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Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo, fol. 18

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: 0.93.

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

The machine reads it as

  1. 18 DF V ERTBVS E F MOTLBVS CORPOKOM. LIB. I.
  2. est, ut factum ex superficie ABC in distanciam F. P centri ejus gra-
  3. ritatis a centro corporis P. Nam numerus punctorum scu solicita-
  4. rionum est ipla superticies ABC, ejusque centrum graritatis est
  5. centrum omnium punctorum, quibus rectae Colicitationum repraelen-
  6. tatrices terminantur.
  7. F18. 10.
  8. CO R O L L A R Y u M TTI.
  9. 5x. Ominimo s idem mobile P, ad Singula CUEVX ABC puncta
  10. urgeatur, sed solicitationibus non ipsis PB dictantiis punctorum a
  11. mobili, sed ipsis LP in Cingulis BF sumtis, e in curra quacunque
  12. DEEIcerminatis, proportionalis. Frit etiam nunc omnium solici-
  13. tationum PI media directio PF recta jungens centra mobilis P et
  14. C18. 12.
  15. CUEVR DLFI, ac Colicicacio ex illis omnibus resultans, Factum ex
  16. SrarItatC CUIErX DLTI in rectam EP; Sed hujuS CUEVX parteS nOn
  17. uniformiter grares intelligendae, rerum difformiter; ita ut ductis
  18. per homologa utriusque curra AB _ DIHI puncta B, L tangenti-
  19. bus BM _E LM in puncto M concurrentibus, graritas puncti B
  20. Curra ABC uniformiter graris, sic ubique ad homologi puncti I.
  21. CUIEVA DLEI, graritatem ut rectangulum MBP ad rectansulum ML P.
  22. PROPOSTTTO VI PROBLEMA.
  23. 53. Invenire mediam directionem solicitationum quarum vis AC, BC,
  24. CC, DO quibus puncta A, B, C, D lineae rectae instexilis AD ur-
  25. sentur.
  26. Ex quolibet extra lineam AD puncto Oagantur per singula li-
  27. neae puncta A, B, C, D in quibus linca juxta directiones AC, BC
  28. ecc. urgetur, rectae indetinitx OAt, OBF, OCF, ODF.
  29. ductisque per linsula puncta e in quibus lineae Colicicationum aut
  30. Potentiarum applicatarum repraelentatrices terminantur rectis inde-
  31. tinitis FC lineae AD parallelis ex lincis OA, OB, OC, OD _C.
  32. quantum opus est productis in punctis I Occurrentibus. Dchinc
  33. singulis AF, BF, CF, DF _c. in luis direetionibus transterantur a
  34. puncto concurtus O, respectire aequales Oa, Ob, Oc, Od ec.
  35. punctorumque a;. b, c, d centrum graritatis e inveniatur atque in
  36. linea OM per hoc centrum e, ex punctum O ducta lineaeque AD
  37. OcCurrente in F, TUMatUE F.MI, quxe Sit ad Oe ut numerus puncto.
  38. rum a, b, c, d ad unitatem; ductaque per punctum MI recta NL
  39. aequidistante ipsi AD, altumatur in ea NL omnibus FC inter AF.
  40. BC

Cite

Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo, fol. 18. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1066518432:0046?run=74