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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 512

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: 0.84.

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

The machine reads it as

  1. 2
  2. ie
  3. P A R A B L. 1.
  4. ROPOSITIOLLCXZEI
  5. ( CA BI
  6. Scd AB C parabolae diameter AD, ad quam ordinatim ponaneur
  7. Lslinex BF; ducantur adc ex Blinca BF, inter se parallela, X pro.
  8. porcionales Inels LB.
  9. Dicopuncta A, F, F. esse ad parabolam pI1
  10. 217iOG c1 31I
  11. ale. nC
  12. Demonstratio.
  13. VnSanEUE FP: Duoniam eam PB liteae incorse,
  14. quam B. B aequidictane, anguli E, BB aequales lunc:
  15. undecum proportionalia sine lacera s B, BP, aequales
  16. sulos conrinencia, criangula quoque P B F incer le
  17. limua. alleoque e FF lincaexequidittances sune
  18. aduleem; de F B lincis proporcionales: Quadra,
  19. nigirur L L eA ad quadrarum P F, CVE F. B, quan
  20. racum 2a quadrarum, E B, id cst De AF linea ad
  21. um AB: inde puncta A, F, F sunc ad parabolam:
  22. DSITIO CCCXXEVIII
  23. Sco ABC parabolx diamecet AD, d ordinatim ad illam potea
  24. SeD, BF: e E B, quidem juncta AC, dividar in F: ductis aurem
  25. parallelis B C, quae A C linCX OCCUT-
  26. rantin C: AaEVE FB ad BG, SIC FB
  27. ad BFI.
  28. Dico A Es puticta eNe ad parabo-
  29. 2.
  30. Demonstratio.
  31. Vngancur enim DH: Ouoniam E B, BH
  32. linex proportionales lunc, lineis FB,
  33. B∞. et anoulus E B e communis, erign-
  34. sulis FBC Smilia sune criangula F BFI:
  35. sune aurem e FB C criangula quoque (-
  36. Sto ABC parabolae avis
  37. BD, cui parallela POnatuF
  38. AF, Eccans parabolam in A.
  39. ducantur aurem ad axem ordi.
  40. natim linex F C, _C INFOF FP,
  41. E C MediX PONANEUEF. C.
  42. Dico A, C, B puncta esse ad
  43. parabolam.
  44. Demonstratio.
  45. gula similia sunE. Ouare DE F: B ad F, B, SC F. HI ad F. HT, adeoque per praeceden.
  46. rempuncta ae andem sunc parabotam.
  47. milia, cum eam PB linexe incer se, quam BG rectae aequidistenciisitur de R B FT crian-
  48. PRO POSTTIO CCOXXXIK
  49. 4+. huius. Fi SC eniM VE A P linea ad lineam A E, siC F P. C grectangutu ad rectangulum FP C
  50. igitur e P C quadrarum est ad quadlau e Ve A B linea ad lineam A F: qua
  51. 0 a Pra pat aLa HC.
  52. PRO.
  53. Su se s et su grr. s e e u tit e e te t t e te s t. t et est e e e e e su te e e t t o e ete tt s e l e

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 512. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0569?run=74