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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 1026

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. 1026
  2. d20. vaaee.
  3. VNGV. L A P A K A BOLLC A:
  4. Demonstratio.
  5. lcca AB in L, dUCCAqUCL P. AL; Perre:
  6. CEAS L MI, MO C dueacur planum taciens
  7. in plano FK C: communem leccione RIC1,
  8. ee in plano AC BIECTIODCM L. K C, in super-
  9. Acic aucem chlindrica rectam PIC. Quo-
  10. niam AM ex construccione parobolam AP. B
  11. concingit in A, erBOAL B, PM aequales lune
  12. linex. cum ergo planum FK C aquidistet
  13. AM B, erit quoque O K D aequidistans L M.
  14. ergo ec R I aequalis IHI, cum criangulum
  15. T. MC, Similc AE KC C criansulo e L B ad
  16. EM, VE RI ad IC, quare ceriam GF PAra-
  17. bolam FKY concingic in F. Quod deimon-
  18. Arandum Fuit.
  19. PROPOSITTO XC.
  20. DOnatur cylindrus parabolicus re
  21. Ctus ABCD sectus quacunque
  22. sectione perrectam DF in plano D AF
  23. policam, extribente secrionem FOD.
  24. DicoFGD esse parabolam.
  25. Demonstratio.
  26. iuita bitariam A D in E, sIEEB diame.
  27. cer parabola ABD, per quam ponacur
  28. planum parallelum ad AF, exhibens commu-
  29. nes incerlectiones FHI. HIC, BC. Deinde Aa-
  30. CUAEUE PK aequidistans L A, eric IK ordina-
  31. eim posica ad diamerrum E. B. secundum LK:
  32. tiac sectio aequidistans AF, occurrens plavo
  33. ECD secundum rectam MNV, qux proinde
  34. Parallela erir rectE DF per 16. II. exhribens
  35. precerea communes incerlectiones cum cylin-
  36. dri superticie KM, ON Pacallelas incer (C; Po-
  37. licaigitur ex N recta NP, qux xequidistetOK
  38. Crit OR P paralletogrammum, ideoque PN,
  39. aequalis est K O, d quia bitariam dinila cAO R
  40. in I, diuidetur quoque PN, bitariam in O per
  41. TE, communem incersectionem planorum
  42. EBC, _ ORM qua IE aequidiltAE RM: 20
  43. proindecciam MN bifariam dinila est in L,
  44. eA vero d FD bilecta in II.
  45. Deinde quoniam cplindeus ex hypoc. rectus
  46. eA, CrunEangULi F AD, MK O hOC CA MPN.
  47. recti rurlum quia A F, F D aquidistane PM,
  48. M N, d anguli A F D, P MI N ParES CrUNE crIan.
  49. Sul2 ergOD AF, N P M aeguiangula lunE. FrgO
  50. DE AD ad PN, siC FD ad M N. ergoquades-
  51. cum AD es ad quadracum PN, hoc CARO.
  52. DE quadrarum FD, ad quadEAEUI MN. sed
  53. quadra.

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 1026. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:1083?run=74