# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/85138403X:0103 # Permalink to this reading: https://leibnizlegible.com/page/85138403X:0103?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 87, page id 85138403X:0103 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=85138403X&page=103 # Source image: https://digitale-sammlungen.gwlb.de/content/85138403X/jpgs/default/00000103.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 52 lines, status machine # Lines: 52 recognised, mean confidence 0.85 # 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. DF CISSOFDC. in ratione radiorum C L., hoc est a: erune omnia MOMCHEA Su- perticierum illarum semicylindricarum, series a a D. vet Cujus seriei rario ad seriem aequalium, sc colligieur: Ceries va inverse ductain series 1. a. ae FatIONCS Z 2X2 2Z2X4 2X2XAX6 at. eec. dabie 2X2X 4X6Z8 9. OZLY GXILKTZ OXLIXLZXLG OHIIXI3XI 5X17 aC. Adeoque cum series N’a in leriem v’a inverse ducta (uE ex inquilitione primum facta colligIEuF) SIE UE -= X 3X5, 7 2D 6 8 TC ad T. noc estuc 7 2d64∞; suxplebimus incerjecta loca ad hanc Foimam. empe series rainverse ducta In series , -. 1. Va. a. N a. a. V a. _c. dabie ratio ne Y 272 7 2 2X2XA 7 10- 6409 64+ 9XII 64∞ 12, 9XIIX1364D 12 14 8c, Momencum igicur superficierum omnium ex rectarum L L circa C a Peniconrertione Factarum, in Tuo scuS hoc elt, solidi ex Temiconvertione spatii Cipsoidalis circa C a momentum in suo situ, respectu Ca rectaes elt, ad toridem A qualia, nempe momenca cocidem superficierum, rectis C F aequalibus in distantiis C F. seriiconversis Factarum, in distantia mavima suspensarum, ue 20 640 ad 2, Sive uc 35 2d321. Est aucem magnicudo ad magnicudinem, ux 5 ad 4 ∞ (momentis urique planorum Dro- porcionales:) Ergo distancia ad distantia ut 7 ad 8. Nempe Z ictius diltancix quam habet cenerum graviearis senicirculi radio CF delcripei ab ipso C: quae quidem non est FOLA C F recta, sed (PrO- Pcer curracuram semicircularem) illa ejus pars quae est ad coram uE Diamerer ad Semiperipheriam. Similicer, facta convertione circa F A, Pemicylindricae su- perticies rectis L. Z delCrIPEX LuInE uE Va in N: D = a: (quippe momentis rectarum proportionales;) diltantia vero centrorum superficierum illarum lune uE radii convertonis, sive di- Ctanciae D= a; Ergo superticierum illarum mOmeDEa, SUNE ACY a, I D una, in V:D a. sve uCD N a n V a in ViOa