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Leibniz-Handschriften zur Mathematik LH 35, 3 A 2, fol. 37r

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. 12v); this page is its right half.

The machine reads it as

  1. ret
  2. K4, K m nt + K m nB, coq m n + Eoque mn + n end aqo PM
  3. seuordinando K m+ n+ m + coq mn m + +co, nd n Y mn
  4. possis et parere c0. aaequ. 9. id enim seu per effici potest
  5. sumamus jam pro s Eto gradi
  6. h + ha + (2 m + n aq S. HL +hm + hn + Im+ ln + ma aegu. p
  7. hlm + hin + hmn + Imn aequ. 9. h lmn A aequ. Y.
  8. (3
  9. aegu 9- Imn aequ p - im -In -mn
  10. im + In +mn
  11. erit h aequ. Y
  12. 1 + in +n
  13. (Y)
  14. exdurtus aequ. 1. et 2. fiet: r rimerinermat ln aequ. olmn
  15. Inim
  16. et ex aequ 1. et 3 fict at rmt n r in + lma en aequ. plmn
  17. ex aequis. fiet, 12 aegul glmn = rmon. nia ex aequ. s. fieit PIm -Y E i = Imn
  18. un
  19. nnd n
  20. quos duos valores aequando inter se fiot: glmum-rm m-rr rmam) aequ. pl MH
  21. mone
  22. agr l
  23. = rI md (r momn) m n adeoque siat l seu qlmam E aequ arin
  24. CY aeq. 2. et 3 q(- Imn ) aequ. P 1
  25. n
  26. min
  27. Mnu
  28. (2mn l mn =m n
  29. n
  30. et siet ( aequ. ln plm - meroe - imn in - qL + tn glam- r im
  31. in ne + mn
  32. nn
  33. um
  34. nqu.
  35. uande pum in = M 3a - lmenm - q lnun - gmam aequ qlmm = ntam 1lm lum
  36. nn
  37. rmn mo = r lmum =rmn
  38. X XpA + XX)
  39. 29 (1)
  40. (2
  41. h tmn h +lm In aequ. s. hl+ hm +. hn+ Im + In + ma aequ p.
  42. h.6
  43. hem + hln+ hmnt lmn aequ. g hema aequ. Y
  44. imn
  45. Ex 5et b. fiet
  46. 6
  47. haequ. mg-lnn
  48. (12)
  49. em+ lntnn,
  50. h aequ. P - em
  51. m aequ. 9 tum- l’ meri seu l’aqu. qlmu - r in
  52. nin
  53. (10)
  54. ex 5 et 2. fiet p tmn - lrm tm aequ Y in, vet l’ aegu P Tum - L -1
  55. (2)
  56. mn m
  57. (13)
  58. brin
  59. ex 6e17 fiot 90L (Imu et) aqu. p tom-Bri Bmn l et l aegu. pe ind Vimam qu
  60. ina
  61. inre
  62. ex 9 et in fiet qu mn n = rt pit ( rma 1n) aequ. plnm - m m 1od v3 vn
  63. mn
  64. Exg et B. fiet: G lmn ni : 59L nin : 4 - r 1 n ErL mnm - rmm ne (= r Emu and. r nite
  65. aequ p prin ln - men - lm n m - qmen et fiet
  66. 66) r mn + raen- mtnt - quinum + p n n
  67. l’aequ
  68. +quon + 9me- r m3 -2r ma m- pin em nitid i
  69. idendum an non compendiosior via nempee lm + ln + mn aeqiu. p -= h l - tm - hor exodem rago
  70. ergo ph - h.t= tem sen aeu g- lm et pro h. substiti endo valorem ex 5 et tollendo
  71. frnctionem fier: pYlmn - r aequ qrm- 1 m 2
  72. Hiac si
  73. resser 0 se si aequatio duta esset: XX PN + qu X s. fucitem inprinis fore solitionemm statim emm
  74. haberetur per aego 19. valor ipsius Imn. ergo et absolute valor ipsius h, ergo et absolare vala ipsius Y
  75. Ergo et valor ipsius PM . l. m. n. et go et radix aequationis seu vulor ipsius h. mo jam
  76. 0
  77. video id non licer et esse contra Hypothes Quia secimus lmg. aego. V. ergo non est, t
  78. redemmus ergo ad ram. Totuus = pr (MM = glM n + (3M V vocemus C. fiet in eigu ∞ co.
  79. dinstar aequatio, 14, in qua solae supersunt lterae m. n possunt aliae adhuc repi scribi
  80. aaequationes p numere 5 pro reliquis quatuor literarum combinationibus
  81. it n alm puila a
  82. sint duae, una pro
  83. hl aequ. = 7 1- hmn-imn fiet: in Y +hin E e qum
  84. mo
  85. + n +n
  86. un

Cite

Leibniz-Handschriften zur Mathematik LH 35, 3 A 2, fol. 37r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068215:0073?run=74