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Leibniz-Handschriften zur Mathematik LH 35, 3 B 11, fol. 22r

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

One image of two folio pages side by side, registered by the library under both labels (also fol. 26v); this page is its right half.

The machine reads it as

  1. utem dyadica ad diocsantea applicari posse
  2. ita ut non sit opus additione dyadicem, et tamen conscrvetur commo
  3. divas non ascendentium ad potentias incognitarum
  4. duo
  5. Ex. gi. quaeruntur numeri, ita ut ducrur quorum
  6. summa quadratus, et summa quadralorum sit quadrato quadratus, sit
  7. sint numeri a +bX + CXX + dX3, etc et la mX LNXX + pX eerC
  8. ubi ponatur ex x esse 2, et ipsi a, b, etc; vel 1, m, etc non sint nisi 0, vel
  9. sit ursus sed non assumatur radix quadraesi quaesiti, vel quadrato quadrati
  10. quaesiti, eam ejus e nam si eorm earum radicum potentias vellemus coinciden
  11. tiare summis illis, opus esset denire ad dyadicas additiones. Itaque
  12. ejus loco extrahamus radices quadraticam, vel quadrato quadraticam exsummis
  13. adhibendo Comonem. et assurgendo donec vel res succedat, vel appareat non
  14. posse obtinem successum. Ex. gr. ex
  15. a + bx + CXX + BX + etC
  16. debet extrahi quadratus est et ex aa + 2abX + 2aCXX + 2a d X + 2a CX et
  17. + bb XX +2bc X3 + 2bd X et
  18. +1.CCX esc
  19. U + idmX+ ElpXrt 2l∞ X + 2lq X ex
  20. mmX +2mnX 2mpX es
  21. Ex hit extra unobique eptrarendo radicem, inbebimus ex Canonem procedendum est donec
  22. del oppareat successus, vel eju impossibilitas. Ita non aliae occurrunt
  23. diffimulatur initro incognitae quam ictitio assumtae.
  24. Nota quilibet assuntus cum altero assumatur aeque altus nam cum
  25. alternter est minus altus ultimae notae sunt 0. Materea quadcatus
  26. pona noni potest assurgere ad duplam altitudinem; etsi revera in
  27. utrum
  28. dyadicis assurgat ad amplios quia hae non curamus an coefficientes
  29. prodeuntes sint notae dyadicae vel non
  30. 10+1X FM XX I 1BN + 1X 4X +. 6X
  31. Y(10. 10) = 10
  32. 1044 10. 10XX + 1aX + 12 aa Y 10X +
  33. 2.10
  34. =1onxX (2. 10X) (+ 1 a, fiet 12= 11. 1
  35. 2.10
  36. 11. 11 ac
  37. 4. 10.10
  38. 41010
  39. 410. 10X+ 1 a x + n aaxX + 13 aX + 1t aa 7 10X + n ax +
  40. (2. 10X) = W H aa xY
  41. 4. 10.10
  42. 2. 10 XX + 11. a)
  43. =qu si 10. 12)
  44. 2.10
  45. L fint M = q
  46. 8. 10
  47. =4. 10. 12
  48. + 1.
  49. 4. 10. 10. 12- 11 laa
  50. 8. 10. 10
  51. 4. 10. 12 = 11. n
  52. 54. 101C
  53. 4. 15. 1 _-n. 11
  54. 8. 10

Cite

Leibniz-Handschriften zur Mathematik LH 35, 3 B 11, fol. 22r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068261:0043?run=74