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[Astronomiae Physicae & Geometricae Elementa] Astronomiæ Physicæ & Geometricæ Elementa, fol. 438

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.

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The machine reads it as

  1. ASTRONOMLE PAISTCE
  2. 438
  3. AD.
  4. ad quadratum iptius sr Fslk, hoc CA (propter aequales EK CC MV)
  5. ad quactatum iphus sv FsMV, _ SC eAt quamproxime aequalissr:
  6. Duare nora eD ellad priorem eD ue quadratum ab sv’ad quadratum
  7. descriptu ab SL, polita ve criente ipsius mv sire TK, ut in constru
  8. ctione PrOP. XX _XXI. Sed (ex PEOD. XLII. Lib. T.) Sravitas accele.
  9. ratrix versus Solem in loco L. est ad graritatem accoleratricem ver-
  10. sus cundem in locoe (vel V) ut quadratum ab sc (vel 15V) ad qua-
  11. dratum ab ST: Ft ut graritates acceleratrices versus solem in di
  12. Cantiis diversis, ita sunt (manentibus dictis viribus) spatia eodem
  13. quocunque tempore cadendo rersus solem percursa; de isitur nora
  14. Deletd isitur (ad vitandam consusionem) priore eD versuss ductd,
  15. acta ellhora vertus L qua cu au priere ut quadiatum iptius se
  16. eD est ad priorem cD ut spatium cadendo percursum versus Solem,
  17. ursente vi acceleratrice qua in loco L. urset, semisse temporis quo
  18. Cometa deseribit areum inter lonsitudines r a _ r D interceptum, ad
  19. spatium eodem tempore cadendo percursum vertus Solem, urgente
  20. ri acceleratrice qua in loco c urset. Sed hujus analosix conte.
  21. quentes aequantur, aequantur isitur e antecedentes; hoc cA, no-
  22. viter ducta cD aequatur spatio a grave cadente versus Solem per
  23. curso, semisse temporis quo Cometa arcum acD in FCliprica deseri
  24. bit, ursente graritate acceleratrice, qua in distantia sc à Sole obtinet,
  25. unitormiter continuatd. Sed (per PrOp. XXT.) Spatium per quod COr.
  26. pus versus Solem decidit, semisse temporis quo COmeta arcum a VB
  27. deleribit (consideramus enim nunc motum Ciometx tanquam in F.ClI
  28. prica plano factum, loco Frajectoria Cometiea ejus rectisium in
  29. plano Fcliptica intuentes) cum ursetur ab uniformiter continuata
  30. Graritate acceleratrice versus Solem qua in locor obtinet, aquale
  31. elt rx legmento rectae rs inter verricem r de chordam aB inter
  32. cepto; adeoque quamproxime aequale iptius cF segmento cD in
  33. tex punctum e Cipti r proximum) et chordam aB intercepto. Inde
  34. Duncrum

Cite

[Astronomiae Physicae & Geometricae Elementa] Astronomiæ Physicæ & Geometricæ Elementa, fol. 438. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1040780814:0456?run=74