Search the Nachlass

[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. 817

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: 0.74.

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

The machine reads it as

  1. O
  2. PFOD. XXI. De Calculo Centri Cravitatis.
  3. F7
  4. -3a = 1 a5t - , 3 s R. - ha5VR - , 2 v R; dlictamia CCntri Era vitatiS a FiB. 166.
  5. +a, 3 - 292R. - 962 R + 240a 5 k + 64 5 R = 120 a5V- 5651y
  6. 5422 - 384 R = 216 a = 432a 5, + 192vR - 1205
  7. lA,
  8. colc. 21t
  9. 3R. f 292 R. = 96v R2 + 240as R + 64 57 R = 120 4 5V - 56. 5 7 011. Ys9 -
  10. 54 P2 - 38 + R = = 2164 2 = 43245 f F92VR = 7205 2
  11. mentum respectu Aa, is R P3 = ab R3P = 32 C R3 + 3aV R + 55VR2
  12. 2a3 R = 3a 2sR 845E P = 58s R; distantia Centri stavitaris ab A4,
  13. 0P3 - +05R P = 1740R] + 292aV( + 1650 R = 72a = 21645 = 12045 - 2853
  14. 2.7- 192. (7 F96vA 108a 22645-6057
  15. N.
  16. Ongulae Fraverii bea V, aciem habentisra; Magnitudo, , ab. F 5 5 H; F.
  17. momentum respectura, 3ah + Lsb; respectu T A, ap= P + 3 5H K
  18. = 3a b3 = = sB.; dictantia Centri GravitaLiS a F a,
  19. 2R-
  20. 12 + 3.
  21. 4a F 35
  22. 8a +
  23. id ea
  24. b: Momentum respectu A0, 1aeB2 f sast f sseh; dictanria C en- R.
  25. eri gravitatis ab A 0, ; a f 425 f. 35
  26. 22 a + 85 73a. + 35. f
  27. et
  28. Acienque habentis F A; Magnicudo; 2 aB R F 5B R = 2 aB 1IBE5 B 2l. F.
  29. momentum respectu ra ahR = 3sB R = Z a B = = sB; respeCtUTA.
  30. 4ab R2 + 2sB R2 = 2 ah R = 3sh R + 5ah3 + 5h3; dittantia Ceneri
  31. B
  32. 25BR FB2
  33. 13BA - 6. t a R + 12 5 Re = 6aB = 4 5 B; d F A,, 2 R -
  34. 24 a R + 125 P = 6 aB = 4 5: Momentum respectu A∞, sabR K.
  35. F 35BR a h-hast - 5sh; dictantia Centri sravitatis ab Aa ta +
  36. 252R = f5B
  37. 25 98 a R = 24 5 R = 22 a B - 85B
  38. es
  39. Aciemque habentis Aa; Masnieudo, 2f ah F Es2 B; MOmentum re-
  40. Spectu ran 102B + 3a5h + 55 2 h2; respectu TA, faB R + ss BR ta B
  41. =Jaot -ss. H; distancia Ceneri pravicatis a ren : B. f 2 a sh + s b
  42. 2R - +B -
  43. 2 a s B + s? B
  44. 125 a = 4 52, id TA,
  45. 12Sa t +s: Momencum resrectu Aa, 5 a. B + ; a 5B. F
  46. as b F i. s b; distancia Cencri gravicaris ab A, + +64e 5. + 4as + 5
  47. 65a + 25
  48. Ongula Segmenti Semiereloidis bV A, aciem habentis P A; MTonie
  49. do, = = e R + a v R F 3 52 R = 5a5 - 55; momentum respectu I A,
  50. = C R3 + 3 a0 R = 852R - 3 a52 R - 38 5 R = 5 a 52 V - + 53V; rC(DC-
  51. Au ra, = 2eR3 + 3av R 2 + 85VR= = 5 a 52 R = 165 R + 3 a 52 V + ; 52v;
  52. resrectu bV, ZCR3 + 3aV R = + 35VR -- 5 aS R = 3 S R - a5V- s V;
  53. distantia Centri eravicatis a TA, 5R +-
  54. dFa, ZR -
  55. (= 8R = B)
  56. 6fVR- 3(5R - 4252 V - 35V
  57. 65VR = - 3552R = 4452 v - 253=
  58. 3C R = 12aV R + 95u R = 6a5 = 453i abV, v - 3 X
  59. R.
  60. F
  61. esoR - 35s R(= 3 f22 ) = 4a5 v - 3 5. v: HOMeH R
  62. 30R = 12a0 R + 950R = 64 52- 45
  63. Tum respectu A a, - 522R2 + 2a5 R = + 252R2 - 4 ~ R3 + Za = V R +
  64. 245VR = 18S2 V R = , a2 53 = 3 a s = 6s; distancia Ceneri gravitatis ab
  65. L. IIIV

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. 817. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0837?run=74