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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. 720

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: 0.85.

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  1. De Caleulo Centri Cravitatis.
  2. Cap. V.
  3. Atque haec demum, d BV, diltantia; in maenicudinem ducta; exhibet momen-
  4. 259, cum, respectu rectae BV, Segmenti BB A, 353 - a R f s R~ F aVR = 25VR
  5. 160. F52 = = e R f aVR - 55. PF semilesmenti BVA, = Z e R + Z aVR = 25.
  6. =+ZCN R + 35ZV.
  7. Deinde, Frianouli BBa, auc BV a distancia Cenri grariratis a 7a, est 2B
  8. ER - ZV: adeoque d Y A, 2 R - Zh = ZR f 3V. Ouxe in magnitudines
  9. (sB, ZsB,) ducta; exhribet Prianguli BBa, momentum respectu 70, 3sh = ZsR
  10. 352R = 35 ~2= 35 R = 3 5VR - 35; e, respectu YA, 2SBR = = 5B
  11. = 35 R7 + Z5VR = 352= Zs R = Zs VR Z53, e Frianguli BV a, momen.
  12. cum respectu rectae T e 3s h = 3s R - 35V R - =5; _, respectu recta L A,
  13. SBR - =5B = 2 5 R2 = = 5 ~ R +
  14. 13
  15. Oux quidem momenta, addica respectiris momenris Segmenti BB A, e Semi-
  16. seomenti BV A, (SL inventis) extribene Sectorum Ba B A, B a A, momenta re-
  17. spectu carundem ra T A. Nempe, Sectoris B a B A momencum respectu r a,
  18. a R F Z5 R = Z5VR = fR F ZSBR; d respectu rectae T A, a R2 f =5 R2
  19. F35VR = fR = = sBR: EF Sectoris Ba A, momencum respectu rectae Ta,
  20. 2fR2 F 6SBR; _ respectu TA, Z F R = ShR
  21. Fodem modo; Frianguli BCaq Centrum prariratis est in recta a P, qux Z
  22. puncto a ad medium rectae BC ducitur, ejuldem a e duas terrias verlus a abscin-
  23. dens. Fst aurem ipsius medii puncti B, eadem altitudo supra ra, quam habet
  24. rectae C. V medium punctum r; nempe ay = R = = X (prOuE Supra intrave Cen-
  25. erum fuerit V punctum; ) hoc ell, (uctoque casu) a y == = R = =2. Adeoque
  26. distancia Cenrri gravicaris TriansulI BC an d ra et 747 = R = 3 v; aeque
  27. EA, R + 3V.
  28. Adeoqué (propier magnicudinem Frianguli unius BC a = = SR, ee simul am-
  29. BOrum 2 B C. a = s R,) erit unius momentum respectu rectae r a Z5 R2 = LSVR
  30. e simul veriusque sR2 = Z 5VR: FF, respectu rectae T A, momentum unius
  31. 25 R +55V R; e Limul utriuIque sR = Z SVR.
  32. Duxe quidem addira momentis sectorum BCA, e BCBA, nemDC Z a R=
  33. F3SR, _ a R2 =Zs R= (per SI.) exhibent momentum, respectu rectae ra
  34. Sectoris Ba A, Z a RZ F 35 R = = ESVR = EF RE + Ssh R; e lectoris Ba B A,
  35. fR2 + EsB R: FF respectu rectae TA, momentum Sectoris B a A, Z a R2 = ZS R
  36. F55VR =Zf R = =sBR; et Sectoris Ba B A, momencum f R = 3sb R.
  37. UE PriUS.
  38. Aique haec demum momenta, per luas respectire planorum magnicudines (: F R,
  39. SR,) divila; exhibene ucriulvis sectoris B a A, B a B A, Cencri graricaris diltan.
  40. riam dr an R + ; et d F A, R - p; Adeoque alcicudinem ejus supra Cemrum
  41. C, vel CD rectam SB 25 R - 50
  42. 3a +35
  43. Similicer, Prianguli ABV, magnicudo, cst = sV; distancia cenri gravicacis d
  44. A, clt Z0; adeoque, d r aq 2 R = 3V; et propterea ejusdem momentum respe
  45. etu 7a, 5VR = 3 502 = 25V R + 353: e respectu T A, 3522 = =5VR -=
  46. 5
  47. Ouxe quidem momenta Subducta ex respectiris momeneis semisesmenti BVA,
  48. nemDC, Za R2 = = 5 R2. F = 5V R = 3 53, per SL.) relinquit Scsmenti AB A mo-
  49. menuim respectu Ta Z a R = = Zs R= + 65VR = Z C R2 F 550 R; et, respectu
  50. PA, ZA R =5 RZ
  51. 55VR = ZCR E = E5VR.
  52. Reque taec momenca, divisa per sectoris A B A magnicdinem, L C R (per 5G.)
  53. extibent dillanciam Ceniri pravicatis dr a, R f =; _ d Y A, R - ; adeoque
  54. supra DC,
  55. 5V
  56. 30 3a, 35
  57. Pariter, de Scementoa Ba judicandum; puta, Pro areu AB. = a, substicuendo
  58. arcum reliquum ad Semicirculum a B = a = = = a: _ PrO LNuverSO A V = V,
  59. Tubstimendo aV = h = 2 R - 2: item PFO T A tangente contermino arcui AB,
  60. substiuendo ra tansentem concerminum ips a B; et, vice verta, T A prO Y a
  61. Ouippe
  62. F18.
  63. 1.

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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. 720. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0740?run=74