Leibniz Legible

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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. 801

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.

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

The machine reads it as

  1. PFOP. XX. DeCalculo Centri Cravitatis.
  2. = 35BR; distantia Centri BraVITatS a Xay 3 X =
  3. 3R +
  4. T7, 2aR = 3 a 5 R f 3 s2 R + EB R.
  5. l
  6. 18 a - 18,i d FA, FP. 105.
  7. momencum respectu
  8. Traperii bBa V; Magnicudo ah F L SB: NOmENEUM rESPeCtU Ta, = aB= B.
  9. +55B; respectu TA, 2ah R F sh R = Za h- 3sb; diltancia Concri F.
  10. eraritatis a ra,
  11. + 25 B; a F A, 2 R - 3 a. + 2 5 B: HOMENtIM sC. K.
  12. 6a Y
  13. spectu A an Efa B = 3s h; dictantia Centri eravicacis ab A a,
  14. 3Fa +5
  15. 6 a + 35
  16. Scementi Semiescloidis, bV A; Magnicudo, - : e R + av + 3 5y: MO. B
  17. mentum respectu ra, = Z eR~ F aV R F Z5V R F 3 a5 F 55; respectu P
  18. TA, = E e R, + aV R + 35VR = 2a5 - 553; e respectu DV, L0 R 2
  19. =LavR F Z 52R L3 a s = 353; distantia Ceneri Gravitatis a 7a,
  20. dete F 12av R. f 3 50R +6a5 + 45
  21. =6cR = T2 aV + 65V
  22. dTA, = 3C R + 12avR + 950 P- 625 - 45
  23. 2 bV, 3C R 2 + 6 av R. + 95VR = 6a s = 35
  24. 6eR F 12aV +657
  25. -60R + 1222 +650
  26. =: Momentum respectu Aam R. P.
  27. = + a R F = a sR + 1 3 s R = 3V R7 + : a v + 5 a 5∞ + 55. v; distantia C en.
  28. eri Graritatis ab A an Z a - 8 R = = 3a5 R = 5 R = 3 a5V - 25 v
  29. 6a R +65 R + 22a0 +650
  30. Trilinei AbI; Masniendo, ZC R F Z SV: Momentum respectu TA,
  31. B.
  32. aCR2 + 4 5~R = 35; respectu Ta, de R2 + 35 V R + 3s; resvectU BV, C.
  33. Le R =5 av R F 2 5V R = 35: distantia Centri Bravitatis a T A,
  34. E -
  35. 3eR + 350
  36. Momentum respectu A an 3V R + + a R = =_ 5 R = 1 s R + 3a 50+ 3 5 v:
  37. distancia Cerri scavicatis ab Aa, 3oN +3 a. N- 6 asA- 5 R + 6as0 + 4sV
  38. 60 R + 650
  39. R
  40. Adeoque exhibentur cum torius Semiercloidis, tum ejusdem Parrium N
  41. expositarum, Magnicudines, e. Momenta respectu rectarum expo-
  42. scarum, iplaque Centra graritatis.
  43. Ouae autem de Momencis hic cradita sunt; ad Ongularum maonien-
  44. dines, et Solidorum convertione factorum, Facile transferuntur. PF
  45. planorum hic consideratorum momenta, (propter data ipta C’en-
  46. era graritatis,) respectu rectarum aliarum, quocunque siu Polita
  47. rum, Facile haberi poctunt.
  48. Fademque omnia qua de his expolicis ercloidis portionibus Ea
  49. duntur; ad alias icem, rariis modis abscistas, Facile erit accommo-
  50. dare; addicionibus et subductionibus, prouc res poctularerit, act
  51. tribitis.
  52. Ouaque de Creloide primaria jam tracuntur; Ad Crcloides PIO. N
  53. cractas ex Concractasu Facile TranStCTUNTUT.
  54. CTTupec ra recta, insillens Circulus (quem Circulum Generantem, Teu Cceni.
  55. R
  56. Deorem dicimus,) puncto sui b (quod punctum lineans appella bimIS) Fectam in Fi3. 166
  57. cangens; qui super eactem secta volri incelligatur (mocu concinuo ee aequabili
  58. Tilii
  59. Deripherii

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. 801. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0821?run=74