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Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 52v

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: 0.79.

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. 53r); this page is its left half.

The machine reads it as

  1. Quaeritur Y(yy + ab, yy - ab). sit y = 180 + s8D fiet gy -Q(O) + 28 103
  2. et yy tab in gg ab, dabit yt - aabb = 98, e qu (3+ B) + 4(0) 10D, er qui valor
  3. 37
  4. divisusper 84 identificandus. ost. Qad esto a bl 100 + 4 (4D - 4990 + 2 qr e 03
  5. erit = 2 + D: qr sit O+ D = x, fiet X X + gOD = (9 4, 2 1 ) ra2,
  6. non
  7. sit O = 10X + na et D = 20X F X1 a F qui a ergo O+ D = X fiet (10 +20) X + (11+ 21) a = X Ergo
  8. Ergo 10+20 =1 = 00 et 20 = 00= 10 et 1+ 21 =0 itaque fit 20 = 09 -10 et 21 = - 11 et fit D (00 - 10) X - 11a
  9. et 0D = 10(00- 10) XX + (00 -10) 11 a X - 11 M aa et fiet 100.00 XX Huo 10)ua X - u. Uaa _ =. (9HHY1) X
  10. fiet H = b f- 1: a
  11. 1 16. 11 a X
  12. 9980, 204 10XX + 2agq 11 aX
  13. rigos.
  14. rarp (o tesx D rarr uax
  15. ex X
  16. E
  17. + 4. 10 (00. 10) 10 ua.. qu bb
  18. 29300. 10X X + 24) 1 a X + 0
  19. 217 100 (0) eo sex 2rt 1 ax
  20. fiet 411. 11 = - bb seu 11 = ib f- 1
  21. Ex X fiet 200 = 4. 10, 97 L 49 rr = (compendio) 00 at, fiet 10 2 10 = 00, 29r - at, : 4gY, seu a0, 29u. at - 4. 10gr
  22. _ guo + rIvE in SaO +a D sit ge tap + rtaq +Laov
  23. ritaC DG
  24. v+ b, in v+c = qu D +DL a + 43 et) 10D vyto a (90 1 4. 7 = q0 p2qr. SOV
  25. Y. + t0D in . + 1034
  26. =.-. rey vqu l. tc7
  27. Sed rursus 10.10 = 00. 00, 4qqur -4 grat. + aa H, : 1699rr, seu 10. 10 - 00. 00, (9grr 493Y + 49r 4 g L r= 299rr : 1699 rY
  28. sit _(B, _ vtb, BHC) extra sit _ quadratum a + ta D
  29. et vtb, vtc, quadhatum a 1. t +OD de trO +1gD
  30. lo = 1 a0 + taD = et ax = a0+ a + 2aVO
  31. 26t9)
  32. Ex superest ex X, 00, 00 gr + 4. 00. 19 - 4. 10.18 - 2. 00 at + 2 ∞BIY, seu 00. 00 + 2, 00 10 (29r - at) - 4. 10. 18, = 2 c 1
  33. = C y aIg, xx+ 1 aX) + 00 - 19) XX - 1aX)
  34. Error in Calculo, qui a oblitus
  35. sum 84 ducere in aab
  36. quod ductudum in . + sit r= q et destaratur
  37. y = rac + da D
  38. (b+9)O+D
  39. 0D
  40. seu oogr 00. 00gr + (8) 10. 10 ( 4. 10.16) = 2. 00. 00 rr, et fit 2 = 00 Hrr qu) seu _ 10.10 = 5 00, 00 (err - 91). tqr
  41. et fiet 39r3- 49qer = 249 1r - 4 9dY 4 4qV x g + v, seu 4+r-= 124r + 4qY + 6qqrr =0
  42. si ergo g =H L LlexX + Nax) + L2a Hec ncaXX -1 ax)
  43. quao
  44. imo res
  45. aqr
  46. 009)

Cite

Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 52v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068201:0104?run=74