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Leibniz-Handschriften zur Mathematik LH 35, 6, 25, fol. 4v

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

The machine reads it as

  1. eca ei
  2. iutamen eib reducendi dimensiones curvarum nicaum
  3. darcus circuli et Logarithmos.
  4. 1+10X latur ex Conicis. sit X = ZZ. a se ax=
  5. 1+20X
  6. filt 124
  7. 1 + 10X C.
  8. 21+207
  9. S. sit g 1 Ex 4 fiet 1 aa
  10. Et
  11. Ld
  12. ( = Suxt s 11+ OX
  13. re
  14. 21 + 20X
  15. 1107
  16. fiat X a a. vr seu ex -- 2a
  17. La d
  18. +a
  19. XN. +1dZ2
  20. 2142075
  21. 2e
  22. sit, X = 43: a dx= X = Z: a dx = 2713: a et ex 1 fet
  23. C2
  24. seu
  25. e
  26. (6
  27. VM
  28. (dus greti (1a + 1022
  29. fiet e siz
  30. Ca 2a + 20Z
  31. C11
  32. Si ergo ( = sade s 11 + ioX
  33. () = (a2749
  34. 1 a x. a
  35. 21+ 20X
  36. 31 = 20X
  37. en
  38. sen ret1 0 seu e- 2
  39. fir O= utrX, X
  40. xx
  41. et fiat X = ZZ: a et dx = 22dz: a fiet
  42. 14 +10ZZ,
  43. 21a +20p
  44. (2)
  45. (4
  46. seu O = 2as_
  47. ua tioZZ= 2a saZV
  48. 21a +2572.
  49. torro Datur fBtque datur ergo svaqu. ex quadraturis rationalilus
  50. porro
  51. AB, Z
  52. DE- v
  53. BE cd = a2
  54. VZ dZe BC= f~7 43
  55. ad
  56. 2a +2022
  57. sit (d dZ = DE et BC - s18 dZ
  58. fit Zscodque - Pa = ((eodZdZ. Ergo fit
  59. aa
  60. Gu . f0l Sez s = feotque 1Z. sed hic me
  61. a
  62. s
  63. a a r2aa
  64. difcinaes.
  65. ZC A B CGA. + BAG =
  66. 1oZd3
  67. dia
  68. c
  69. te
  70. e
  71. coqu = saque scon
  72. quae est dentica et per se patet
  73. Aliter sit ne
  74. dZ
  75. Habetur BC -f codZ+ = p a e
  76. oit s.D E = Cd, (t (Z potest summari ex Conicis
  77. et fit
  78. 1d
  79. Co2dZ= BBCGH= ga, nam datur ratonalite
  80. ABCBBAG = + ABC (3 - G(B3CG = EA BC
  81. codque + dque scod
  82. Alite
  83. in
  84. o
  85. a LL, 2Ia + 202Z culiogtem esse
  86. Ergo ut sit 20+ 1 = - 1. fiet e = = 1. si ergo O = sed j11 4 10X
  87. c
  88. C
  89. 2 Salte ex quara
  90. turis rationalibus
  91. sit DE = Codq datur (per lalionalem quachatirum (co dZ = 2 = BD
  92. Seodue = Gβ3CG1_ jam GBCG = ABC (3 = GABC
  93. fiet
  94. (codz =
  95. Scodx =
  97. E-az- n si potu
  98. taque dimenso curvae sonicae, et id genus problematum reducta
  99. st ad summam summarum conitarum. seu cu pendet
  100. ex quadratura curvo, cujus ordinata et quadratura Caniea pendet
  101. eamqus sed quia quod timmem licet viicatur difficilius quaesito, videm
  102. tamen analysi salis faceere, quia sic res. ad meras ratio nalium summas
  103. et summarum summas, redacta est quarramus ergo V per raliomes
  104. Minio nondum
  105. a usu
  106. Non successitesse
  107. glerimhic nnven
  108. x surio ax = s
  109. 2420 a E
  110. posito esse
  111. 1 noux (.
  112. aa 21A. aX)
  113. ea ii fit
  114. ex ses
  115. 1z: a

Cite

Leibniz-Handschriften zur Mathematik LH 35, 6, 25, fol. 4v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068070:0008?run=73