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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 1027

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.

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

The machine reads it as

  1. VN GVLA P AR ADOLFCA.
  2. 1027
  3. quadracuI AD CH da quAdEaCUM RO, VE- F B ad BL, HSC CA, VE FT C ad F 9. 2 1. parab.
  4. ergo quadracum FD eA ad quadeacum MNT, vE TIC ad LO. C Ca ED
  5. MN bilecta sinc in FT _ L, erit quadrarum F FT ad quaLACM AI L, ve HIG ad
  6. T G. ergO FM OD parabola est. Ouod crac demonstrandum.
  7. P R O P OSITIO ACI.
  8. Ixlinari recti parabolici balim ABH sccetGuS A C, LccUMOUI
  9. quam de rectam AD Facta lectione ACF, crectaque ex I puncto,
  10. quo dividicur A. C. bitariam diametro IB, Ponatur planum per IB pa-
  11. Fallelum rectae AD, exhibens BF. rectam in Cuperficie crlindri, qua bis-
  12. secta in C, Ponacur per C X AF lincam, planum AGF; de ponantur pla-
  13. NA per ABE; _ CBF. qua exhibeane communes incerlectiones AC,
  14. GF, DE, F F
  15. Dico corpushabens basim ACF, ec hxdris ABG, BCFC, inclusum,
  16. aquale ese corpori quod tc sub basi AD F, claulum planis AG F. D X
  17. CEF: Sivecocum prilma ACFDE B, plano AC F bilecari.
  18. Demonstratio.
  19. Droniam planum TB E parallelum AL
  20. Llecat bitariam A C in T, secabie quoque
  21. DF in E bitariam, gua parallela est rectae
  22. AC e consequenter diuidec bitariam rects
  23. AF in puncto R, Ced ex constructione pla
  24. num AC F dlividic rectam quoque BF bita
  25. riam in C, Parallelogrammumisitur IB G R
  26. xquale est parallelorrammo REF F T. Oua
  27. re cum prramides IBGR A, RGEL F X
  28. quales trabeane bales, ee alticudines irem pa
  29. res linc, quod planum IF. aequidister recti
  30. AD, CF e BiseceEreCtAS AC, D F prrami
  31. des ∞: quales crune. Sed criam eorum prisma
  32. AIT DE B XQUaTUE EOTI ICFLFB. CrgC
  33. e reliquum IBK O F C aequarur reliquo
  34. ROF L D A. quibus ( adda5 aequales illas
  35. prramides, crie solidum AC F G B par (0-
  36. lido ADFC F. Ouod crac demonstrandum.
  37. ic dehuo nus pacadencus iectus Cuus vaus palabora lve,
  38. ducla deinde guamose forcsane LB, atutcls B,
  39. BD. bilccen c m a e a camenatum lint LlI, ,l
  40. ducancur A tl, HIB, Bl, ID, perrectascandem AV, AB, BV, a AII
  41. neas AlE, EIL, BMA, Iti, DB:h Plato autem aMsccclones lactate
  42. ducancur parallela laceri AR plana qua faciane in plano R MO, lccHo-
  43. nes L. S, F. Z, C. V: ducra deniqui diasonali AO Eat lecrio per AO: quae di
  44. vidat
  45. PROPOSITIO XCII.
  46. AIB, Bl, lB. Plaita Penateur caocnua in chMmar LaBence scclasi-
  47. neS S MI, Z L, YN; in planiS verO ADOIE, ABNIK, DBMIO IccciO-
  48. ot e ur t 7 Hueu o he Hstrte 1 f gu Be s f ert e S A

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 1027. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:1084?run=74