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[Astronomiae Physicae & Geometricae Elementa] Astronomiæ Physicæ & Geometricæ Elementa, fol. 209

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. AB
  2. (0le8
  3. C pU
  4. odan
  5. UNTC.
  6. 259
  7. Vedia
  8. rUM
  9. AHUI
  10. mal
  11. et
  12. u
  13. pC
  14. tCs
  15. 10I
  16. Lib. III.
  17. _E CFEOMETRLCLE L LEMEN TA.
  18. 209
  19. ratio quadrati semidiametri ad integrum circulum; _ ex OrbiEX
  20. specie data, dabitur ratio media distantia B5 seu ca, e etiam semi-
  21. axisminoris Be ad excentricitatem
  22. SC; e inde ratio triansuli BCS ad
  23. radii quadratum; e ex ratione ar-
  24. cus altumpti a c ad circumterentia
  25. quadrantem aD, dabitur ratio sinu-
  26. um eorundem, (c. DC ad OF, Q CON
  27. sequentor etiam iptius BC ad aF; HOc
  28. CA, Per L. Fl. VI. ratio trianguli BCS
  29. ad cc5. In partibus erso quarum
  30. circulus continet 360, dantur sc.
  31. ctor acc de triangulum ccs, (cui
  32. analosum LCS Aiguationis Pars
  33. Physica dicitur, ficut AnguIUS SL C
  34. Pars Optica;) adeoque horum aggresatum aas trilineum, quod
  35. Prop. praeced. ostensum eAt proportionale eAe trilineo ALS, _F prO.
  36. inde Anomaliam mediam jure repralentare. Nam s OrDita FI.
  37. liptica ABP area tota in 360 partes aequales dirila concipiatur;
  38. illius ParS aL. S, nempe Anomalia media Planetae in L, tot ejusmodi
  39. partes continebit, quot acs continet partes similes area circularis
  40. aBP; adeoque eodem exprimetur nuerO. RursUS, in triangulo
  41. cCs, data ratione laterum e0, Cs (Distantia media Planeta à Solc
  42. ad Fxcentricitatem) et ansulo comprehenso acs, (allumpei nempe
  43. aCCi Complemento ad duos rectos,) dabitur (per XII. Datorum) anou
  44. luS aSc; adeoque d aSF Anomalia coxquata, nempe angulus cu-
  45. jus tansens PP. eA ad P. C tansentem ansuli asc prius inventi in
  46. ratione data Orbita Pemiaxis minoris cB ad semiaxem tajorem
  47. cD. Ft cum Anomalia media et vera; per calculum inventa, ci-
  48. dem astumpio arcui aa congruant, erunt e inter se congrux; five
  49. altera alteri correspondebit. Ft pari modo licet alium quemris
  50. arcum altimmere, ex congruas Anomalias (mediam sc. _ veram) inde
  51. calculo determinare, quae proinde erune inter se correspondentes.
  52. PROPOSEETO, II
  53. Ita Anomalia mediâ Planetae, cujus Orbita datur, Momaliam
  54. veram e Planetae Distantiam à Sole per calculum invenire,
  55. vicissim.
  56. Nullam dari calculi methodum directam Prablema hoc solvendi
  57. pronunciat Keplerus ad finem Part. IV. Physicae Caelestis. Ouomodo
  58. vero methodo indirecta _, ad usus Astronomicos satis accommodatd
  59. hujusce Problematis calculus absolri poterit, nunc ostendendum est.
  60. In circulo ADP, Orbitam in Aphetio de Perihelis tansente, Tuman.
  61. tur Anomalia PXCenEri arCUS aC, Vel ansuli ACC, per CingulOS Sra.
  62. dus se excedentes. Ad horum unumquemque (per pracedentem)
  63. inreniantur correspondentes Anomatia; media IC. _ Vera. POH
  64. conctitum er so, pro Planstx dibita data, Canonem Anomalix me.
  65. dia

Cite

[Astronomiae Physicae & Geometricae Elementa] Astronomiæ Physicæ & Geometricæ Elementa, fol. 209. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1040780814:0227?run=74