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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 629

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: 0.78.

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

The machine reads it as

  1. pun.
  2. 1
  3. alleta
  4. CDCO.
  5. mpTO.
  6. sulum
  7. CCTIo.
  8. CCTID.
  9. C.
  10. VI.
  11. Demt.
  12. Coni
  13. qui
  14. ecris
  15. in
  16. malIS
  17. inD,
  18. reuli
  19. AIP.
  20. ana
  21. Fb
  22. 1
  23. 1
  24. 2
  25. 2d
  26. Vi
  27. 1a
  28. l
  29. WIHIIIIII
  30. AYP ER BOL
  31. eRODOSITIO CLXXXVI
  32. Lin cuiuscunque sectionis diametre ptoCa, Pucuuur aumatur,
  33. ctuum puncta:
  34. Dico in parabola parre diametri a verrice eiuldem _ contingente inFer-
  35. ee ab illo ad sectionem concusemes a, uG aCHIq; CoACa-
  36. iungenre incercipicur linea. empaeMalorem, inhyperbolami-
  37. ceptam xequalem esse illi, quae ab ciuldem vertice e linea contactus con-
  38. ROreMI.
  39. est au
  40. Demonsrato.
  41. IE A B C conus, sectuS erianouIO peFareM A B C, diameter aurem BAlEoS AOB
  42. SE A B in qua assumpeo quonis puncto R; ponacur B ET aquidictans AC, X F I
  43. normalis ad AB, cum per FIE, e PB, hac sectio exhibens in superticie conilineam
  44. CFTT: Cric illa parabola: ponatur exinde axis coni C D, pertciaturque parallelo-aL. Depa
  45. Srammum CDB, cuius laceri BMI OCCUEraE FFY producta in F, iunctaque C F, dia- rabola
  46. MCErO AF prorractae occurrat in K. ponatur aurem per P concingens circulum
  47. AlB in l: convemer illa cum AR. CR MMeisin K, vripropolrZ. de pacabola
  48. octendi: vicerius, h lecundum TK e per C relccem coni, planum incellioaeur du-
  49. ci, continger illud superticiem coni secundum lineam CI: vei propolic. 17. de para-
  50. bola oltendi: eadem quoque propolicione oltemum est iunctam IF, parabolam in
  51. lcontingero, e L. II, IIF lincas elle aequalesiquod etac primum.
  52. Rursum inEeF F _ R in F K linea punctum Matur quodcunque G; iunctilq;
  53. F, C, TC secundum YF, F. C liire as pranaasacur, exhibens in coni superticie li-
  54. neam L. I: Crit YF L bellipES; oporter aurem ostendere TC, eandem contingere br. vol2
  55. In _ CL maiorem esse L P. Ponacur per L linea FN, ae quidictans BC in pI2- De cllipsa
  56. cum L C maior sic PN, recta quoque L C maior est P. F. deinde cum verumque parabola
  57. Pranum CTK. in sed CLe Colteltisic luperticiem coni, ec F IP elliplis in vnocan- c Ibid.
  58. cu puncto occurrie C I linex Mmirum in L. planum CTK, in Ladcoque e OY
  59. linea invno cahe picto occurrit ellipsi, adeoque in P concingit. Ouo crac se.
  60. nO ErIaNgULI pEF AXEM OCCUEEeNS F G, linex in NT: quoniam igicur punctum +
  61. TUMIEUT INECE F _ R, Eper C, recta incelligacur duci, paraIlela CB, cadecc illa CEX ele-
  62. vlera F N, adeoque i punctum incer C_ L est: quia vero F NI, IT L aequidistane mentis.
  63. _e dPFI, TIF ostensa sunc aequaleS, reatxe F P, L N quoque ae quales TUNE: Quare + 17. D
  64. punctum I e G, in plano lic CTK, recta FC in eodem existic plano: quia vero
  65. cundum.
  66. ue LL Ll haclecundum L. L. P. P lineas planum YF. O: Paret IFO esse hyper-
  67. bolam
  68. Sumatur denigue inter C _ F, in CF linea punctum quodcumque P; iunctis-

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 629. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0686?run=74