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Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo, fol. 95

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: 0.87.

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

The machine reads it as

  1. DE VTRIBOS ET NIOTIBOS CORPORDM. LIB. I. 95
  2. P = AO: AF, hinC AFE: AO = PE: P2 =2AC. P + AC, e diri-
  3. dendo FO: AO = 2AC. P - AC: P - 2AC. P + AC, _ FC;
  4. AO =Y (2AC. P = AC): P = AC = Fb: BP: adeoque, Si diCaNtUE
  5. AC, a; CD, _; DB, Y; Fb, dy, exit p = V ay, ec 2pdp = ady
  6. e FC: AC =Y (2AC. P = AC,): P- AC, het in his Cymbolis dy:
  7. dx = Y (2ap = 44): P - a, er8O pdy - ady = dur (2ap - a4), vel apdy-
  8. rady = 2pPdp 2ap dp = ad Y (2ap - a4), acque adco dx = (2ppdp -
  9. 2ap dp: aV (2ap = a4)) quae utatur in dx = (9dg -= a d9): 2a, cu-
  10. jus incegralis eAt 10a2X = g -5a9 + qu E Ccilicet politum FuerIE
  11. g = Y (2ap = aa) atque retrogradiendo invenietur q = Y (2 aV ay = aa)
  12. atque adeo aquatiO CUEVX QUX(IEX (a4, + (γ = A - V ay) in Y (2aY ay,
  13. =aa) = : ax. Ouod crat demonstrandum.
  14. ol1e
  15. COR OE L A R Y U M.
  16. 286. Ouoniam inrenimus BZ: DB = 2AF: MIF _ P: CA = AF:
  17. ME, vel 2P: CA = QAF: MIE; erit pariteE 2P: CA = BZ: DB X
  18. invertendo CA: P = DB: BZ, atque adco radius crolutae in quo-
  19. libet currae puncto ope hujus analogix innotescit, qux analogia
  20. consentit cum ea, quam TII. Marchio HIospitalius tradidie in Actis
  21. ACad. RCg. ScienE. ParIL. 1700. ab initio.
  22. CAPV F TV
  23. De Solicitationibus centralibus quibus corpora in orbibus
  24. mobilibus detinentur, e de motu Apsidum.
  25. DEF INF YYO.
  26. 187. LIL LDE QuNDet orbis immobilis, cui fgura abe similis & FiB. 45.
  27. aequalis dicatur orbis mobilis, quia circa punctum C ad
  28. quod solicitationes centrales diriguntur, reapse moreri intellisen-
  29. dus est, ea tamen ratione ut angulus ACa, quem axis ejus ae aliquo
  30. tempore deseripsit, sit ad ansulum aCb, quem arcus currxe mobilis
  31. ab a mobili in curra incedente eodem hoc tempore delcriptus sub-
  32. rendit, in racione data. Axis ae mocus, dicitur motus ApGidum.
  33. O.

Cite

Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo, fol. 95. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1066518432:0123?run=74