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Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 109v

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: 0.76.

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. 110r); this page is its left half.

The machine reads it as

  1. Videamus an aequatio cgngoratun ad subilam reduci possit, etiam non sublato termino secundo
  2. X + PN, 1 aqX 1 atr + aspo sive. b X X C B.
  3. sive a X pX + aqX + aK+ ) B X 4 2bc ac
  4. 2bca.. +at2
  5. Saerv X + adX + ae, L
  6. B2 A 12Sm ad X +nmaC X
  7. +ad.. +2a de X + a e2
  8. conferando: erit de ap. et C7 ar. ego ess ar s. et ep Lra Ar as. sucl bp Nsap ar tai
  9. 2V.
  10. re
  11. ap
  12. ac
  13. ap
  14. tanss sive.
  15. 4paaqe + 4ap2 bc (4 ara +4 a2 rb) at +2ab bt 3, + p’a
  16. p
  17. scubatur
  18. ubi et obiter dicam si fier posset: gp a +b2. tue PB 1V, fer: ag + 2bc p 2gr + + ab, sive.
  19. r-a es O
  20. Jum in priore ipsius b valore explundo p. fer nb) a sa rasb + a e +a eb- a rg
  21. adeoque bp, a sa + a 3 a- atrg
  22. rg - a) = aC B
  23. a. Ergo b + a pjo. ergo et ppo. Quod impossibile
  24. st, nisi b. et a prantur infuncte parrae. sed non inde conchidenda est problematis impossibilitas
  25. n
  26. quia non potest tantum in celligi aequationem asa +aca rga H0. dividi posse
  27. per a + a=arg et ita ficri a +bpo sed etiam
  28. S+aC - a r9 p0. et pro g. tubsti
  29. unam: as + c = r po. alteram alterare notatom signo quae huc translatus dacis
  30. 17
  31. a b + a + 4a497 + 8bcg (-89Y), sive C⊓ a b + at 4 m4a q9 +(89 1) siren a - a 3
  32. et e ab + rabi a + a a
  33. 64b
  34. b7
  35. -4ac
  36. (5gr)
  37. 4a +869t
  38. (- as
  39. Resoluatur haec aequatro in duas, quoniam duae sunt arbitrariae, g. et. b. et fiet
  40. a 2b +a 4 gG2 + 4a9
  41. +qaerqb aegal sB.
  42. iam sp) Alp. et Y, P +al
  43. tuc H5+ la + 16. ru 94296 29
  44. ag
  45. et latg+ Wbag , q a +qga ars seto
  46. quam duvidendo per a 4b. fiet:
  47. aq Y9 +29gal + a
  48. ad adso
  49. ag
  50. 3a449arqb gat
  51. -2aqut Gb rgal
  52. qu 3aglage vqu laque +gla9 2q a a + 9362V 4gal q B 4a24gal2 Eiqu
  53. egat
  54. +c
  55. Ep ut 1a qlalus +gla qat sed ita hud dubie assurgitur ad cubum Rectius ergo Egat
  56. aet
  57. aequationem illam unicam non discerpemus in duas, sed reeinquemus, et fiet reducendo
  58. 167 12)4 + a +b24aq
  59. .
  60. arbi Ba qV tiat baiggal +ga 64bg - b6 4bg ars
  61. +89a +896 + 8gal I
  62. si ponamus rpo. fiet a+b, ( a + a ab a g (4a9 ) - 164b293a + b, et quoniam 91 -4a
  63. f: dividi poterunt omnia per a +b, B. et fier;
  64. H 16ab a rb. 3, et feiet ) a - 4a9 d4
  65. intractatitis 6414 a 2 132 b a + 64 ab + b:
  66. Qui calculus si verus esset semper posset reduci aequatio lubita ad aliam alteius forimae Qu
  67. tas in vinculo semper erit affirmativa. Eandem ob causam etiam valor ipsius c fit semper neressurtu
  68. fet attimatroque quia poscimus ro et vonenti siguum ipsius S. dexmet a nobis quem admlum e signum
  69. ipsius l.
  70. sit arbitraria:

Cite

Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 109v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068201:0218?run=74