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[Ps. 1], fol. 133

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. 4.71
  2. 1AI
  3. 1600.
  4. A
  5. lumm
  6. ecen
  7. ide ten
  8. 1VY
  9. et2 L. 22 1. 1 2. 0i
  10. ac per consequeno
  11. bbbb
  12. 255.
  13. Dec LbbrrFDe.bDdc Lbbrr.
  14. +bv.
  15. bv
  16. Ouocirca habebimus
  17. bb e
  18. Tsinc mulciplicando per crucem, ut in Fractionibus, d auterendo
  19. utrinque producta aequalia, habebitur
  20. 2ef 7bc5 - 8bb et f 4b3 e3 - 4b3 V eCb+ vC ∞O.
  21. V - 4bD = 6bb b4
  22. Duam aequarionem si ciridamus per ee-Lbe, orietur
  23. 2 et -5b e3 + 3 bb ec -- 3bbve = b3 v∞O:
  24. 2C per conlequens
  25. bv b3
  26. et 5b e3 L3bb ee - L b3 c ∞ b3 v - L 3bb ev. L3 bec v L e3 V.
  27. ac demum 2e+ f - 5b e3 + 3b2 e2 + b3 e
  28. b3 + 3b2 c. + 3be c- L e3 dV.
  29. Vbisi inlocum e substicuatur Y, acque ex hac lumma deinde au-
  30. 2b73 +. y4
  31. teraturlinea AL ∞ y, relinquetur L. ND 63- F 3bby + 3byy f p2
  32. ut supra. Vbi nocandum, lineam hanc curram non aliam esse
  33. quam typerbolam, supra a nobis constructam.
  34. A D B A C L N A MI 75 de 76.
  35. Emonstranda hic est opcratio, quam hxc Geometria nOs
  36. docet, cum radicem incornitam alicujus aequationis multi-
  37. plicare rolumus per certam aliquat QuanCIEATCI aNE numeruIM
  38. COGHIEIIM. PEOPOnaEUE~QuaLIOX 3 CX t a X m b3∞ O, CU-
  39. jus radicem incoenitam x per lineam h mulciplicare oporteat.
  40. Supponatury w xh, et Hiet = ∞ x, ideoque = ∞ X =, nec nOn
  41. 13
  42. ∞x 3. Proinde (i substituamus in xguatione prxecedente lOcOx,
  43. e loco x2, itemque, l0c0 r3, erir sequens xquatio

Cite

[Ps. 1], fol. 133. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175905688X:0155?run=74