Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 683

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: 0.80.

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

The machine reads it as

  1. lrpti.
  2. M P2.
  3. C AB
  4. ex C
  5. Vem.
  6. ABD
  7. BD
  8. eriere.
  9. deque
  10. ire se
  11. dun
  12. siralem
  13. caboli
  14. H
  15. denii
  16. BMentl
  17. cidel
  18. alteale
  19. Ments
  20. OH
  21. e
  22. e
  23. i
  24. nen
  25. velc
  26. de
  27. 1e
  28. il
  29. 11.
  30. rere
  31. AL
  32. rero
  33. MB
  34. 0.
  35. re
  36. PB
  37. 2
  38. IH
  39. 1D.
  40. M
  41. SPFR A L L5.
  42. ROPOSITTO XIV
  43. Archimedis 25. applicatur purabola.
  44. Tlaciumuoeea (BMC) ex sccun
  45. da renolutione descripea ee recta li-
  46. nea secunda, eius quxe est in principio
  47. reuolucionis (B C) ad secudum circulum.
  48. hanc habec rationem, quam habenc 7.
  49. ad T2. quae eadem est quam habene haec
  50. duo, nempe quod comprehendicursub
  51. radio secundi circuli ee radio primicir-
  52. culi, e cerria pars quadrati excesus, quo
  53. excedie radius secundi circuli, radium
  54. primi circuli, ad quadrarum à radio se-
  55. cundi circuli, hoc est quam habet recta-
  56. sulum CAB cum una cerria quadrari
  57. BC, ad quadracum AC.
  58. Manifesti aurem Archimedis, quoniam verbolius CMt, Gual NLLIAH
  59. beac delcribere, sen sum paucis reddo: elto spiralis ex quacunque reuolu-
  60. tionc Orta DF: eam habec proporrionem ad Cuum circulum F, quamre-
  61. ccangulum D AF, vua cum quadrati D P cerria parre ad quadratum AF.
  62. AP PLTCATIO.
  63. cta B, IL, L, M, ad palabolam polica ducan-
  64. tUr ABHI, AHL, AL. M. PaceE igItuTeK
  65. Expeiant demonstraris, lesmenta paraboli-
  66. ca ABR, AHIHHD, aec. singulasreuolucio-
  67. nesreterre, rectas vero BB, HHI, L. L, ec.
  68. repraelentare lingulas ordine peripherias,
  69. ac proinde a eriangulis ABB, AIIFI,
  70. AL L, AMM Mnglos circulos extiberi:
  71. rectas Vet HR, AL, aec. sIVC AB, AC, RC.
  72. diameris in spirali AB, AC, AD L. relpon.
  73. dere.
  74. ad eriatgulum ALLII, v27. ad 12. hoc estvE
  75. rectansulu B AHI cum vna cerria qua-
  76. drari BFI, ad quadratum AII.
  77. Seo parabola AFTM, cuiusransensin
  78. squorlibet aequales partes in punctis
  79. B, C, D, aec. dividatur; ductilq diamerris
  80. BB, CHH, DL. L, F. MM, ex A perpun-
  81. Dco primo SCOMCHCHM AHNB esse
  82. Demonstratio.
  83. (NEPATCE CX ClEMEHCIS) quadruplum elt crianguli B A b: led criangulum B E B
  84. PCx
  85. VnGREUE BFI, de producatur AFI, in F, L; e BB, in O. Friangulum TIB AC
  86. e at t st t. p e r

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 683. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0740?run=74