1. 2. 3. 4, etc divisorem cum e(fractionem eo usque productam donec in divisore occurrat minuitivas proxime minor epis radice quadrata ipsius e habere communem divisorem cum ipso e logoo Quin et generaliter prodbuntiari protest poductum 26d28continnorum, a qualis est 1. 2.3. 4, etc. usque ad numerum 60r proxime minorem radice quadrata dati numeri e, habere communem divisorem cum ipso e, si modo e sit 9630 non primitivus 6 10 24 120 720 5040 4320) 36280)360199e) 3 9916800 productus continuorum usque ad numerum a dato differentem dinarie qui antemaecedit datum relinquit I. si datus sit primi– tivus si minus re Et generaliter quicunque sit datus relin– quelnumerum cum dato sin datus relinquet sit derivations eliaquet numerum qui cum dato habeat communem men- ssiam unitate majorem. 12 3 4 56 7 s 9) 10) 1) 12) 13]1 (7 (1. 2. 6. 7. 1. 6. 8, 3. 15 14 16 2 est 15 17 a 1 1t 4 362880 62 lg 1b 0 4032 Eg si ve B Ha 34. e 1 2g 12 3 365 potare 24d Abers. 0+ 263 9 ese ot geoz rofe 792 e t us 1 +5 e et 50 Ae isis 13 16 A 16 10 b 2b s t 48323 in