# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/85138403X:0069 # Permalink to this reading: https://leibnizlegible.com/page/85138403X:0069?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 53, page id 85138403X:0069 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=85138403X&page=69 # Source image: https://digitale-sammlungen.gwlb.de/content/85138403X/jpgs/default/00000069.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 40 lines, status machine # Lines: 40 recognised, mean confidence 0.90 # 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 CTCFOTOL 48. Inceori rero Prismatis, eidem B cC crilineo insillentis, ex punctoC suspen, momentum respectu ejusdem B rectae, SiC habetur. Prismaris hujus basis est ipsum crilineum BCC = =D Y D (Per = 20) quae in alcicudinem ZD ducta, dat D= P FD prismatis maenitudinem, quae in distanciam b C = =D ducta, dac 3 = D P - D Prismatis ex puncto C suspenli momentum respectu rectae LD, 49. Racio igitur momenei Porrionis prismatis in suo fieu, ad monenrum prisnatis integri ex puncto C Tuspenti, respectue jusdem Bb recta, CAt (per 47, 48,) ue,dD. P D= ad; ZD P un 16 ; hoc Cct, uE 3 P = 4 D ad 9 P = +B D. (7UIX FaTIO ∞ 25 proxonitur inveltiganda. 50. Flanc aurem racionem sic inventam, eandem eRe arque ra- cionem omnium Z. V Ag. Tc. in qa 2 respectire ductorum, ad eas- dem omnes QV in quidrarum recta CA; jam supra oltentum Cs = 25. ACOIHeS Z V, hoc est crilineum CZ AF, hoc est DP = 2D (Per = 1O) in C A = 2D dusta, danE2 D= P = qD2 prismaris magnicudinem; quae irerum in 2D diltantiam ducta, dac 4 D P=8 D= monentum dicti prismatis incegri crilineo C. Z AF Ag. 20. insiltencis, ex puncto A suspenti, respectu rectx C C. SF. Adeoque (PrOpter rationem 3 P - 4 D ad ) P = 28D, = 43 invencam) eric 3P - 4D OP - +8D in 4D: P = 8 D, hoc est 72P - 16D D, momentum exposicxe porcionis prismatis crilineo CZ A F insistenis, in SuO Situ, respectu C C rect; hoc est, Fa- ctu ex omnibus Z. V in 4 a respectire: Et consequenter (divi- dendoper + D) erit 3- a D2, hoc eAt =D . P = FD, Factu ex eisdem omnibus 2. V in respectire ductis. Quod 22, 25. Sulcepimus octendendum. 52. Ouod autem omnes a D: V: D= L a; EIDE ad DC cories Cumptum, ue x ad 5, (quod 20 probandum sulcepimus,) sic octendicus, ex principiis noltrae Arithmeticae Insinicorum. In. Finica