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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 249

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. meter
  2. calerip
  3. cum
  4. int
  5. ExO
  6. eunes
  7. n
  8. CCM
  9. B
  10. Pit
  11. H.
  12. etoc
  13. pest
  14. D
  15. F L. LIP SIS.
  16. DO ad CiF, hoc eAVE DG ad CK, sic G P ad RF. ErgO punCtA DCF TunE
  17. in directums (ed eciam puncta DCO, lune in directum, cum ex Hy porcn DC.O
  18. siclinearecto. Vnaisitur cademque recta TunE DC B, de DCO. Aequi, DC R. bi-
  19. secta est in C, (cum enim ex constr. C+F, F C sinc pacallelae, cric ve D F 2d F C, (c
  20. DC ad C F.) Ergo etiam D C O bilecta est in C. Ouod erac demonstrandum.
  21. P R O P O, S L, F, L. O oV IIL
  22. Aea Ecellip(IS A DC FB, cuius diamerer SIC BHI; OcaInatIm NIO aa
  23. diameu aPPIICATA L PR: cenerum cllipleOS G. DVCTA AUFO CIE
  24. percenerum C, recta AC. C. ordinacim applicaca parallela.
  25. Dico BH, AC diamerros elso coniugatas.
  26. Demonstratio.
  27. Vmacur in AC quoduis punctum MI, per quod duca-
  28. PEUE KD diametro BFI parallela, occurrens ellipli in
  29. punctis D _EK; ex quibus dUCANEUE DFR, RNL.
  30. ipA IR parallele. Ouoniam igicur VR. NEparalle
  31. logrammum est, rectxe DF, RN, adcoque e quadraca
  32. DF, RN aequancur. Duarc cum 2 rectangulum BF II
  33. Cic ad rectangulum B NFT ve quadracum DF ad qua-
  34. dracum RN, rectangula BF PT, BNII eriam lunc X.
  35. qualia, ac proinde, vrostensum in praecedenci, B F X NTII
  36. EquanCUT. TUNE VerO _ B CF, FI C aequales. UrgO e reli-
  37. que FG, N C aquales sIIMC, Sive FN bilecta est in C.
  38. Eroo dRD parallela diamerro BFT bilecacur in MI ab
  39. AC. Smilicer ostendam quasuis alias diameero BF Pa-
  40. rallelas bilecari ab AC. Dugro cum eriam b AB BilCCCF
  41. DE, L, R coceralque omnes quae sune ordinatIm POCEX
  42. ad BHI. _ Parallelae ex hypochehi ipsi AC; Pacec exde.
  43. finicione cBH, AC diametros esse coniugatas.
  44. Corollarium.
  45. Va per cencrum 2d ellipleos axem dacum perpendicularis ducieur, est axis dato
  46. Laxi coniugacus.
  47. Exdilcursuiam allaco Facile sibi lector demonstracionem huius reieliciet.
  48. PROPOSITIO 1X.
  49. Atalic ellipus ciulque diameter BHI.
  50. Oporceat diametro BHI coniugatam diametrum exhibere.
  51. Constructio e demonstratio.
  52. eacur recta aliqua K D parallela det BFI, ee veraque DR, B IL dsuisa bitariaru
  53. in M de C, Per M d C, duCREuT AC
  54. Dico AC, BHI coniugacas cAc diamerrOs.
  55. AC primo quidem reCFaM AC CNCAAIHCCEMIH PACeL CL G. CtiuS. eF B FI diameter
  56. est exhypochelis amba igitur sunt diameeri. Onod aurem sine coniuracx sic osten-
  57. c defin
  58. d0. Ononiam AC diamecer est ex bisecat R D, erir dF D ad A C ordinacim appli- d definit. v.
  59. eata erro d reliquae ipsi RD Pacanera, ctam aa A C ommaum applicatae, hoc ele
  60. Cz diamerro A C bitariam lecabuneut. Lea DR ex Constructione cum libi paralle. c ibid.
  61. IS, Palaela cMad alametrum B fl. ergo diamerer AC bilccac diamerro BII p a-
  62. Callelas. Ducancur deinde DP, parallela diamecro, AC. es L _, Parallelar eAta D H.
  63. Facal.

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 249. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0306?run=74