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Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo, fol. 267

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: 0.90.

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The machine reads it as

  1. DE VERTDOS ET MIOTTBOS COREOROM. LIB. II. 267
  2. rectam IEC in a, _ OK in puncto h interlecans; junsaturque Ke
  3. e producatur in a, per quod punctum alia de ducta lic priori DC
  4. aequidistans: aGANEUE Pariter dL _ OC, item Cn parallela Od, et
  5. rs parallela OK, hyperbolae ordinata P B continuetur usque in B,
  6. et CD usque in d; quibus factis per quadrantis puncta ScR du-
  7. cta sint tangentes CTe RI, quae aequalescrunt; quibus pexeparatis
  8. I. Liquet Fore aL. Parallelam cansenti los-micae in puncto C,
  9. quandoquidem hujus log. micxe subtangens (secundum hiypothelin)
  10. aequalis est OL; atque adco dd Parallela et sequalis erit particulx
  11. L0g-mica CC, ac etiam cn = Dd.
  12. II. Priangula similia OFB, OAF prXbeNt OR~: FB. =OA:
  13. AF2. Vel, quia in hrperbola quadratum OF. aequatur binis quadra-
  14. eis OA_ FB collectire sumtis, crit etiam OA L E B: EB =OC2:
  15. OTT; e diridendo ON: F B =GTT: OTI vel AF, vel inver-
  16. tendo ac permutando EB: AF2 =OG: OTP. AEqui EB. AF: -
  17. OB: OF: = 2. triang. BOB ad 2. triang. FOf, id cst, ad rec lum FHI.
  18. HIh, ergo 2. triangulum BOB: FHI. IIB = OC.: 6II.
  19. TIT. Trianoula similia Cea ex OIK exhibent 6g: ca = OT: IK,
  20. unde, quia tangentes IK et Cil aequantur, etiam (8 et sa requales
  21. CeUnE.
  22. TV. Propter parallelas Od de B, crit Od: Dd = he vel IIC: a8
  23. vel (nUM. TFT.) C2. X invertendo ac permutando Vd: C =Od:
  24. OHL, at Do: Dd = OL. vel O6: Od, ergO Cx aquo Dd: (18 =O6:
  25. GHL, ex proptextriangula similia OCFL et Ger, Hc 68: r8 vel Ff.-
  26. OO: CFI erso ex xequo ex per rationum compositionem, Dd: lif =
  27. OA. D d: FTI. Ff = OG: GTI (HM. TF.) = 2. triangulum BOB: FFI.
  28. Ffrel FHI. IIB. Adeoque 2. FrianS. AOB =O A. DD (nuM. L.) =OA.
  29. cn. ergo omnia 2. BOB id est duplus scetor BAO = omnibus cn in AO,
  30. id est rec. 10DC in AO. Ouod crat demonstrandum.
  31. Miter.
  32. 464. Per hsperbolae punctum B ducta luetansens B l, ac per pun-
  33. ctum P recta TV parallela OR rectae OB occurrens in puncto V,
  34. ac denique asatur Bd Parallela AD.
  35. I. Ostendam, quod PV producta transibit per punctum C, adeo
  36. ut TO =GTI. Nam in hyperbola lincxe OTI, OA ec OF Tunc in
  37. continua ratione, atqui propter tansentem BT, etiam OI, OA
  38. ec OE sunc in continua ratione, ergo OT =6II.
  39. II. ElC.

Cite

Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo, fol. 267. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1066518432:0295?run=74