# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/85138403X:0076 # Permalink to this reading: https://leibnizlegible.com/page/85138403X:0076?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 68, page id 85138403X:0076 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=85138403X&page=76 # Source image: https://digitale-sammlungen.gwlb.de/content/85138403X/jpgs/default/00000076.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 41 lines, status machine # Lines: 41 recognised, mean confidence 0.88 # 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 CYCLOTDF Satur per maenicudinem eranslocatx pareis divita, unde nabeacue MENTUCA PFOIOCIONIS cenEri GraVIcatIS quancum ad A F rectaM; hujusque semissis, distantia urique ejusdem centri a Bb, in can- dem magnicudinem irorum mulciplicata; prodibie Dividui se- missIs, nempe sE- D= P2 =-=D=, momentum iltius cranlocata partis, bilineo BC insistentis, respectu rectae BB. 7T. Deinde, super criangulo CBb rectilineo, incumbit cy- lindri quadrancalis porrio, cujus balis CbC quadrans circuli, al- cicudo Bb = Z F; momencum vero ejusdem respectu rectae BB elt 6D= D =, E D P2. Ouod eodem modo colligieur quo su- Pra ( 35 e (C99.) Colligitur momentum ejusmodi porcionis FXoGZ A3. 5. Cum enim illica 39 haDetuE , ZD = =, Z9Y, 3∞ momenei ausmentum (ob dicte portionis ibidem cranctationem respectu recta F A (Enempe incelligacur Y F A planum hori zonei parallelum) vel rectae Fe (siscilicet planum Y F p hori zonti parallelum incelligatur:) Adeoque ejuldem lemistis + SD 250D portioris dictae momentum respectu rectae Y2 vel Zu (prout haec vel illa incelligatur horizonri Parallela,) POsca quidem (quod illic supponitur) segmenti alcirudine Yv= = D LInde, Si Posier fuisset LV P (ProuE jam in casu cimili suxPO- nimus super aequalem balem porcionis alcicudinem Bb + P fuisset ejusdem MOIenEM respectu reSX YZ vel YV, S D. si= D= PZ. Ouod igitur est momentum porcionis Cylindri qua drantalis, criangulo C B b incumbentis, respectu rectae LB fg. 7. 72. Torius aurem Cxlindri quadrancalis, parallelogrammo BC incumbentis, momencu respectu ejusdem Bb rectae, elt : D. p 6qDP2, 2D2 p. Undes auferatur cum momencum Colidi bi- lineo BC insictentis, si2 D. P2 =22 D+ (∞70;) cum, C∞. st=D=p2 (7) momentum porcionis semicplindri crianeulo CBbincumbentis; hoc elt, 3D P- D momentum Colidi co- eius erilineo micto CBb incumbentis; manebic, DL momencum respectu ejuidem B b rectxe) Solidi insiltentis crilineo misto BCC H9. 7. nempe solidi ex omnibus VZ.X2 Y Ag. 7. uod 65 propo- nitur inquirendum. 7SLHaBIEO: PrOPEeE cuM AF A9. 20. duplam rectae c C 15.7. ad eoque e L. V f9. 10. duplas rectarum VL Fio. 7. tum V: D 218, 7, 23