Search the Nachlass

Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo, fol. 261

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: 0.86.

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

The machine reads it as

  1. DE VFRTDUS ET MOTTBUS CORPORUM. L, 1B. II. 265
  2. fogarithmicam, cujus subtangens est unitas. Et denique omnia dy:
  3. aa +YY aequantur arcui circulari a applicato ad aa quadratum radii,
  4. cujus arcus tangens sIcy; nam ejusmodi arcus elementum seu do=
  5. aadr: a = YY. PEOPEEFCA IRVeNICEUF AECA ADL K (2 A2d2L, 2K) = er;
  6. + 2be2: A; + effo: aa; ad coque addendo ADLR + 2 A2d2L, 2H; = 2C);
  7. +2effa: aa (vel loco ff resticuendo cuum ralorem bb - aa) = 2ey;
  8. +2bbe0: ac; - 2e0 = 208; + 2bbeo: aa; polita ad abbreriandum e = y - .
  9. Arearum ACTHI (242~2I2II) elementum est = edae; + 2b eydo: aa +
  10. gy; effdX: aa + y7 = e)dy: a; + 2b eY dy: a + ayy; + effrdy: a + ayy; quia
  11. ydy =adX. AEqui rydy: aa + yy = dy, - aady: aa + γ7) = dy - du, ec ut
  12. aAFCa, 1d): aa + y) = aZ: a, aC DFOPTCECa,
  13. ACTEI (2A202(2FI) = epr: 24; + (2b0y - 2be0): a; + effz: aa; 2dc0-
  14. que AaTFL - 2A242I2FI = (4bey = 4bew): a = 4bes: a, Polita Scilicet
  15. y - 0 = 8.
  16. Ducantur per Arectae AT parallela BB, ec AS aequidictans Co, erit. FIB. LLg2
  17. que AWV: WVS = CE: E6 = AdLR F 2A282L. 2K: A∞TTT = 2A202T2TI
  18. =(205; + 2bbev: a4): (Abes: a) = aaB + bbv: 2abe; _ IW: AW = a:
  19. b = 2ab8: 2bb5; erso ex aequo Aet TW: WS = aaS + bb0: 2665.
  20. Dicantur inluper IW, D _ SW, 1; radiusque AW, r; critque
  21. 0: T = aaC + bb0: 2bb8, ec quia r: D = b: a, substitutis locob et a pFo-
  22. Portionalibusr et D, proveniet D: t = 1b8 + rrO: 2YrS; ex qua eli-
  23. CICtur 10 = 27d= rro; adeoque ip(x aequationis radices crunt
  24. 124
  25. + l
  26. rro
  27. . Jam quia lingulae r, 53 a e t datae sune, etiam
  28. D data erit, quae et tangens anguli TAW, quem directio figura
  29. BA2B in Auido incedentis cum aZC AFI Continet, cum Agura ici-
  30. nerepermanente Fertur absque convertionibus circa sciplam; qui an-
  31. sulus TAW angulus acclinationis figurx audit, ejusque tangens,
  32. IW declinatio ipla; linea vero oC est directio, juxta quam figura
  33. in Duido ideo impelli debet, ut in directione ipsis BB, AT, _C.
  34. Parallela itinere leu ria manenti ca in Auidoferri queat; qua omnia
  35. luo loco uberius explicabuntur.
  36. Exterum exempla eorum casuum, in gnibus currae, Faperior
  37. AB e inferior 2A2B, Cunt Similes e aequales, adeo. UIE BX CUr-
  38. vae Auidi imprestionibus expositae communem abscisam AFI, ordi-
  39. natasque aequales BFT et 2B2TI habeant. Scd ca, ratione calculi,
  40. intricatiora eradtune, si CUrVR AB X A2B, ut A9. TT5. inxquales
  41. tamen similes. (Cu LOtX ACE, A2BP. aequales lunt, tunc enim
  42. CK 3
  43. BUIM=

Cite

Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo, fol. 261. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1066518432:0289?run=74