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Leibniz-Handschriften zur Mathematik LH 35, 6, 19, fol. 11v

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: 0.72.

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. 10r); this page is its left half.

The machine reads it as

  1. t
  2. summalis ver, curvam
  3. fiet O= h sdo s6b + net
  4. 2 Vcvrie 10B
  5. Quaeritur D (6) F (∞x de
  6. DI. fn fag m. B. av
  7. v-
  8. I+ncoci sit coco = cvrea et du = cdv. Etex
  9. (dco H
  10. ve in
  11. seu 0- hes do ter
  12. drax
  13. Abb + n cD
  14. b iblac ecV -a VB
  15. aaee +bbCV
  16. fiet sit Xx = ag + imv et fiet nar
  17. (10)
  18. nrpid
  19. sit ∞ D. fiet m = (4) C Ergo; n = (+
  20. +a- 2agmv nup
  21. -aag9
  22. C 151)
  23. lag sed bb 24 (+ pag. seu b = 2ac + rag
  24. rursque bb = pag - nea seu per. 13, bb = pag(+) pea. Ergo
  25. sit p=
  26. 2 Vagtmr
  27. spq Hmo
  28. seu D =10 = fm (av S
  29. agamv. Va-Eg aagg- ragmv-mnivr
  30. (1277
  31. 14)
  32. 2aC + bb=
  33. metuus
  34. e
  35. ys c
  36. (20)a
  37. (+)2. postemo (22a eB () 2aa e9 aa e = a - aagg
  38. fiet ac +ad= laa
  39. fe (+) Ag = saa. Ergo fit
  40. per 16 et 21, b - 2a sed per 16 Ero b tra taa. sed
  41. ex 21 fit 4)g = a
  42. e
  43. et Ex 19 et 13 fit n =
  44. b2 a12 et
  45. e2
  46. datum s
  47. debet p esse affirmabiva ob tp. Ergo siet
  48. (161
  49. porro
  50. per 19 fiet
  51. =2 et (+) = et n -2 et m -c et etgus a
  52. es debeti esse ag+ mo quantitas affirimativa, seu ag - cv debet
  53. posita . XX
  54. esse quantitas affirmabiva.
  55. perro _quaeramus jam
  56. Hyperbolam re punctum conicae respondens ad punctum
  57. carva quadralidae.
  58. per 7 fit et 38 fit v +
  59. VEag = 1Xx. Ergo per C fit co = taq = XX. id est per 29
  60. + ea
  61. fit coco = aa - XX porro gy aco ut
  62. (34) H
  63. porro yy 4= L r9 + C0C0 ergo rjus = Ne + 19. 4 4 7XX
  64. Xaa
  65. sit porro bb = rq. 94. 4 = 6 (per 23) auc 24a, seu 9 q a 2t2
  66. N =
  67. +V-4 seu per 25 et 3b -- Y urg. (9 = + rCD seu r +9
  68. seu per 2. r= + a212 Ergo ex 34 fit yy = C41 +arc, art 4 ; +g. XX
  69. 1 +.L, +9 aa
  70. seu y- aa -xx Y quod est altudum. u Ergo est iimpossibilis est Hyperbola
  71. summanda ddd0 = Dd0 -0d
  72. de qua agitur. sed quarum curnam
  73. 2 et 13 = a pe carz. m. vit
  74. x, n: W = a xx. a- X 1d = 2d+ dx G 10-
  75. EF curari seu dW 2xa eax (X + X
  76. a 1a- x
  77. EF: toseu ar: : dW: dx d:: 22X, s
  78. A9 = _ A Hg = n 2B= X -, 5t
  79. ~x
  80. H, fiet XX - 2X +M F N-
  81. BH _ BH: QH = B a- x: 4 a’X. seu fiet
  82. 4a, Xx-2X2 F M + e e =. n p. 1) a X
  83. unde differentiando fiet
  84. 44, Fx- ixd + H + e + 4 a X. 2. X - s2 = - (n ( 3 X P a - x
  85. seu 14a XX = _ 16XI + 4 a H + 4a H 4a n = - 3n en X p2 a - x
  86. x-1
  87. ro d
  88. dsaez - a3 = d (rg) ae Z - 4Z = d _ v = et - + v
  89. et
  90. se
  91. seu Xadz
  92. LLaZ. a7
  93. seu fad
  94. SaZ-a
  95. adz - 3a37 dZ
  96. 21 aZ - a3
  97. == 242 4
  98. m...
  99. 3a - 222
  100. 2 1aZ: aa 22
  101. 2Vu.
  102. = 2 adz. aa 7 - d az- aZ. ht a7- 2 e. fit 2a 4
  103. 3.de Sa - t - d YaZ- a5
  104. du
  105. ade
  106. 1h. t - 5. sel g1 17
  107. i aa 2
  108. 2 aZ
  109. at.
  110. 2

Cite

Leibniz-Handschriften zur Mathematik LH 35, 6, 19, fol. 11v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068064:0022?run=73