Leibniz Legible

Machine transcription of the Leibniz Nachlass

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Nicolai Mercatoris Holsati, è Soc. Reg. Institutionum Astronomicarum Libri Duo, De Motu Astrorum Communi & Proprio, Secundum Hypotheses Veterum & Recentiorum præcipuas; Deqve Hypotheseon ex observatis constructione, fol. 190

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: 0.91.

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

The machine reads it as

  1. ASTRONOMTA.
  2. ib. L
  3. horum quoque locorum distantix verxe, anguli scilicet a 5b,
  4. b56, a56. Dantur vero etiam medii mocus Solis consiu
  5. entes incerrallis remporariis obserrationum ab, bc, ab
  6. quae quidem interralla ex acnotacis obserracionum momentt
  7. nota lunc, habenique eandem racionem ad cempuS 1OII
  8. rerolurionis Solis, nimirum ad 365 d. 5 H. 49M.
  9. ansuliafb, bf0, a fc, habene ad eoram peripheriam.
  10. 1a1
  11. retere, quod de secundis d certiis. Supra horas de minu
  12. Periodi Solis, lis est incer AAronomOS, ca enim hic
  13. inctar habene. Dacis aurem hoc modo angulis ad.
  14. centro f, incerrallo fA aequali de linex tori ap (idur
  15. cinetur peripheria ABC.C, quam productx c foco
  16. b, c, rectae secent in A, B, C; jungancurquesA, sB
  17. Erumtriangula sa A, sb B, scC iloscelia; quandoc
  18. ex nacura ellipseos ipsi de (i. c. f A) aequatur sa
  19. quare ablacâ urrinque fa, rectats a = a A. Fr∞C
  20. Sulus fas (exterrius (c. triangulo a A 5) duplus erit a
  21. a A5, ec per eandem rationem fb s, duplus crit
  22. bB5, denique fcs duplus ipsiuscC. s. Autex jam ar
  23. asb ab afb, e rectabir summa angulorum sa fc
  24. Nam angulus sa f est differentia partium af d e as
  25. alcer angulus sbf differentia caterarum parrium b fdC
  26. Juare cum dencur rori anguli a sb e a fb, dabitur e
  27. ma differentiarum sa fec sb f, quarum dimidiorum
  28. e sBF, Cive as A _ bsB summa addira angulo a
  29. ansulum AsB. Ec Cimili raione invenientur anguli
  30. _ASC. Datis autem hoc pacto angulis, quos recta
  31. urumque focum efficiun eductae ad A, B, C; producat
  32. asin C, junsancurque B C, C. 6. Primum in eriansu
  33. sBC datorum angulorum (liquidem B sC est complemet
  34. rum daci AsB ad 28O gract. _ sO B dimidius est dalu
  35. A fB) actumatur sB pro arbitxio quotcunque parrium, pula
  36. 200000, invenietur per Trisonometriam sO in iildem par.
  37. tibus. Fursus in triansulo sC G dantux L. sO modo In
  38. venta, 2. CsC complemencum dari A5 C ad 180 514d.
  39. B. SC C dimidius dari A fC; erso invenietur sC. POrO

Cite

Nicolai Mercatoris Holsati, è Soc. Reg. Institutionum Astronomicarum Libri Duo, De Motu Astrorum Communi & Proprio, Secundum Hypotheses Veterum & Recentiorum præcipuas; Deqve Hypotheseon ex observatis constructione, fol. 190. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/820424455:0212?run=74