# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068196:0311 # Permalink to this reading: https://leibnizlegible.com/page/00068196:0311?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 1 # Folio 157r, page id 00068196:0311 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068196&page=311 # Source image: https://digitale-sammlungen.gwlb.de/content/00068196/jpgs/default/00000311.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 38 lines, status machine # Lines: 38 recognised, mean confidence 0.92 # 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. Iones synopsis patnariorum Matheseos Lond. 170b 8 progressio harmonica 6. 5. 3 quia 6-5,: 5- 3 = 6: 3. progressio contraharmonica 12. 10. 4 quia 12- 10:, co- 4 - 7. 12 6. 5. 2 6- 57:,5-2 =, 2:8 um in multiplicatione magnorum numerorum veluti decimatium requirantur colum aliquor priores figiiae hic est processus 1098612286 quaeruntur soliemm quinque 42945 1l2127344 12270 jndices 11; 10, 19. 7, 7. 6, 5. 1. 4. 3, 2. 1.0 Multialien (1 09) 8 6 12286 candus Multipli G. 4 cator Indices 924 duuc 0 112. 3 4. 5. 6)7. 8.9. 10 1 94a a prioresfigurae producti quae hoc loco sunt 47TI2 A alio hujus contractionis obvia. Nam index dextraefigurae producti est summa indicum factoris et inversa positione figurarum, summa indicum in quovis loco respondente factorum, semper eidem quantitati aequalis est, adeoque aequalis indici dextrae itigurae moducti quaesiti sed prodcta quorum jndices aequales, perbinent ad eundem locum taque sibi supponenda sunt et summa eorum dal totum prodactum quaesitum nex cujusu figurae in quotientes aest aequalis indici dividendae figura minuto indice pra decimalibus divisioubu per infinitum numerum dividas divisio saepe utditer contrahi potst figurae dividentis sume tol figuras a sinistra parte quot D. re esse videbitur, pro primo divisore et per hunc divia datum numerum pro secundo divisore omitte unani exfiguris divisoris prima divisoris, et protertia ad hac unam et ilaporro