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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 499

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: 0.77.

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

The machine reads it as

  1. cirelli
  2. ludis.
  3. lITar.
  4. 80D2.
  5. inFF.
  6. CFH
  7. adpre
  8. erian
  9. DC ad
  10. cansta
  11. isieut
  12. A prO.
  13. BC
  14. Ci
  15. E D,
  16. CD
  17. NOF.
  18. reiO.
  19. HB.
  20. HP
  21. etis
  22. A20
  23. ine
  24. P A R A B O L. A.
  25. PRODOSIF LO, CCCVTI.
  26. iculum ABC, orthogonalicer in L. diuidane diameeri dux AC
  27. BD: descripeoq; Cuper A F. ve diamerro, semietreulo AF L, 20an-
  28. Cur Per F rectae quoccunque F. C
  29. _ ex F ex C7, linga demitra
  30. EFII
  31. Ol normales ad diamcerum AC, quam C7I Secen in KL. Hac aurem ve
  32. AHI ad A HI, (IC KE M ad HEM, incipiendo ex parte
  33. FHIad FFI, SIC RE L ad K L. incipiondo ex parte L
  34. Dicopuncta D, M, M, irem E, L, L ese hd parabolas.
  35. Demonstratio.
  36. VnGAREUEAF: Ouoniam FFF
  37. LGK equidistane criansula
  38. EiFTE, F K G suHE smilia: est
  39. auIcem _ FFTE crianvulum si.
  40. mile criangulo A F F. ioieuE e
  41. AFB, PKC criangula similia
  42. TunC, quia verO AF aequalis est
  43. E G, criangula AFF xqualia
  44. sune criangulis F C+K, d A F, F F
  45. lacera, aequalia laceribus (7H,
  46. RB; VAdC DE A E Guadeaeum 2d
  47. C
  48. quadratum AF, id es ZK qu4 = 13 IIV33O NN
  49. ex(uS C, iFCM VE
  50. dratum ad quadratum OK. S hc CMBirSh 23Is. eiOR C 23 MIBB: E e oles
  51. AII linea ad lineam A FI, id est per hyporhesim RM ad RM. (cd CAVE C K qu2
  52. deacum ad quadeacum GK. GC AR C; rectangulum ad rectat lilum AK C; igi-
  53. EUT VE AP C rectangulum ad rectangulum AR C, SIC M R linca CMAdHIACAM M R. 2 P~ coN
  54. quare D.M. M puncta ad parabolam sunc. Ouod erac primum.
  55. Rurlum cum litve E HI 2d R II, GIC PR ad LR, SIC alITCM VE FH ad FHI, AC
  56. EF quadrarum ad quadeacum F. F, id est F K quadratum ad qualarum P. K: exie
  57. et L. K linca sd lineam PK, De F K quadracum ad quaatatu L. L: vnde F L. L
  58. puncta lyne ad pasabolari. M. 1
  59. SCISBIB sALBCHBTOXO
  60. a 3GpOMED RO POSLIDHO CC
  61. Incad AB diamertasem quotcutique de
  62. dscripci circuli convingenres selcin eodem
  63. puncto As guorum diameeri A B; NIE, AL,
  64. AM, ac. ductaq: ex B lideA BCs conringa
  65. circulum minimum in B. reliquos autem le-
  66. cer in tuF, CpLI. hanc aurem lineis BD.
  67. BEsBB, BC5 80. xequales rectae H O, L R,
  68. MS, NF, eec. qua cireulos concingane in
  69. C. MNO, 8C. AT1 2 caueII
  70. Li B Y MvLa
  71. Dico B, , B, Sules B. BuNetQ esse ad pa-
  72. rabolam cuiusi A B, laTUIS reCtum du
  73. Demonstratio.
  74. rasis
  75. 1X
  76. Vonam BD normalis eltad communem dia
  77. Lmerralem AB, quadratum BD, _ ad quadea-
  78. cum BF. vE ABK rectangulum ad rectangu.
  79. 105
  80. vites
  81. b292. tovin

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 499. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0556?run=74