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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 542

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. Peres
  2. ma
  3. 67. huin
  4. AZPERBOL A.
  5. Demonstratio.
  6. DRoducta GC in R, VECR, SC aequalis C C, BOnanEUE AL, BN aequidistan:
  7. ces C:L: cum AB, DF aequidistene, e AB in C diuisa sic bitariam, CFIE _E D F
  8. in I bitariam dinila; quare DI quadeaca, aequalia lune quadraris P Iuna cumare.
  9. Ctangulis DL F. sed ec D I quadrata, aequancur eriam F I quadratis, una cum re-
  10. etangulis DF P; aequalia igitur lunc quadeaca P I, una cum rectangulis D L. F, qua-
  11. dracis FI, una cum rectangulis DF L: Cunc aurem perhypochesim quadrara L. Iid
  12. est AC, rectangulis D F F aequalia, reliqua igitur D L. F ae qualia sune quadraris
  13. FT. quia vero AL ipsi C G _ DI. ipS AC aequidistac, ve DL ad L A, AC AC
  14. est ad GC, _ ve DI ad AC, id est LI, AC AL hoc eA GT, 2d C C: ergo
  15. etiam ve DL ad L NI, SIC AL sivc TO, ad GR; _ tE DL ad L F, SCIC ad TR:
  16. rectangula isitur D L E proporcionalia sunc rect angulis GTR: TUNC auceM D L P
  17. rectangula ostensa aequalia quadraris PI, isitur C IK rectangula proporcionalia
  18. sune quadearis E P: quare C F F ad b eandem sunc hyperbolam simili modo R qua-
  19. draco E B aequalia hane rectangula DNT F, ostendentur puncta MMTC esse ad
  20. hyperbolam: _ quia quadrara A C, G B, adeoque ec rectangula DF F, DMF ∞.
  21. qualia UnE, FCAX FD, M F. aequales quoque Cunc: un de x residUX F. M in I, bil.
  22. secta sune, de FCM ad candem hyperbolam.
  23. eROPOSITIO XV.
  24. IIdem policis:
  25. Dico AC, C B eAsC alymPEOTOS.
  26. Demon.
  27. ee e e s u t te e t a te e t s e es t ut e es t st e i a t e i t qe te et t et e e e e t te t

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 542. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0599?run=74