Search the Nachlass

[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 371

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: 0.93.

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

The machine reads it as

  1. DRTNCTPTA MATEIEMAEIOA.
  2. Luna, determinarit quod clonsatio maxima heliocentrica Sacelli- L. IDEK
  3. tis extimi forialis a cenero Joris in medioeri joris a Sole distan- Lrerio
  4. Eia SIE 8. 222, de diameter joris 41. Ex duratione Pclipseon
  5. Sacellicum in umbram Poris incidentium prodie haec diameter
  6. quali 40 atque adeo semidiameter 20. Mensuravit autem LLu-
  7. senius clonsationem maximam heliocentricam Sacellitis a sc de-
  8. cecti 3. 20 a centro Saturnis ex hujus clonsationis pars quarca,
  9. nempe 50 est diameter annuli Saturni e Sole rilis ec diameter 52-
  10. curni cA ad diametrum annuli ut 4 2d 9, ideoque lemidiameter
  11. Saturni e Sole visi est i. Subducatur lux crracica quxe hauc
  12. minor esse solet quam 2 vel 3: FF manebit lemidiameter Saturni
  13. quasi o. Fx hilce autem ex Solis semidiametro mediocri 10. 6
  14. compucum incundo prodeunt verx Solis, Toris, Sacurni ac Perrx
  15. Cemidiameeri ad invicem uc 10000, 1077, 889 ex 104. Inde,
  16. cum pondera aequalium corporum a ceneris Solis, foris, Sacurni
  17. ac Terrae aequalicer distancium, sinc in Solem, Torem, Saturnum
  18. aC Terram, ut 13 1035 29 et72 respectire, ex auctis vel dimi-
  19. nutis distantiis pondera diminuantur vel augeantur in duplicara
  20. ratione: pondera aequalium corporum in Solem, Torem, Sacur-
  21. num ac Terram in dictantiis 10000, 1077, 889, ec 104 ab corum
  22. centris, atque adeo in eorum Cupertciebus, crunt ut 10000, 835)
  23. 525, ec 410 respectire. Ouanta sine pondera corporum in super-
  24. ticie Lunxe dicemus in sequentibus.
  25. Corol. 2. Innotescit etiam quantitas materiae in Planetis singulis.
  26. Nam quantitares materix in Planeris CunE ue eorum rires in equa-
  27. libus distantiis ab eorum centris, id cAt, in Sole, Jove, Sacurno ac
  28. PerrA SUnE UE 13 1039 ZD _C yB respectire. Si parallaxis Solis
  29. ctacuatur major vel minor quam 10 debebit quantitas materix in
  30. Perra augeri vel diminui in triplicata ratione.
  31. Corol. 3. Innocescune etiam densitates Planetarum. Nam Pon-
  32. dera corporum aequalium ec homogeneorum in Sphaeras homoze-
  33. neas sune in superticiebus Sphaerarum ut Sphaerarum diametri, pec
  34. PrOD. EXHIT. Lib. I. ideoque Sphaerarum hecerogenearum densi-
  35. cates sune ut pondera illa applicata ad Sphaerarum diametros.
  36. Franc autem rerxe Solis, joris, Sacurni ac Terrae diametri ad invi-
  37. cem ut 10000, 2077, 889, ec 104, ec pondera in coldem ut 10000,
  38. 835, 525, _ 4 20, e propterca denlitates TuInE uE 100, 78, 59.
  39. ec 396. Denlitas Terrx quae prodit ex hoc COmpuTO non pendct
  40. parallari Solis, sed dererminacur per parallaxiu Lunae, e prop.
  41. cerea

Cite

[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 371. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1041163592:0405?run=74