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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 429

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: 0.84.

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

The machine reads it as

  1. es
  2. 1
  3. d
  4. ARS C
  5. 2
  6. Proprietates contemplatur parabolarum sese intot
  7. vel circulos intersecantium.
  8. PROeOSITIO CLILI
  9. ABCaNE ABC, AD F. parabolae communem axem AF, d VetII
  10. Lcem A: ex quo demissâ linea AG qua parabolis occurrac in B
  11. _ C, ponancurper B ec C7 ordinarim ad axem linea DFI, Gl: 8
  12. CI quidem parabola AB C OccurrAT in KE puncto, per quod ex A secanS
  13. Ponacur AL ex ex L ordinatim recta LM, OcCurreNS A BC parabolae
  14. in N: dein per N PONaTuT AF, _ ex F. ordinatim linea R C F.
  15. Dico DH KIlineas, irem L. MI, C F
  16. incer se aequales este.
  17. Demonstratio.
  18. Acio AHF ad AF, hoc eA HB ad LC.
  19. duplicata eAt rationis IIB ad TK, hoc est
  20. FTD ad TC. igicur FIB, TK, TC proporcio-
  21. nalestunE. _C VE LR ad PC, SCHIB adLR, (C0
  22. HTB cs ad ITD, ve est TR ad TC; igieur
  23. HB est ad TTD, ve HL P ad TK. Xqualesigi-
  24. TUFTUNE HID _x IK. eadem rarione oMtende-
  25. cur lincaS LM, C F aequales cAC.
  26. PROPOSITIO CLIV.
  27. IIdempositis, rectxe AL, A F. SeCCNE
  28. LDE lincam in O _ P.
  29. Dicorectas FF, L. MI, GI, DHI, BFI,
  30. OFI, PHI in concinua ese proportione.
  31. Demonstratio.
  32. s
  33. Vomam NNT aequalis CAORCNIa OT, _E EF, 2L M, NM proportionales sime, a +2. huitis.
  34. eeronca L F. LM. Cl linex in concinua analooia: et quia lM, C+ l, R L P1O
  35. Porrionaleslune, _ Kllinex aequalis linea D FI, ConcinuabHIE quoq: L MI, GB DFI,
  36. racionem cum P F, LM, GI: Clt aucem pexecerea ve GT ad DHI: SCDII ad BTI,
  37. proporcionales igitAETUNE E F, LMI, CI, DFT, B IT. vicorius cum ACvE GI ad KI.
  38. Ac BTTad OFI, lic aucem ve CF IadK I; sCCFTadDFI, e WTTadBH, recte (+l.
  39. DTE BF. OHconcinux proporcionales lun ele e alId L
  40. 2dNMI, id cA ex demonstraris P M ad CT. id est CFTadD H. hocclt DH2aBL
  41. hoc est BFT ad OHI; cruncOL, DTT, BFT, OFI; PET linex, adeoque omines LLs
  42. LM, CL DFE, B F O H, P A in conrinum analosia. Duod exac demonctrandum.
  43. AThh 3
  44. 20

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 429. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0486?run=74