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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. 716

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.

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

The machine reads it as

  1. ll. T. V
  2. I
  3. N
  4. DeCalculo Centri Cravitatis.
  5. Cap. V
  6. DR F 35V R + 353; respectu TA, EC R2 F 35VR - 35; distantia
  7. centrigravicatis a ra, R f -
  8. 3e Rt 50∞
  9. V,
  10. 3C _ + 359i d F A, B
  11. 3C R + 358i aDC,
  12. ZCK F 350 R + v; momentum respectu BV,
  13. = 20 R + sa0 R - 8s3: Momencum respectu Ao, 3V R - 55 R + 3V
  14. 2
  15. =6u2 R + 55v; distantia Centri eravitatis ab A an ZC R + 25y
  16. Frianguli Ba V, masuieudo :50: Distantia Ceneri gravitatis a YA, Z0;
  17. 27 4, 2R - Z ; momentum respectu r a, SVR = 3502; respectu l’A,
  18. 3502: Distantia Ceneri sravicatis ab Aa, 35; momentum respectu
  19. A03 352 V.
  20. Seementi ABA, maguiendo sC R: MOMCnFM respectu F∞, 3C R +
  21. su ; relpectu FA, LC R - 3 sV R; distantia Ceneri eravicatis a DC,
  22. 3
  23. aras R. + =; a F A R - : Momentum respectu Aa, 5v2 R: di.
  24. SdeBStiL 13C
  25. mraricia Concri Bravicatis ab A
  26. Ex similicer de scemento a Ban mutaris mutandis.
  27. Citere
  28. Frianculi, BCq, magnicudo s R: Centri stavicaris distantia à t a,
  29. 15V; a L A, R F :V; insTaDC, 3; momencu respectu + a, 25 p2
  30. e6sR; respectu. LA, 35 R F 5SV R: Distancia cenrei scabicatis ab
  31. A0, 3s; momentum relpectu A a, 5S2 R.
  32. Triansuli BV a magnieudo Zsh: Dictantia ceneri sravitaris a r a, =B;
  33. dTA, 2 R- Zh; momentum respectura, z sh2; resrectu T A, shR -
  34. S. Y. sb2: Distantia Ceneri sravicaris ab Aa, 35i momenrum respectuAa
  35. IL.
  36. 352B. Ae 5010d
  37. Sectoris Ba A, magnicudo : s P: Momentum respectu r ay 2F R +, 5SBR;
  38. respectu TA, 2 s R. = EsB P; distaneia ceneri Gravicatis a 7 oy R +;
  39. c.
  40. 2 PA, R = =; aDC, =: Momentum respectu A a, 50 R2 = 3SER;
  41. 3)
  42. 20k +
  43. Ceneri eravitatis inde distancia, =
  44. 5
  45. Momenta autem eadem sune ubique ee Semiquadrantales Dnoulx: 5o-
  46. lidaque respectira intesra convertione facta, sunt ad Ongulas illas,
  47. ut P’ad R; et Semisolida, eorum Semisses; quod et proportionaliter
  48. incelligendum est de Solidis aliis impertecta conversione factis.
  49. O. P. X. Ouxeque de Momentis et Solidisrespectu rectarum F A, Fa DC, BV.
  50. dlcta lunc; Facile transterentur ad alias rectas hilce parallelas: Pt
  51. quae respectu Aa, ad alias huic parallelas: Aut (propter ipsa C en-
  52. Era Graritatis elanorum data) ad alias CtiaM RECtAS LTANSFETENEUT.
  53. Ouxque de Circulo dicta sunt, ejusque Portionibus; endem FI-
  54. ripl ex porcionibus hujets, facile aecommodantur.
  55. Ncelligatur Circuli Sector CB AB, vel C Ba B, (major, minor, an aequalis Se
  56. lmicireulo, perinde est:) ex intinitis numero sectoribus componi: Sire, quod
  57. (propter intinitatem) eodem recidic, ex cocidem criangulis, invicem aequalibus:
  58. (quorum communis rertex siC C CenErUIm:) per det. L. C aP. 4. Oux cocidem re
  59. etis (ut eorundem Triangulorum AXibus) repraesententur, ut CB. Cumque (per
  60. prop. 6 hujus) Cencrum gravicatis in Friangulo, Alcicudinis Priente d Bale diltet,
  61. (sire, a parallelo plano per Verricem, duobus Friencibus;) Si Radio Cb = 3C B,
  62. deseribatur

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. 716. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0736?run=74