# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851708439:0397 # Permalink to this reading: https://leibnizlegible.com/page/851708439:0397?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 373, page id 851708439:0397 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851708439&page=397 # Source image: https://digitale-sammlungen.gwlb.de/content/851708439/jpgs/default/00000397.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 38 lines, status machine # Lines: 38 recognised, mean confidence 0.78 # 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. XCTTI. L G F B R A P. XCLII Fjusaem ippliuda un too. Duoniam est V: RR +66: R Les c et 62 Imilicer; pro Ordinatis ad Conjis alat Canierrum, Ay perbola: Lxo lic arxuo. ed 1CC F et ac. 2k 8R 26_. 22b_ 256 k 1024 A PorIO BCDH, in exteriore Hyperbola, simili procestir (posita Semi diametro tran(verta C A = = R = L; distantIaque d CenEO CD = C ==M, ) reperietuT, C +5C = a C = iin C.) = r5. C3 f 20t6 6 - 1 C 13 dec. Adeoque Frilineum IBP = 3C3 = ad C. 3 f ri C. = 1132 C. 3 f 2610C 1 - +3 C. 13 c. FE speciatim; Si cerminetur portio ad AH; hoc est, adt Conjueatum verricem A: Tum, propIer C. = R = Z, ejusque igitur poteltates Singulas = T, tOL POr- lio BC A H in hyberbola (quae respondet Ouadrani Fllipseos Circulire, ): F. rit, UE F ad 2 + 6= ao F rin = 3a F 20i5 = 1 i c. Sic Ouadratum Semiaxis cransverti, in Eyperbola rectaneula aequilatera; de Pa- ralleloxrammum inseriptum A C B P in alia quaris Hyperbola, ad quadrancalem Fyperbolam BC A II. Et, ad ejusdem Prilineum HBP; ut X ad 3 = ao f 2ie= 232 30i0= oo ec. Hoc non aliter distert ab eo quod de Circulo et Erlipsi craditum est; quam quod ponitur. = pro - in alcernis locis secundo, quarto, e consequentibus locis parihus, pro hyperbola exterioris porrione BCDH; sed in locis imparibus, pro irilineo BPH. Ouod hinc oritur; quia communis Mulciplicatoi in concinue e proporcionalibus tueric, ilie - pi hie vero. + RR a 24 Nam