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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 21

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: 0.86.

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

The machine reads it as

  1. Ca
  2. A R S
  3. PO TENTLA.
  4. dF. C
  5. De Frianculis, eorumque propriecatibus.
  6. PROPOSIFIO X
  7. Sto AB C ciangulum Ilolccles, habens
  8. sds AB, AC, lacera aqualia; duCanEUTG.
  9. ao ex A et B normales AF, BD, adt op-
  10. in F.
  11. Polita latera, occurrentes (ibi muruo
  12. Dico esse AF ad BC, vE AD ad DB
  13. Demonstratio.
  14. Voniam anguli ARB, BDC; per constructionem LCCISunE, de anouluS P BF,
  15. Lcommunis eriangulis E BE, DBC, erune R B F, DB C crlanoula incerse simi-
  16. lia. F. odem modo ostenditur criansulum AF D, simile criangulo DBC: vnde ve
  17. AD ad DB, sc AL ad BC. Quod erac demonstrandum.
  18. P KO P OSITIO XX.
  19. X quovis puncto baleos eriangu-
  20. Lli ABC IIolcelis eductA DF, D F.
  21. extribeane angulos aquales E. DC,
  22. FD A, IUAGANEUTGUe AE, CF.
  23. DiCOAED, CFD criangula else
  24. incer se aequalia.
  25. 1
  26. Demonstratio
  27. iVmenimcamangulus FD A, angulo F DC pet constructionem, quam an-
  28. LguluS F AD, angulO F CD aqualIS SE, CFUNE A FD, C F. D crianoula inFCF
  29. se similia. OMarC VE AD ad DC, AC ED ad ED. Rursum cum angutuS FD A,
  30. aequecur angulo ED C, addico comuni angulo F D F, eric angulus F D A, xqua-
  31. lisangulo C D F. Vnde cum ex latera, ae quales ansulos contmentia, reciproce sInE
  32. proporcionalia, aerum AP. D, C FDccians ulaincer se aequalia. Ouod ex ac demioH- a ls Seut.
  33. Arandum.
  34. PR OPOSITI O LAL.
  35. Tne duo criangula LCOperimeErA
  36. ad ABC, ADC, super eadem bal
  37. AC consticura; divisilq; AB, C D la-
  38. ceribus proporrionalirer in F _ (2;
  39. AHCaHEUE F F, GFI parallelae Ba(IAC:
  40. Dico lloperimeera quoque
  41. EBF, DGHI criangula.
  42. Demon-

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 21. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0078?run=74