Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura, fol. 28

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. E
  2. dendo, ubiahenao Muiplicando, dividendo duo hingo
  3. mid a3= a2b, ab 2F b3 ecradices ex vlcimo Facto extrahen.
  4. do, plura Runcnomina in vlcimo producto, quam si codem
  5. modo adderentur, subducerentur multiplicareneur, diuide-
  6. rentur; binomium ba 2F b 2 a ∞ simplex quanticas 2b28
  7. _ caedem quoque radices ex Facto exrraherentur; de ( plu-
  8. xa ncnomina in vno producto quam in altero, impossibile
  9. estveEne indefinire xgualia, quod est proposicum, reliqua
  10. enim expriore demonstrarione haberi polunt.
  11. Blcuru Fortassis ridebitur hoctheorema ob mulcas in-
  12. ulcatas in geomerria voces quashic adhibere opor-
  13. cet, 8 obmulta suppolica lemmata, que demonstrare pise-
  14. bac, quoni 2 cuinis anal Axe vel prima lectione lunc obuia, cx
  15. nacura enim operationu analyricarum omnino dependene.
  16. Locushic requirie re aliquid dica de proporcione inter eri-
  17. AADUIE ABP _ seCtOrEABIC; quod vehat, adierredu est ve-
  18. rissime philosophorum axioma, nempe omnemnostram co-
  19. enicionem a sensu ortum habere: inter proporcionesenim,
  20. Tola commenturabilis sentu acringieur _e pertecte ab hum-
  21. Da mence incelligitur; incommensurabilis enim a machema-
  22. ricis olumodo ad huc coreplatur, ouatenus comensurabilis
  23. cuiusdam racionis est lubduplicara, suberiplicata, ec. vel
  24. extalium additione, (abductione. _c. genita: hoc est, quan
  25. citas quae quancitari propositae ek incommenturabilis Cx eo
  26. Lolummodo ab humana mence contemplatur, quod ex ali-
  27. quocquantitarum cognicarum de proposice quanticati com-
  28. mensurabilium addirione; subductione, mulciplicatione.
  29. diuisione ee radicum excractione, componi possic: at extra-
  30. aenus demonstraris manifestum estlectorem ABIP non
  31. posse componi exaddirione, subductione. mulciplicatione,
  32. diviione, Xcradicum extractione crianguli ABP de eraperii
  33. ABEP: TrIANSUIUM AUTE ABP _C ETAPCZIUM ABEP CuppOni
  34. mes csie quancirares inter se analvricas; e proinde sector A
  35. BIP illis anaiyrics elsenon potest, hoc e ex quancitatur
  36. iD(IS

Cite

[Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura, fol. 28. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/834940469:0036?run=74