Leibniz Legible

Machine transcription of the Leibniz Nachlass

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Ps. 2, fol. 148

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: 0.78.

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

The machine reads it as

  1. 148
  2. D E L E M L Y T B U S
  3. ma e majori ex secunda, esset reliqua lx aut aqualis, auemajor
  4. quam xx. Quod torer ablurdum, quandoquidem x demonstro-
  5. ea est major quam l. Ouare trabemus hanc a quationem vx D lX
  6. L I M. + BB pp.
  7. x
  8. Z. quae erit realis, cricque X D; l. L
  9. V =II. L mm Lnn. L pp. Manifectum vero cAt, quod : II. L mm
  10. L nB. L pP majus est qua = lt+ 1B M + B n pB - Z7. Er-
  11. 50 : I. F V : II. Lmm L nn. L pP major erit quam v, ideoque
  12. VII. Lmm. L nn L pD mulco magis ajor erIE quaim X; IEL UE
  13. radix propositxe aequationis necessario sIc inter V II. F. mm 8
  14. 1.I. + V =II. + WW. + BB L pB.
  15. Prop. 22. Xt = IX 3 - M M X X F B3X = p+ ∞O.
  16. Pertranspolicionem est xt - l ∞ 2 - - m M ~ X 3 p+ =- n3 X. IIN-
  17. de, (I Fuerit x + = lX3 = M M X X ∞ O, hoc est, omnibus per xx
  18. Sirilis, Xx lX = mm ∞ O, erit quoque pr = n3 x ∞ 0. HIOC
  19. eAt, Cituerit X X ∞ lX- f m m, vel x ∞ ; l-+. V = II. L mm; erie de
  20. pt ∞n: X, velx ∞ ,. Ouare constat, AFuerit = ∞ : I- L V = II L MM,
  21. radicem aequacionis proposiex tore aequalem singulis termino
  22. rum equalium X ZI F V : II. Fmm. Ouodtuerie ~ + ma-
  23. jus quam lx3 Lmmxx hoc elt, xx majus quam lX + mm; erit
  24. p
  25. pr eriam majus quam n3 x, hoc est, majus quam x. Jam exi-
  26. Rence ax majori quam lX - mm, erie x x ∞ l x -( min plus ali-
  27. qua quancicare. Ouae quidem quancitas, cciamsi sic incoenica,
  28. Arocecur ZZ: habebitur xx ∞ lx f. mm. f. ZZ,. ec. X ∞ : l.
  29. V = Ib. + m m. t. 22. cricque x major quam Ll. L V = II. 1. mm.
  30. V =II Lmm. Ouod(iFuerit xr minus quam l x3- F. mmX N, hoc
  31. M, x. x minus quam lx. m m; erie ee pt minus quamn. x, hoc
  32. ost, xmajor quam?. Fsinc existence xx minori quain lv.-f. mm.
  33. E

Cite

Ps. 2, fol. 148. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175906937X:0172?run=74