Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo, fol. 70

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. 70 DE VERTBOS ET MIOTEBOS CORPORDM. LIB. L.
  2. erit AB Tolicitatio cansentialis, ejusque momentum (5. F32.) Xequa
  3. tur momento relocitacis in N acquisitae, atque adco NNB. Nm vel
  4. Nn = EF. af; e quia (5. 254.) PF= =nZ. Ba, Het F F. af: F, F2 = NB.
  5. Nm: nE. Ba. Vel substicutis lOCONB, e Ba proportionalibus NgeED9
  6. _ locO Am e mL vel nL proportionalibus gr’et h9 vel Ng, inve-
  7. NICEUT PF. af: FF = N9. gr: Ng. D9. Nam quia L. N e. Ln tan-
  8. sentibus g et ns perpendiculares Cunt, anguli NLn e ehs, quem
  9. tansentes continent, necesario aequales Tunt; aeque adco trian-
  10. sula NZm ec ghr ad NV ec g rectangula similia sunt, ac lateribus
  11. Nm eE LIZ vel nE proxortionalia, latera homologa gr et h9, vel
  12. Ng in triansulo ghr. Verum in postrema analogia deletis PF Cx
  13. primo ec secundo, et Pg ex certio de quarto terminis, sic af: R S
  14. =gr: Dg ec permutando af: gr = F F: Dg, id est incrementum crel-
  15. centis LH. es ad decrementum decrescentis D9, licut ipla crelcens
  16. ad decrelcentem, adeoque erit (5. 153.) crelcens LF, ad Cuam pri-
  17. mam magnitudinem AI, sicut decrescentis Dg prima magnitudo
  18. DK ad decrelcentem, et invertendo, AI celeritas jactus cAt ad RF
  19. celeritatem mobilis in quolibet currae puncto N, uc perpendicu
  20. laris Dg ad DR. Propterea erunt sinsula reecangula LL. D9 aequa-
  21. lia dato AI. DR. Oux erant demonstranda.
  22. C OR OE L A R F U M l.
  23. 156. Ouia EF: AT = DR: D9, ret EF2: AP = DR: D9, d
  24. H F2 = Ba. nL CFIE B~. nV: AI = DR: D92. CCd Ba. nL: Ia. nL = Ba:
  25. Na =Dg: DN vel invertendo, N0. nL: B~. NL =DN: D9: CrSO ex
  26. dequo e per compositionem rationum invenictur NVa. nL: AI= =DR2
  27. DN: D93, atque adco Na = AIE. DR~. DN: nL. D9; ergo solici-
  28. tatio centralis in quolibet currae puncto N eA uE DN: nL. D9.
  29. SF Celeberrimi riri Joh. Bernoulli, Abr. MOrrEXUS, e Cuido
  30. Grandus inrenerunt, insistentes omnes principio ilti, quod tempora
  31. lacionum in curris sunt areis proportionalia, quod nosnondum Cup.
  32. potuimus; sed in sequenti Corollario ex poliris fundamentis noctris
  33. deducemus.
  34. CO R O L. L_LLaM 11
  35. id eAt FAN = arCA ADN: : AI. DR. Nam (5. T28.) eA EH. ENn =
  36. In; ec Dg. EF. FAIn = Dg. DIn = 2. Trianguli NDn, atqui (5. 155.)

Cite

Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo, fol. 70. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1066518432:0098?run=74