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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 1002

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: 0.89.

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The machine reads it as

  1. 1002
  2. YN. CV L A CYLINDRICA.
  3. 11
  4. Demonstratio.
  5. lanEpLanA KGD, X HTO diuidenciare
  6. ctas BC, AB bitariam, ec exhibencia
  7. lineas CD, ITO in superticie cxlindrica,
  8. rectas vero SO, RM in planis, CBF F
  9. ABF. Deinde ex _M, linea duean-
  10. CUT O P, MN, qua aequidistent rectisR
  11. KFI _e secundum lincam NNI, planum po.
  12. naTUEBaSi A C F. vngulari aequidistans ex-
  13. hibens in superticie cylindrica arcu T N V.
  14. Denique ponatur in planu AB F. per pun-
  15. ctum M recta VM T parallela A B, & haC
  16. sectio per V Y, _ BAIEOS CCHEEUML H pEO-
  17. ducens rngulam, ex qua ablcindetur plane
  18. AB TNV Cesmencu vngulArC AVOTB:
  19. quia R C CA ad RS, VE R FI adRR, XVE
  20. KC ad KS, ita C D est 2d S O, viG; R FI
  21. est ad RR, sCFTO est ad R NI, erit quoque
  22. ve EDad S O, hoc estOF, sIcFIO ad R MI
  23. hoc est FTN. Sed guia arcus AB, BC Cqua-
  24. lessuE; Ve CP ad FIN, ica est superticies cy.
  25. lindrica BP. P F C ad superticie AVNTB,
  26. 155. _ ve CD ad FTO, ica elt superficies vnsu-
  27. laris BF D F C ad ongularE, AVO FB.
  28. Tgicur re superticies BL. P FC ad BEDFC.
  29. ita superticies AVN TB ad sIperKCIem AVO TB, de consequenter ve est lu-
  30. perficies BP PF C ad residuam P PFD F, ita superticies A V N FB ad residuam
  31. VNTOV; es aurem cora luperticies AV OTB aequalis superticici AO V B,
  32. _ superticies AVNY aequalis superticiei ANR B. IGICUEVE BF. P F C ad residuam
  33. F PF D F, ica superticies AN B B ad residuam ANEO A. Quod Fuic demonstran-
  34. dum.
  35. PROPOSITIO LXII.
  36. Aca SILVnguta P. F K a cylindro recro decusara alcicudinem AF X-
  37. qualem habens diamerro balis IEF., circumdenc aurem vngulam
  38. plana cangencia F. D I, IDCHI, QC. cerminaca in plano eltipeico F IF K
  39. Producto, erunc plana illa omnia quadritacera, pexrer duo plana contin-
  40. sencia cerminos diameeri F. de KE, qua lunccriangula.
  41. Dico corpus includens ongulam concentum planis ambiencibus, et
  42. polysonis duobus, lemicirculo P. AH de Semiellip(I F. I F K conleripris,
  43. muletarum duabus prramidibus, quarum bales lunc criangula laceralia,
  44. alticudo semidiameter L. K, xe quale esseprramidi que balim habee qua-
  45. drarum diamerri K F, ee alcirudinem L. H semidiamerrum.
  46. 25 4. bibios.
  47. Demon-

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 1002. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:1059?run=74