# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851708439:0071 # Permalink to this reading: https://leibnizlegible.com/page/851708439:0071?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 47, page id 851708439:0071 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851708439&page=71 # Source image: https://digitale-sammlungen.gwlb.de/content/851708439/jpgs/default/00000071.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 139 lines, status machine # Lines: 139 recognised, mean confidence 0.86 # 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. Cap. X. 658(0056134. 3 24 99972618 6830053396 24 9097262 70800506575 24 99972618 73300479197 24, 99972618 7580045L8F5 24 999726LE 78300424433 2+ 9997261 80800397052 24 99972618 83300369669 24 99972618 85800342287 2677 2499972618 43300807782 2499972618 45800780309 24999726+8 1352 8 1428 483007530171 2507 2499972618 78 50800725635 1585 2499972618 78 53300698253 7663 2499972628 d 5.580067087F, T74. Y 2490072678 78 58300643489 LBF9 2490972618 60800626207 1897 e 63300588725 1975 2499972618 78 7C 88300314905 2755 24 99972618 78 2499972616 2458(00073703 3623 (Oi aurem concinsae unius Ordinis tam lonsa series; non incommodum erit per Salcus seu interralla procedere, uc in aliis calibus Arichmericae Progrectionis.) Acque eodemmodo (si approximationem libeat ulretius prosequi,) quaerendum eric Fertui Ordinis concinuun Luerementum; reliquaque prolequenda, uc in Ordi- ne secundo. Nempe, dirilo 0.00027382 C oM- Plemento Mantissae continui Tnerementi 0.00013703)0.90027382 (1. 908. + Ordinis (Eccundi) proxime praecedentis, Der OOOOF3 7O32 Mantissam fractionis primae Ordinis bujus (certiii) Ouocientem habeo 1. 908. Y Adeoque (neglectis partibus decimalibus Inceoro achaerentibus per E (Quotientis numerum Enteerum, quotiente justo proxime minorem) mulci plico urumque cerminum fractionis prima Ordinis hajus Fertii: Factisque addo relpectire, continuum Incrementum Ordinis praeceden- ris. Onde habetur continuum Enerementum Ordinis hu jus Terrii. Nempe, Denominatoris continuum inere. mentum erit 369T = 3673 778; et huic respondens, 2258,009Z3703 24 00972628 3613 T182 (90086327 3691 2282. 90086327, continuum Incrementum Nymeratoris. Oux quidem Fractio. nis primae Ordinis hujus terminis respectire addita, ex hiber terminos fractionis secunda tercii Ordinis. FL Sic deinceps, quandiu supperic Mancista lutticiens; nempe 1158,00073703 3613 T78290086322 3607 quae minor non sic complemenco manciltae continui In. 234+ (00000024 7304 crementi hujus Ordinis. Obi aurem non suppetit mancista sufticiens; habeturtu jus ordinis tractio Otrima; cademque Prima lequenris. Ouoniam aurem, (in calis prae senti) ubi ad Ordinis secundi Fractionem decimam Guariam 33 pervencum est, habetur Denominacor imperato major, (ut qui tres to. cos excedit:) concludo, proxime praecedeniem 3s Fractionem expolita proxime minorem esse, cujus Denominatos dacum numerum 999 non excedic; e quidem in terminis minimis. Duoeque ie hac Practione expolica factum est; in alia quaris, muracis nus tandis, Peragendum exic. Symna Praceptorum huc redic. dsc Si qudlaractio Denominatorem habens dato Pumero non majorem, quae sc expolica Tractione pronime Major; Diricatur expolicae D enominator per Lame- ratorem. 205 E 9080028752 2499072618 9330026074 2499972628 9580023275 2499972618 9830020537 2499972618 200800T7799 249997261c 1033001500L3 24999726+8 705800123231 2499972618 1005095849 Je 283. 2917 2980 306, 3ca 3223 7E 2737 2209 7E 2287 78 23 98 X.443 R52I 78 330C 40800835163 7273 76 3373 3457 499972618 12080000640) 2499972616 l1330004106) e 3535 24900) 2020 2499972628 2599