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Leibniz-Handschriften zur Mathematik LH 35, 8, 30, fol. 21r

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: 0.94.

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

One image of two folio pages side by side, registered by the library under both labels (also fol. 22v); this page is its right half.

The machine reads it as

  1. est nnst soregrssicit sendem esiot
  2. Methodus generalis investigandi, an aliqua formula rationalis
  3. integra, secundum literam quandam ordinata, sit divisibilis per formulam
  4. rationalem integram ejusdem litere.
  5. Methodus generalis investigandi divisores
  6. Formularum atid rationalium integrarum
  7. ex datis divisoribus numerorum rationalium integrorum
  8. Formula vel cequatio ita transformetur, ut omnes ejus radices fiant
  9. falsae, adeoque omnes termini sint afsecti signo + quod praestare jam quodam
  10. modo docuit Cartesius.) salis sit quaecunque, O = p + qx + rxX + 5X +
  11. txF F VXS + WX + etc. Averitur, an et quae eum dividat, velut
  12. bFCX + dXX F ex3 + etc = D. Erit b unus ex divisoribus ipsius p
  13. et, si W x6 et ex3 sint termini sumni; erit e unus ex divisoribus ipsius
  14. W. quaeruntur b, c, d, C
  15. Prox sumatur numerus h, integer affirmativus rationalio) major qua
  16. vis harum quaesitarum b, c, d, e, quod fiet, sismajor ssit) quavis harum datarum p
  17. dl
  18. a X, Sit, v, i, etc. Utiliter autem ad calculi compendium assumetur ali–
  19. guis quid ex istis 10, 100, 1000, 10001, 100000, vel 11, 101, 1001, 10001, 100001, etc.
  20. Hoc autem numero hsubstituto in formula c, resultabit ex tota formula nu
  21. merus m. Idem numerus hsubstituatur in 3, prodibit n. Qvod si jam
  22. dividi potest c per D, oportet, ut etiam dividi possit in pern, seu ut p+
  23. qh + rhh + 5h3 + th + + vh5 + n hS etc = m, dividi possit per b + ch
  24. + dhh F eh3 F etc. = n.
  25. Exhibeantur omnes divisores ipsius n p: quaeritur, quis ex ipsis sit n
  26. desideratus) Dividatur quaelibet eorum per h, et notetur residuus primus,

Cite

Leibniz-Handschriften zur Mathematik LH 35, 8, 30, fol. 21r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068124:0041?run=73