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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 634

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.

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The machine reads it as

  1. AIZ PER BOL A
  2. quod squis hyperbolas concractas intgis aurdiductas eadem praxi describere desi-
  3. 634
  4. rationem, quam achdetabeoge intencum.
  5. PROFOMITIO CXCTII.
  6. ctaC in C apo L Gae aequidistene cuidam C R hanc
  7. inrer. l. Ll. L. L. media proportionales L. I.
  8. Dico IIC ele ad eandem hyperbolam cuius AC est lacus tranluer.
  9. Tum.
  10. .
  11. Demonstratio.
  12. Tontamenim F L, EquidiltAnE R C. linear
  13. Lac proinde ncerse, cricratio F L FFrectan.
  14. guli, ad rectarigulu FL FT, composica ex ratio.
  15. ne HIL ad HIL, hoc est CI, ad CL, _ ratio
  16. nCFI ad F L, hoc est A L ad A L:igirur rectan-
  17. gulum ALC ad AT C, est ve rectangulum
  18. F F FF ad F L FI. Cum ergo quadrata TL; Xqua-
  19. lia sinc rectarigulis F P. FI, eric quadracum TL ad
  20. TI, quadracum verectagulum AL C ad ALC.
  21. vndepacet CTTeNC ad hyperbolam cuius CB,
  22. CAdiamCTeF, _ AC lacus rrarsnersum. Ouod
  23. demonstrareoporruie.
  24. PROPOSITIOCXCIV.
  25. EcultenElese rurtus AB, CD in C.
  26. occurrat deinde AF rectae DC in
  27. C, lic ve AC hion subrendat angulum
  28. Dico 1IC. ae candem esse hyperbolam
  29. curus etacus transuerlum est.
  30. derre augeas cancummodo lineas ordinacim policas C. FI. vel decurree secundum
  31. i
  32. Peassene seinuicem rectae AL, C C in C: occurrar deinde AF re.
  33. AC D; de Policis LL. quae requidistent
  34. cuidam CH, FanC inCeF FII, FIL. MC
  35. diae proportionales HII.
  36. Demonstratio
  37. eeu plante quaMPacedenti propot.
  38. stione.
  39. Scholion.
  40. qud hi fere suntrres casus, quosticet in prima pare exposut a nt in o
  41. nferre libuit. cum veras hyperbolarum ecmeses ex bibetu.
  42. eotetraar13l1t1310121tes1o303yi32183113e

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 634. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0691?run=74