# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851708439:0428 # Permalink to this reading: https://leibnizlegible.com/page/851708439:0428?run=74 # Title: [Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi, De Algebra Tractatus; Historicus & Practicus. Anno 1685 Anglice editus; Nunc Auctus Latine. Cum variis Appendicibus; Partim prius editis Anglice, Partim nunc primum editis] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi, De Algebra Tractatus; Historicus & Practicus. Anno 1685 Anglice editus; Nunc Auctus Latine. Cum variis Appendicibus; Partim prius editis Anglice, Partim nunc primum editis (shelfmarks Leibn. Marg. 100:1/2, Stück 2; Leibn. Marg. 100:1/2) # Folio 404, page id 851708439:0428 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851708439&page=428 # Source image: https://digitale-sammlungen.gwlb.de/content/851708439/jpgs/default/00000428.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 120 lines, status machine # Lines: 120 recognised, mean confidence 0.76 # 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. 0 O3I 02562 0078F 00397- 00295 00098 - 00040- 00024.+ 000r2 00006+ 00003 00002 -00002- 99990 + = 00006. c 2 9000 00002. + T2 0777C 04665+ 2799 07680- 01008- 90605- 00363- 00218- 0 00078- 00047- 00028+ .000T7- 100010 00006. 00004. - .00002.- O0OOr- 000Or- 2. 49999 +- 1000Or- 5 26667 - 00463 - 00077+ OOOT2 00002 19909= 66667- 44444 + 2.9630 - 19753. + 13160 0870 + 05853 03902- 0260F 0T734. ,OTT56 .0077T - 00524 - 00345 00228 00252 .O0T0L 00068 - 000. .D0OOr 48 00045+ .33333 7 TTTET. 03704.- O+235 - .004 FF 00T37 + 00046- .00015+ 00005 7 00002 - 49999+ = 2 00030 60020 4 00013 + 064 0625 02562 + .00391- 00098 - 00024 7 00006 + 00002 - .0236 .O2024 004.10- 00164 - .00066 .00026 + 00010 00004+ 00002 - .6C30C4 .00003- 00002 - 000Or. ,000Or 33333 F =5. 66666. F = 3. 2. 90999 + =2. Demonstracio. Nam quicunque sit numerus a, quo denominatur pars Aliquota; summa omnium est Geomerrica Progressio decrescens; cujus ulcumus terminus aaaa _C. (Propter Denominatorem intinice magnum) eris intinite exiguus. F.A autem summa Geomerriea Pcoprestionis, (ut in Opere Arichmetico demonttravi) e- =(Voliis V pro cermino maximo, A pro minimo, R prO com. muni mulciplicatore seu exponence Rationis communis, e SPro Summa PrO. grectionis.) Hoc est R =F R - + Cum itaque, progrectione in infinitum con- rinuaca, cerminus ulcimus A Fucurus sic intinire exisuus; e consequenter 00009- 00000