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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 454

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. eAR ABOL1
  2. eR OPOSTTIO COXIII.
  3. s
  4. sulo AIDI.
  5. Emicirculum ABC, cuius diameter AC.
  6. concingac in A linca AD; delcripraque per
  7. A Parabola, cuius dals AC, & contingens AD,
  8. Cumacur A E xqualts laceri recto; actaque perF.
  9. ordinacim P. F, ducdcur in parabola diameret
  10. quxcunq; DO occurrens circulo in B _ 6, pa.
  11. rabola in HI, _ LE ordinatim politx in I.
  12. Dico BDO rectangulum, aequari rectan-
  13. Demonstratio.
  14. Veacur per FE ordinarim linca HT K: OHOMIAm AD
  15. aca in A circulu concingie, rectangulum BDC
  16. aequalc cAa quadraco AD, id est quadraco HK; Sca
  17. EHIK quadracum cl xqua le B rectans ulO K A F, 10
  18. AF per hypochelum aequalis elt laceri recto) rectangulum ixicur
  19. DAabolasduas ABC, DB L ac CucCMarem BF policas, _ Cm-
  20. seses seleincerius in Mlticelecor in H e A diameter quaecun-
  21. que CHs, iunetilque AB, LLB ducacur ordinarim linca LI, Cccans pa-
  22. rabolas in, lK, L, ex M, rectas AB, HB, AH in C, N, O, e axem BF
  23. in P.
  24. DicoLL. K rectangulum xquari rectangulo C PNO.
  25. Demonstratio.
  26. Ectangulum O PN, xequale clC
  27. LLc quadearo IP. Scd IP quadra-
  28. cum est x quale quadraco L P. id elt
  29. d rectanculo sFO cona cumrectan.
  30. sulo IE. K redtangulum isicur C+ P D
  31. xequalc eArectangulis CPO, IL. R
  32. eAaurem C PM rectansulum, aequa
  33. le rectangulis CPO, FGPNO.
  34. dempeoixitur communi rectateo C PO, manec II. K rectangulum xquale rC.
  35. clateulo PHC. uod erar demonatrandum.
  36. PROP651110C
  37. BDC aequale est rectangulo HD L. Uouerat demonstrandum.
  38. LROPOSITIO CCZIV.
  39. CA HDYC
  40. +2. bni
  41. ix ole
  42. meneir.
  43. Acam lineam AB divilam in C, E, I, Ds denuo ita pareiriin F. VE Fe-
  44. ctangulum AFC Cic 2d ca B L Heu Gladestum
  45. B1. :2
  46. Constructio.
  47. AE. C quauculum DB.
  48. 15L1
  49. Eatis AC, BDbisectis in L. E L. NI, erise perpendidulares L. P. NV R aequaleS
  50. Se, _ per puncca A, I, C, _ D. R, I ACCtBAnCI PalSBBI NV LMBIMMCHOOC-
  51. CMB.SLI BC o
  52. currences in C. Tum ex c dux C E. normales ad A B. Dico FaCcumL IUIBWH. ISIMCIM
  53. B5.
  54. ti e aii ut sits ete e et e e uet e u e e si s pe u sue t et se e te te e ete t ti ete p e e e t t e t t ute i 1te t e e t s

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 454. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0511?run=74