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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. 745

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: 0.80.

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The machine reads it as

  1. PFOD. XVI. De Calculo Centri Ciravitatis.
  2. distanciam ab C oppotita) ra de R3 + 9 5V R = 65. X + 6
  3. 22C R = 1250R - 8
  4. Sete + 60uR = 453. Acque d B V, 2 R - B +
  5. 3V
  6. 1
  7. 5e2
  8. 6ese + 65u R - 45
  9. V
  10. ScR= +650R = 4 5id Z. A 3 = SC R2 + 650 R - 4. 53: Ungulaque
  11. PrOPterea, respectu BV, momentum = 3e R3 L Z aV R 2 = bS V R2 L 3 53R -
  12. 1E53V; e respectu iptius P A (aciei TuX ) momentum SC R3 = 3SVR = = ZS R
  13. 2530: Flujusque duplum, ZCR3 = Z5VR2 -353 R = 353V, momentum Se
  14. mitolidi correspondencis. Hlujusque propterea Semisolidi distantia Ceneri grari
  15. caris 2 T A (anC su0) cAt R-
  16. 653Vrit
  17. raq (aui oppolica) 2 P - 5 R 3C R + 3 50 R D = 2 5. 2; aleoque 2
  18. v
  19. 3C R P + 35VRP = 255∞ . Ejulque
  20. momencum respectu hujus r oy L0 R P + 3 5u R ~ - 5 53 P - = C R = 2 5V R
  21. +353R F L53∞
  22. Ee Speciatim, quae cori Semicireuto aDa insistic Vneula, aciem habens, sire
  23. a sire T A; momentum habet (peopter s -0, e 0 = a = ZP,) respectu ca
  24. rum alterius, nempe aciei sua, 1SRP; alterIUS verO, quae aciei OppONITE,
  25. 8R3 F; Adeoque Centri graricaris distantiam inde, J R; hinc, 3 R. Ft corre.
  26. spondentis semisolidi convertione lacti, momenium respectu asis conversionis lua,
  27. 3R P; Cencrique pravicaris inde distantia erit x. Onde habetur ejuldem
  28. ab altero extremo distantia, et momentum respectu istiuis.
  29. Deinde; ut HaC Ad AXeM B V, ErANSFErAntIE; (Der S F. prOP. FF. hujuS: ) EX
  30. Ongulae Semisesmenti BV A, aciem habentis PA, momento respectu ra modo
  31. invento, Se R3 = 35VR2 -253 R f 553V; s auteratur factum ex Onsula mag-
  32. nicudine Z C R2 F ZSVR - 353, in a V = B ducta, hoc el, =CB R = = Z5VBR-
  33. 253B == ECBR 2 F Z53R - 353B, (DFODCer BV = 5 =,) hoc et, CR3 = = eVR
  34. + =53R = Z 53 R + 553V = = cR3 = Z a V R = = L5V R Z 657 R + 353V: Ouod
  35. restat = SC R = Z a V R = = 85 V. R = - , 35 R - 35 2V, elt ejusdem VngulX BV A
  36. aciem habencis TA, momencum respectu BV; (quod S P. alicer ostentum elt:) Pjus-
  37. que Ceniri graricatis distancia a B V = 2SC R = L2aVR - 35VR - 25 R -2532
  38. 2
  39. =0 - Z R F 6CR2 + 650R = 453
  40. 12CR = F 725VR = 853
  41. Idemque haberur, si ejuldem Cencri di
  42. stancia d T A, auteratur ex AV = v, (aue ab ejus d ra distancia auteratur
  43. B = 2 R - v;) ut habeacur illius a BV distancia; acque haec d B V distancia du
  44. cacur in magnicudinem Ingulae, ut trabeatur momencim: (ue S F. factum est. )
  45. Eiiurovis modo, habebicur Semilolidi correspondenismomencum respectu ejusdem
  46. BV; Cencriqi craricatis inde diltancia: Nempe, distancia, -
  47. ∞ + v; ee momentum, 1 SuR D - : X
  48. 35 R +
  49. 6532
  50. 3et P + 35V XP - 25
  51. 5308
  52. 6X = 3CR = 25V R +
  53. FX Ingula vero semilesmenti BV A, aciem habentis Ta; puta Y VFA (AB.
  54. 24T.) auterendum primo factum ex plano BV A in a V, pura Prisina V Ya A,
  55. uE habeatur rat, leu V AF, Ingula ejusdem balis aciem habens BV: AIque eX
  56. momenco istius Ongula respectu ejuldem 2 ∞ hoc est, ex 3C R3 f 35VR2 +
  57. 13S R = = 53~ (per ST.) auterendum illius Priimaris relpectu ejuldem r a mo-
  58. mencum; hoc est, plani BV A momencum, in VV, Peu à V = h ductum; hoc
  59. clt (per SL. DEOV. PraCCd.) ZCB R = + 55VB R = 353B = e R 3 - Z a V R2
  60. 5VR + 8
  61. V; ue habeatur momencum Onsulae BV AF (SemiseB
  62. mento BV A intiltencis, aciem habemtis BV,) respectu ipsius 7a, = d C R3 +
  63. av R +552R = R + 5 53V. (Idem acque momenium respectu BV,
  64. Bbbbb
  65. aciem
  66. 16C

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. 745. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0765?run=74