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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. 748

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: 0.82.

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The machine reads it as

  1. 160.
  2. De Calculo Centri Cravitatis.
  3. Cap. V
  4. Fis 159, nem a a TOn BV = S,) Tunt ut bales C a Ba; hoc CAt C a, V a; Seu, R, B: Puta
  5. 25 R, ZSB. Distatque illius Cenerum graricaris ab A a (recta planove) Z V B = 35
  6. Rujus vero, ZBV = 25. Frunque, propterea, eorum momenta relpectu A a, ut
  7. 55 R, 3SE B. AdEOGUE MOmEnCIM tOTII SS2R F SS? B, per cotam magnicudi
  8. nem Zs R F=sh dirilum, exhribet corus Fraperii dictanciam CenCI BPAVITaLIS,
  9. quod puncto B delignacum incelligatur (ioro scilicet Praperio, in rectam cni in-
  10. Sleie, B Ci projecto, ) ab Aa R + 252 B
  11. R + 2B
  12. 35R + 35B 3R = 3h
  13. = 87. Adeogue (PrOP.
  14. tex similia Friansula BVC, B, C,) ut BV = s, ad V C = x; GCBY, ad rC. -
  15. R = 2l
  16. L 2B
  17. 3R F = G V. Sumpeaqne a3 =Z a B, (ductaque, ut
  18. 3R F 3G~. FL 7a = se
  19. B7, _C BC, ipti r a pacallela, d erie a C. = + 0 7 = 3 R + R + 2B, p = 3 RL
  20. 5R - 2.2
  21. 4 R + 4B
  22. Ex, diltancia Centri praricaris pyramidis a (plavo Tangente ) r a. H0c
  23. 2R = 42
  24. est (Propiex v = R = 0, supra Cenrum, addendum; vel x = = X + v, intra
  25. Centrum, auterendum; adeoque L v = R - v,) 3 R 1 5 R 7v R + 2 v
  26. 7 R2 = 5VR L v2 7 R2 = 3VR = 52
  27. SR = 2V
  28. 12 R = 40
  29. 6X = 20. Acque haec distaneia, in Pramidis
  30. magnicudinem ducta, hoc ct, (per SM. prop. praecect.) in Z5 R. - 55V R, exhibet
  31. eyramidis illius respectu ra momencum 7 _ = 3V R 5
  32. e
  33. 5 A
  34. 3 3
  35. A3 -
  36. 25VR2 = 353 R. Atque hocdemum momentum, lubductum ex momento Dnou-
  37. la Sectori Ba A insistentis, (aciem item habentis 7 a) respectu iptus Fa; hoc
  38. el (uES W. ) Cx ZaR3 F s R - 35V R2 - 35 R, relinquit momencum On.
  39. sulxe Sectori BC A insilteneis, aciem habenus Za respectu iphusr a, 3a R3
  40. EsR3 = FsV R. (Semilolidique correlpondentis momentum, hujus duplum.)
  41. Duod quidem Ungulae (ipsi BC. A insiltencis) momencum, per magnicudinem
  42. Ea R + 55R (ut SI. prOP. praeced.) diritum, exhibet ejuldem Centri grarica-
  43. vis dillanciam d ra, 25 a = 195 R = 3 52
  44. 12a+ 85
  45. (Adeoque Semisolidi correspon.
  46. 34F + 258
  47. R; prpore adt
  48. illam Cngulae ut 4 R adt P.) DC proxterea dillancia Ceneri pravicatis Ongula,
  49. a TA, 3 a R - 35 R + 352
  50. 12a f85
  51. ; Ongulaque iltius (Sectori BC A insistentis, aciem
  52. habenris r a) momencum respectu T A, 3a R3 - 55 R3 + 55V R2. (Ouod Se.
  53. misolido Facile accommodabitur.
  54. Auc etiam, propier P pramidis illius, Friangulo B Ca, incunbeniis, magnitudi.
  55. 30R -
  56. nem = S X = 85VR; Cenriguo gravicacis a r. a distanciam 6R = 2V Cut
  57. dictum ett,) adeoque d Y A
  58. 5X - v R + 5
  59. 6R = 2V
  60. eric ejuldem, respectu F A, mo.
  61. mentum BS R3 = i. 5V R2. + 3 53 R. Ouod quidem momento Ongulae sectori
  62. Ba A incumbentis (aciem habeneis ra) respectu T A, 3a R3 + 2SR3 + 5~R
  63. L 3S3R, (ut SW.) Tublacum; relinquit Ongula Sectori BC A intiltenis.
  64. aciem habentis ra, momeneum respectu T A, 3a R, = 85 R3 F s5VR7. (IC
  65. DriuS.
  66. Oux rero Friangulo illi B Ca insistit Semiquadranicalis Ingula aciem habens
  67. TA, idem plane haber respectu ra momentum, quod habet respectu T A ea qua
  68. aciem habet sa; (Propter Alcicudines de Distancias ubique reciprocatas, ue pridem
  69. aliquories:) HIoC eltus (ur modo ostentum est) 3s R3 = 1SV R2 = L53 R; quod
  70. per Ongulae magnimdinem Zs R F S5V R (ut SM. PCOP. praced.) diritum; ex
  71. hiber sui Cencri praricatis diltantiam a ran
  72. R2 - v R +5
  73. 6R + 22 Adeoque, d F A,
  74. 7X.

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. 748. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0768?run=74