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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 436

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. 2 47. bu215.
  2. L.X 17.
  3. aiu
  4. 5 47. haius.
  5. ibia
  6. i1
  7. EEX 67
  8. BFt el
  9. entis.
  10. PNA R A B.C L. A
  11. siigoHBM BEAIBCESeL eiI A L
  12. 150
  13. DS. Demonstratio.
  14. H 72. hrvicos.
  15. DEcta FIF secet DD lineam in PI, de
  16. AC In I. ve BEl A rectangulum
  17. ad rectangatum BlA a licllL. linea
  18. CA ad linea I P,, id clt F C,; de ve
  19. BND rectangulum ad reccangulum
  20. cBOD, (ICK N ad P C: CA auTCBH A
  21. rectansulum adrectangulum BF A, V
  22. BND rectangulum ad rectangulum
  23. BGD; igitur ve ITL ad R C, SIC RV
  24. ad FG: ad eoque HL, K N aequales
  25. Tune linex; ex dempra communi KL,
  26. manec TT Kae qualis PPV. limilirer octé.
  27. dicur TMT linea aequalis linex FTL: quare VEFTMI ad ALT, SiC HIM CA adTTL: Sed ve
  28. TTM ad AIEsC d A I es ad TC, Id CH A FT ad FTB; IOIEE VE FLMT adETL, SIC AH
  29. 2dFTB, id c est FIL. adI. H idet FlL. adHR. proporcionales isicur Cunc HIH. HI.
  30. PR OPOSTTIO, CLXXI
  31. DArabolam ABC cuius dialEcer AD contingae in A linea A F, de-
  32. missaqs ex L, diametro F. C, describatuE per A de C parabOla AFC
  33. cujus diaCTeFSIE A F. ec Concingens AD: dein linea ducatuF G HLPaFal.
  34. lela AP, SCCanS AF C Parabolam in F, de AC. sineam in l puncto; per
  35. quod diamecer ponacur lBIE, iunsancurque BF, IIKL. Nl RiC
  36. 15: 1 2 1 11 8.
  37. Demonstratto.
  38. 3
  39. 1tccilo (1
  40. c
  41. 1 St eit d Et
  42. DOnacur ex C ordinarim ad diametrumi ADlinea CD.
  43. ratiO RB ad F C duplicaca Fest racionis FTad FC:
  44. similicer ratio FIF ad C D, duplicaca cMtrationis FII~d
  45. CD, id est AR ad AF, id est RT ad F C; iGIEUE ve
  46. RB ad F C, (O TIE ad CD, _E VERB adRI, SiC TTFi
  47. F
  48. ad HL. aequidiltancipicur PF B, H P linex. Quod erde
  49. demonstrandum.
  50. PR OPOSIEIO GLZXII.
  51. Arabolam AB C cuius diameter AB, Con.
  52. cinsar in A linea AF, demistaq; diamerio
  53. FB, qua ABC. parabolae occurrat in B, pona.
  54. cur ex B ordinatim linca BF: descriveaque per
  55. A _ B parab0I2 AG B cuiuS dIAILCEEK A. FB 8
  56. Concingens AD, ducatur ex A linca NO oc.
  57. currens AC. B parabolX, ec lineis BF, DFB 1
  58. C, FI, e 1.
  59. d6191
  60. ceri euintogmo
  61. DicoA C, AFI, AP, AC lineas esse continue
  62. proporrionales.
  63. Demonstratio.
  64. 12
  65. 11 313, 107 49hIIY
  66. roniam F B aequidistat concingenei AD) eC PB.
  67. Ldiamerro AF, recta AC h A FL, AYcontinux lune
  68. DEOPOT.
  69. FIM. Ouod tuic demonstrandum.
  70. oBF, Ak lincas aequidictare.
  71. e e eti ti t s t e pei t u e e te t te t pat se et t e e ee t ta e e ete te t st te e est t tat s te 1e ste e e s e e e s i e t t t.

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 436. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0493?run=74