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Leibniz-Handschriften zur Mathematik LH 35, 12, 1, fol. 21r

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: 0.82.

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. 22v); this page is its right half.

The machine reads it as

  1. Oclobi 1e8
  2. Curva Conica per Rationalem. Tandem
  3. sub sime in pagina dequentis.
  4. Constat ex caltulis alibi initis si inveniri possit summa
  5. aa + E XX
  6. vel Hyperbolici. loco ex
  7. haberi dimensionem arcus Elliptici
  8. Loco dx s taanae
  9. p fractionis numeratorem et nominatorem per saa EXX
  10. habebitur: dx aa + XX, ac + EXX
  11. aa +C xx
  12. seu dx Y at + XX + bc X
  13. seu
  14. a
  15. aa + C XX
  16. aa + B XX
  17. aa + = XX
  18. +aCXX be X
  19. a ta aa
  20. Quod si ergo formula C possit aequari uadrato, et ex ea radio
  21. quadratica extrahi, poterit dimensio arcuum Ellipticorum
  22. et Hyperbolico rum revocari. ad Quadraturam Figurae Ration
  23. per compendium
  24. sit ergo a+XX + dK aequ a yy; faciendo Sa aqubtC
  25. ()
  26. et a aequ bc
  27. a + afXK+gX ayy aequ. 0.
  28. ponatur X Z oqui C X = l aequ. 0
  29. ca
  30. aa
  31. et y- m aqu 0
  32. Multiplicetur X per fomuent X. 1 per formutam arbitia
  33. seu fiat. X seu fiat x- l AI+ Zx + 3y + 4 Xy + 5XX +6yy
  34. + 7y XX + 8 X + 9yX aequ0.
  35. og +nyg
  36. 1+ 2X + 3y + 4 Xy + 5Xx + byy +7 yXK + 8 X + 9 y X
  37. X
  38. oape ree
  39. pagus
  40. 31 132 X + 31713A 3 ex + Hax +30X y 3X 149X
  41. et similiter
  42. daequil m - y
  43. rodtantur jum vidine Termini Instituatur jam comparatio
  44. El+. 31 m aequ. a 1+ 2l + B 32 m aequ. d. 3l+ )1 + 33 m aequ. 0
  45. Xy 12)
  46. s
  47. XKy.
  48. 8 aqu 49. 33 aqu a . - 7 -38 qu 0. + 81 + 38m F - 5 u f. 0. - q 114B 15 qua
  49. l
  50. Cx.
  51. uo y
  52. +st =2 +3em aqu. 2f - 3 + 4l - 32 aquo )+ et = i +32) +l - 31 +35 + il +ma a
  53. XX
  54. ut decem literae (praeter 1. 31. l. m) et decem comparatitiae.
  55. in aequ. 4 substicuatur = g in locum 8 per aequ. 1. Et in aequ. 9. substituatur a pro 33 peress
  56. et in aequ. 5 substituatur 38 pro 2 per aequ. 3 et in aequ. 6 suostituatur = gl 118M pro 5 per ae qu. 4
  57. et in aequ. 7. subst. - 38l- 35. sd aia video non nihil laciari et neri habei
  58. ipsas let in tandem ascendere ad potentias, ita ut invenori non sit
  59. in polestate

Cite

Leibniz-Handschriften zur Mathematik LH 35, 12, 1, fol. 21r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068194:0041?run=74