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[Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura, fol. 31

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.

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The machine reads it as

  1. PROP. XIV. THEOREMA.
  2. Inc duo polysona coin plicats A, B.
  3. eDnempe A incra circuli rel ellipleos
  4. dectorem se Bexeras continuecur series
  5. conversenshorum polreoriorucom-
  6. plicatorum secunduin nostram metho-
  7. dum lubduplam delcripeorum, ita vrpolysona intra circulie
  8. SInEA. C, E; deC; ec exrra circutum B. D, F, aC; dico A F
  9. minorem esse quam 2C: ex prae dictisinanifeltae lune leque-
  10. ces analosixe s prima: quoniam
  11. A;C, B; LUNE COnFINAC PFOPOr C = A: B - C:: A: C
  12. tionales; ee secunda quoniam. B - C: D - C:: A C: A
  13. C, D, B. Cuncharmonice peo-
  14. portionaless _ Droinde exce(sus C supra A; hoc eA C A,
  15. est ad excessum D supra C Peu D C inratione copolica CX
  16. proportione A ad C X exproportione A. C ad A, hoC est
  17. inrarione A F C ad C; dF R C estmaior quam C, e ideo
  18. excessis C lupra A est maior quim excelsiS I supea C, est
  19. aurem Dinaior quam E, e pioinde excessus C supra A muI
  20. comaior es quain excelsus F Cupea C; CsigItUE A ifft F MI-
  21. nor quam 2C; quod demonstrare opOrtuIto.
  22. PROP XV. THIEOREMA.
  23. IIdem posiis: dico excessum C supra A minorem eNse qua-
  24. diuplo excessus E lupra C. Cx praedictis maniFest e (uMB
  25. lequencestres analogix, prima quoniam A, C, B, lUNE CO-
  26. tinue proportionales; secunda; quoniam C. D, B. Tunc Mar-
  27. monice proportionales; scerria, quoniam C, E, D, TUINECO-
  28. tinue proportionalesi e idco
  29. exce(SuS C Faipea A(HBC est). C - A: B C: R: C
  30. C A CAad exceHTUM. F (1 - B C: D C:: A C: A
  31. PraC (euF: = C, ve AC HFC. D C: F C:: F C: C
  32. A AE A CC ad C VinCB Ma
  33. LL.

Cite

[Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura, fol. 31. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/834940469:0039?run=74