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Leibniz-Handschriften zur Mathematik LH 35, 12, 1, fol. 170v

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: 0.80.

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

The machine reads it as

  1. a + b XX an hiqque datur summa ? ar+ a fx +b~ XX + f. x aequanda
  2. Y +sx.
  3. quadrato, fiet: XX coco + 2XC0 aSr + aer 1 ergo
  4. aef + b=X + fXX aeqo X coco +2eo a s+ sed nihib hinc
  5. Et X equ l ainque
  6. a +b X + CXX + dX aeqe. quadrato ab a nz + n Z + p Z + 47, crc
  7. fiet: a + bl +m Z +bn ZZ +bp Z + ly + br Z3 + b5 Z etc
  8. sit
  9. c. +2Clm c luzz + rclps + 2cl9 23 tdr 2 tvels Z
  10. temm Et remnZ 2 Cp Z denq t Cmr Z + demsZ
  11. sit formula a + bx + CXX + dX aequanda quadrato fiat X aequ l+ m Y +nVI
  12. eut XX aequ. U+ 2lmv + ilnvV
  13. + mnon +2mno + nu v
  14. et X aequ. 1 + 3Ulv + Elln vv
  15. et fier
  16. a aequ a
  17. + 3lum on + 6lmu v + 3lnev
  18. bx aego bl + b m. B + bn vV
  19. exx aequ ol+ rdm V +2C vV
  20. + m v + 3mn v + 3mn v + n3 p
  21. +emmon + hemae + cnnv
  22. Ax aego dl + 3dulv+ vallavr
  23. =3d lmm. Br + 6d lun v + 3d lni B
  24. paantroo+se
  25. ptapque pron-
  26. pptrpquEpront ipso
  27. 44 vn + 29rv2 + 245V
  28. +dn v3 L dnia v + 3dma ri + dn v
  29. agu quadrno pp Epgo prim psv 2gut ErsV SV
  30. arr+sVs
  31. Habemus aequationes comparatitias septem sedetiam sumt septem litere
  32. qquo 2qre te
  33. pro comparaivne. Sed possumus obtinere literam ad sus unam si efficiamus
  34. ut in ipsa a+ bx + CXX + dx sit uia arbitraria, quod faule est: Imo imulit
  35. quia jam sumis in priore explicatione latet
  36. fet ee +ref +ss aequ. hh.
  37. debet factum eom horum duorum esse quadratus, ut
  38. e+ f aequ h
  39. 1+m +2 Stem. nAp . 2
  40. t_ l + Sa pp- 11.
  41. in 1 - Spp - 11 dabit pp. unde fet: H+ pp - H + 2l Spp - U + 2 pp + pp. 11
  42. fiet denique 4pp. Ergo Sl+ spp = II + St - spp. 11 aequ 2 p.
  43. SX + bX4 CXX + dX + C + X + b XHCXX + d X + e
  44. = X1+ 2X q+ 2X
  45. x +S+t X+rA XD+ SXx = pt + q+ +r X- X ago 2 Sp q er
  46. Sa +bic + cxx +
  47. e
  48. aequ. V. fiet; a +bX + CXX + 2l+ l, aequ vn
  49. a +bXL CXX
  50. Sa+ bx+C seu (B a +bX LCXX + El a + bXL EKX + ll aequ V
  51. An sic. _ - spp - 11 + m squ v. a + b X + CXX
  52. 2p + m aequ v.
  53. S1 - spp. 11
  54. N1- opp. 11
  55. Saatere, aequ Su+aata +
  56. aatex
  57. vago 2 S aarbxr san x
  58. aa +CXX
  59. fer

Cite

Leibniz-Handschriften zur Mathematik LH 35, 12, 1, fol. 170v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068194:0340?run=74