Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 13

Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. Mean line confidence on this page: 0.89.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. DE OACLOTDE.
  2. K quae sit ad. EL. uE 7 ad 20 (quod quidem CCHETUM gravi-
  3. cacis eset E curracura fisurx demeretur; puca, E prolingulis
  4. remicirculis sive suxerticiebus semicylindricis circa axem AF
  5. incelliganeur cocidem linex rectae vel superticies planx plano
  6. C A F ad angulos rectos positxe arque ab eobilectx;) acque
  7. deinde in recta R x quae SE baSI A D perpendiculaTIS, CUMAEUE
  8. PTODTCE CURVATUITAM) uE C F ad F, A (hoc est, ut Diameter
  9. ad Semipecipheriam circuli,) sic n a ad n R, ( qua nempe
  10. ratione dividendus est axis semicirculi ue habeatur Pemiperi-
  11. Pheriae cenerum sravitacis:) Eric a cenerum gravicatis solidi ex.
  12. Semiconrertione Pcaperii V BV P circa rectam AV.
  13. 44. Cenerum aurem graricatis Colidi ex semiconvertione Tei-
  14. anguli, haberur, ( d rectae FZ puncto HI, quod jam incelliga-
  15. cur abscindere rectam LHI, quae sic ad FZ, uc 3 ad 4, (quod
  16. NEMpE CeHETUM SFaTICATIS CAeE (I dCMCTCEUF CUTVATUTA,) Per-
  17. Pendicularis Hn incelligatuE (PFOPEeE CUEraTOTam) ita dividi in
  18. ut modo divisius In in P. FLIEULIQVE D CeNFFUM GTAVILAEIS
  19. folidi ex semiconvertione Trianguli v FD circa rectam A F.
  20. Duamquam rerera perinde omnino est ad hoc negorium an
  21. ommino reperiantur puncta ∞, o, an cantum puncta HE, II: Nam
  22. eadem est diltantia, quantum ad rectam ~ F, punctorum I e 4,
  23. icem punctorum H ex p; e, Guancum ad recta A F, endem (al-
  24. cem distinciarum ratio, sire puncta I, F, sire P, 8, conside-
  25. FEHEUF.)
  26. 45. Cum igitur ratio distantiarum sive punCtorum X, II, Cive Ouamum
  27. D, D, a recta A F, SIC UE 20 4d 2, (ive 28 ad 30, vel 14 ad 25; distat ab
  28. et magnicudinum, uc 5 ad 2: Fric, quae ex his componitur, AF.
  29. TALIO MOIENEOEUI, ut 70 dd 30, Cive 7 dd 3. Duod cum ubique
  30. tac; eadem erir ex ratio momenei solidorum ex lemiconrertione
  31. craperiorum omnium ad omnium criangulorum (iC. converlo.
  32. rum momencum, hoc elt, momenti Colidi ex lemiconvertione se-
  33. micreloidis, ad momentum solidi ex semiconrertione semicie-
  34. culi, (circa rectam A F,) respectu rectae AF: Nempe uE 7 ad
  35. 3. Unde colligentur vuncta F, a, 8, ur supra. Nempe hiincel.
  36. ligatur C centrum grariraris folidi ex semiconvertione cisculi
  37. CirCa reCta A F, (quod punctum C dari suxpOnIMUS, vel, A
  38. exigacur, deinceps extribebimus 6 56;) _ Aac, uc 3 2d7, siC
  39. F C ad FF; ex deinde, ut 5 ad 3, sic FF ad F_; acque duca-
  40. EI

Cite

[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 13. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/85138403X:0029?run=74