Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Ps. 1], fol. 295

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: 0.81.

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

The machine reads it as

  1. 140
  2. eujus
  3. alic AB
  4. lI
  5. _; AM
  6. BCOI
  7. uS. Quade
  8. se habor
  9. lidutano
  10. u
  11. evectert
  12. DOret,
  13. erta lunI
  14. derdiete
  15. ubiind
  16. le exipla
  17. nplo du
  18. oris pele
  19. 0000
  20. 00
  21. CORTAFENTARETRTD BEBEUHHIL.
  22. 295
  23. eR hac aequarione, irethodon Victa tradica in eractaeu de Nu-
  24. merola Poceltatum relolutione, inrenietur Z Iaj Or quam 15052
  25. _minor quam 15053. Ouibus dirils per 1000 (quia praeceden-
  26. eisradicem mulciplicarimus per 2000), herr major quam 15, 6
  27. de minor quam 15,558. 2dco ut differentia inter hanc veramque
  28. inrentam d veram millesima parte umicatis inor (ic. Quod erae
  29. inreniendum. Porro quoniain a quatio propolica y 3 ∞ 200y p
  30. OD duas adhuc admiEc Falsas radices, quae Similicer sunc irratio-
  31. nales, quiaipsa per v. L vel-nutlo rumero ultimum terminm
  32. dividence diridi porest, possine ex eddem ratione inveniri, mu
  33. catoraneum ono in Ocaruni equidem major excedee
  34. 13,385; _ minor deticiet 2 2 53 componentes simul veraim in-
  35. Ventam 15,25. Cacerum, sicur aequaciones ope mulciplicationis
  36. a tractionibus liberantur, acque ad Faciliores reducuntur, ita quo-
  37. que interduin licer iplas Beheticio divisionis, quando cam proli-
  38. Kosnumeros continene; ue earum resolucionon hisi operolioreim
  39. industritur requirae, in Paciliores etansmutare. IIc ( Fuerie re qua-
  40. tiO x ∞ F. f203125 ~ F 23.437500, e ejusloco alia delideretur,
  41. quae minoribusnumeris exprimatur, diridenda est ip la por nume-
  42. r05 proportionales Y. 125, 25625, 2953125,
  43. hoc pacto: N 3 8 O _ = 203F25. x = 23437500 30,
  44. 1es 3e . BR _X, KF arrer L. 2 5~,. 13F5625(3cVer. 1495, 3.F. 2.5 ur ua
  45. e prodibit aequatio 3 8 oyy 139 F + 2005 vel y3 ∞ X +Z y
  46. F +2 cujus radices lune 4, 3, 8 L, quibus per 225 inul
  47. ciplicatis (quoniam prioris radices per r25 dirilunus) exlurgent
  48. radicesprioris + 500, 3753 d n 125.
  49. Ibi porro notandum, quod spostquan aequatio quaelibet a
  50. tractionibus aut surdis numeris est liberata, atque in faciliorem
  51. eranmutata, herinon possie; uculla ex hujus radicibus; sire fal-
  52. Cis live veris, Cenumerus aliquis tractus. Ouemadmodum Facile
  53. ex 7no Flementorum libro demonstrari potest. Aded ut, hilla
  54. deinde sicur pag: 7q est octensum diridi nequeat, concedendum
  55. sic, nullam exradicibus sive Fallis sire reris pumero explicari pot
  56. se led omnes esse irrarionales.
  57. 5 Qu 2 ) L sua al 2. 3
  58. Ouibus ita constituris, ut pateat quo pacto hae radices lurdis
  59. numeris sint exprimendae, vilum tuit ea, quae ab ingeniosistimo
  60. FTuddenionostro circalxc excositata sunt, in medium adducere.
  61. Tinc ueinrellisetur quo pacto, exempli causa, radices re qua
  62. tionis

Cite

[Ps. 1], fol. 295. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175905688X:0317?run=74