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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 672

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: 0.91.

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

The machine reads it as

  1. PTR A L IS
  2. eROPOSITIO. V
  3. Pappi propos. 19. collectionum Mathem. l. 4. applicatur parabola.
  4. Anc praemiero Archi.
  5. medais, quod primam
  6. Spiralis proprictarem, ex ipla
  7. eius detinicione immediare
  8. prottuencem contincat. Pap.
  9. pisensushic est:
  10. Si ex spira principio A. ad
  11. Peripheriam circuli ducaneur
  12. reCEX AB C spiralem (ecan-
  13. CAS D C ad ATCUM CNID.
  14. VIE parabola ABF, cuius FaNGeNS SIE
  15. a AD, (MbEenCa AF, ex F vero ducta
  16. diamerer E D occurrens tangenti in D.
  17. Ducancur aurem quorcunque rectae ABC
  18. secanres parabolam in B, e diamerrum in
  19. C. Ieaque punctum A, in parabola, prin-
  20. cipium (pirx A, dIAMCTEE VeTO D E Peri
  21. metrum circulirepraesentat.
  22. Dico AB esse ad BC, VEDC ad CF.
  23. Demonstratio.
  24. DEx B ducacur diametex GBF, hoc eAt paral.
  25. leta ad D B. Per 5. Archim. de quadr. parab. ve
  26. OB es ad BF, AIC AF ad F F, hoc cA AB ad
  27. BC: sed ve C B ad BF, siC DC ad CF. ErgO
  28. AB elt ad BC, VE DC ad CF. Conneniune isicur in hac prima proprietace
  29. helix de parabola. Ouod crar demonstrandum.
  30. Fuius propolitionis demonstrario fere in prxecedenti demonstratione involui-
  31. cur. Placuic eamen cam scorlm applicare, quod Pappi (c, de primam spiralispro.
  32. prieratem concincat.
  33. PROPOSTTIO VI.
  34. Archimedis 12. parabola applicatur.
  35. Bhac Archimedem delibare incipio, quod prima lic earum, quibus
  36. lLspiralium propriecares demonstraneur.
  37. Archimedes Sichaber: Si in spiralem una quidem circumnolurione de-
  38. Scriptam à principio spiralis (A) rectae guortibet (AB C) cadanE que X qua-
  39. lesincer se angulos (D AC, C AC, C AC) concincant; se le mutuo x qua,
  40. licer hoc est excestux quali) excedenr.
  41. S in B
  42. AB est ad BC, vra
  43. APPLICATIO P AR ABOL A.
  44. e ttot12t13e 15 16 2710
  45. 111

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 672. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0729?run=74