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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 654

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.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. ATYPER BOL A.
  2. Demonstratio.
  3. Tarios AB aequalis B E, duecaque AP lineas ON secans in punctis L, KanE
  4. quadratis C F aequalia rectanSua G L N, CrunE NNL in a recta lincas igicur
  5. cum rectangula NL C, aequalia nquadraris CF, ad dico quadraco AG, hoc est
  6. GL cocum rectans lum N C L, a quale cric quadracs AC, C F, hoc est quadrato
  7. AH, Hoc est OFI quaatalo. ISiur cum C FF media proporcionalis sic incer N C, _
  8. CL, adb Peroba eu AFlFI. Quod erar demonstrandum.
  9. Corollarium.
  10. Z constructione Facile parec, hyperbolam FTFT ortam ex cranstatione linea.
  11. rum AP. ordinarim polcarum ad axem ellipleos, lacuscransuersum habere aqua-
  12. PROPOSITIO COZZEMI.
  13. IE ellipleos ABC diameter A C non aris
  14. LIncerna exconiugatis aqualibus; sed incra
  15. illas _ axem (ica Gir, ordinarim aure ad illam
  16. Policis BE hanc quadraris rectarum AF, AB
  17. limul lumpeis xqualia quadrara D Fi.i
  18. Dico AFFCorC ad candem tyxerbolam.
  19. Demonstratio.
  20. HE enim quadraTa rectarUM AF, AB simul
  21. cumpea aequalia quadraris AD, BD bis sumpris.
  22. sed AD, DB quadraca, cranstaca in quadraca DF,
  23. Producunc hyperbolam, rei ex praecedenci constaci
  24. igitur A F F ad hyperbolam Cunc. Ouod fuit de.
  25. monstrandum.
  26. Scholion.
  27. DRimo assumpsi in propositione, AC diametrum quae
  28. inter axem maiorem ex diametros conueatas aequa
  29. les sita est: quia tunc quadrata ordinatim positarum. pu-
  30. EXIsO
  31. ellepse
  32. e aX1cllipICoS AB.

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 654. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0711?run=74