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Leibniz-Handschriften zur Philosophie LH 4, 5, 10, fol. 72v

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: 0.75.

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

One image of two folio pages side by side, registered by the library under both labels (also fol. 73r); this page is its left half.

The machine reads it as

  1. Sed antequam ut ipsas quo oeum sint literae indeterminatae
  2. quinque nempe. β. C. V d. e.g. aequationes autem datae tantum
  3. si
  4. quatuor, restat ivenienda quinta, investigando latus rectum
  5. et transversum sectionis conicae data, quae locus est aequationis
  6. seta
  7. hiujus
  8. X, d X
  9. +YPV teY +rc.
  10. quod ut obtineamus, efficiendum est, ut non nisi anae incognitaum
  11. simplex, simplici radicum 1v. g. V, resed,
  12. lea dC, restet, planum
  13. faciens cum aliqua cognita alterX, seu terminus dX, evanescat.
  14. s
  15. ponamus nempe X si v - d. eritque D ( dY +d
  16. d
  17. GtCC.
  18. Jam efficiendum quaque est, ut tollatur terminus cognitus, exee
  19. sive ++Y
  20. V + eY +rc ( v2
  21. d
  22. am iut tollamus terminum _cognitum +re -F ponamus
  23. y ( W + n., fietque aequatio + ZW + 2r We + n + e + e
  24. + rC - c
  25. v
  26. 4 F
  27. -
  28. va
  29. Aeris) quare ut , + es, + YC - d Se mutuo
  30. destruant, ponemus M + et 11) - rC + d, unde quis esse qualis ipsa
  31. ips quae aequatio exhibet ipsius (n quantitatem, atque ita fiet.
  32. +
  33. EFe WV
  34. +e
  35. + = 1 ~
  36. v2.
  37. quae est ad axem sectionis conicae reniversalis,itant labus
  38. rectum sit 27n+ e n latus transversum lateris recti
  39. ad transversum ratio 2. Quae cum in data sectione Conica jam
  40. tum habeantur sitque latus rectum 2a, ratio recti ad transversum a
  41. A. ideo erit Y , q ejus enim aequatio est
  42. ue
  43. 2a W)n = a
  44. ideo erit Ceg.da
  45. 2
  46. vo
  47. Ateg. 8
  48. (unde in Parabola
  49. erit er2a:)
  50. ioa X et 2a n 4e (, 2a.
  51. F di nec q nod mnco
  52. 1
  53. E
  54. et pro e substituto ejus vasore ex aeq. 6 siet 24 ( - xC+ d sive
  55. si +2a 124 e = XC + d2
  56. ja
  57. 4
  58. 12a
  59. F)Dalo ergo vacore ipsius
  60. en datur et valor ipsius ipsius e. Et explicatis rC, et d per
  61. aequationes 2 et 4 feti. Aag. Ego em p qd et
  62. et
  63. q eq
  64. 2a
  65. Y1 4 vi + erqu quibus in ceq. 6 substitutis
  66. s
  67. fiet: Aaque ad
  68. explicatis +I
  69. a
  70. 442
  71. + equ Mage 2ae 4 sive C et d.
  72. 12k
  73. 8941
  74. 4a a+
  75. ua
  76. 891
  77. t
  78. Hfet potest poni ria
  79. ac qre a
  80. laq
  81. 2x
  82. eq
  83. 2a
  84. nF

Cite

Leibniz-Handschriften zur Philosophie LH 4, 5, 10, fol. 72v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00069349:0144?run=74