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[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 142

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.

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The machine reads it as

  1. MMtipepiII
  2. +42
  3. PTITLOSODHTME NATVRALIS
  4. DeMoro Globi inverse, ee subduplicata ratione Vis absolucx Globi eciam
  5. inverse. 2. P. I.
  6. Corol. 2. Flinc etiam Oscillantium, Cadencium ex Rerolvencium
  7. corporum tempora poluneincer se conterri. PTam (I ROEX, qu2 Cy
  8. elois intra globum describitur, diameter consticuatur aequalis semi-
  9. dliametro globi, Crelois eradet Linea recta per centrum globi tran-
  10. sens. ec Oscillatio jam erit descensus ee sublequens ascensus in hac
  11. recta. Unde datur tum tempus descensus de loco quoris ad
  12. centrum, tum tempus huic aequale quo corpus uniformiter cir-
  13. ea centrum globi ad distantiam quamris revolvendo arcum qua-
  14. drantalem deseribit. FK enim hoc tempus (per Casum secun-
  15. dum) ad cempus semioscillationis in Creloide quavis RS ut
  16. + ad y t
  17. AC
  18. Corol. 2. Flinc etiam consectantur quae Wrennus et Tucenius de
  19. Creloide vulgari adinvenerunt. Nam si Globi diameter augeatur
  20. in infinitum: mutabitur ejus superticies sphaerica in planum, Vilque
  21. centripeta asec unitormiter secundum lincas huic plano perpendi-
  22. culares, ex Crelois nostra abibit in Creloidem vulgi. IHo autem
  23. in casu lonsitudo arcus Cyeloidis, inter planum illud de punctum
  24. describens, aequalis eradet quadruplicato linui verlo dimidii arcus
  25. Rotae inter idem planum ex punctum describens; ut invenit Wren-
  26. nus: EF Pendulum incer duas ejusmodi Creloides in simili e x
  27. quali Creloide cemporibus aequalibus Oscillabitur, ut demonstravit
  28. Fusenius. Sed ex Descensus grarium, tempore Oscillationis unius,
  29. is erit quem luxenius indicarit.
  30. Aptantur autem Propositiones a nobis demonstratae ad veram
  31. constitutionem Terrae, quatenus Rocx cundo in ejus circulis maxi-
  32. mis describunt motu Clarorum, perimetris luis intixorum, Creloi
  33. des extra globum; ex Pendula inferius in Fodinis ec carernis Perrae
  34. suspensa, in Crcloidibus inera slobos Oscillari debent, uc Oscilla-
  35. tiones omnes cradane Tlochronx. Nam Graritas (ut in Libro
  36. tertio docebitur) decrescie in proerestu a superticie Perrx, sur-
  37. Cum quidem in duplicata ratione dictantiarum a centro ejus, de
  38. ortum vero in ralione cimplici.
  39. 1
  40. PROPO.
  41. NIIGIEHIIIRSHIIIMSHNHIBBKS IHIBCHHERSHTMBRSNHTIEMEMEBEMEMIAEEMEMMM
  42. PORPORVH

Cite

[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 142. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1041163592:0176?run=74