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Leibniz-Handschriften zur Mathematik LH 35, 5, 4, fol. 8v

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: 0.71.

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. 9r); this page is its left half.

The machine reads it as

  1. Atrani eodem plane foruum modo formulam
  2. fieri operae puetrum est
  3. pro curvis ratio Senebus ratio irrationali carentibi sed contra
  4. habentibus tractionem. ubi hoc etiam commodi hhabetimus quod litera
  5. . non assurget ultra simplicem exponentem.
  6. av by =CV =dV= CY =f Y =g C hqy + GV + my +ny +pV
  7. +C y +dy + ey +fY +g h y + ly + mY + ny + p5I
  8. 4c3y3 +3d8y +deBY +fβ
  9. 6 ef V +3dβy 4 eβ
  10. +∞ +d5
  11. Et multiplicando per crucem,
  12. ach BV
  13. 16cti B1
  14. 4ch BV
  15. etr β1y7
  16. SdhB16
  17. 3dhBy5
  18. dh β9+
  19. retBy
  20. e
  21. (- 4 tic B)
  22. =6h CB V
  23. -4hcβy
  24. hepry
  25. =(C V
  26. 3lcBy
  27. = 3Ic BV.
  28. -1c 31 y7
  29. a ic
  30. 2mc 3y
  31. Gsus
  32. = me B2y
  33. CnC y3
  34. nC BY
  35. 6c2y5
  36. +clB1y2
  37. C1407
  38. et V5
  39. Eeey7
  40. FlV4
  41. 61d B
  42. 9lid 3) st
  43. = hdB4V)
  44. =3Id BV
  45. 31dB2y
  46. -1d35y
  47. md vi
  48. =2md B
  49. SCmp2Y2
  50. -mdBis
  51. nda
  52. Cndpys
  53. EpC V CP
  54. cmetor
  55. 3d m By3
  56. ecueu
  57. com yd
  58. 4hesy
  59. =hesty
  60. fiir:
  61. cnV
  62. dny +
  63. Cen Y
  64. Den By
  65. ime
  66. mesro
  67. pe
  68. a
  69. 4uBY +IBy + um By + n B
  70. 6hPY tsiy F m β2
  71. +t Y +lBd
  72. Cp VD, (et InV mhyss ntu
  73. 6hfp9
  74. -4lfB3y
  75. +cpβy
  76. 30p B2y
  77. dx (23,
  78. Cexyr
  79. asfy
  80. -3lfBly2
  81. Omfzy
  82. -nf BZ
  83. entet
  84. atis altipy amtBy antiBi
  85. 6t bItsy smtp entipp
  86. oti p altiBy amtisiu antiBhy
  87. kBV 1tBTY mhptu utiBtu
  88. LIV 105 ml ys ntyq
  89. 3tBy mtBs
  90. 5ttCry 3l25Y 3m(Bp
  91. 3n BV
  92. h1Bi lery imtsoris ontu
  93. amv ImVE m y+
  94. (5 2tm By 2Im βY 2n BV
  95. ex timega im ni
  96. ang7
  97. =indus 3)
  98. -ng (32
  99. In v mn v
  100. By maBY
  101. epy mps
  102. Unde utjam excerpendo eas tantum quantitates, quae
  103. ad figuras Geometricas nota numettiore
  104. in demnonatore numertitole
  105. illis omnibus in quibus β assurgit ad quadratum et ultra fieta et
  106. regula reformat formuta reformata
  107. abjectis
  108. pellaososi omnibus in nominalore in quibus est B, fier virmuta reformata 6
  109. d
  110. Am V X lnyx +PX. siata jam (2) ner st E
  111. cut 4Zsi +Y
  112. dytest evisert
  113. Fn ny X + n yX + PX. Eanlergo Z F mydX + nY E pX Y. Pro X purendoligualarem
  114. zam
  115. X, dy3 + ey 20d
  116. 3dy + rey 1r. s l in g
  117. 3dy +2ey = 11 ine
  118. myr+ny +p 0ig)
  119. sed haec quo minus fallantur summa cum axactitudine
  120. resumi operae pretum est.

Cite

Leibniz-Handschriften zur Mathematik LH 35, 5, 4, fol. 8v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068022:0016?run=73