Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Ps. 1], fol. 166

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. 266 FR. Q SCHOOTEN COMM. TNLFB. I.
  2. videlicet ZZ∞ aZ F bb, ec secundam y y ∞ - a y L bb, ex
  3. nulli deceriminationi lunt obnoxix, ee semper per duas radices
  4. explicari pONUnE, unaM veraM e alEeraM FalLAM. VIE SI BOn
  5. tur Z ∞C, (eu Z = 6∞0, de Z ∞ = d, CCu Z. + d ∞ o de multipli-
  6. CCTUIF Z = 6∞ O pet Z = d ∞ O; fCF
  7. 2
  8. c
  9. 2
  10. c
  11. + a L. 6d ∞ 0, Teu
  12. ∞ = Z Fcd. In qua aequatione li Cacuamuss majorem esse
  13. quam d, ica uc excessus sit penesc cum signo -f, at que ( c - d
  14. interpretemur per L a, _. cd per. L bb, habebimus candem
  15. aequationem, quam prius, nimirum Z=∞ a Z F b b. Aded uE per-
  16. Spicuum sic iplam de duabus inaequalibus radicibus esse explica-
  17. bilem, majore rera e minore Falla. AErero si ponamus cmino-
  18. rem quam d, ita ut excestus lic penes d cum ligno , atque
  19. C d INEEFPECLCMUEPCF a, ec f. cd Per - L bb; prodibic
  20. aequatio secunda Tormxe: niITUM, Z3 - aZ. L bb, quipre
  21. quae d duabus ina qualibus radicibus explicatur, quarum minor
  22. est rera, major autem Falsa. Denique Sid consticuatur ip(ic aequa-
  23. lis, destruent se inricem. fce =d, _ cranclcer lecundus ter-
  24. minus aZ. _ erit Aquatio Z: ∞ X F. bb, cujus dux radices, re-
  25. 1a f b d Falla = b, Cunt ae quales.
  26. F quibus omnibus apparet, ad aquationes allatas Geometrice
  27. relolrendas, carum que radices juxta regulas hic traditas commo-
  28. de explicandas, reguiri, ut ultimus terminus delignetur per bb, aut
  29. ad eam formam, licur superius est octenlum, reducatuT.
  30. 501
  31. es
  32. Mt
  33. prelier
  34. certu
  35. apt
  36. tionest
  37. quila
  38. ViBII
  39. ulinq
  40. pliciss
  41. is
  42. Ailsiet
  43. Metsiu
  44. Sii11I.
  45. cieil
  46. Qu. IIIII
  47. enju
  48. abiposse
  49. Pinmu,
  50. possit ext
  51. Pincta ret
  52. munem ex
  53. Lbstestia
  54. MaiuI,
  55. GeD11
  56. punct
  57. 111

Cite

[Ps. 1], fol. 166. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175905688X:0188?run=74