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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 184

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. . p . t. te 4 i. 1 .e1 11. 1
  2. Csnoi
  3. IR CVLVS.
  4. verectangulum MIK O ad quadrater k I. Aequi reCtanguIA N L P, NIK O aguaneur
  5. quadracis CL, D R, quod GT, DR sinc ad diamerros NP, M O normales; ergo
  6. quadracum CT. est ad quadracum P. FI ve quadracum DK ad quadratum R Ler.
  7. Borecta GL cst ad rectam F HI, verecta DK ad rectam RI; quoniam isicuran.
  8. Fuli quoque GLHI, DKI, repocc recti ex constr. aequales lunc, crune criangula
  9. GLFI, DRI similia, adcoque anguli HGL, IDR aequales. ergo OFI, D Ip2.
  10. rallelX SUnE. ErgOvE A G es ad AD, SC AFI, ad AI, hoc es quia FTB, IC Cr.
  11. iam sunc parallela, Ve AB ad A C. Ouod crac primum. hmili ratione ostenduneur
  12. iunctx LF, IIE aequidhistare, adcoque esere AHI ad AI, id eA AB ad AC, sic
  13. AE ad AF. Duod erac demonstrandum.
  14. PROPOSITIO XXV.
  15. NIF ABC LCMITCMEIMI MaMCCE RC divisa vecunque in F: descripeil.
  16. DGue TuPEF A E, E C lemicirculis ADE, EFC, crigacuF F B normali-
  17. cer ad diametrum, ponancurque AB, BC, occurrences perimceris in D
  18. _eF.
  19. Dicorationem C. F ad D A, eriplicatam ese illius, quam habet C. B,
  20. dd AB.
  21. Demonstratio.
  22. VnGAnCUE DE, E F. Ouoniam E B norma.
  23. lis est ad A C diamerru semicirculi ABC,
  24. CTUnE AC, CB, C R, ItCm AC, AB, AB
  25. concinue proportionales; Cedve BC ad C B
  26. sCF C ad CF (obF FC, B F C criangula
  27. similia,) _ vE AB ad AF sC A F ad AD
  28. (ob ABF, ADF. criangula similia) ibicur
  29. tam AC, C B, C F, C F quam A C, AB, AP.
  30. AD sune concinux proporcionales: inde
  31. P. cum verique scriciprima sic communis AC
  32. Aquartam, in criplicata rarione C B 2d A B, sccundx ad
  33. PROHOSTEIO XX
  34. o C lco B, esse proporrionales.
  35. Hi
  36. honibur. Secundam. Ouo d erac demonstrandum L MIL cB
  37. ac Pelerres circuli in pltelis, , d ex A quavis rectX AC, AD.
  38. Deon.
  39. Perimertis OCCUranEIN E, F, C, FI:
  40. t ue 1 1 p 5 1. e it . u i. 1. 1 t u 1 1 te . 1 1 1 1 t t ) A

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 184. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0241?run=74