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Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo, fol. 202

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. 202 DE VLRIBUS FF MOTIBUS CORPORUM. L1B. II.
  2. C OR OL L A R X U M IV.
  3. 363. SinUNCn SIE F, adeoque Curra C FC2C hyperbola conica cen.
  4. erum habens in O, quadrilinea aequalia ALC, IAZC, Sc. habebunE
  5. abscisaS OA, OTA, OZA, ec. Continue proportionales, et vice
  6. verla, si hae abscissae fuerint in progressione geometrica, quadrili-
  7. nea praedicta erunt aequalia, ac consequenter densitates AB, TALB,
  8. 2A2B, ec. erunt continue proportionales, plane ut habet PrOp. 21.
  9. Lib. II. Princ. PB. Nat. Math. Cel. Nertoni, quam Peortim démon.
  10. Aravit.
  11. C OR OLL A R L U M V.
  12. 364. Si n IE 2, atque adeo curra C C 2C hyperbola quadrati
  13. ca; id est, si graritates corporum sint in reciproca duplicata ratio.
  14. ne distantiarum a CentrO, _ OA ==, OTA = =, O2A = , _EC. in prO.
  15. crellione arithmetica, atque adeo Ccrici hujus reciproca OA, OTA,
  16. O2A, in progressione harmonica, (5. 361. 362.) ordinatae AB, TAIB,
  17. 2A2B, eC. erunt in progrestione Geometrica. Hloc iplum demon.
  18. Atratum dedic alia ratione C el. Newtonus Prop. 22. L ib. II.
  19. COR OL L A R Y U M VI.
  20. 365. Si n = - 2, hoc cA, si graritas est ut distantia corporis à
  21. CCNErO O, curra C +C2C mutabitur in lineam rectam transcuntem
  22. Per centrum O, Ceriesque, quae juxta 5. 362. debet esse in arittime
  23. cica progressione OA1 =n, OLAI =n, O2AI =n, eC. nunc AC OA,
  24. OTAE, O2A2, ec. adeoque, si quadrata distantiarum OA, OTA,
  25. O2A, exc. Fuerint in progrestione arithmetica, trapezia rectilinca,
  26. ATC, EA2C, _C. erunt aequalia, atque adeo (5. 36r.) Ordinatae
  27. scalae densitatum AB, TAFB, 2A2B, CrunE ContinuE PrOPOrtIONA
  28. les. Ur alseruit, sed absque ulla demonstratione, laudatissimus
  29. Nertonus in Scholio Post ProP. XXII. Lib. II. Princ. Phil. Nat.
  30. Math.
  31. C O R OL L A R Y u M VII.
  32. 366. Oin Vecon iueeo la cu, l slanitas Coperum nnos
  33. Ceu constans fuerir, qualis communiter considerari Colet, tunc scala
  34. SIa

Cite

Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo, fol. 202. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1066518432:0230?run=74