# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851708439:0409 # Permalink to this reading: https://leibnizlegible.com/page/851708439:0409?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 385, page id 851708439:0409 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851708439&page=409 # Source image: https://digitale-sammlungen.gwlb.de/content/851708439/jpgs/default/00000409.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 48 lines, status machine # Lines: 48 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. Cap. XC V. X + ce t XOrE E C F B R A: 24rrC 10c 28r0 28 p3 C3 2.2 246 24 rr ∞ 22VC 112 6 46Yc 60 21526 352r0 2816C10 _C. In hoc Schemate, Numerales Coeficientes terminorum in linea prima (5) 103 24) CuL.) sunt in Progrestione Flarmonica (quorum denominatores lunt in progrectione Arichmetica.) Ec numerales coetticientes omnium intra positorum, in quaque columna, oriuntur d concinua mulciplicatione polirarum in prima lIea, per Ter. minos hujus progrectioniS. En- 3n - n n- Thi n desienat numerum dimentionum ipsius c in Denominatore supremi termini. Progrestiones reliquae lune obria. Porro. Policis BF = v; der pro FIipseos Parametro teu Fatere Recto; e Y) AB (e. Arus Flliptieus BC, et = 20 _t + ec. F 30c 23e0 et y =Vrx; in, 2, + 2 1SCCC 12 9re Adeoque: Pro invenienda Perimetro cocius Fllipleos; Biseca CB ip F; ac. que tum, per procettum priorem, quare arcum DC; et accum BC, Per PO. Steriorem. Exemplum VI. Contra vero: Dato Area elliptico D C: invenire inum C F. Sit CD =r. CD) CiB9(6. EF ArCUSDC = 2. ExIE Sinus C. F a 42076 483 5040C _c. Ouodque de Fllivsi dictum est, tacile applicabitur Hyperbolae; solummodo mu- caris Sixnis ixlorum c et c ubi dimentionum numerus ett lupal Exemplum