# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/85138403X:0071 # Permalink to this reading: https://leibnizlegible.com/page/85138403X:0071?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 55, page id 85138403X:0071 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=85138403X&page=71 # Source image: https://digitale-sammlungen.gwlb.de/content/85138403X/jpgs/default/00000071.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 42 lines, status machine # Lines: 42 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 CTOLOEDE. Ex (CMICONVEHLONC CVEVA A C (H8. L. Vel 8) cirea A F, delignan- Supersiciei, SUML REQUIEUHEUE. 55. Superest, ut centrum gravitaris superficiei, quae Semicon- sione circt vertione ejusdem C a curvae circa C F converlae describieur, C F facta, invelligemus. Duod quidem jam parrim peractum cAt. GUUm centrum; CHIML (DEOPEET BIHdEU GLaMCICaCuM secipIOCatiOneS, uE aliquo quantum di- ties dictum elt,) idem siC, respectu rectX A F, momeneum su- stat ab AF. perticiei quae convertione C A currae circa C F describieur; ac- que, respectu rectae C F, momentum Puperficiei quae ejusdem CirCa A P convertione describitur: Sirque hoc superius inveneum =23: Licia illud CMILIEET INVeNEUM CFIE. 56. Invenimus urique (= 23) Eocta ex omnibus Z Z in Z. Y A9. 8. respectire ductis (curra C A in punctis J aqualicer divi- la) esse ZD= P,- E3D. Adeoque (pro Ridiis relticuendo ubi- que Peripherias, hoc est, dividendo per ZD e mulciplicando per E) erit =DP. = =FD P momencum circulorum onnium punctis Z descriprorum, sire radiis Z. Z in distuntiis Z. Y suspentorum, sive radiis Z Y in diltanciis Z Z Suspentorum; hoc ett, superficiei convertione C A curra circa A F descripcae, respectu rectae C F vel, conrertione circa CP, respectu reCtX A L. 57. HIOc itaque superficiei mOmenEUM COnreRSIOnC CIECAC F delcriptae, li per ejusdem magnicudinem, hoc est, Der 2 D2- LE RP (UE supra 16,) vel 2 P =SDP, diridarur; habebieur 30P = 52D 15 P.60D distancia centri geavicaris superficiei conver- sione (vel semiconvertione) curVX C A circa C F descriprae, ab A F recta. 58. Omancum aurem idem gravicaris cenerum (superficiei ex distat à CL lemiconvertione C A currae circa F C descriprae) ab F C diltac, sic inguirimus. Semiperipheriarum punctis Z Ag. 8. circa FC descripearum, cum magnicudines, cum e carundem centrorum Gravitatis ab F C distancia, sune rectis Z. Y proportionales. Froo singularum momenra respectu ejusdem F C, Tuneuc quadrara rc- L18.0, 10 ctarum L X Ag. 8. hoc est (per _ 8) rectarum V vHg. 1O. A- deoque omnium momenea lune ad momenta coridem cadio l A delcripearum; Hloc elt, momentum superficiei quae Pemicon- VerLIONE CUIVX C A AB. B. circa FC deleribicur, ad momencum suxerticiei miconver F18.8. Onantum