# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851387705:0197 # Permalink to this reading: https://leibnizlegible.com/page/851387705:0197?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 177, page id 851387705:0197 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851387705&page=197 # Source image: https://digitale-sammlungen.gwlb.de/content/851387705/jpgs/default/00000197.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 53 lines, status machine # Lines: 53 recognised, mean confidence 0.80 # 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. XXXTII. GTEOMETRICA. Etiransponendto, Sl - 5 = VR - A. erie surcinque dividendo) 5 = VH = A Vel sic, per praetencem, S - VB = Ag VAR = Ag VR = A E = A 72. Datis ipieur extremis _E FaTIONC COIMUNI; A, V, R, habetur cerminorum omnium sumima S. Nempe S = R - A R - 5. per prop. 68. vel 71. 73. Idem habetur, A, PrO extremis A, V, cacencur A, II. Nempe S- Nam A) H = V. 74. Vel A, X. Nempe 5 = a AR = A R == Nam V A = V. 75. Vel V, H. Nempe S =V R -V)n R =+ 76. Vel V, ~. Nempe 5 = Y R - ∞ ) NamV) H = A rI 77. Vel denique H, X. Nempe S = RY X H - Y: X)V. Nam v 1 = v. Et XI H = 12 e- 78. Fc, dario extremis, cum cerminorum omnium Tumma; A, V, S; habetur communis ratio. R. Nam per prop. 68, vel 72. 5 - - R- t =. hoc est, SR - 8 =VE = a; adeoque BR - V R = 5 = A, e = R. Vel brerius, per PrOP. 70.5 3 79. Idem habetur, C, PrO A, V, darentur A, 12. Nempe R = 80. Velu A, Z. NempCR = SE. VcL V, H. NempcK- 3-vin 282. Vch V, Z. Nempe R = 8 = 83. Vel denique, M, Z. Nempe R - 5 = V viu A)U 8g. trem, datis termino minimo, ratione communi, de cerminorum omnium summa; A, R, S; dacur maximus. V. Nam (UC in PrOP. 78.) SR = S = V R = A. Ereo SR = S F A = V B, eSR- 5 + A 85. EL datis cermino maximo, ratione communi, ee terminorum omnium sum. ma; V, R, S; datur minimus. A. Cum enim (ut in praeced.) SR - S A = VR; exit (cranlponendo) VR - SR F S = A. 86. Trem, daris TerMInO MINIMIO, TatONE CONUNI, EE TETMINOTUI RUMeTO; A, R, P; dacur cerminorum omnium cumma. S. NaM, PET PF. Y9. V = A Rd, _ V R = AH; ErBO Per PTOP. 68, 5 - VR - A AR.- A 87. E datis cermino minimo, ratione communi, et progrectionis Tumma; A, R, S; dacur numerus terminorum. P. EH enim (ut in PrOP. 84.) SR = 5. F A = Y R = AR= (Per PC. 79.) Adcoque SR - 5 F A =Rc. Ouaerendum igituT quoca porettas Exponenis racionis communis R, aequatur quancilali coenica SR- 5. F A 88. EC