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Leibniz-Handschriften zur Mathematik LH 35, 5, 4, fol. 7r

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: 0.73.

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. 6v); this page is its right half.

The machine reads it as

  1. nempe. = a y, (= by (Cy) ( d) an Cy + fγ +gy +h
  2. a y ( bX+ cx (+ d) in Sey +fg +gy +h
  3. . 3dyB + ib BY + CB
  4. . 3a B2y +b3a
  5. a (33
  6. 3eyβ fef By +9
  7. 3ey 3r +f S
  8. sd rudice carvntem: Hinc statim patet, universaliter verum esse dfiguris heometricis
  9. quod termini inquibus β excedit assurgit ad quadratum A ultra rejici
  10. possint, nam si dicas fieri posse, ud servari debeant B, quia ves
  11. B simplices evanelcant; respondeo lune a. b. c. fore, quodlibet
  12. +10. ergo et B et (33 evanescere. Quid in Priebus
  13. autem Arithmeticis servari deben: Nuc ut per partes eamus
  14. Plunc ordinata aequatre f est ut tolli possint radices, sed
  15. antequam hoc faciamus, fingamus simplicioris calculicas causa, primum
  16. a. b. esse nihil, fiet: pu + et
  17. n’e ye n fy) f ngy n h) +n ex
  18. n23CyB
  19. +2nfy trugy enh
  20. +n 2fCy + WgB
  21. ne reyB +nf BV
  22. n. C(3
  23. +2feβy
  24. subscrisen denox upsem
  25. et vo
  26. 3fe V TB
  27. tert
  28. 3fey3B
  29. Fep)
  30. e
  31. 9f
  32. (9r2
  33. v
  34. = 2, 2(. BC
  35. + 1cl
  36. Cheie ritfer
  37. 3h erhsB
  38. aee e3
  39. eneg
  40. 2 n’ eg V
  41. Rn’egyC
  42. (a nteg yC
  43. 4nt eg V.
  44. Ergo quadrando prius aequationis latus, fier:
  45. 92
  46. 18 ente y6
  47. 62nt v (3
  48. one v Bt
  49. 6nte2
  50. 12n ef y B
  51. 4nte
  52. (8nt ef V1B
  53. Centefy32
  54. 12ntefy
  55. 4 ntef
  56. 4n ef yB
  57. ae
  58. +8nCG
  59. +4neq Z
  60. 4
  61. In c9
  62. curda
  63. aran
  64. B0 NcgV
  65. 2 n eg
  66. onenv
  67. 6n efyβ
  68. n’ef. (3
  69. 6n’ ef y (
  70. =4nZveV
  71. -6n Z cyβ2
  72. 18n (CeyZC
  73. H2n)CCy
  74. +12n C C YZ
  75. 4n’ceB
  76. XV
  77. 6n’ec y
  78. -6nec y
  79. +8nfVB
  80. +n7
  81. -qufy
  82. 4n72
  83. an (y28n fcyZ
  84. 8 ut fgyB
  85. 4nf9yB
  86. 4n fgy92
  87. 2n fg
  88. (8nth V
  89. eft yB
  90. Anth B
  91. adrationem
  92. dn fcy
  93. quscz B
  94. E5y
  95. n’efyβ3
  96. ns
  97. glueralis serierum, 3 si
  98. omnia per B multiptieata destruantur, oigulam
  99. -6n’ que ys
  100. 1X nt ehy
  101. 1 entehyB
  102. L
  103. Inea
  104. +qu
  105. An hc
  106. =4n
  107. 4nf
  108. 7
  109. nF2+
  110. 4nefGy β3
  111. Unde
  112. Et habem Tabula
  113. evanescere
  114. irrationatis
  115. quadrabitium, quae variant, pro varia explecave
  116. cognitarum
  117. plagula parte creviasmatis radus
  118. seu Fig Termini.
  119. pro figurs Gednetriae excerpti sequent
  120. quarta continebuntur. omittendi et
  121. in quibus) ascendit quadratum.
  122. relimendi cermini Z
  123. (. 2B. M caeterxomnibus resestu
  124. pars 1Vta

Cite

Leibniz-Handschriften zur Mathematik LH 35, 5, 4, fol. 7r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068022:0013?run=73