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Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo, fol. 309

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: 0.90.

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The machine reads it as

  1. DE VFRTBUS ET MIOTFBUS CORPORUM. LIB. II. 309
  2. ubique FIF. FP = F C. bC. Ad id, ductis CL, LN atque NTO pa-
  3. rallelis rectis MI _E MA respectire, Hat ME = MO, et sic ubique,
  4. dabunturque tot puncta in Curra C2CM, quot libuerit, ex qua dein-
  5. ceps alteram IIM construere non erit difficile. Ducantur cl, In, no
  6. prioribus CL, L.N e NO aequidistantes ex indefinice ricinx, su-
  7. maturque in qualibet ON major OV, quae sic ad homologam ON,
  8. uE haec NO ad MI; quae MI simul etiam log-micxe IN fubtangen-
  9. tem sionificat, e hrac ratione relultabit nora log.mica IV, cujus Tub.
  10. tansens erit semissis IMI Subtangentis log-micx IVV.
  11. Demonstr. I. Ouia rectae FG, LC ∞ LFI (secundum hyPOFhCHIN)
  12. TUINE In CONFINUA FaTIONC, CFIE EO: FHI =PC: FC, rei invertendo
  13. et componendo ITG: FC =TS2: TMI = LSE: INI = NO2: IMI (Vel
  14. ob continue proportionales VO, NO eE IM) =VO: IM vel FG,
  15. ergO HIO =VO; _ quia OMI = FM, ac oM = eM, et proinde
  16. O0 = Ee; erit HIC. G2, Vel HIG. De = VO. O0 (5. 49T. nUm. ZII.) =
  17. NO. Np = LS. Lm (5. 493.) MS. Ss =FC. Cb. Id est momentum ce-
  18. Peritatis decrescentis F. C aequatur momento resistentiae totalis FIG. Jam
  19. ME vel MO est log-us rationis NO ad IM, scu IS ad IMI, id cAt,
  20. l0g. us rationis secancis anguli MIIS, Cujus tangens MIS = FC celeri-
  21. tarem inicialem exponit, ad radium (M vel MA. Quod erat pri
  22. MUM.
  23. II. Ouia VO: IMI =NOE: INT =LSE: INI =MR2: NN (8. 165.)
  24. =Rr: RR, atque adeo, quia Rr = Cb, Crit RK: IMI = Cb: VO = Cb:
  25. HO (5, 132, 485.) = tRC, _ RB: MR vel IM (5. 129.) =angulo
  26. RMe, adeoque FFe=angulo RMK, ac proindetempus totius alcen-
  27. Cus per spatium E.M exponi debet angulo KMI, cujus tangens eAt
  28. IR vel E.C. Quod erat alcerum.
  29. C OK OL L A R Y U M I.
  30. 33. Cune. sete Ccera. Feliltentiarum tocalium. ML e
  31. 10g. mica similis ec aequalis l0g- micx IV. Atque adeo s relictentix
  32. totales lumantur in progressione geometrica descendente, spatia
  33. alcendendo confecta erunt in proorestione arithmetica descendente,
  34. scilicet spatia toto ascentu deseripta. TTorum demonstratio cadem
  35. terme eAt cum ea corolI. II. ProD. PEaced. 8. 527.
  36. 3

Cite

Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo, fol. 309. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1066518432:0337?run=74