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Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 436v

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: 0.81.

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. 437r); this page is its left half.

The machine reads it as

  1. 2
  2. cd - C3 = C d - bd 2. se cl: c - 1 = d: = b: c. d:c
  3. seu scrbendo d: c = D et c : b =f fiet 9 - 1 = 99 - 99:f seu f-
  4. seu f9 - f = f9g = 99. seu f - gre bg 4 99: g. g9 -1
  5. i s radius seu diameter 2. cujus quadr. 4. eut
  6. dnnidium 2, seu inscriplum cujus latus AB sit f2.
  7. jam CD AD eseu = cd in 2 - cd. = 2cD - cD
  8. seu cD = 2cd +1 = 1 - = L. Ergo 2D , - cd = s
  9. seu CD = 1 - 82; et CD = . - 2s: + 2. se
  10. 3: 2 = 12. cui adde AD2 seu L fit 2 - s2 = AC
  11. seu AC = 12 - s2. lurus dimidium est r. si
  12. estod ut probemus ad regulam annba +cc= +nn gc.
  13. n=
  14. si
  15. c
  16. 252 -I2- 92 siet
  17. _852 + 8 - +s2 = 1652 - t2
  18. se
  19. D12 +2C12) = 4 52 - si: seu 2 + 4 s2+ 4 -B 1b52, + 16. 16. 44 (.2 + s2) + 2 (2)) seu restat 4 = 1 + 2t
  20. ubi n n = 1 b = 2 C = 8 - 4 12 g fie
  21. 4. 2. 4 + 16. 4 - 4s2 +2 = ∞64 4. 2, 8- qui
  22. seu b 64) 64 52 + 32 = (64) - 32 s2
  23. 4. 4. 2 + 6 16 4 - 4 s2 +2 = 4. 4. 8 - + s2
  24. e 32 + 64 - 64 52 +32 = 128 - 64 s2
  25. pergamus: (jam AF = S2 - 12 et EF = et PF =
  26. 1CQ Ap = AF = 1 - 2 2 + 12. seu = + = s2 et PF L (2+ s
  27. fiet EF = 1 - 2+ Si et EF = 1 - 12 + s2 + = + s2
  28. addatur ad AFZ + - 1 12, fiet AE = 2 - (2 + 52
  29. seu AE = 12 - 52+52. erat Ergo
  30. probatio
  31. B = si et AC = 52 = 12 et AE = s2 - 12+12
  32. sit. et applicanded ad aequaoem 4nncq+ dd = 4nngd.
  33. sit n = 2 et c = 4 8 - 42 et d = 22 - 1652+ V
  34. 1. 4. 4. 1. 4. 4. = 4. 4. 4. 4. 4. 52 + 12 Recte
  35. 4t2 - 52+s2. vr - 12+52+2 1b2 Suntn
  36. 32 - 16 52+ si
  37. 128-6452+ S2Fo2 512 - 236 sutsitsum
  38. Etm, AA 22: nn +2 = enn =e: annt]. seu fier 3
  39. 2nn-L 1bnn 1 (32n = 64n - 16 enn + ex. Ergo ibnn
  40. de seu 32 - 16 nn d +32n2-64nt 1b e nn tee seu vbenn = 1onnd + ce
  41. 4. 4. 4. 8 = 4. 4. 4. 4N + 16.6 4 - 452+52 + 2+ fr = 4. 44. 32= 4. 4. +. 16. 12 + 52
  42. seu (4. 4. 4. D 2 - 4. 4. 4. 4 12)+ (4. 4. 4. 4) 4 (- 4. 4. 4. 4. 4 52 + 1D 44. 4. 4. D2
  43. +. 4. 4. 4. 12)
  44. at jam

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 436v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068196:0868?run=74