Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Ps. 1], fol. 494

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: 0.89.

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

The machine reads it as

  1. 494
  2. POT A N N ES TIUDDENEE EPTST. I.
  3. Superracaneum vero estne dicere, hastres pracedentes Re-
  4. sulas aequationum 6, 5, de 4or dimentionum, (quamvis illae can-
  5. quam exemplum generalis Regulae in medium allatae (InE) se
  6. extendere ad omnes calus: nam cum q denotet quantitatem co-
  7. oniram certiitermini Propolita aequationis, affectam luissixnis
  8. Xc-; manifectum est in Regulis ralorem iplius q cancum (ub-
  9. rogandum esse in locum q; vel li Forre certius hic terminus in x-
  10. quatione deticiat, omnes quanticates perq mulciplicatas, cum
  11. etiam cum lint ∞ o, delendas esse. ita quoque se res habet in r.
  12. Sdc t. Verbi gratia, lihaec aequacio s dimentionu Xs X X f 6 X N
  13. =25 X = 39 ∞0 dirisibilis esser per rationalem duarum dimen-
  14. tionum, in qua nullus terminus deelt; Oportet, cum inhac ae qua-
  15. tione q (IF ∞ 0, r∞6, 5∞ -- 25, t ∞ - 39, loco hujus prox +. 39y8
  16. =ry _C. ∞ 0, Ccribere hanc proX + - 6y7 + 75 7 = 429 y5
  17. - 367 - 600y3 - 4138y7 -36847 -62 1∞ 0. qu d y inve-
  18. nitur ∞ = 2, ideoque W X
  19. 2 Y YY F 2973_C.
  20. Y +593 + 9y D = 3; dc PrO
  21. X X - F y X F W ∞ O, hXCXX = L X =- 3 ∞O, Per qua PiopOlI
  22. ta ae quatio erit dirilibilis. atque ita in reliquis. Adco uc hinc pa-
  23. tedt, licuc etiam in 27mo aliis que Regulis, quomodo omnes calus
  24. aequationum ae qualium dimensionum, sive aliquitermini delint,
  25. sire non, rel quotandem modo signis ] e - effecti lint, (ub una
  26. eademque Regula comprehendi possint, adeo uc sexcenti ejusino-
  27. di calus ad unum retorri de mulei labores rescindi queant. Ouod
  28. Catis superque Regula aquarionum 4 dimentionum, cum omni-
  29. bus calibus, quos aliqui elaborarune, comparata, immen susque
  30. labor, quem illis hoc nesorium peperit, demonstrane; pralerrim
  31. li cademratione omnes calus requationum s ex 6 dimentionum
  32. describere rellent.
  33. Denique nocandum, cum dico, primum inquirendum esse num
  34. aequatio Propolita diridi possic per aliam in qua OIMneS FermINI
  35. non extant, non adeorisideillud sequendum esse; non enim id
  36. necellarium, Sed plerum que breristima ria eAt ad aequationeM
  37. Propolicam reducendam.
  38. L2 L LC1L
  39. Duae modum docet reducendi omnem aquatoie ralio-
  40. natei

Cite

[Ps. 1], fol. 494. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175905688X:0516?run=74