# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/170380998X:0100 # Permalink to this reading: https://leibnizlegible.com/page/170380998X:0100?run=74 # Title: The Description and Use Of Two Arithmetick Instruments. Together With a Short Treatise, explaining and Demonstrating the Ordinary Operations of Arithmetick. As likewise, A Perpetual Almanack, And serveral Useful Tables. ... (shelfmark Ob-A 236) # Folio 73, page id 170380998X:0100 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=170380998X&page=100 # Source image: https://digitale-sammlungen.gwlb.de/content/170380998X/jpgs/default/00000100.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 26 lines, status machine # Lines: 26 recognised, mean confidence 0.88 # 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. 2 viz. (640) be Dirided by che First, namely (4) The Ouociene, 2iz. (160) is the Fourch Proporrional louche. And For a Proot oF this- Lecche Fourch found Term (160) beine Mul ciplyed by che krA (4); ehe Produet rist be che Tame wich che Product oF che chird Mulcipived by the second, 2i2. 640. The Rroumenration is plainly ehus, IF the Produet oF (80by 8) be equal eo che ProduetoF (4 by cheuntnoon Number.) Then, The Quociene wil be che very Came eherher PDiride ihe Product ot (50 by 8,) or Wwhecher L Diride che Produet et (q by che untinonn Num- b. r) by 4. For cicher ot che Products beine 64C3 checuorient mult necds bc 160. Buc non ie is monifest, chat il TMulcipiy 4 by 160, and Diride the Produet back again br 43 ic will gire 160 Forche Duotient. Becaule, wharerer Muiciplicarion doch, is again undone by Dirition. And this is che crue and eenuire Reason oF che Operarion in This Rule ef Three. Thac