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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 451

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: 0.82.

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

The machine reads it as

  1. D.
  2. lI
  3. 1C2.
  4. me.
  5. C II.
  6. ren
  7. lum
  8. D;
  9. lum
  10. AC
  11. eet
  12. icuE
  13. aM
  14. et
  15. ea
  16. D.
  17. 0.
  18. D
  19. AC
  20. c.
  21. 2.
  22. P A R ABOL A.
  23. PROPOSTTIO CCK
  24. NInC ABC cmpleos vel circuli diamett contugat AC, BD; du-
  25. Oetaque quanis C. F parallela AC, secanre BD productam in F, RanE
  26. ED, BD, CD continue, provorcionaless descriptaguc per ACC pun-
  27. cta, parabola, Culus diamerer CD, P0-
  28. naneur linex quocelinque FHI paralle-
  29. la L B, seccances emplim in I, parabo-
  30. DICOFH, IE, LH lineas eAsC PrO
  31. portionales.
  32. Demonstratio.
  33. (VE AEI C rectangulum ad rectangulum
  34. ADC, SIC FIK linca ad lineam DC
  35. a III quadracum ad quadracum BD; igi-
  36. cuE FTK linca ad lincam D C duplicacaha-
  37. becrationem eius, quam habec PFI linca ad
  38. lincam BD. inde cam E D, BD, CD pO-
  39. Sicione Encproporrionales, es ED, FHI pri
  40. meincer se xequales, sic aurem d racio DC
  41. ad K FI, cerrie adcerciam; duplicaca racionis
  42. DB 2d HII; secundae ad secundam; crunt
  43. FH TF KH in concinua analoxia. Quod
  44. erac demonstrandum.
  45. PR OPOSITTO CCVII
  46. NTemicirculo AB C decussene sese orthiogonaMet II DMaeM auX
  47. LAC, BD, quarum alcera B D bitariam in F divisa, delCrIDAEUT PEF A, L3
  48. C parabola, cuius axis E. D, ductaq diametro F C, quae lemicirculooc
  49. curratin H, Ponatur HIC.
  50. Dico F C ad C. C. duplicacam habere rationem eius, quam habet H1C
  51. ad HC.
  52. Noniam AC dupla elt BD, ec illa du-
  53. LplaFD, reCtX AC, BD, ED pTODOF.
  54. cionales tunr. estaurem F. D ad FC, in du-
  55. plicaca racione DB ad GTI, cum sIC vE
  56. AD C rectangulum ad rectangulum AC C,
  57. id est BD quadcatum ad quadeatum HC;
  58. rectxe ivicur CFo bHEr, AC in concinua
  59. Tunc analogia, sed ee AC, IIC, CC c linex
  60. proporrionales sunc; igicur FC ad GC, certia ad rerciam, auplicatam HaBex sionibus.
  61. rationem cius, quam haber HC 2d HIC, secunda ad secundam. Ouod erat de-moncu
  62. montrandum.
  63. 60051210CC
  64. ma
  65. onibus
  66. lam in IL, _ AC lineam in FI.
  67. monsoraio.
  68. ocresiont
  69. atabolas aequales ABC, OL. L MIuelSC Ad CMm axem AD, qui x-
  70. qualis sit lateri recto consticuras, conrinsancin a , lne bt,
  71. HIC: d

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 451. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0508?run=74