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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 185

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: 0.83.

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

The machine reads it as

  1. O2
  2. males
  3. 31
  4. am B
  5. InEcIII
  6. CHI
  7. AB
  8. octet
  9. 2d
  10. deli
  11. B noI
  12. Det
  13. trabe
  14. ircult
  15. C
  16. mb
  17. nales
  18. 3, seb
  19. ACi
  20. CIR. C V V Y S.
  21. Demonstratio.
  22. Gacur reCtA BR peF GS OCCUEreNS AD in F
  23. x perimecris in Ide K, cum rectangula AL. TI.
  24. EF B,xqualialinc, rei ex rectangulaIL B, AT. Iis
  25. _ RPB, ALD; cruncraciones blacerum recipro.
  26. ca: hoc ett, eric AP ad L B, vE OP ad FTL, e
  27. AL. ad F B, VEIF, ad L. I, vel KL adt L D: qua-
  28. re cciam ve GT. ad I. FI, cita IG ad TTF, _ LR
  29. ad F D, sivc LR ad F D. rursim cum sIE VE A C+ ad
  30. G B, ita IC ad F G vel KC ad CC (Ob AGF.
  31. CGB, Icem KGB, AG C. rectangulorum aequali
  32. cacem) erit IG ad G L, VE RIad F C. QuaEC CX X
  33. quo F. C ad F D ve Ci F ad FIF. Ouod fuir de-
  34. monstrandum.
  35. PR O POSIFIO XXVY
  36. Puncto P exrra circulum posito, ducta ad cenerum ejuldem H
  37. Linea AD dinila licineres continuo proportionales. quarum media
  38. Sc lemidiameter BD, terria C D: crectaque ex C perpendiculari CF,
  39. IUnGRnEUE AF.
  40. Dico A F contingencem eNe _E COHETA.
  41. Demonstratio.
  42. DOnatuE DF. Ouoniam DC, DB id
  43. eAt DF, D A, circum angulum Com-
  44. munem ADF proportionales (WHE,
  45. CrunE FCD, AFB criangula similia:
  46. unde angulus AFD aequalis est anou-
  47. 10 FCD per hypochesim recto: quare
  48. AF circulu corinoit. Ouod erat primu.
  49. Tam vero sic AF contingens _
  50. FC normalicer ad AD diametrum po-
  51. Sira. Dico AD, BD. CD in concinua
  52. cleanalogia: Cum enim AF siE Concingens et FD diameter, erie angulus A L D
  53. rectus adeogue aequalis angulo F CD, est aurem angulus AD F communis crian-
  54. sulis AF. D. FCD, igitur eriangula illa sumilia sune, et AD ad D F, id cst D B, VEDF
  55. id DC. Ouod crac demonstrandum.
  56. Est bac apollonus L. prim. propo s. 35. alicer demonistrata,
  57. PROPOSITI LAVIIL
  58. TOntingat AB linea circulum BC D: ductaque AD Per cen-
  59. serum ponatur ad illam orchosonalis BF, quam in C. secet quxedam
  60. AF, occurrens circulo in II, F:
  61. Dico quadrarum AB, aequari rectangulo F C HI, rna cum quadra:
  62. id GA.
  63. 35. Lerri
  64. Demon.

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 185. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0242?run=74