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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 1011

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.

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

The machine reads it as

  1. Y N GVLA CYLINDRTCA
  2. TO1L
  3. exPCIIEur ab vrsia, aaaSula PaFalClA QUX PEMIALIS SUnEBaCES, FCFerunE duOS
  4. Parallelos circulos, qui bales lunc cxlindri. planum vero L. Cet allastrla.
  5. sulares prilmacis bases medium, repraseneac curuam. exlindri superticiem mediam
  6. incer duascrlindri balescirculares. Quemadmodum enim ex demonstracis ab HI-
  7. chimede deduermus duas cxtindri sphaeram ambientis bases esse dimidias superticiei
  8. spherica, ica e nos octendimus duo criangula prismaris nempe nsutam concineneis
  9. Bales, dimidias esse superhcicirngularis: _ sicur ex eodem habemus Archimca
  10. superticiem curuam cxlindri aqualem esse luperticiei sphaere, ita plane ostensum à
  11. nobis est planum F P. HG supertcici rusulari eAle xquale.
  12. e R OP OSI TIO L X XIV.
  13. ala sic cflindri recti rngula E.DC, cuius alcicudo BD pax (IE cir-
  14. cumterencix circuli EBC.
  15. Dico supetficiem ongula quadruplam esse circuli F. B C.
  16. Demonstratio.
  17. X cenEro A ducacur AD: Rectangulum
  18. sub diameteo basis F C, de alercudine vn-
  19. sulae BD aquarur a superticici ongulari cy-
  20. lindricx. Sed rectangulum F. C BD, duplum
  21. est rectanguli AB, B D, ac proinde quadruplum
  22. crianguli ADB. ergo luperticies ongularis
  23. E. D C quadrupla cstrrianguli AD B. sed erian-
  24. sulum ADB equacur b circulo R B C, quod
  25. eius balis lic radius AB, alcicudo aurem BB
  26. par circumterentix. Ergo superticies rnoularis
  27. EDC quadcupla eA circuli F. B C. Quod erac
  28. demonstrandum.
  29. Analoeia cum Sphaera.
  30. DVis rurtum hic non agnolcar sphaeram in
  31. Longulas Eiuldem enim circuli EBC, e
  32. Superticies rngularis F DC, e Cuperficies (phx-
  33. rx crius diumerer P. C, qua druplX lunF.
  34. PROPOSITIO LXXV.
  35. TNgula EDC cuius alticudo BD
  36. quaecunque, (in spice houram pro-
  37. policionis7 4.) secerur perrectas AB, NI M ad diamerrum normales pla-
  38. nIS AB D, NNO, qua axi cylindrico equidistene.
  39. Dico luperticies vngulares FDB, BDOM, MOC: candem d MetLC
  40. _ adcoram insula Cuperticiem habere rarionem, quam parres diamerri,
  41. velincer se relad cocam diametrumi.
  42. demonstratio.
  43. VperhcieS E DB Cxquatur reCtangulo E ABD: X SUPEThCIESB D OM, rECtAn- C C roll. 55.
  44. sulo ANBD; SuperhciCS VeTO MO C rectangulo NIC B D aqualis cst. TuPCr-
  45. e COa L.DC LCcCaHBIIO L. CBD Ctt a _ GHaIIS. ICa L. 6. Il d LCCL AH B Cdu 855. brin3.-
  46. tunc
  47. n e . u 11 1 . 11 1 . . e t . 1 e l p e e u pue 1 . a 1 ete a t r ul

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 1011. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:1068?run=74