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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 636

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: 0.80.

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

The machine reads it as

  1. FY P ER BOL A.
  2. eROPOSITIO CACHII
  3. Acis A B, A D pro diamerris hypetbolae ad rectos anoulos constiru.
  4. eis coniusaenssectiones delcribere
  5. O3CGIMNI
  6. a1. Sit C).
  7. Constructio es demonstratio.
  8. GOnanCUE P. L, TIC aequidictantes AB,
  9. AD: Facto deinde parallelooramo ADC.
  10. ductis quoque AR, AI hanc rectis AK X.
  11. quales R, F F; rectis insuper AI aequales
  12. recta I, IIG. DiCOBEF, DGC eAC hy.
  13. perbolas coniugatas. quod sine hyperbola
  14. quarum lacera eramluerta Lune AB, A D) de-
  15. monstratum est prop. praeced. Ouod aurem
  16. coniugaca, lic ostendo. Productis BC in C
  17. DC ME, POnaNCuT FNY, CMqueaequi–
  18. distene AB, AB, dividentur ex constructio.
  19. arectis AB, AD, Vpote diamerris, si vique ad sectio-
  20. Ca luarum hyperbolarum ocenta tumc, x quidistancess igitur AB, = A D Cunc diameeri
  21. Ex 40. coniusarx, ac prohs ipla etiam hgyra coniuxare sune secimus ixitur quod fyerat
  22. Postularum. sin
  23. e
  24. ne hae bitariam in MI e P
  25. nem verimque producta intellisancur. Cuncquerectis AD, AB quae lacera transuer-
  26. frex AB, AF posira Sine ad quemcum que angusum L AB, IIIICA
  27. IICXCVIII
  28. huins.
  29. ALid SIAG 12
  30. Dico puncta DL. elle ad eandem hyperbolam cuius alympeoci lune
  31. AB, AF.
  32. que AB dinitâ sit recunque in C. C, de hac ve A C dd AB, itd BF
  33. ad CD. Sineque BC, C D paraIlelA AF.
  34. Demonstratio.
  35. neu.
  36. DVCanEUE EG _ DF, qux aequidistene A B: cum igicESE DC A C au AB, H
  37. FB ad D C. parallelogramma C. D E. b xqualia sunc paralleloxrammo BE. 6,
  38. Excon. pUnCtA ISITAE F. DDcad candem Cunchyperbolam.
  39. ROP
  40. 5
  41. F1O C XCIX
  42. AB, AE linex quemcum que angulum constiMIEnEeS, ex B vero
  43. colinca AB, ducacur BF parallela AF: e ducta quavis AC
  44. dux LB lineam lecerin C, hane in continua analosia E. B, E F, E. H quE
  45. Dalate lae Sinclinea AB.
  46. exele.
  47. uius.
  48. bCo
  49. Mt e sit t
  50. 11II
  51. 11III
  52. 111. M.I
  53. e t e i A e e at e et t e e t t et e te e e e

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 636. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0693?run=74