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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 1091

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: 0.90.

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

The machine reads it as

  1. CONOIDES HLPLRBOLLCYM
  2. 9
  3. Demonstratio.
  4. Donacur enim R F paxallela FIF. Ouoniam
  5. angulus B AC rectus ponieur, isieur craul-
  6. verla diamerer ex recta. hyperbolx DF. F X-
  7. quales. suncintor (e. Vnde rectanguluL. HID
  8. aequale eA b quadraco TIF, a rectangulo
  9. LRD aequale RT quadrarum, quia vero
  10. diometer eransuer (2 T. D est parabola DTK
  11. lacus rectum ex constructione; isitur rectan-
  12. gulo FD R aequaEuE quadeatum R I, d rC-
  13. ctangulum T. D HI aequacur IIK quadrato. sed
  14. rectangula L FID, L. R D, aequancur c rectan-
  15. sulis L DFE, I. D R, cum guadearis D HI, D R.
  16. ergoquadeaca PHI, T R aequantur quadracis
  17. RH, TR cum quadraris DII, D R, hoc est cum
  18. quadracis GTI, S R, TUnC eNIm D FI, DR pa-
  19. res GFB R S5. Primis quod angulus CDFI, Cx
  20. hrpochesi sc lemirectus, angulIVCrO S RD;
  21. GHD recti. Cum igitur quadrata RY, FII
  22. aequalia sinE quadracis IR, SR, _EKTI, C II.
  23. igicuE DTFHI ductum in Ic, aequale cA
  24. DTKH ducto in se simul cum DSGFI in SC
  25. ducto, reparet ex dilcursu quadeagesime quin-
  26. ex libei de ductu plani in planum. Sed scurle
  27. habene quadraca F R, F HL, ad bina quadrata
  28. TR, S R ebina KFI OFT, ita se habene circuli ouadratorum illorum lateribus can-
  29. quam radiis descripri. Igitur eriam conoides hyperholicum D F. OF aquale deA d 12G. hn:
  30. conoidi paraboliCoD P NK, Smul cum COnOD O M C. Ouod tuic demonstrandum.
  31. PROPOSITIO CXCVI.
  32. VINE AB, AC alymprori AGuTX
  33. D DIF cuius axis DF, de diamerer
  34. transuer(a D FI. Consticuca deinde AC
  35. quecum axe AF angulum lemirectum
  36. constiruat, ponatur eidem AC paralle.
  37. IaDM O: deinde pOnaEUE D F. F hy-
  38. Perbola cuius a(ympTOTOS AC, e lacus
  39. tranluertum FID, d Simul Ponatur pa-
  40. Fabola DLF, cuius latus rectum quo-
  41. que sic DH, eandem AaE VE FF. ad
  42. FL, ita FIad FIE, d per puncta
  43. DK delcribacur linea, ponacurque
  44. DNparallela AO, e circumvolurio
  45. DIE, DKF, DNF producar conides
  46. ee conum, cuius bales circulares line
  47. IT, KK, 1S.
  48. Dico conoides hyperbolicum DIY
  49. aequari conoidi parabolico DKK (-
  50. mul CUM CONODPNYS.
  51. C3 secuna

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 1091. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:1148?run=74