# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/85138403X:0072 # Permalink to this reading: https://leibnizlegible.com/page/85138403X:0072?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 56, page id 85138403X:0072 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=85138403X&page=72 # Source image: https://digitale-sammlungen.gwlb.de/content/85138403X/jpgs/default/00000072.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 44 lines, status machine # Lines: 44 recognised, mean confidence 0.87 # 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. t Suxerticiei semicy lindricx recta C A aequali descripexe, distonriam a convertionis axe habentis iph LA aequalem; uc omnia quadraca Votig. 20. ad roridem quadeaca A F; hoc elt, ut omnia VL9 F 2VZ. XZD + 209, ad coridem AF9. 59. Duam aurem habent rationem omnia Zvg ad omnia AFq, GC aN :D= a 2 colligieuT. FR recta L v =- a2. D= a (DEF A FY,) ergo2v9 92 Sed onnia a= D = ad roridem D =, (UNEUE X ad 3; 8 omnia a+ ad coridem D, uc T ad s: FFGO OMmMIA a= D= -aF 2d 10. 2D-- a tidem D+ UE Z = Z ad L, SIVe VE 2 ad Z5. Adeoq; omnii ad tocidé D2, hoc est (PTOPTeF C A = 2D) ad 2D3, uE 2 ad15. Tdeoque = D aggregacum omnium Zug. 60. Deinde omnia VZ9ad coridem AF9, PunE ut ornes circuli radiorum ZV ad eoridem circulos radtiorum A F: hoc eHt, uc soli- dum convertione crilinei CZ. AF circa C A descriprum, ad Coli- dum descriprum lunili convertione circum scripei P’arallelogram. mi; hoc elt, uc momentum ejusdem Trilinei ad momenci cir- cumseripei Paralleloorammi, respectu ejusdem C A rectae; hoc es, uc momentum Trilinei B, C C fg.7. ad monientum BC Paralleloorammi sibi circumferipri, respectu rectae cB; hoc CA, uE p2 = 8D= ad PE. Nam crilinei C PB maenicudo eA =D=; ejusque centri oraviearis a cB distantia, (eadem urique cum distancia ceneri gravitatis crilinei C BF ab eadem cB,) est =D, (Per 199; Adeoque momentum =D2 LD =FD3: Ouod quidem momentum si ex Paralleloorammi CB momento, oDP = = = DP X =P, auFera- cur; relinquit E DP2= =DC, momentum crilinei BCC respectu BC rectx. Quod itaque ad =DP momentum C B parallelo. Grammi, est uE P = BD ad P=, CIVC VEFA9L 2FC9ad FP9. 62. Ouod iptum sic etiam probaus alias. Si duci intelli- SaTUF, In Hg. 7. recta C A (quam per B cransituram cercum eHt) Triangulum reccilineum C AF aequale Ret Trilineo C Z A F mi- Ctilineo: Ouod quidem miltilineum a reccilineo in hoceantum difterr, quod segmentum illud B A curra e rectd comprehen- Tum, a (EU B A in CEum BC cransfercur. Ex hac aurem dicri seg- menci cranslacione, quod oritur discrimen hoc eAt: Solidum ex conversione crilinei misti CirCA FC OrtUM, eM (per 68Z) LP3 ER= P, Sive +P. -=D= P; Solidum seu C onus ex simili conver- tione Eig. 10. F18.7