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[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 447

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: 0.83.

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

The machine reads it as

  1. PRINCIPTA MATHEMATTCA.
  2. 447
  3. intervalla quacerna divisas c, 20, _c. _ sic deinceps; id CAt, IFa LIBEN
  4. UE SIC 3 =
  5. 2a
  6. 3 2C =
  7. 2
  8. 3
  9. X
  10. 3 36
  11. C- DP
  12. F
  13. dc. dein
  14. 3 3c - 3b = 4
  15. KMI. dec. Postea d:
  16. =_c. Inrentis disserentiis, dic ATI = a, -YIS = p,
  17. P in -15 = g, g in + SR = r, r in + SF. = 5, 5 in + SM = t;
  18. pergendo scilicet ad ulque perpendiculum penultimum MF, ec erit
  19. ordinacim applicata RS = a + bp + c9 + dx + es + ft, ecc.
  20. Corol. Tlinc arex curvarum omnium invenri postunt quampro-
  21. xime. Nam Ei currae cujueris quadrandae inveniantur puncta ali-
  22. quoc, ee Parabola per eadem duei intelligatur: erit arca P’arabola
  23. hujus eadem quam proxime cum arca curra illius quadrandae.
  24. Pocest autem P’arabola, per Mechodos nocissimas, lemper quadrari
  25. Creometrice.
  26. L F. MI M A VI.
  27. Ea observaris aliquot locis Cometae invenire locum ejus ad
  28. tempus quodvis intermedium datum.
  29. DCTIOMeNE ETY, YK, KL, F M cempora inter observatiOnCSS
  30. (in Fis. praeced.) II1, IB, KC, L. D, MF. obserratas quinque
  31. Ponsitudines Comctx, LIS tempus dacum inter obserrationem pri-
  32. mam ex lonsicudinem guaelitam. EE E Der puncta , B, C, D, P.
  33. duci intelligatur, curra regularis ABCDF; et per Temma Cupe-
  34. rius inveniatur ejus ordinatim applicata RS, erit RS longitudo
  35. Quae(Ita.
  36. Eadem methodo ex obserratis quinque lacicudinibus invenitur
  37. laticudo ad tempus datum.
  38. Si lonsitudinum obserratarum parvae sinc ditterentia, puta gra-
  39. duum tancum 4 vel 5; Suffecerine obserrationes tres vel quatuor
  40. ad inveniendam lonsitudinem ec lacicudinem novam. Sin majores
  41. uinc disterentix, puca graduum 10 vel 20, debebune obserrationes
  42. quinque adhiberi.
  43. Tensto
  44. I. F. MM A

Cite

[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 447. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1041163592:0481?run=74