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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. 740

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: 0.81.

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  1. De Calculo Centri Cravitatis. Cap. V.
  2. d
  3. Fi∞. DCOB. Praecccl. ) 5 P= 22
  4. 150.
  5. 160. que habeneis T A, momenrum (respectu A0,)
  6. Panciague P + 30
  7. 4R F 80
  8. 7R- 30
  9. 20R 80
  10. R +30 fx, magnicudo,
  11. 24
  12. + 22
  13. Aciem.
  14. Et Semiquadrancalis Uneulae suver Friangulo B V a. = BC a = BV C, aciem ha.
  15. bentis ra, momencum (respectu A a) S _ = 2V 52 _ + 7 R = 38 si v; hoc est
  16. (prOpter x = R = 2, supra centrum, addendum; vel v = - R + v, intea
  17. Cencrum, auterendum;) R = 2~,. X +
  18. 4
  19. 22- 200R + 30
  20. 24
  21. 5
  22. 12 R = 120 R + 30 5; vel (pCOpier V = 2y R - 5,) 3 5 ) - : s v R
  23. 2.4
  24. Sst = 5S H; (US P.) Adeoque (PrOPIermaz. 3 R - 5 + 5R - 20
  25. 3R - ~, P +5 R= = 7v R + 2V
  26. 5 X
  27. 35R, = 352 R = 3 5~ = 85R2
  28. = 35VR - 3 5 = = 5B; UE SM. PEOB. PEACCd.) dictancia Cenri graritatis ab
  29. A a 85. Aciemque habenris T A; momentum (uc S F.) ; s2 B R = f s2 B2:
  30. 1
  31. maenicudo (uc BM. prOP. Pracec. ) sB R = sH: distantiaque
  32. 2R + 3V
  33. 8R + 80
  34. 8R. L 3B
  35. 24R 8b
  36. Ongulaque Semiguactrantalis super Friangulo B A V, aciem habenris Z a mo-
  37. mentum respectu Aa est (Ut S G, ) SV R F 55; e magnieudo (propter mag
  38. nicudinem Prianguli Zsv; distantiamque Ceneri pravitatis a L A = V, e 2 7 a
  39. 2R - 30,) 52R- 35~ = 352 R +35; ee dultanria Centri sraritatis ab Ae
  40. 2V R + 35
  41. 8VX = 8, 5. Aciemque habentis PA, momentum respectu A ay = S2 V R
  42. Ssi magnicudo, 5V = 3 52 R = ; P; Cenerique praricatis ab A e distantia,
  43. 6VR = Z52
  44. 160R - 8
  45. de EescnrArE eru
  46. Et Semiquadrantalis Oneulae super A B A Segmento, aciem habenris Za, mo-
  47. mencum respectu Aa, est (uc SC.) Z V R = 6S R L =S V R = 5V R L 2S VR:
  48. magnimido (per SN. pr. praeced.) = a R? = = 5 R = 55V X; Cenerique gravicatis
  49. ab A a distantia, 4+ 2 = 2 5 R + 5 v
  50. 4 X- 2B R
  51. 6a R = 65 R +25V 6cR + 25V
  52. V. Acienique haben.
  53. tiS TA, momentum ZV R3 = 5s R2 - , 2 s V R = d V R = i S V R; magnicudo.
  54. 3a R = = sR = 6svR; distantiaque 4 2 N- 2. s R- 5 v 4 R 2b s
  55. 6aR = 65R 25V GCR = 25V
  56. Atque jam (inter, alia) Solidorum Semisectoris BCA, B a A, aut semisexmenci
  57. B V A, Seomencire AB a (nedtum Friangulorum BCa BC. V, BAY, B Ha, dC.)
  58. circa Aa integra convertione deseriptorum, Cenra. graricatis determinarimus:
  59. Ostendimus urique, distantiam Cencri graritatis a T a, Y A, BV, _C. Acque in
  60. iDlo AXC Aa sicum elles constat, Ex prOP. 5 hujus. Iplum iaque punctum de-
  61. terminarimus.
  62. Fctimiliter, Cencra pravicais Solidorum incesrorum, quae (non modo sectoris
  63. BC B, vel BaB; Vel Sesmenci BBA; uc quae in medio Axis conrertionis esse ma-
  64. nifectum est; sed e) Semilectoris BC. A, vel Ba A, auc Semisegmenti B V A,
  65. Segmentire ABA, circa 7a vel F A, aut eriam Semilesmenei BV A cirea BV,
  66. convertione incesra deseribuntur, determinarimus. Cum enim eorum distancias
  67. ab Aa plano designarimus, eaque in ipso convertionis AxC Fa TA, vet BV,
  68. este contter (per s hujVS:) iela Axis puncta, quae Cena gravitaris funt, deter-
  69. MinRnTT.
  70. Verum
  71. N

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. 740. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0760?run=74