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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 626

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: 0.82.

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

The machine reads it as

  1. AYPERBOLIA
  2. PROPOSITIOICLZZZII
  3. Aex hypertola aliam exhibere aequalem cuius asomproci darum
  4. Ctcat dde ta
  5. Conotuibe cumonstratte.
  6. 1. dC
  7. 131.
  8. Perele-
  9. CAbid.
  10. ETE ADC hyperbolae alympeori F D, DF: angulus dacus V Y a oportententii-
  11. berc hyperbolam, aequalem datae AB C, cuius asympeoci, darum angulum V l’a
  12. Contineane. Sic prime dacus angulus V L a minor angylo si DF, lyperboIx ABC
  13. axis ponacur DB, ex ad illum ordinacim A C, percingens ad asymprocos in R ec fi.
  14. Super fi. B seomentum describatur, circuli coninens angulum equalem V P a: qui
  15. cum minorponarur atisulo P, D F, cader bscomencum delcripcum supra D, 2dc0.
  16. que Ci aequidistans A C legmencu circulioccurrer in puticto quodam C: rungan-
  17. cur isieur (B. CB. FF; actaq; per B concingenci BI, aequidistances ponantur
  18. T. KIOcCUrenceS ABC trpertiola in N, axi DB in, M, rectae TTC in O: hanE.
  19. quc M lincis aequales OP, OO: dico P, 1, . esle ad hyperbolam, aequalem
  20. ABC, cuius asympeori E G. C F dacum obcinent anculum. cum enim ED, F F, IB.
  21. exc. aequidistene, ve rectangulum DM B est c ad rectangulum DM B, SCCOYFC.
  22. etangulum est ad rectangulum, CO I: sed Ve DM B ad DMB, SIC MN quadracum
  23. adquadratum MINid est OP quadrarui ad quadeacu O Pigitur reC OTrectagulum
  24. ad rectangulum GOT, Ec quadrarum OP ad quadrarum OP, huc OO quadrari
  25. d1. 9. 12. Ex ad quacracu OO: punctaigitur dP FO Tune 2d tispotbola enius aBmproci, OF C P.
  26. 5. huius.
  27. 26. ht
  28. quam in c P concingic Z R. quia vero G) D, OR RH aequidictane, cecta L AB
  29. aequales lunc: unde e criansula contingentium CIL. XDB, aequalia Cunc: quare e
  30. (17+. hu. hyperbole IC, AB C F aequales: angulus aurem F G F dato V T a per constru-
  31. ationem estaegualis, dare igitur hyperbolae, ec.
  32. Sic iam angulus dacus S F V, maior angulo F D D; Producaturque S F in a an-
  33. SIs. huius. Gulusigitur VTa minor est angulo H DE; per constructionem isicur primxe par-
  34. tisshuius, extibeatur hyperbola equalis AB C cuius asmproth atigilum obcineane
  35. VTa. Svilla PFO ex asympcori D Ct C F. Produeaneur DC In Y. d F O in inh.
  36. nicum: C Y aurem aqualis sC YZ iuneta Z Y HOCCHFEaE F C in X. Iguoniamipicue
  37. C
  38. T aequalessunE, d ParalleIX, rex quoque (xP, Z V aguialessune de paral
  39. lelas, _ quia Z K in L bistecta eAt
  40. tique in Y biRecta CxIC: pohtissigieue
  41. L, Parallelis 2B. Halie LLQuadratis aquali rectan gula Bdy _ Bcoy: CrUnED, Xa
  42. h1. 9. 1. 15. adhhyxerbolam quam in L Comgit ZX. dhmpeocisune Y G, OFr constituen-
  43. ces ansulum aequalem aaco. LV. Quia vero rethneula concindentium ZIG, Z ZC
  44. equalia sunE, hyperbola quoque dP a aguasis e Ryperbolae P YO id est pet EoN
  45. Aructionem, hyperbole AB C: dara ixirur hyperbole, et c. Quod erac faciendurs ul
  46. PRC
  47. penta.
  48. enris.
  49. 1
  50. 6. huin
  51. e e e oe 5areo e e ena33eat e

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 626. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0683?run=74