# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851387705:0166 # Permalink to this reading: https://leibnizlegible.com/page/851387705:0166?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 146, page id 851387705:0166 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851387705&page=166 # Source image: https://digitale-sammlungen.gwlb.de/content/851387705/jpgs/default/00000166.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 66 lines, status machine # Lines: 66 recognised, mean confidence 0.74 # 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. DE PROORLSSTOAE CaP. XZVII 53 Dacis sildem; dacur excremorum dilterentia. X. Nam, per praeced 25 - V = A. ErBO V - 2 + V = 2V - = (= 2Y - 2) =Y = A = X. m: V = A = ui = 7 - 7 = A = X 2V = 7. = X 54 Daris extremorum summa _ differentia, Z, X; datur exrremum minus, seu cerminus minimus. A. C. = X (V + A minus V = A) = Z A. Freo = = A. IL 19G Byst il astric 55 Datis iisdem; datur terminus. LaxiIIS. V. Nempe Z. + X(V f A plus V - A) = 2V. FrGO 7 56 Daris extremis (vel corundem summa dt ditterentia,) cum exceltu communi, Z, a E, datur prosrectionis Lumma. 3. ACHIDE per pr. 18. habecur Y, er B0 8 7. F. Der PI. 47. d =. aj 57 Daris extremis, cum summa proxretionis, A, Y, S, datur communis ex. celtiis. F. nempe, per PrOP. 48. habetur F, CrSO _t per PT. 17. F = L. X 58 Dacis cermins minimo, cerminorum numero, de communi exceltu; A, F, L.; datur prosreltionis Cumma. S. Nempe per PP. T9. habetur V; CrgO eE DeT PF. 4 7, 2 A ] TF = H, ei orctiles els) resigi cnciodC 5o Daris termino minimo, terminorum numero, de procrectionis summa; A, P, Si dacur communis excettus. L. nempe per pr. Gr. haberur X; erso et per PF. 27, F. = 28 2 A 12)s e So Datis termino maximo, terminorum numero, de communi excectu; V, F F: dacur progressionis tumma. S. Nempe per prOP. 20. habetur A; ergO et per prop. 47 5 = 2Y - L. + F. .0i1e is cue C6x Datis termino maximo, terminorum numero, et progrectionis, Tumma; V, T, S; datur communis excettus. F. nempC Per PTOP. 53, habetIX X; ergO e Per PrOP. 17. F. - Z Y Y - L9- P. t cavieue 62 Daris terminorum numero, communi excelti, et progrectionis summa, Y, F, S; dacur rerminus minimus. A. nempe per pr. 26. haberue X, et per pr. 48, Z; ergo et per prop. 54. A - 28 - PgF. F Y L. 1 iil pace 3F ice ce orili 1t 63 Datis iisdem; dacuE CETIIS MaXIUIS. V. neMPC Per PrOP. 26 8t 49, h2. Bentur Z et X: ereo S per prop. 55. Y - 28 + FqE. L X F. S ronis AIYOCIA 1O2 L CWRIC aISCI 6q Dacis termino minimo, communi excelti, _ progrectionis summa, A, H, 5. datUE NUCTUS TerminOruM. Y. Nam per pr. ZO. A ] PF P = V. adeoque 2 A F YE = F = A + V = Z. ErgO, per Pr. 45. 25 = TZ = 2, L A + F9F. = FF. adleoque = F 9- nem) H 2A = l. Y. Fe (retolvendo aequacio. VF. 1113 =A + EF + V: 3F. 9 F Ag- AF. +2SC: Ourit 65 Datis iildem; dacur cerminus maximus. V. nempe, per praecedentem, tia. betur F. adeoque V per. pr. 19. Vel EC. Oui per Pr. 18. _ f. B 7. , erit per piop. 45. 25 = 7. 2 2Z + 1101