Leibniz Legible

Machine transcription of the Leibniz Nachlass

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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. 767

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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The machine reads it as

  1. et
  2. PFOP. XVIII. DeCaleulo Centri Cravitatis.
  3. dittantia Ceneri pravicalio a plano a ra,
  4. 3CR = = 35VR2 = 253. R
  5. 12VR2 65R = 6v2R
  6. a plano 2 a n, 3 R + 5 b; a Y A, 3 R
  7. =3e R= + 4 aV R + 5~R = 2a5,
  8. 4V B 252 = 2 ∞
  9. 2 ; ab A a
  10. Porcionis A R Ba; Maeuituelo, 2v R; distaneia Cenrri pravicatis à plano 1.
  11. ATa =P momentum respectu ejusdem Ara plani (crecti)
  12. JC R3 F=50 R2; distantia Ceneri gravitatis a FA, vel ra (hoc CA,
  13. a planis suxer rectas illas erectis,) R; momentum respectu T A, vel
  14. 2a 20 X3; distantia Ceneri gravicatis ab Aa, a = ; momentum
  15. respectu A d 2av R= 20 R3.
  16. Portionis AKBB; Magnicudo, v R; distantia Ceneri Bravitatis a FA
  17. vel bB, 30; d Fe Z. R 7 2V; ab AC, a -; a Pla1O Ara + 5y
  18. momentum relpectu TA, vel BB, Z2R; respectUTa, 2V R2 - = V R;
  19. respectu Aa, av2R = ev R; resrectu plani (crecti) ATOn à C VR 2
  20. F a 5~ R.
  21. relie
  22. Portionis bBaB; Masnitudo, vh R = s R: Distantia Ceneri sravitatis a B.
  23. plano A_ F; momentum respectu ra in crecto plano Ara
  24. chR- Fs R: Diltaricia Ceneri pravitatis ab crecto plano ran, ZB; F.
  25. momentum relpectu ra in crecto plano ran, SR - = sV R = Es BR:
  26. Dittantia Certri cravitatis ab Aa =C F a2; momencum respectu HI.
  27. Aa, = 2CR3 = ev R F a s R.
  28. Sesmenti Solidi ABB; Maenicudo, 5 V P: Momentum respectu ra in B.
  29. crecto planio Ar a = +0 se 3 f + av R2 = = s R; dictancia Ceneri gravi. D.
  30. cacis a planO Ar a, = 3C R F 3av R = 5: Momentum respectu ra P
  31. 62
  32. In CrectO PlanO TaN, ZV. R3 = 5 s R = 5 sV R; distancia Ceneri Bra-
  33. vitatis a plano ran, 3 R = Zh; _ d bB, 3R = 3 B = 5V; d FA, 30:
  34. momentum respectu bB, 3vR3 = 3 st R2 - 6S VR = 6V R; respecto
  35. TA, 3V R; Momencum respectu Aey ZCR + 250R 2 - 3 a S R; di
  36. stanria Ceneri gravitatis ab Aa, 3C R = = 35VR - 2a5
  37. 4V R = 25 = 202
  38. P A R S S F CV N D A.
  39. POrrO; Si Ipet AF a (Figura Sinuum vertorum, Arenumre,) Soli X.
  40. dum insistat; alticudinem habens, in singulis b B rectis (seu arcu- F18.
  41. bus in rectas expansis,) aequalem respectiris BV in Semicirculo, 260,
  42. (eorum respectire arcuum sinibus rectis:) Solidi sic constructi, 170.
  43. Parciumque ejusdem, cum magnicudines, cum momenta, et Centra
  44. Graricatis innotelcunt.
  45. Nempe: (retentis symbolis, ut in propositionibus prxecedentibus ;)
  46. Solidi corius a ra sic constructi; Magnicudo, is RP Z: MOmEnTuM rC. K
  47. spectu Y A, i6 R2 P 2 F3 R; respectu Ta, is R2∞2 - 3 Ra; dictanLia M.
  48. Ceneri cravicatis a FA, R +
  49. R.
  50. ri a ra R - 34 L. Momencum N
  51. respectu

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. 767. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0787?run=74