Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Ps. 1], fol. 319

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: 0.82.

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The machine reads it as

  1. bbXX
  2. et i
  3. UISCerII
  4. abertet
  5. +d
  6. 244b
  7. COMMENTARLLTA LIDRAMIII. 319
  8. Ouxe loco alterius exempli haberi queune, quorum nos admonet
  9. AuchOr Pa8, 84.
  10. Non distimilis erit quaestio, si datis A B ∞ a de D C D b, quae
  11. raEUF FC ∞ X. Fiet enim aquatio
  12. x + a +
  13. P~X Y 443
  14. 2abb =2 a abB ∞ O. In qua SI EOIIatUK
  15. Secundus terminus, ponendo scilicer Z - a ∞ x, prodibit eequa-
  16. tiOZ + X - bbZZ X = a a bb ∞0, (IrCZ + ∞ bbZ Z L a a b b, cujus
  17. radix estZZ ∞ , bb -L- bV = bb- ] a a, hoc est,
  18. 2 ∞ V : b b - b V 1+ b b + a a, adCOGuC X ∞ = a - ]
  19. V : bb- L b V =bb, ] a a. Sed siquaeratur B C ∞X, erit aequatio
  20. XX∞ bb L b V= bb -= aa cujus radix est N ∞ V : bb - L b V bb L aa
  21. Cujus cum praecedente consensus ex figura perspicitur. Denique
  22. Ei guaratur AD, habebitur a quario X ∞ ∞ = b x - L a a, cujus radix
  23. CAtx ∞ = = b. L V : bb. F a a. Quod similiter Superioris moniti
  24. non inelegans est exemplum.
  25. Elis adde sequentem quaestionem, quam olim ab Arichmerico
  26. Subcilissimo. D. Nicolao FTuberri à Persyn, Parlemen(i, Fautore
  27. meo honorando, Colrendaim aCcepi.
  28. InVenire guatuOF nUeFOS, unitate se invicOM eXCC-
  29. dentes, qui inter se mulciplicati Laciant 100.
  30. Donatur primusx, secundusx L L, Tertius N- F 2, Q quarEIS
  31. X = 3. Fietque aquatio x + - f 6 ∞ 3 - F TF X X - L 6 X ∞ 10O, Vel
  32. ∞ F f 6 ∞ 3 TY ∞ x F 6 ∞ = 200∞ O. CUJMS ULEIUS ECTIMINUS
  33. dividi porest per 1, 2, 4, 5, 293 20, 25, 50, 200. Dirisio vero
  34. Tentata per N B F, vel perx 8 2, vel per x 8 4 ec. non succedie.
  35. Flinc sublato secundo termino, prodibit aequatio Z + 7 -- 2 =Z, Z X
  36. 997630, vel Z4∞2 =2Z - f 99 3, cuiusradix cAZZ 7
  37. V 2OT =LrI, hoc CAt, ZDV V TOT L T2. ACproinde, cum ibi
  38. tollendo secundum cerminum poluerimus X D Z = x =, fieE
  39. ~∞V V 1OT F 1 = = 13. FFIEGUE QUECSIEOFUII HIIIMETOTI, prI-
  40. muIS V Y 101 F 5+ = 1=, secundus V V 101 - = 1= = =, ter-
  41. rius V Y 10T 1= == =, ec quaruS V V TOF f X +-. 1 =. Quod
  42. Facile probari potest.
  43. Eibi nocandum, sicum hujus quaectionis Auchore pro primo
  44. AUIIETO PONAUS F = 25, pro lecundox = =, procerriov. L
  45. P

Cite

[Ps. 1], fol. 319. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175905688X:0341?run=74