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[Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura, fol. 33

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. e R OD. ZVII. YHT E OR F M A.
  2. TIdem posiriss dicoexcessum A supra C maiorem ette
  3. Aquadr uplo exCeNUSC SUPra F. ex praedictismanifeste
  4. Tune sequencestres analogixe; prima, quoniam A, C, B, sUNE
  5. continue proporrionalesi lecunda, quoniam C, D, B, CuncMar-
  6. monice proportionales; _ terria, quoniam C, F, D, lunECO-
  7. rinue proportionales; _ ideo excesus A supra C, hoc est,
  8. Aun C, eltad excessum C lupra F hoc est C= Linratione ca-
  9. Polita ex proportionibus A
  10. ac C, A C a d A _ P C A - C: C no B:: A: C
  11. ad C; _ ideo A- C cA ad C = B: C- D:: A si C: A
  12. C F, VE ACHF. C AFF C D: C. F:: E C: C
  13. C. C aa C C; dc BminOFCA qua
  14. F, X idco AB, CCu CE minor es qua AF; _E IBITUr AF CC
  15. maior eA quam 2CC. aEque ACHFFC eAt ad 2 CC VEA
  16. F ad 2C; sed A F maior est quam duo C, a ideo ACi
  17. F.C maior elE qua 2CC; de proinde AC HL F. C iH RF.
  18. . CC maior est quam 4 CC; de igirur A- C. IB 3IOI Clt
  19. quadruplo ipsus C = F, quod demonstrare opOrruit.
  20. PROP. ZVIIT. THEOREMA.
  21. InE due quaneicates inaequaless A
  22. + D minor, Bmaior, C mediageome
  23. erica, D media axichmerica. dico D
  24. maiorem esse quam C. quonia B, C,
  25. R. Tune continue prexorcionalesi erie
  26. dividendo, permmutando. d componendo; veexcessus B su-
  27. ora Aad excelsum C luprA A, ica A HF C ad A, aEquC ANC. C
  28. MMaior est duplo ipsus A; ex proinde excelus B luvra A Mi-
  29. or est duolo excelsus C lupra A; Led excessus B supra A du-
  30. Dlus estexcenus D supra A, X _ ideo excessus D Iupra A
  31. maior est excelsu C supra Riestisitur D maior qua C, quod
  32. demonstare ODOrEUIE.
  33. eROF

Cite

[Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura, fol. 33. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/834940469:0041?run=74