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Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo, fol. 400

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. 400
  2. A
  3. P
  4. P F N D I X.
  5. RV; et bB. Np (Vel BB) =RV: RB =GR. RV: GR. RB. ErgO
  6. Cx aquO pn: Ap = R2S. RB: CRL. RB = RS: (TR, vel (quia PAO an-
  7. sulo GSI aequalis Factus cA) = AP: PG, eAt vero ctiam pn: NP =
  8. Dg: Ng, erSO AP: PO =Dg: NVg. hinc, quia AO (Constr.) =DN,
  9. erit AP vel MO =D9, _ Aa = IR = Dd. Onde, cum (5. 155.) D9
  10. sIt ad Dd, ut relocitas in A repraesentata per AI ad relocitatem in
  11. NV, et in hyverbola RM ordinata MO lIE ad RI uE AI ad AO.
  12. haec AO ommino exponit celeritatem in N, ex cum OF vel AF
  13. ConAr.) aequet differentiam ordinatarum AMI, RB, id cst, ordina-
  14. Carum AD, ND, in utraque Agura crunt aequales ip(x AF, acque
  15. adco curra TTIF erit scala celeritatum mobilis in curra AN delcen-
  16. dentis vel alcendentis, adeoque ducta ejus normali RY eXPOnCE
  17. lubnormalis F.Y (5. 134.) Colicitationem graritatis secundum ND
  18. in CUIEVX AH puncto N. Duod crat demonstrandum.
  19. Coroll. Si D Fucrit origo abscissarum DR, atque hae abscissae di-
  20. Cantur A, Ordinatxe respectira RB, 2, radius AC, r, distantia
  21. originis abscictarum currae sB a centro circuli AFL, Scu DC, e;
  22. exIE CR = e + A, Si punctum D cadic inter C ex R, uc in Aisura, vet
  23. e =A, Si inter A et R, ac denique A - e, s punctum D cadit Cx-
  24. tra radtium AC; BONamUS erSO CR = e L A, CxITquC GR =
  25. (55 + 2eA A) ubi ss=rr - ee, dicatur pariter elementum abscis
  26. DR (eu Rr = B, a2Z, CTIEque RV = BZ, _ RS = = BZ, SubsIt-
  27. tisque omnibus hisce Crmbolis in praecedenti constructione, repe-
  28. XICEUT AO2 =FF 2 = L, (ss F2CA = A.). nn
  29. 62
  30. B.24 _ ex hac elicietur ipsII-
  31. Sima Formula circa finem 5. 169. Patet erso hanc posteriorem cum
  32. priori cgregie consentire.
  33. Elinc, si puncta D, C coincidune, curraque HB eAt hyperbola in-
  34. ter alimptotas orthosonales in C conrenientes, quarum AC una,
  35. CrIE In CUrrX AN puncto N graritas, secundum ND, ut = e ip(a
  36. curra AN erit ea, cujus Netonus ec Joh. Bernoullius constructio-
  37. nes dirertas in speciem, re rera tamen conspirantes, exhibuerunt, hic
  38. in ACt. L ipL. 1713, Pa5, F29. ille vero PrODOL. XLIV. Lib. I. PrinC.
  39. Pnil. Nat., ut supra pa5. 80. indicarimus. HIxc curra AN duas
  40. asimptotas habet a centro ririum D aequaliter distantes; et quidem
  41. distantia quaelibet esse debet; radii AC in A8. 159, e 160. vel = DP

Cite

Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo, fol. 400. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1066518432:0428?run=74