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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. 684

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: 0.90.

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The machine reads it as

  1. B.
  2. De Calculo Centri Cravitatis. Cap. V
  3. In Semi-parabolocide Cubieo; distat a Fangente Verricis, 3 alcituci-
  4. nis; a Diametro B Laticudinis; vel Z Semi latitudinis.
  5. In Semi parabolocide Biquadratico; distat à Tangente Verticis, ; AI-
  6. titudinis; a Diametro, 3 Latitudinis; rel, 3 Semi-latitudinis.
  7. In Semi- parabolocide Supertolidali; distat a Tangente Verticis, E AI
  8. titudinis; a Diametro, I Latitudinis; vel,? Semilaticudinis. Pt Ai
  9. militer in Semiparabolocidibus sequentibus, mutatis mutandis.
  10. In Semiparabola Complemento; Diltat a recta per Complementi rer-
  11. ticem (qua est parabolae Diameter,) 3 Alcicudinis; d Diametro
  12. Complementi, (quae est Parabola Pansens in verrice,) id Laciru
  13. dinis; vel3 Semi-laticudinis.
  14. In Complemento Semiparabolocidis Cubicalis; Distat a rertice Paral-
  15. lelorammi circum seripei (ret Parabolocidis Diametro) 5 Altitudi-
  16. nis; à Diametro (rel Parabolocidis Langente in rertice,) i Latitu-
  17. dinis; vel 3 Semi-laticudinis.
  18. In Complemento semiparabolocidis Biquacraticalis; distat à verticis
  19. rectam (basi parallela) E Alcicudinis; a Diametro ejusus id Lacicudi-
  20. nis, vel Z Semi-laticudinis.
  21. In Complemento semiparaboloeidis supersolidalis; distat à verticis
  22. recta; Alcicudinis; a Diametro, Lacicudinis; rel i Semilatitudi-
  23. nis. Tit in sequentibus similiter, mutatis mutandis.
  24. Fisura Reciproca dimidiatae, secundum seriem cujus Index non est
  25. major, (hoc est, non minus negatirus,) quam -- 5, constitutae; Cen-
  26. erum Cravitatis non habent. Sin major sic index quam Z; (e.
  27. quuntur serierum directarum leges. Nempe.
  28. Si Index SE --- 3; Contrum graritatis distat a vertice ABuTX, 3 AItitu-
  29. dinis; ab ejus Diametro, Z Latitudinis (seu Ba(eos) Inscripei Pa-
  30. ralleloorammi; vel Z Semi-latitudinis.
  31. Si Index sit -- 1; distat a Vertice, 3 Altitudinis; d Diametro, E L. ati-
  32. tudinis; rel 3 Semi-laticudinis.
  33. Si Index sic - 3: distat a Vertice, 3 Altitudinis; a Diametro 8 L acitu-
  34. dinis; vel Z Semi-latitudinis. Et sic deinceps.
  35. Si Index siC = Z; distat a Vertice, 8 Alticudinis; a Diametro, Z Lati-
  36. cudinis; vel ? Semi-lacicudinis.
  37. Si Index sit =-3; distat à Vertice, i Altitudinis; à DiamCtTO, S Faci-
  38. cudinis; vel 3 Semi-latitudinis.
  39. Si Index sic --- 3; distat a Vertice, E Altitudinis; a DiamCErO, Z L ati-
  40. cudinis; rel ESemilaticudinis. Et in reliquis similiter, mutatis mu-
  41. tandis, Ret ex calculo judicium.
  42. In Figuris Solidis, idem plane obtinet atque in Planis, secundum cal-
  43. dem series conttructis; nisi quod, Pro Semi. L atitudine in planIS, PO-
  44. nenda erit in Solidis (in illo plano quod per diametrum axemre, et
  45. Centrum graritatis Basis, incedit,) Distantia Centri gravitatis BaliS,
  46. a Diametro vel AXC; vel, pro Laticudine in illis, Dupla illa Distan-
  47. ria in lis. Atque, pro Duplo Indicis, Indicis Sesqui alterum.
  48. Puta; Si seriei Index Sit, 2, 37 2 5, etC. 2, 37 475, dc.
  49. 43
  50. 3, etC.
  51. eC. quiq in Planis (ut dictum cAt) extribet 8, 163 12
  52. _C. 103 143 187 223 _C. 23 436, eC. 3, 2, 3, eC. Latitudinis; Yel 2,338, 2
  53. eC. 3, 33 33727 etC. 2, 2, 33 _C. 2, 4, 2, _c. Semilatitudinis: Substituen-
  54. dum erit, in Liguris Solidis, 3, 3, 17, 13, _C. 8, 173 22, 17, _C. 3, 3, 3, eC.
  55. 2,8, 18, _C. Distantiae Ceneri praritatis BaliS, d Diametro vel AXC.
  56. Llabet aurem Centrum Craritatis Figura Solican si seriei Index Paltem
  57. atast tibus ECtaol an 3
  58. Fie
  59. 132.
  60. 33
  61. 34
  62. e

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. 684. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0704?run=74