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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 483

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: 0.78.

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

The machine reads it as

  1. Cib
  2. 1
  3. PiPC
  4. uI.
  5. hea
  6. 111
  7. V19
  8. 181
  9. ean
  10. VIM.
  11. atum
  12. est 2t
  13. FB,
  14. I1.8
  15. et V.
  16. 1Mori
  17. AC
  18. sine
  19. nsti.
  20. sinA
  21. AB;
  22. AB
  23. Aal.
  24. MIb
  25. 11
  26. eit
  27. ebl
  28. i
  29. PA R A BO
  30. R O POSITIO CCLXXV
  31. Teparabolae AB axis BD, ad quem POa Ordinacim E. F, CFI,
  32. _IIF, R S: aucch cinde diamettis L. L, lMI. Mecsique conicuris
  33. N, MO inter OL. L. LL, _ AN, M C, deCcrIbAnEUFCIECA AxeSEL, IM
  34. Dicoparabolashas xquales esse.
  35. a pricta e L Patabolae F. L N, IP
  36. 8
  37. demonstratio
  38. remattet pet S. L. dempto quacr.
  39. deacoV P. sed cum ex constructione R P, PG. lS linc continux, rectangulu R P S
  40. deaco P O. lergo B Filarus rectum est parabolx IO P. Acqui eodem plano discur-
  41. lu B P lacus rectum cA parabola B NT. xequantur igiur parabola. Ouod erat de- 2 desin
  42. monstrandum. ib loctn
  43. OSITIO CCLXXVI
  44. buius.
  45. IE B F lacus rectumL aXCOS
  46. BV. eric ergo rectangulum
  47. VBV aequale quadrato. V R.
  48. e rectangulum XBF aequale
  49. quadraco XI hoc est quadea- i1
  50. 10 V P: icaque à rectanguloiticrit
  51. V B F pdempio rectansulo
  52. ZBT remanoc rectangulum.
  53. VXBT, aquale rectaigilo2 A e t
  54. R P S, quodlex quadratOlVK
  55. aquacur quadeaco P. O. rectangulum isieur V XBT, hoc est IPB T aequatur qua-
  56. R
  57. ile
  58. Mnis parabola patavola limilis est.
  59. Duplici modo supersicies duas euruilineas dici similes: Primo, quando similes fia
  60. a in in-
  61. finicum illis inscribi possunt: es hôc sensu archimedes ex Fuclides, Similia esse curuilinea quae
  62. dam ostendunt. Secundo similes dicuntur sizus a Curmunea quarum essentiales proprietates ea
  63. dem sunt. Nos duplicem hanc sune Parabolio nesse demonscrabimus.
  64. monsrabto.
  65. DONaNEUT ABC, DFF parabolarum a
  66. BC, F Faequales laceribts rectis
  67. EE peF G_ FI, ordinatim RC, D F: IUngANCUEqUe ABC, D E F. Ouoniam L LL,
  68. BClinexe laceribus rectis aequales lune de A C, D F ordinarim polIce, reatX P II. D FI,
  69. icem AG, BC aequales suNE: e quia AC, D FT ad axes ordinarim applicantur, adgu-
  70. si DTTE, AG B recti sunc: vnde criangula DFTE, A G B, aC PTOIndOFOFADF F, ABC
  71. Cmilia Tunc: Rursum diursIS A G, F FTlineis proportionalicer in ICK, ponancurpet
  72. L_ R ordinatim L ML, NT O: IUNGANCUEGUC L BM. NF. O. Ouoniam igitur ve BI ad
  73. BC, GC P K eA ad P HI, vE P. Iquadrarum ad quadracum AG, liC N K quadrarum eA
  74. e o g at 1 1 6 l 0 3 e6 5 t a o 5 1

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 483. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0540?run=74