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[Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura, fol. 102

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. eg
  2. 1O2
  3. CX, = FY2 xHO; de proinde POLiCA E Y prima C Y seCUn.
  4. dos erie NOquorca continue proporcionaliums ec id eo Agu
  5. ra BOT cA ad rectangulum DV, re conois parabolica (cuius
  6. basis est circulus BCOG) ad cylindricum parabolicum ilti
  7. conoidi circumscriprum, cumque deneur proporcio conoi
  8. dis parabolicae ad cxlindricum sibi circum scriptum et re
  9. ctangulum D V, dabitur quoque Agura DOT, et ideo pun-
  10. ctum quoque Z; d ideo datur in lemicplindribase eius cen-
  11. erum aequilibrii; ee proinde lemicylindri cenerum grauitaris
  12. eric in data perpendiculari ad balem c cenero aequilibrii ex-
  13. cicaca, deque idem gravieacis cenerum est in rect a Ca ducta
  14. inter punctu O_ amediuns punctum rectae A B ex puncto B
  15. huius, basi BC 2perpendicularis, suppolica nempe crlindrum esse
  16. sectum a plaro baleos planum in recta PAlecance; Acisitur
  17. VERC ad CL. ita Qa ad ad, cric dlemicylindri centrum sraui.
  18. edtis, quod inveniendum erat.
  19. In huius62 docebimus aliam mechodum inveniendi prod
  20. POTTIONEM INEEF DV EDOT.
  21. P ROP. 54. ZFZ EORF M A.
  22. le paralelogrammum ABIR, Sicque curra ACItalis n2-
  23. curae, ve (ducta recta quacunque DE parallela e aequale
  24. rectae AB curram sCCANEC in C) raTIO AB adFC SE mulciplio
  25. Cdca raciONIS A IE ad A L inracione P ad . dico paralleton
  26. BTAMUM ABIK esC aa AGuram AC. ILE VE P ik G2d G. produ
  27. EAEUF ReCta IB in Co _E IVIHOACUF CUrUA AHI C calis naEurAe, VE
  28. (ductarceta CFFanSenLC CurvaM AC I in quolibet puncto
  29. C_ ductis parallelis FC, FHI) recta C HIlIC aequolis e Pa
  30. rallela rectae FF: manitellum cA exhuius 7 rectam AF. ad F F. 3
  31. TeuLC adHC eHse reP ad O cumque hoc semperhae, cuin
  32. dens est scuram AC IB esse ad fguram A C LO FTVE P 2d
  33. deque ex huius Fr figura ACIOHI eAt ae qualis Apora AC IK,
  34. e ideo sigura AC IB est ad figura AC LK vE P adt C, de COm
  35. PO.

Cite

[Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura, fol. 102. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/834940469:0186?run=74