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[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 198

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: 0.89.

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

The machine reads it as

  1. PTTTLOSOPMLA NATDRALIS
  2. Corol. 1. Unde a Solidum
  3. Cylindrus sic, Parallelogrammo
  4. AD F. B Circa aXCM AB reVO-
  5. luto delcripeus, ec vires ceneri-
  6. pecae in lingula ejus puncta ten-
  7. dentes sint reciproce ut quadra-
  8. ea dictantiarum a punctis: crit
  9. attractio corpusculi F in hunc
  10. Cylindrum ut AB-- F F. + D D.
  11. Nam ordinatim applicata FR
  12. (Der CorOl. L. PFOD. ZC) CTIEUET -
  13. ritudinem AB, describit arcam IZ AB; Sc parS alCcla
  14. Cucla
  15. in longicudinem F B, describit aream + in F F = AD (id quod
  16. ex CUEVX L. IK quadracura Facile octendi potest:) de similiter pars
  17. eadem ducta in longitudinem P A describit arcam F in F D - A D.
  18. ductaque in ipsarum F B, F A differentiam AB describit arcarum
  19. differentiam + in Z F = F D. De contento primo 1 X AB aute-
  20. ratur contentum postremum r in Z F. = F D, S restabitarca L. AB1
  21. aequalis + in AB - PF + P D. Ergo ris, huic arex proportiona
  22. lIs, eAt ut AB = P F. + F D
  23. Corol. 2. Tlinc etiam
  24. vis innoteseit qua Sphae-
  25. rois AG BC D actrahie
  26. corpus quodris P, exte-
  27. rius in axc UO AB A
  28. EUM. SIE NK R NISC.
  29. etio Conica cujus ordi-
  30. narim applicata F R, ipAI
  31. D F perpendicularis, x
  32. quecur semper longitu.
  33. dini F D, Quae ducitur
  34. ad punctum illud D, in
  35. quo applicata icta Sphaeroidem secat. A Sphaeroidis verticibus ,B
  36. ad ejus axem AB crisantur perpendicula AR, B M ipsiS AP, BF
  37. aequalia respectire, ec propterea Sectioni Conicie occurrentia in R
  38. e M; ee junsatur R M auterens ab eadem sexmentum K M R K.
  39. Sit aurem Sphaeroidis centrum s’ec semidiamerer maxima sC: de vis
  40. in lon-
  41. Ua
  42. juS parS
  43. B
  44. DD MOrD
  45. CORPOLbM

Cite

[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 198. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1041163592:0232?run=74