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Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo, fol. 211

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: 0.84.

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

The machine reads it as

  1. c
  2. e
  3. Ue
  4. e
  5. at.
  6. 3
  7. rd
  8. M.
  9. 3
  10. DE VFRTBUS E Y MIOTTBUS CORPORUM. L IB. II. 2FF
  11. mentis Academix Florentinxe Det Cimento, Roberti Boylii, aliorum-
  12. que constat, aërem ri claterii 60e0, 152e imo e millies rariorem
  13. tieri posse, quam in statu naturali, qui Ac, ut in suppolitionibus
  14. Maraldi non septies, in Mariocci rero non quidem quater rarior
  15. in summitate atmosphaerae quam in stacu naturali, omni ri clastica
  16. destituatur. Verum quidem est, Claris. Macaldum non ultra CX-
  17. tentionem Cemissis Milliaris Fallici proorestionis sux periculum Fe-
  18. cisse, nec adco ulterius eam extendi debere, expresse monuisse.
  19. PROPOSTTIOZRTM. PROBLEMA.
  20. 38T. Si scala elasticitatis aeris AFDD fuerit hyperbola communis in Fi8. 9Y.
  21. ter asimptotas FPO anculum rectum continentes, atque sneula rectan-
  22. cula LOD, TELOFD dato rectanculo PFR aequalia fuerint, quaeri-
  23. tur reciproca linea PFF. scalae elasticitatum, es scala densitatum at-
  24. mosphaerae BFB in suppositione cravitatis uniformis seu constantis, cujus
  25. scala sit CTC axi AFR par allela.
  26. In recta indefnita AM SumatuE AT aequalis datxe AF, ductaque
  27. per punctum L recta IT parallela AO, intra lincas MIe IT tanquam
  28. asympeotas descripea intelligatur hyperbola PrB, ita ut quodlibet
  29. in ea rec- lum TIF aequetur quadrato datae AI; critque haeC AYPCr-
  30. bola ETF reciproca scalae clasicitatis AFDD; adeo ut FaCtO rec. 10
  31. ACFC aequali quadrilineo OF FFFO, densicas aeris in loco +A Fu-
  32. cura sIc per 5. 359, +OFD vel TAFB.
  33. Demonstr. Ouia (secundum hypothesin) EO. OD = FP. F A, erit
  34. FO: FA PCU LO =FP: OD PCU FGY, CTGO CONVeRTendO KO: F L
  35. FP: OP (id est propter hyperbolam AFDD) =OD sCU FO: PA,
  36. ac diridendo LO: F. L = AO vel IIL: AF PCu AIrel LO: creorec. la
  37. extremorum ex mediorum aequabuntur, id est LO = AT = IL. LP,
  38. atque adeo punctum E. est in hyperbola P FF inter a (YMPEOFAS MIL
  39. et lI; ac propterea reciproca lcalae clasticitatis in praesenti lirpo-
  40. thesi eA trperbola communis. Flinc, Si rectanculum quoddam ALC
  41. cuilibet in hac hyperbola quadrilinco OTOFFF aequale factum, at-
  42. que linea IC+A protensa ad alteram axis partem +AFB aequalis
  43. Facta Fuerie ordinatae rOFD, punctum ZB (5. 359.) crit in Ccala
  44. densitatis acmosphaera BLB. Oux erant demonstranda.
  45. SCTO.

Cite

Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo, fol. 211. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1066518432:0239?run=74