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Leibniz-Handschriften zur Mathematik LH 35, 12, 2, fol. 65r

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: 0.79.

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. 64v); this page is its right half.

The machine reads it as

  1. Hac scheda continetur tota
  2. doctrina de Aipplicatis
  3. ad Loca plana
  4. rectam, et circulum:
  5. Atrae nempe exhibentur.
  6. aequationes generales.
  7. tam ad circulum
  8. ..
  9. redam
  10. aequ. g. fiet:
  11. quibusdam
  12. a datis du binis caterum differentis, et angulo uno
  13. AB aequ. X. BC aequ. g. ACaequ Z
  14. Z- X iqu a.
  15. XX F
  16. 2- 7 aequ. b
  17. Ad aequ. e. DC aequ. f.
  18. (3) BD aequ. g.
  19. XX F ee + gg aequ. XX
  20. e: f
  21. F ff + 99 aequ. yy
  22. y: g: f5: l. m. n.
  23. Ergo qg gaequ. m y per 5. et faqu. ny
  24. Ergo datis ex aequ. 3. fiet
  25. C + f aequ Z
  26. a aequ. 0
  27. ee +mm equ. xx. et nngyt nim yy aequ. y7
  28. (13) U
  29. (14)
  30. seu e+ y aqu. Z seu e aequo n y+3 nn + Mne qui ll
  31. nu
  32. reris
  33. -2n yx +mm
  34. Cet
  35. Ergo ex
  36. C
  37. aa + xxtrax fiet nngy +aa +x-Onyx+mmus aequ. 0
  38. seu pronntium e
  39. (16)
  40. ilem a surd+bbryus sebus-En up pamm us . Xxa
  41. per 15 et 2
  42. subliahatur a ae quatio 16 ab aequ. 17. fiet.
  43. bb + yy F 2by - xX - aa rax aequ. 0.
  44. per iset
  45. Exaequ. et 2. fier. a vel atxaeqo b+y.
  46. quod jam fumpatet ex aequ. 1. et 2
  47. loco aequ. 19. scrilamus: X- y + a qu. 0.
  48. vel faciendo a - b aequ. c erit:
  49. 4ce9d. - 8 +5 _ 4aequ - 3 + Su - rr
  50. 4aqu. 8- 3 + O in fiei 5 aequ. Srr Cn-
  51. multipl. per
  52. Faxa +y,
  53. x -y +C aequ. 0
  54. 4X + 3y +E
  55. +2x -37 +2C) (22)
  56. +3Cy
  57. ++cX
  58. 5aequ. 20
  59. +49+5
  60. razue - 3px -409 5a
  61. =4yX
  62. +3Z
  63. -+ ubZ - 136X - 12B7 - 15b
  64. -B3yX
  65. = 157
  66. Zt BXacty+ .5I
  67. 15Z
  68. b
  69. Trianguli invenire Triangulum
  70. 4aequ-3+5.
  71. T3Xy -3yy
  72. temyy
  73. 135aX
  74. Cos
  75. Gaa) aequ. 0
  76. (exaequ.16
  77. multio
  78. 3
  79. ACqu. 24. compara Bacum aequ. 11. signi D Deugx stemns
  80. 5.
  81. (25
  82. aequ C2
  83. B aequ
  84. denotatquan
  85. nqu
  86. +et (2) in
  87. circu
  88. eo co
  89. 6gl
  90. 4+3 -5EBC2)
  91. fiet zaqu. 5 ( 3f qu. pone hant (2
  92. alot
  93. ampon
  94. 1aey6.
  95. EF
  96. s
  97. E
  98. v. X. C0
  99. 27+ vn aequna
  100. FEa
  101. +
  102. vaequd
  103. quovalore substituto in
  104. .
  105. : exyx +od id
  106. fiet
  107. d
  108. E Deaequ.
  109. Ssco aequ. 2
  110. CX
  111. frr- co substitutis valoriaus8. 10.
  112. habetur aequalio nova, luimodi
  113. per 38. srgu per 27
  114. . 5+ Cet Ax aqus te sA) not(. atetur erus
  115. poterit autem a sumi pos arbitrio
  116. LRequatio Generalis ad circulum cn aliae compa
  117. bp + GrccS) p
  118. +dd (S.
  119. - 2d
  120. hh aequ. 0
  121. 2p.
  122. ebent
  123. sa
  124. si punctum E cadat in circuli circumferem
  125. pp + dd-sih fiet aequ. 0. seu
  126. terminus cognitus destruetur
  127. ingsi
  128. habetur
  129. haberuque et e
  130. equ. h

Cite

Leibniz-Handschriften zur Mathematik LH 35, 12, 2, fol. 65r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068195:0129?run=74