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Leibniz-Handschriften zur Mathematik LH 35, 12, 2, fol. 139v

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: 0.85.

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. 140r); this page is its left half.

The machine reads it as

  1. Ubi est enim s Y secundus ternicus hius aequations ordnate secundum B. Ego AX. = v +8,
  2. Hinc ergo V 1 8+ et X et Y8 - px +a et vE ∞ X3 + q L Y et ( NLYX + 5 YVC
  3. Hancaequationem dividamus per vx =0, a quid radies, quorum una X, setegatirsae
  4. vx
  5. fiet D + XV + AVVL 3Y + X =0 Hujus aequationis radices sunt v, 8, V, 2, eadem qua , =
  6. que +gXV tgXX
  7. quarum comma seu = +x et vB x rG t vi XgX+ Y,
  8. + Yv+rX ed dem requa erxis voro
  9. a X, 5x(I) L SXX (X. qu ) SX (X 12Aqu 9q) FCX (x + quXa 15) 5(XKIZ, r HEY)
  10. Hinc patet quicquid est rationale in v, non latereta esse - 5qr, et prieterea rationale quod latet in
  11. L.H sueasusus X 15 5 5+5))C seu in a x cum ergo rationale in X et (ob p = 0)
  12. sit quantitati rationali - 5gr + st et idem sit = rationali in xs unico una cum rationali
  13. in B3. Et rationale in v sit rationale in AX - SqY. Fiet - 59r+ gt = rational. in X + 4(pational. 1. X ) - 59Y
  14. Ergo sit re 5 pational. in p5) = 5t. Ergo tander rational. in XS = t. Sed rationale in X3 est =
  15. Nunc videamus an etiam investigare licent valorem ipsius ln. is autem habetur invento
  16. Ergo habemstardem 15 + mSt nE + BS = F
  17. X vel conflato et P et 1 ab datam jam l’nam qu..) l +. 2l m= t
  18. s Hujus aequationis radices sunt priores dennto X, nempe E, X, =, 3c. Sed litera X quae
  19. hanc aequationem ingreditur revera est - X. Nam alioqui posito v, in aeq. v.. esse habere radices
  20. priores, producitur ex V +X, V+ E, X+X, ex. in se imvicem ductis
  21. in Pseu

Cite

Leibniz-Handschriften zur Mathematik LH 35, 12, 2, fol. 139v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068195:0278?run=74