# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/85138403X:0063 # Permalink to this reading: https://leibnizlegible.com/page/85138403X:0063?run=74 # Title: [Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo (shelfmark Leibn. Marg. 103) # Folio 47, page id 85138403X:0063 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=85138403X&page=63 # Source image: https://digitale-sammlungen.gwlb.de/content/85138403X/jpgs/default/00000063.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 39 lines, status machine # Lines: 39 recognised, mean confidence 0.86 # 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. C ductarum; Eirein D. 22. Omnes autem Z V in D; hoc est, critineum CZ AF in D; hoc est (PeF 10) DP L 2D2 in D; eA, D = P = 2D Unde (I auFeramus Omnes Z. V in ∞o hoc eA : D= P = 5De (VF deinceps ostendetur = 25 d seg.) maresic Z B= P - =+D3 quod itaque est Tolidum ex Trilineo CL A F Ag. 20. in alcieudines respectiras 2. Z f9. 9. dusto, 23. Fluic igirur Tolido, si addatur Colicum ex Bilineo C A v in easdem respectiras alcieudines due O, nempe ZD (per u 20;) aEBFCGAEU Z DZ P = 25+ D3 + 312 = Z D2 P- 35 D3, eR Tolidum ex Trilineo Cv A F fig. 20. in alcicudines Z Z f∞. 9. respectire ducto; sire ex omnibus Vvf8. 20. in respectiras J. X fg. 9. Eive ex omnibus Z Y in Q. X fg. 8. respectire. 24. Juam aurem rationem habet hoc Tolidum (ex omnibue ZZfg. 9. in V vA9. 20. respectire,) ad Colidum ex semiparabola F A C (hoc est, omnibus, 2. Z) Ag. 9 in A F f∞. 8. ubique ducta, hoc eH, ad Z D = P: (HAM DTOPTCF A C 2D, eC CF = 1, adeoque restangulum AC L= 2D E, erit ea semiparabola =D2 quippe Z restanguli; quae semiparabola, ducta in F A = 5P, dac Z D= P aonicudinem solidi, sire prismatis parabolici:) Fam habet momentum superficiei, in suo licu, quae tic ea Pemiconver- sione curVa C Z. A f9. 8. circa A F, respectu rectae CF, (hOc est, factum en semiperipheriis, ipsis Z X proporeionalibus, in distancias Vv, hoc est Z X, respectire,) ad momentum ejusdem suxerticiei ex puncto A suspenta, (hoc est, ad Factum ex iildem Temiperipheriis in distanciam A F ubique.) Ec conseguenter, ea- dem est ratio distanix ceneri graviratis ejusdem superticiei à recta F C, ad distanciam F A. Hem pC UC P - 25 D ad P. 25. Quod aurem omnes Z. V in B, SIC Z DZ P = 5 D, sIC Dederentim octendetur. Omnes Z V A9. 20. in 4 a, hoc eA (DTOPTeE C A 2 D) in respestira quadeaca distanciarum C Z) ad easdem omnes in quadratum C. A; SUHE uE iomentum (re- spectu rectae CC) Porcionis prismaris in suo lieu, oblique plano secti, Cuper crilineo C P A F crestae, alcicudinem habencis in puncto C nullam, ac super A L. recta xqualem LCA_ C A; 20 MOMeH. Fi8. 10.