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Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo, fol. 98

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. 98 DE VEREBAS EF NIOTTBUS CORPORUM. L. IB. I.
  2. punctorum b, B, A; Syrantium per cfb, ofB, cfA, ac denique (0-
  3. dicitationes centripetas in iisdem punctis per, cpb, cpB, cpA.
  4. Jam L. quia relocitates radiorum Cb, CB lune ut ansuli codem
  5. tempore ab ipss delcripti, erit ub: aB = ang. bCh: ang. BC HI
  6. (5. 288.) =F: 6, ergo (nb) : (uB) = F 2: C. Atqui in circulisx.
  7. qualibus conatus centritusi sunt in duplicata ratione relocitatum,
  8. ergo cfb: cfB = F2: C, et diridendo cfb - cfB: cfB = F - C: 6.
  9. II. Porro cum in orbita quielcenti aequalibus temporibus equa-
  10. les areolae BCD rel BCFI, et ACa describantur, relocitates radio.
  11. rum BC, AC hisce radiis erunt reciproce proportionales, hoc eAt
  12. UB: WA = AC: BC, ec (AB): (nA) = RC: BC2. atqui. (5. 183.
  13. aequ. T.) CA (MB) =BC. cfB, _ (WA) = AC. cfA. ErBOBC. cfB:
  14. AC. cfA = AC: BC, vel etiam ductis in hac ultima analogia an-
  15. recedentibus in AC ex consequentibus in BC, critque AC. BC.
  16. efB: AC. BC. CfA = CfB: CfA = AC: BC, verum (num. Y.) crat
  17. cfb - cfB: cfB = F2- C: C, ergo per rationum compolitionem e
  18. Cx aequo fiet cfb = cfB: cf A = (F: - C). AC: G. BC POrrO quia
  19. (5. 183.) (nA) = AC. ofA, et (5. 254.) (VA) = AO. CpA, exitten
  20. te AO radtio circuli curram ABR in puncto A osculantis, exit AC.
  21. cfA = AO. CpA, atque adco cfA: cp A = AO: AC; ergo denuo ex
  22. aequo cfb = cfB: cpA = (F = 6). AC. AO: G. BC; atqui per
  23. PFOD. PEaC. CA cfb = cfB = cpb = epB, ergo excestus Colicitationis
  24. centripeta in b Colicitationem in B, cA ad Tolicitationem centripe
  25. tam in A, in compolita ratione, ex ratione L- ad 6 e ratio.
  26. ne solidi AC. AO ad solidum BC. Ouod crat demonstrandum.
  27. C O R O L L A R L W M L.
  28. 292. Tac Quolibet puncto b orbitx mobilis abe, solicica-
  29. eio cencralis exit ut cpB, + (F = 6). AC. AO. cp A: C. BC.
  30. CO R OL. L A R 1 u n II.
  31. 293. FIInC SI OrbITa ABF, abe, fuerit eMliptica, ita uE CpB: CpA
  32. =AC: BC, atque adeo epB = AC. ep A: BC, erit cpb = AC.
  33. ep A: BC, + (B, = C2). AC. AO. CpA: O BC3.
  34. S CH O L 1 6 N.
  35. Lequ Larenca sam deneat le Conclla Cmbla O
  36. bit

Cite

Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo, fol. 98. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1066518432:0126?run=74