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[Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica, fol. 802

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: 0.91.

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The machine reads it as

  1. Cap. V.
  2. COntraCtC KUNNOE1SS5,) dicenda: utpote quae non tam Circulo similem, quam eN cir-
  3. Manifestum autem est, (ex constructione
  4. Cveloidis,) non modo Peripheriam Cirenli
  5. Generantis intepram (propter concinuam lui
  6. guxe supponitur ad rectam r a applicationem)
  7. iphira aequalem esle; (adeoque semissem le-
  8. milli ec. puta curvam Semicirculi a B A, re-
  9. Etx 78, Sc.) Sed e, particulatim, dum Cir-
  10. culus Crenicor, Balin in B contingens, puncto
  11. Tuo lineante delignat Cycloidis punctum b;
  12. rectam rB ( propter eandem continuam cpxpuo-
  13. zlu) curra bB aequalem esle; hoc est, (ducta
  14. recta bB V Basi parallela, qua occurrat in B
  15. Circulo Genitori cirea Cyeloidis Axem consti-
  16. cuTO, Axique in V,) curra aB: Adeoque
  17. et reliquam reliquae; nempe rectam Ba, HOC
  18. eA BB, ipsi B A curra. Ec sic ubique.
  19. Et propterca: Rectam b V, ubique aequa-
  20. lem elle, aggresaro Areus ee Sinus recti, Sinni
  21. verto V A compecentium; puta (rerencis Sym.
  22. bolis propoticionum pracedencium) bV =
  23. BA F BV =- a Y 5. Acque hoc inditteren-
  24. ter, sire sIE V punctum, supra C Cenerum
  25. circuli Generancis, live intra, sire denique in
  26. ipso C. puncto.
  27. Ductisque Ba, bB, rectis; TunE (Per 33.
  28. EI. 6. Fucliais) Anguli Ba A, proportiona.
  29. les iplis quibus insiltune Arcubus B A; hoc elt
  30. rectis bB, Tcu Ba: Adeoque anguli B a 2, hoc
  31. eltus BB7, arcubus Ba Seu BB; hoc elt rectIs
  32. B7. Nempe, (propter angulum in centro
  33. duplum Anguli in Peripheria, per 20. F. L. 3.
  34. VErB recta, hoc est arcus, Bb, Teu aB, act
  35. Semiperipheriam a B A, vel huic aequalem re-
  36. Etam 7 a; Tic angulus bBr, hoc et B ar, ad
  37. A ar rectum.
  38. Dirisa itaque ra in partes quortibet aequa
  39. les, in punctis 8, , s C,E, ec. ductisque, ab
  40. his punctis contactus ad punctum lineans, re-
  41. Atis F, 2C, 8d, 62, EX, ec. (quibus paralle.
  42. Iae sint in Scmicireulo, a L, a aD, à L, a Z
  43. ec. arcuum arithmetice proporcionalium sub.
  44. ten(:) erunq cum anguli F87, c27, 487, 2lr,
  45. XET, _c. tum, his aequales, PaT, F ar, Dar.
  46. Z ar, Z a r, _c. arichmerice proportionales:
  47. Forumque communis excellus, primo aequa
  48. lis; puta Fp7, rel Par; Nempe, Ca parS an-
  49. culi rectius quae ell Te tocusr_; Teu arcus Fan Semiperipherix a F A.
  50. Diritis aurem hoc meco, cum semieyeloide rectis Le, Ci d5, ec. rum semieie.
  51. culo-
  52. De Calculo Centri Cravitatis.
  53. 602.
  54. Fig. 166. Peripheria Tua (concinua ad rectam applicatione) commensurans aequalem rectam
  55. tem rectam (Bali perpendiculares) aC A, Crcloidis Avem.
  56. Crrace Konnois, KinnoISO,) Pocus quat C. ides (hoc elt, Konnociss, Konnoast
  57. culo oriundam, lioeam vel tiguram indicat.
  58. 7 ar, donec b punctum lineans, in sublime latum, (adeoque curram suo mocu
  59. describens bB,) cireuien Facto, eandem 2a2 rectam, (in ejuldem altero extremo
  60. 7,) iterum contingat: (dum interim Centrum tuum c, rectam c Cic deseribar, ipsi
  61. 20r parallelam ex aequalem:) Curram bD descriptam, Lineam Crcloidem appel-
  62. labimus: Rectam ra, Croloics Basin: Figuram curra illa et Base comprehenlam,
  63. 2T A, Fieuram Crcloidem: Pjusque semillem ra A, Semisreloidem: Er hilecan.
  64. Crcloidis autem Nomen, quod spectat, Vaur (mihi faltem) Cyclois (hoc ett,

Cite

[Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica, fol. 802. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0822?run=74