# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851708439:0440 # Permalink to this reading: https://leibnizlegible.com/page/851708439:0440?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 416, page id 851708439:0440 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851708439&page=440 # Source image: https://digitale-sammlungen.gwlb.de/content/851708439/jpgs/default/00000440.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 46 lines, status machine # Lines: 46 recognised, mean confidence 0.83 # 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. A L V F B R A. Cap. XCVII. ve quemlibet,) Fieura ex Paralleloer ammis inseripta, erit, in Triansulo = 2b; in Parabola ab; in Complemento Parabolae ab. Duod, alibi demon- stracum, (Nempe, ad PrOB. 8, et 15, cap. Praeced. hujus, ) lonsius est quam ul hic commode inseratur. loc est, Posito 2. = 4; erit in Parabolae complemento, E; in Triansulo, 3: in Parabolan 7. P0 sito 2. - 9; erit b 283 28. Posito 2. = 200; erit gn rn 4 9 2 33. Lt in aliis casibus similiter. Sed, quo propius 2. superat X, eo propius accedet Freura inseripta ad expositam. Adeoque, posito, verbi gratia, 2. == Z. 00O2OOOT, (quadrato numero, quo sit V2 non Surdus; nempe V. c. = 2. 0OOT;) erit in P arabola Complemento, 5. 9002, 00OL, In Frianecuto D. D002, 00OT, 0.0004,0006,0004,0007 00006,0025, 0020,0025,000, 000L is In Parabola 0.0002,0001, 93003,00O3, ODOT. Dux pro vime accedunt, ad 3, 23; quae est vera ratio Fieurarum expositarum. Duod masis achue patebit, si pro 2. 000T, sumeretur 2. 000000OL; aut si plures achue Ciphrae quotlibet interponerentur locis Fractionum decimalium. Verum schujusmodi Fieurae concipiantur insemet inverse positae (seu,ut tu loque ris subcontrarie, ductae: Ducentur, non quidem planum in planum, quo fiat pla- eeeee noplanum, sed Ordinatae in Ordinatas respective sumptas, (manente ubique quae erius erat communi alsicudine.) Iloc est, BB Bectaneulum, in Mricudimem B A, Sie in caeteris. (Sua itaque Atitudo, si foret, ut apudme ubique eadem; neglei jure posset; ut sola haberetur Rectaneulorum consideratio: Tlic vero, quoniam est alibi alia, ad caler- lum revocanda est.) Veletiam AB Paralleloerammum, in Suanem B B, e sie in reliquis. ZLoC estus ABxBBrBB, BCKCYKCC, CDKDdXDd, BC. Adeoque parces Solidi adjacentis Trianeulo; ,88c. seu = = in 2- = =2 ec. Hoc est, 2 = += 76 3 Bc.) minus, minus. 3 - 2 Adjacentis Complemento P arabolae D 2 3+ 2 9 2 2,C. sect =9: 2 - 2. + 20 : 2. = 1. u : 23 - 2. 8c. THoC est, = in2 - 22 + X, F, 10 in 24 = 22 +2, 4 in 2 = 22 + 1, B0. Htoe est 3c. bc est, omninoz- 2+2 - 2