Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Ps. 1], fol. 487

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

The machine reads it as

  1. BasIOnEH
  2. quae di
  3. O
  4. a2
  5. DE RLEDUCTTONE AEOUATIONUM. 487
  6. plicatione Propolica posset produci. Zcid. Polt haec
  7. transmuco Propolicam aequationem in aliam, cujus in-
  8. coonita quanticas delignet quantitatem 2di Termini,
  9. unius hrarum duarum aequationum, quae. (li inaequa-
  10. lium dimentionum fuerine,) pauciores dimentiones
  11. habeat. 4o. Postremo inquiro num inventa aequatio
  12. dirilibilis sic per incognicam quantitatem L vel - ali-
  13. quo dirilore ultimi lui Termini. ec.
  14. Sumamus, rerbi gratia, hanc aequationem c dimentionum,
  15. 6X - gX = - Y∞ 3(X X L FX V∞ O,
  16. in qua q delignet quantitarem cognitam terrii termini luis signis
  17. + _ = adfectam; r quarti; squinei; t sexti; e v ipsum ulti-
  18. mum terminum: Et quam suppono indirisibilem per aliam a-
  19. quationem, in qua unus aut plures Termini deticiunt, ut _ PCV X
  20. L vel - aliquo dirilore ultimi Termini.
  21. Primo itaque inquiro uerum ipsa dirisibilis sit per aequatio
  22. nem 2 dimentionum, in qua omnes termini extant, hoc pacto:
  23. X + - y ∞3- Z X X - R ∞ 1
  24. X X Y ∞ W
  25. DO
  26. ~O
  27. 06 - y ∞5- Z ∞ 4 R ∞ 3- l X ∞
  28. + y
  29. yy
  30. +)
  31. + pk + yLX
  32. LW - By + NZ + WR t W B
  33. ∞6 X q X + Y ∞3 f s X X F X V ∞O.
  34. Undehaes aequationes retuleant
  35. Tma. 2
  36. yy+ WV ∞4
  37. 282. B. L yZ: Wy ∞Y
  38. 3tia. l. + yk.- + W Z ∞S
  39. qca yI. L WR
  40. 512. WI
  41. ∞D
  42. DV.
  43. Per man fiC Z ∞ g. F py W, qui ralor si in locum iptius Z in
  44. reliquis aequationibus subrosetur, habebitur
  45. 2202d a. R- 9y. (y3 = 2 W y ∞Y
  46. 3cia. 1 + y. L qut gy w W W ∞s
  47. Aca. yl. W R ∞ F
  48. sca. Wb DV.
  49. PCB

Cite

[Ps. 1], fol. 487. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175905688X:0509?run=74