Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 506

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: 0.73.

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

The machine reads it as

  1. P A R A B OV A.
  2. puncta situr A, C, C de Pacaderan su, cuius didmeter AFC.
  3. Si vero FC linca propotoales cplis L. L, oltenditur re in pexcedenci pro.
  4. Dosirione, A, C, C ele ad parabolam. e eu ba eeheup el a
  5. sit. 59 530 e C ∞. ∞2 5B F~CeB
  6. PR OPOSI F FO CCOXXII. I ba romt. C s 30
  7. .3a1 soder.
  8. Ponantur aurem ordinac lince BF, CD; innetaque AC SCCUTTAL
  9. BF. lineis in F. dein dueta quacq: CC ad AC, contingentem, quae
  10. BE. lineas productas secet a HIH: hac ve FB ad F B: sic HII ad FII.
  11. 1311 213
  12. El aC TI
  13. 106
  14. DArabolam AB C cuius diameter AD, contingat in D linea AC
  15. Dico puncta I, l esse ad parabolam.
  16. Demonstrati.
  17. GTAnEFEFad ETK, VE BF ad FP: pateC ex elementis GR K eNse in directumi CxIB
  18. igicur IIK ad clesaCL. acumn dCaCLe
  19. componendo ve BR, 2d bF.; liC IK ad HIK, _ VE BF adBF, liC IR ad TR:
  20. unde quadrarum TK est ad quadratum IK, ve B F. quadeacum est ad quadeacum
  21. BE, id cA vC AP. linea ad lincum A E, id cAt vC C. K ad C. K. pun Cta 1B. CUL C. L. L (uhiL
  22. ad parabolam.
  23. ROPOSITIO CCCXKIII
  24. Adem Manehce ABa. Pertciarur parallelogramut aVC, d
  25. MMC, lacus occurraclineis F B in L: hac aurem re L. B 2d L. B, (iC
  26. e
  27. I ad L. I.
  28. Demonstratio.
  29. Dico puncca I,eM au patabolam.
  30. at LLHLAd MG, VE L B ad F I, _ recrA duCATUE G C occurrenS B T, lineisin
  31. indeper praecedencem puneca in l lune ad parabolam.
  32. HTT. CFICIGIEUE DE LF de LL, HLIL LSLHI. c ex ns PoM M LL
  33. E I, VEL B ad L. B, isicur _ FIP est ad FII, reliduum vE FB ad FB, residuum.
  34. R0
  35. ot23 ta
  36. 1
  37. ori

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 506. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0563?run=74