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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 133

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: 0.88.

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

The machine reads it as

  1. 12
  2. d
  3. lec
  4. prine
  5. leme
  6. i
  7. hoch
  8. CEOMETRIC A.
  9. Lemao
  10. Seo linearum AB, BC)
  11. ED progrectio cerminaca
  12. In R, ee ex punctis A, B, C
  13. EC. crigancur parallelE AM,
  14. SNV, CO, _C. qua PEOPOE-
  15. cionales sinc ipsis AB, B C
  16. CD, XC. ducatuTq; Cx pun-
  17. eto Madcerminum proerei.
  18. sonis R, linCA MR. Dico
  19. hanc per omnium parallela.
  20. cum exccemicaress N, O, P, sec. transice.
  21. Demonstratio.
  22. psideremus primo lineam BN; AI EFGO HLK nON ETAnAE Per NI, Sccabie li-
  23. neam BN supra auc infra N, in T. Cric ergO MTK vna recta. Et quoniam
  24. cogressionis AB, BC, eC. Terminus es R per 82. huiuS, CrIE VE AK ad BR E0
  25. AB ad BC, hoc est, ex datis AM ad BN: aequi cciam ve AK cA ad BK, siC
  26. AM ad BIs ergO AM eAt ad BN, ve AM ad B I maiorem aucminorem quarii
  27. BN, quod est impossibile. Non ergo secabiE MK ipsam BN lupra aUE inETa N
  28. ergo in Nisimilicer ostendemus rectam N K (hoc est rectam MNT K. ostendimus enim
  29. modo puncto MNK. essc in vna recta) cransire per O. dx sic de cereris in intinirum:
  30. Parerixicur vericas temmacis.
  31. P R O P OSITIO CZZXI.
  32. Seoplanorum rectilineorum similium similicerque policorum leries
  33. LMK, balibus indirectum collocaris, cerminum habens longicudinis
  34. punctum R. Ex verriec aurem MI, ad K ducatur recta MIK.
  35. Dicohanc per omnes omnium angulorum rocius seriei rertices N, O,
  36. C, Q: eec. tranlic: sive coram planorum seriem ansulo AFM inferi
  37. peam essc.
  38. aca licprimum teriestigu.
  39. rarum erium quacuorile
  40. lacerum. Cum ixieur ex hypo-
  41. ches planorum series termi-
  42. netur in R, balium quoque
  43. proscessionis cerminus eric R
  44. perr24. tuius: _ quoniem pla-
  45. nA A N, BNI. de C. Similha CunE,
  46. Timilicergs posica, ex elemen. a
  47. eis paret lacera BM; CN.
  48. DO, _c. incer se para IIela cf.
  49. sC, ipElque AB, BC, ec. proporcionalia. ergo per lemma priecedens HK eranCE
  50. per omnes vercices W. O, P, C ec. Quoderar demonstrandum
  51. demonstratio.
  52. Sitar

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 133. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0190?run=74