# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/85138403X:0065 # Permalink to this reading: https://leibnizlegible.com/page/85138403X:0065?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 49, page id 85138403X:0065 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=85138403X&page=65 # Source image: https://digitale-sammlungen.gwlb.de/content/85138403X/jpgs/default/00000065.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 42 lines, status machine # Lines: 42 recognised, mean confidence 0.89 # 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 CrCLOTDE 30. Ouod quidem omentum , D= P, si ex Parallelogrammi BC mOmentO ZD PX Z D = , D= P auferacur; manebit DE momenrum erilinei B cC respectu ejusdem Bb. (Idem urique aeque momentum erilinei Bb C respectu ejuIdem Bb.) 3r. Quod denique crilinei BcC momeneum, per ejusdem magnicudinem = D P = Z D. divisum, dat 8 P = 16 di- ctanciam ceneri graritaris dicri BC C eritinei d recta Bb. GuX icaque est ea PArSFCCEX B C = = D, que CMad FOTAM E D, UE 2 P ad 8 P in F6 D, CVC = D 2d 2 P 4D; hoc eA, UE AF 2d 4 A F 4F C. Ouod _ 26 propoluimus inquirendum. 32. Hlabica vero distancia ceneri gravitacis crilinei BCC à Bb; adeoque porrionis alcicudine super idem gravitaris cenerum, Quippe distantix quae ilti aequalis est, proprer alcicudine marima aequalem maximae diltancix, adeoque et seliquas reliquis, uepore proxorcionales;) nempe D 8 P= F6D. Si haec alticudo in batis maenicudinem ED P = Z D= dueaeurs habetur = D = P disX porcionis prismatis (erilineo B C C infiltentis) mienicudo: (Xequa- lis quidem momenro supra invento.) 33. Eiuldem reroporcionis prisiatis (crilineo B cC insisten- eis. Momencum, his pallibus inrestigamus. Si super Pemicirculum FB C Fg. L. erigatur semicplindri porcio, qualis F cC YZ fig. 5. alticudinem habens in F nullatr, in C VeTO C CL C F. Semicirculus basis est SD P; hic in alcicudinem super CenErO graricatis plani, hoc est in Z D, ductus, dac ia D. P inaenicudi nem expolica porcionis Semielindei. 34. Hujus vero portionis Semicplindri, cenerum gravitaris distat à plano in F eangence, secta F g= ZD (UE SuPEA 5 57;) quxe diltantia in magnicudinem = D P ducta, dac, 2 D. p momencum expolicx porcionis semicxlindri respectu cangeneis in F, hoc eAt F A fg. 1. 35. Ix hac vero semicylindri porrione, auferamus primo eamm iltius parrem quae quadeanci F Y Z H9. 5. iWhltic, (hoc est, qua- Oranti F C BFg. T. vel 7.) cujus magnicudinem primo, deinde momencum, sic inreltigauS. 36. Quadrantis F Y Zf9. 5. centrum eravieatis, a recta X2, distat F18. 50