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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 395

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. I.
  2. 10
  3. B
  4. 15
  5. 0.
  6. D AR AB O L A.
  7. parabolam in B, _ F. C diamCETUM In F, OCCUF-
  8. rens vero DC linex in F.
  9. DicoAB, AC, A F lincas esC in continua ana-
  10. lo8ia.
  11. Demonstratio.
  12. DOnancur ex B _ E. ordinarim linex B FL. F. J. Racio
  13. AFL ad AD duplicaca eAtrarionis HB ad DC; id
  14. eAt FIB ad IF: scd ve HTB ad TE, SiC ATI ost ad A L.
  15. igicurracio AHI ad AD, duplicaca cA racionis AFF ad
  16. AI: quare AHI, AI, AD lincx, id eA AB, A P, A F sune
  17. proporcionales. Ouoderac demonstrandum.
  18. PR OPOSITIO LXXII.
  19. Sto A BC parabolX diameter A D: ductisque ex A lineis quibutuis
  20. A sAB, AC, qua parabolx occurrant in B _ C, ponantur ordinatim li-
  21. nEx C D, BF; e B E quidem A C linex occurrarin F; crect aq F C P2-
  22. rallela diameero AD, ponacur per C ordinarim HC, occurrens diame-
  23. eris IB, K C in l ec K. rectae aurem AB in L:
  24. DicoHL, HO, HI, EIK lineas in concinua esse analogia.
  25. Demonstratio.
  26. Voniam HO, PB, D C, ordinacim POSCE TuHE.
  27. L_ FC parallela diamecro AD, rect∞ FIC, ITI.
  28. HK in concinua lune analogia. (od _ TIL, HIO
  29. HI b proporcionales TunE. igitur HL; HG, HII
  30. HI K in concinua lunc analosia. Quod erat demon-
  31. Arandum.
  32. PROPOSITIO L.XXIIL.
  33. Sco ABC parabolae diamOteF AD, _C OF,
  34. sdinacim ad illam polita C D. ducaturau-
  35. rem ex A linea AF, sectioni occurrens in F:
  36. actaque per F ordinarim FC, CrisatUF Ex C.
  37. diameter C F, occurrens FC in F; iunganeurque A F, quae LD linex OE
  38. curratin H, sectioni vero in Bpuncto ex quo diametet demrratur BH
  39. secans FC lineani in L, & C D in H.
  40. DicoHC ad C K duplicaram habe.
  41. re rarionem eius quahhabecF F adF. L.
  42. Demonstratio.
  43. DOnatur ex B ordinatim linea BN. 900-
  44. niam FC diamerer est _ HICD ordina.
  45. tim polica ed diametrum AD, rectae AB;
  46. A FC AFI proporrionales luncigitur et AN
  47. AC, A D, icem BM, FC. dCDlincx, id cA
  48. KD, CD; HID; in concinua lunc analogia.
  49. Duare: cum veriusque Serici prima BNI, K D
  50. equales sint, racio HD ad C D, terrix ad
  51. t
  52. e t te se s t e Al
  53. 111
  54. u

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 395. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0452?run=74