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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 641

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: 0.81.

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

The machine reads it as

  1. ra1.
  2. AC.
  3. Atat.
  4. Oque
  5. P rC.
  6. lEC.
  7. Qud.
  8. Culus
  9. HB
  10. con
  11. COn.
  12. BLV
  13. M. d
  14. qu2.
  15. ODem
  16. veem
  17. in
  18. 1C.
  19. lont
  20. IBH
  21. aB1
  22. atune
  23. eBA
  24. ad12
  25. dHy.
  26. DOn
  27. 1IIII
  28. TTY P E R BO L 1.
  29. P R O POSITIO CCLX.
  30. rculo AB C POnantuF ConCenEricI D F F. COHMMCAL GuOM AC
  31. scircellum AB C occurrens reliquis circulis in GO. Fiancauremre.
  32. cis A C x quales F l, Orthogonaliter crectx ex P. P. punctis.
  33. Dico BII esse hyperbolam cuius
  34. diameret crahluerta eAt BHI.
  35. Demonstratio.
  36. Vadraris AC equalia sunc rectangula
  37. LCD A, hoc es HEB. isitur ctiam
  38. quadracis R Laequalsa sunc rectangula HIF B.
  39. quare rectangulum HIEB ad HIEB cA, VE
  40. quadracum L I 2. l FL quadeacum; PAFCE
  41. igicur FTB elle lacus cransuersum hyperbo-
  42. Ia BII. Ouodtuir demonstrandum.
  43. PR O POSITIO C
  44. Andem hyperbolam producere in infinicum eadem praxi.
  45. Constructioes demonstratio.
  46. Filac rectanisulO AB, AC, sive quadratO
  47. LAD aeguale rectangulum F A F cuius
  48. lacuS. A F minus sIc lacere AB. deinde de-
  49. Scribatur. circulus cuius diamerer (IC F F, _
  50. ducta SINE R MN, crunc rectangula M R W
  51. aequalia rectagulis PR 9. ductisicaq; CFIK
  52. Parallelis AV, tane rectangulis TIOR X-
  53. qualia quadrata +C. Dico CTesead can-
  54. dem hyperbolam IOD. nam ance octensum
  55. est ese II ad hrperbolam. In super ex con-
  56. Aruct. sunc rectangula MI R N aequalia re-
  57. ctangulis PR O, isicureriam quadrata R O
  58. equalia sunc rectangulis M R N, sed perpre.
  59. cedentem quadraca R O, CTlunc ad can-
  60. demhyperbolam, ex eo quod quadrata R O, L
  61. OT sint aqualia rectangulis MI R W, HICR:
  62. isicur produximus hyperbolam DOO, quod
  63. requilicum Fuerar. quod si vlcerius candem
  64. hrperbolam excedere quisincendac. candem
  65. praxim excendac ad circulum maiorem cir-
  66. culo P HF, ita tamen ve oblerverur eadem
  67. condicio, quam haec propolirio requiric.
  68. PROPOSTFIO CCXI
  69. IIrculum AB C cuius diameter BD secet quaevis A C orthosona ad
  70. AB D, _ pONANEUF E F gux xquidistenEB D, OCCUrreNteS A C in pun-
  71. Ais CC, cum peE Cenerum K _ puncta C, aganTuEK, PFI, rectis aurem
  72. K, CFI, hanexquales CI.
  73. Dico BIC esse ad hyperbolam.
  74. MMLITM 3
  75. Demon-
  76. es si ete ap si t e ite tis ea et pue ta ite t t t e e e ut ti sta it i e ee t e ti ea A t e t t a

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 641. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0698?run=74