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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 194

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: 0.88.

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

The machine reads it as

  1. et p u e 1 e1 11
  2. IR CF L VS
  3. P R O P, OSITIO,XLVII.
  4. ectam D BF. Poneres eua recta, aqualem BF. consticuat.
  5. Constructio ex demonstratio.
  6. DOnanEuE AB, C B concingences in B, circulos
  7. ABD, BP. C; occurrences perimetris in A e
  8. C: dein per A, B, C, circulus delcribacur ABC,
  9. quem in B concingat D P: dieo Factum quodpo.
  10. Culacur. octensum est enimlesmenca, ADB, BEC,
  11. ABC esse incer a le Cimilia adeoque DB
  12. tangencem in B diuisam bbifariam: poluimus igir
  13. cur per B rectam; _C. Duod cras Faciendu.
  14. PROPOSITIO ZLYTII.
  15. Ecencinnicem repriuscilculi duo ABC, AHB in A de B. Opor.
  16. ceac ex B rectam educere BF. F, ve E Fperimerris incercepra sic data
  17. Construitio e demonstratio.
  18. Onsticuneur BC contingens circulum A HB in
  19. B. oporcec dacam lineam D, hac concingence ma.
  20. iorem non eNC; iunetis A C AAE VE C B, ad AB, ita
  21. D, ad C. Dein ips C Hnc aequalis AF, d iuncta BP
  22. perringat in B: dico factum ese quod perieur. Ducacur
  23. enim AF. quoniam angulus AF B cam cum angulole.
  24. smenci AHIB, id eA ABC angulo (ob C B cangen.
  25. cem) quam cum AF B, duobus rectis cA xqualisi dem.
  26. Peo communi AF B remanebunc equales anguli AFP,
  27. AB Cisunc aurem e anguli ACB; AF B cidem inf.
  28. Rences areni equales: similia igicur lune criangula A P P,
  29. ACB. vndo AF est ad FF. ve AB ad BC, id ct
  30. per constructionem ve C ad D: de Permutando ve AP
  31. ad O, sC PF ad D: quare cum AF, _ C aequales
  32. POHANEUT, CTUHESE PF, D linex aquales. Pertecimus
  33. isicur quod postulabatur.
  34. PR OPOSFFTO XL. IX.
  35. Ndato segmeco circuli A BC, ex A, ex C duas
  36. lincasinclinare, Pele inperimetro decussantes:
  37. quae datam incer se racionem contineant G adH.
  38. Constructio es demonstratio.
  39. Tuisa in D rectâ AC, seomencum subcendente, se.
  40. cundum racionem C ad FI; bilCCCET AFCUS ARC
  41. In F3 _E PEF D ex E, rECtA PONAEUE FD B, iunganEuE
  42. AB, BC: Dico AB, B C ese quelicas. Cum enim an-
  43. Suli ABE, P B C aequalibus arcubus insIsenEeS equa
  44. c3. sen. Les line, eriec AB ad BC VE AD ad D C, id est per constructionem ve C ad FI.
  45. ClRCV.
  46. Neerlecent seleinuicem duo cireuli AB D, BF C in B. OporreaL per B,
  47. 2II. huiu5.
  48. ta Amiuia
  49. Equalis.
  50. ie e u es e ue s e u . e u it e a p 1 t ( 1 i e p . . 1 p i a u. n pr u 1

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 194. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0251?run=74