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. 752

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: 0.76.

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

The machine reads it as

  1. De Calculo Centri Cravitatis.
  2. sil
  3. tane
  4. =LL. LVTY, 3
  5. 1
  6. CapN.
  7. A.
  8. 1e AAEVIE Mi
  9. Fisura Sinuum Versorum, ut A Z a; (quxe eadem est Fisura Arcuum:)
  10. Fis. 169, Fst Semicirculi correspondentis Dupla; e partes, parrium (respecti-
  11. 70.
  12. B. C.
  13. ve lumpearum,) Duple; Puta, BBa A = 2B a A. Et sicubique.
  14. Nomenta vero illorum, ad momenta horum, respectu ejuldem ra
  15. cansentis, suneut 3 ad 2, sen sesquialtera. .
  16. LLCILI
  17. Acquehinc, eadem respectire determinantur, tum quod ad Magnitu
  18. dines, cum quod ad Momenta, e Centra graritatis, in hac sinuum
  19. Versorum Figura; quae supra in Semicirculo (ProP. 15.) determi-
  20. nantur. Nempe; (retentis Sybolis ut in propositionibus praece-
  21. dencibus) ssc o coli
  22. Fritinei ATa; Maenicudo = RP: MOmentum Fe(PECtu Za, 3R2 P; xe-
  23. spectu T A, 3R= Z; distantia Ceneri GraVItatIS 2 ra, 3R; d T A, ZR:
  24. MOmeKTuI respect AC, S XD 23: relpectu Y1, 3RD, +2 R;
  25. distancta Ceneri sravicaris ab A a, + 8- 4 A
  26. ; 2 F X, +F 2
  27. B. D. Porcionis b Pa. A; Magnicudo, f P: Momentum respectu ra, 2S P2 + sbR;
  28. respectu Y A, 3Y R. = sb R; dittancia Centri pravicatio a ra,
  29. e
  30. 5. BetiCCBil EM d 5 1 S
  31. R + =; a FA, ZR - : NIOmeHTuM FeSPECEU Aa, = a R F as R V R;
  32. respectu b; Ja P F vR.; distantia Cenrri pravicais ab N a,
  33. a2 2 a5 2 V R
  34. 2 + 2V R
  35. 2a + 25 1 d b3 2a f 25
  36. B. F. Portionis ABK; Magnitudo, CR: Nomentum respectu TA, 3C R 2-
  37. sd R; releecturo, sC P + s0 R; distancia Cexeri eravitatis, d F A,
  38. illo
  39. 3R 18
  40. 461
  41. 4C
  42. VRZ; respectu BBK, 3a R= V R; distantia Ceneri gravicatis ab Aa,
  43. 4 2a5+ 2V R
  44. 2a -25 it 4 P, B A
  45. a2+ 2, ~ Reorur renssi
  46. B. E. Portionis BB~; MasnieudO, a R = SR: NIOMCHEIM reSpeCtu Na, ZLR=
  47. sisb, respectu F _, 3a p 35 R + i SB R; diltania C ey.
  48. Eri gravitaris d = ay, 3. R = = ; a FA, : R +: Momentum
  49. 4.
  50. retrectarF, La R= q5 P F B R relpectu BB, ; a R = B Re; distantia
  51. =26s
  52. Centri eravicatio d , 2 2 C 5. + 3 bR. 2BB, 20 = 25
  53. 1. 2. 8 2 5
  54. B. F. Parallelosrammi bBaB; Magnieudo, ab = 2 a R = a v: Distantia Cen-
  55. eri Sraritatis a ro, = B; 2 T A, 2 R -= Zb; momentum respectu ta; abe:
  56. respectu TR, 2abR = 3 ab =2a R2 - - a02: Diltantia Ceneri oxa
  57. vitatis ab Aa, seu b B, La; momentum respectu Ao, vel BB, 3 a2 b.
  58. B. F. Portionis bBA; Maenitudo f R = ab = -- c R F aV: Momentum respe
  59. Au 7a3 = 3CR + avR - 5 50 R + 3as; relrectu F A, =3C R + avR
  60. +: 50R =3as; distaneia Ceneri eravicacis 2 r a, Z R - SvR - 2a5
  61. a Fa: t
  62. fDR = 2 a 52
  63. =4et + qavi d bB, 0 - : R-
  64. foR = 2452 4e R + 4a0
  65. +e P + cavimomenrum
  66. respectu
  67. C.
  68. P A RS P R L M A:
  69. est

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. 752. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0772?run=74