Search the Nachlass

Leibniz-Handschriften zur Mathematik LH 35, 12, 1, fol. 116v

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: 0.82.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. aa +ba- LcC
  2. + d
  3. aaatbadcea
  4. daat bdat ccd
  5. aa - bb
  6. ab
  7. aaa - bba
  8. baa 1 66b
  9. aaar baa + bba
  10. Labaa F 2 bba
  11. 3ba a + 3bba
  12. sc.
  13. a
  14. Theor.
  15. -
  16. .
  17. He---
  18. aaa+baa bba -
  19. + 2baa 2bba
  20. + 3baar 3 bba
  21. 666
  22. +d
  23. ra + ba. L ca
  24. + du tod. + cd
  25. la +ba
  26. Ct
  27. 64
  28. c.
  29. Trect.
  30. Demonstrat.
  31. dotccFdd +2bc
  32. da 2cd
  33. a
  34. 6b- Fcc + dd + 2bc et Lour ea
  35. e. d.
  36. a
  37. l. + acd
  38. He...
  39. + c.
  40. Demonstrat..
  41. d bb + cc + dd - 2bc - 2bd. + 2 cd site
  42. Hypoth..
  43. + 4 bc- + qbd
  44. bb F bc + cc - -- est B;
  45. bbcc -+ bccc - -- ett 3;
  46. bb + bcacc et bb -bc 2cc. est B:
  47. : 2bb e 2cc. . . . est D;
  48. bb d cc ... est D;
  49. : b e c. .. ett B;
  50. In Aequatione Canonica num.. 2 4. Si pona.
  51. +ca ... d - - b. + c.. mutata d. in b. +C. . . . . . . . .
  52. erit. aaa - bba
  53. + bca
  54. + cea = - + bbc
  55. ritque radix quaesit a.. a = - b..-
  56. dem aegvatione foscco - bd - - bc. + cd
  57. erit... aaa - bbaa
  58. abdaa
  59. ddaa
  60. + bbdd
  61. b. + d
  62. In Aequatione num. . 25..- posito d = - b. + c.
  63. .- -- erit.- aaa - bba
  64. -3bca
  65. cea = = - b1
  66. dix quaesita a = - b +c.
  67. 2bcc ..- e ra
  68. In Aequatione num. 26.. posito - bc = bd
  69. erit... aaa - bbaa
  70. des quaesita
  71. in que
  72. : bb- + cc + dd + 2bc + 2bd + 2cd ri eni
  73. + d
  74. b. + d
  75. 3bcaa
  76. aceaa
  77. b +c
  78. -a-
  79. 8
  80. bc
  81. b +c
  82. Corollarium.
  83. +cd
  84. obcc. -
  85. tc
  86. Ex duabus praetedentibus Aequationum Canonic
  87. um Reciebus (num.. 25. es 26.) earumque veductitiis
  88. C58) manifestum est non omnes Requationes nega
  89. tam habentes potestatem esse ambiguas, ac proinde
  90. mata
  91. rum
  92. cente
  93. in qua
  94. aequat
  95. ideoc
  96. incide
  97. Quod
  98. ambius
  99. Paroc
  100. conclus
  101. Sranc
  102. esse co
  103. team
  104. de eo
  105. co gra
  106. one d
  107. genet
  108. nonise
  109. liva
  110. duci q
  111. radic
  112. set d
  113. non
  114. de ho
  115. cessit
  116. sasse
  117. digue i
  118. ab a
  119. toec
  120. mpta
  121. gata
  122. le de
  123. radice
  124. ac +c
  125. negat
  126. Theorema illud Vietae (CAP. XV. de Recognit.. Ae, tenic
  127. quat:) quo asseritur, quam in aequationibus potestates de ter de
  128. homogeneis adfectionum negantur radices esse anci. cathe
  129. Pites, demonstrationemque Vcetae nullam inferre in
  130. magi
  131. ejusmodi aequationibus ambiguitatis necessitatem. kire
  132. non esse necessario ec universaliter verum,
  133. tuma
  134. 52g.
  135. + bcC-- e
  136. Porro in ea
  137. 2C=
  138. clas ab.

Cite

Leibniz-Handschriften zur Mathematik LH 35, 12, 1, fol. 116v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068194:0232?run=74