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Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo, fol. 330

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.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. Z3ODE VTRIDUS ET MOTTBOS CORPORDM. L ID. II.
  2. actu mobili ascendendo percursa eriinE A =X, et tempora, quo hxc
  3. spatia absolvuntur T = 1, Polita T PrO tempore, quo maxima alcitu-
  4. do A conticitur. Oux crant exhibenda.
  5. E X E M P L U M.
  6. 57T. Sit r = (abW L CUW) A: aa, eritque _ =saandu: aaG F abua
  7. cunA, e + = saadu: aae = abua Z Cuna. StuE lx Formulae particula-
  8. res lint, infinitos tamen calus particulares complectuntur, tam pro
  9. descentu quam pro alcensu grarium; scilicet pro rarietate densita-
  10. tum a. Nos primum simplicistimum calum considerabimus, supDO.
  11. nentes A = F, e Formula nostrae redisentur ad calus, quos in capiti
  12. bus proxime ancecedentibus jam exCUSIMUS.
  13. 572. Propterea Substituatur cantum lOCO A, E, ex retinendo siona
  14. Cuperiora pro descensu grarium, ex habebimus x = saaudu: aae
  15. abu-cuu, alteram que =t =s (aadu: aaq = abu = CuW). VFhX aequa-
  16. tiones construi queant, ponantur aag = chh -= eff, item ab = 20f, ac
  17. denique y = f+ u; ubi a, b, c, f, 8, et h sunt quantitates constan.
  18. tes, ac x, Y, u, t, rariabiles. F’actis hisce substitutionibus repe-
  19. FICtUE aandu: aaS - abu - cuu = aandu: ChB - eff - 2CfW = CuW =
  20. als
  21. udu: Bh = (f. + 21) . = ( ydy - 2
  22. omnia =e ydy: Bh - gy = 108. Y (Bh =ff: Bh - y7) in logarichmica, cu-
  23. jus subtansens est aa. Nam ydy est dimidium elementi denomina-
  24. toris hh -yy, Sed sub signo contrario, ex Bh-ff est maxima magni-
  25. tudo omnium BB -7y, quia festminima omnium y = f. + W, quae ha-
  26. betur ubi u cranuit.
  27. POETO S
  28. vel potius, quia cranescente u ipsum etiam integrale cranelcere de-
  29. bec, et existente u =0, scu y =f, inventum incegrale abic in
  30. 108. V (B + f: B - f), quae quantitas detrahenda eM a priore, ee ha-
  31. 173. Eadem Facilitate relolvetur altera a quario parasraphi 572,
  32. Ecu

Cite

Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo, fol. 330. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1066518432:0358?run=74