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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 279

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: 0.73.

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

The machine reads it as

  1. B
  2. E L L IPSIS.
  3. les, e iam ostendi aeguales oriam esse rectas D FI, FT C; isitur =CC F D, Xequales 226. Promi.
  4. tunc. similirer octendemus BF, D E. aequales eAte. C onstac ergo vericas propolicionis.
  5. PROPOSITIOLXIZ.
  6. TIdem posiris producarur D G, donec AC linex occuratin I.
  7. Dico A6h AGC, AFC criansula in conrinun esle analopia.
  8. Demonstratio.
  9. X superiori demonstratione, in eriangulis CFC, F HD, pacec omnia ense
  10. equalia, adeoque latera eriam P FI, IT C lune xequalia. considereneur modo crian-
  11. Sula DFTO, BIIC, in quibus cum duo lacera DEI. HIF, duobus laceribus CFI, HIF
  12. equaliatine, angulusque DHIC aequalis angulo CHIF; ad baum criam aequales
  13. crunc anguli HIGD, CFFI ac proinde DI, CF sunc parallele: adeoque ve A T ad
  14. AC, SC AC, ad AF, sed eAt ve AI ad AC, sic ACT criangulum ad criangulum
  15. AC C: _E VE. AC ad AF. siC A C C criangulum ad eriangulum A F Cs igieuF vE
  16. AC Irriangulum adcriangulum AG, C: sic AC C criangulum adcriangulum AF. C.
  17. Quoderac demonstrandum. ivs cbcu
  18. AEC
  19. i. PROBOSITIO LXX.
  20. Eliplim lecenebinae diameeri AF, A F in punctiS E _E F, et QuIBUS
  21. GdUICANTUL FC, E B cangences elliplim, occurrentes diametris in C
  22. e B, IUNGAHEUTG; P F. LS8L 111
  23. Dicorriangulum AC F erianigulo AB F. xqualccAo.
  24. 1292
  25. onratioI.ari
  26. 31ISZBIT SI.
  27. X puncto F. ad A F duc ordinatim L. K, eric hEcBCaH
  28. Ldenei LParallelas ideoque criangula AF K, ACL
  29. similis lunc, ac proinde duplicacam habenerarionem ra
  30. cionis AR 2d AF: hoc est quia c AK, AF, A B CunE
  31. eres concinuxe proparcionales, rarionem habene quam, oci
  32. AR ad A B. scd etiam est vE A K ad AB, GC Friansy.
  33. lum idem AF R ad eriangulum AF B. ergo criangu.
  34. IUI A E K ad eriangula ACF; AF, B candem habeC
  35. racionem, aequancus ixicur erianeula A C F, A F B: 940d
  36. erae demonstrandum.
  37. BGe
  38. IaieA e op 403GMCI
  39. C A 35 sAB CITEI 10221C19Y :5. IIpi 1
  40. 11be. 33I.
  41. 3E. HOC): CMIVEEBE
  42. ed odil. I D Cesol
  43. 3o.la: ct 2) crimnon
  44. :e p adtiil
  45. 139 ACCB N 5. 13~ G12C 1. 1 2
  46. t
  47. 31 23BE 1H 3e29 BOVC.D E ISF Sla 2CC
  48. reser eti 2B de
  49. 1.
  50. .et L. 3 31.D0 1013 3: a) 5.XHt d 1. Si L. N (15 19
  51. sit. BBCB it tAI.
  52. b 13. tviu 5.

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 279. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0336?run=74