# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851387705:0127 # Permalink to this reading: https://leibnizlegible.com/page/851387705:0127?run=74 # Title: [Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica (shelfmarks Leibn. Marg. 100:1/2, Stück 1; Leibn. Marg. 100:1/2) # Folio 107, page id 851387705:0127 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851387705&page=127 # Source image: https://digitale-sammlungen.gwlb.de/content/851387705/jpgs/default/00000127.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 50 lines, status machine # Lines: 50 recognised, mean confidence 0.85 # 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. Le. Tec,) in libro qui inseribicur Scratiorios, (G Londini procii AnnO 2579.) ubi Reculam Cosae,) Cdio anO 1537, Obl Mnilem irem cradit Radicum exrractionem. Ouoniam V) ABV (A B, seribo in quocience AB, quae ducta in divitorem P - 3A olim, jurta Vererum AleCBCa E CrS mechodum octendic Thomas Diecesius, Anolus, (vir Equeltri tamilia nacus, et egregius sui cemporis mache. macicus, ie ex iplius cdicis operibus, sed Petsa sua Anglicana, Paris pa- tam Arichmeciea rulsaris, quam vecerum ABebra luccincte traditur. Idenique praesticie Robertus Record, in libro cutS, Lhe W heistone ofWVitt (H. C. Cos Lneenii allutione, ni tallor, tacta ad nomen numerorum Cossicorum, leu tia vero lic commode praltabitur. Dispolicis primo cam mutriplicandae quam mulciplicancis parcibus, prouc nesocte magis accommodum ridebitur; quaeratu GIanCITaS qua TaleM in unum (Guod LCIICC Placeat) VIroris membrum ducta, producat mentorum aliquod quanctalis crleca: qua Guatuas plo quociente (parciculari) habenda ell, ee in diritorem corum ducenda, ee P’actum ex quanci cace diridetted duterendum, notaro reliduo. Aeque idem icerandum exit quoces Opus clt; ut religua eciam quorienus metibra reperiantur. Iea (I quanCitaS A B H L ZC D H = Z A 9B -- s A CD diridenda (IC PeT P = 3 A. AC.D I E= 3A) ABF F ZCDF = 3AgB -6ACD (AB F 2CD quod ubi subductum eAt, nihil restat, coulque operatio est abtoluca. Pacic ABF = 3 AAB, quibus ox aividendo subnductis, restace video 2CDF =6A C D. Deinde, eandem operacionem icerando, cum sic F) 2CDF (F 2CD subjunso quocienci priori + 2C D, ec ducto 2 C D in F = 3 A, AEZCDF = 6ACD, Icem E dividendum HC A C = F C Der A = F: cum lic A) A C (A9. Ducendo quoriencem A g in divisorem A - K sic AC - AgF, d Facta subductione restat AGF = FC. Fum qua A) A9L. CAE, quoneno A L. i cirilorem A = L. ducluo, =F.) AC = FC (A9- 2C dat AGR. = A F. g; e facta subductione, reltat AF. 9 = L C. Landem, cru A) AEG (F 9; _ F 9 in A- L I HC. GLC, subductione Facta, nihil restat; est a- adeoque absoluta est operatio, et quotiens A9 + AP. + R, 9. Atque idem proveniet si d dexera incipia- muS. Cum enim (II = e) = e3 (e, exII quo. tiens C, de e in a = e, Crit a C - 0; e (a eta subductione, residuum a - 4e. Tum e2 (+ 20; ee ac in a = e elt a e = ac; ee subductione tacta, reliduum a C. Denique = e) - a’ e (a: et in a - e est a = a c; de, facta subdu- ctione, restat nihil. Ouociens ailtem elt ut prius, nili quod qui cunc ulcimuls lune pri. us eAt terminus. a = e) a a Ad eandem formam; si dividenda ehec eadem quantitas a =e per a + c. Cum sic a) à la; ee in a +e ti a aC, acta subdluctionem retreuum erio