Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 174r

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

The machine reads it as

  1. pro Wvanisians quadracuris demonstrandis et Amperfucandis Mart. 1686 schedai
  2. Et
  3. sit C= a-y. Quaerita
  4. sit Z = a + X. et quaeritur d xC so. fiet:
  5. C- 1 Cd
  6. X
  7. Hinc posito co = 1. fiet X. a +X
  8. vel post f fill
  9. ex
  10. co
  11. Z
  12. L et
  13. a
  14. 2
  15. a+
  16. Z-
  17. o
  18. e l
  19. t
  20. e
  21. et X
  22. B L L.)
  23. .dx
  24. t
  25. co+1
  26. cox
  27. a
  28. e
  29. C
  30. A
  31. Hinc dato YX - XX datur siu X
  32. 102
  33. d
  34. 3:2 -1: 2
  35. co-
  36. dx
  37. seu si detur factum ex potentia X, et potentia Z dabitur eju
  38. summa si detur summa facti ex una potentia ex unitas ex
  39. a+x. dx seu 72+a. Z4c
  40. X a+ Ax
  41. t0
  42. a
  43. et f glo- f
  44. et
  45. 70.
  46. 3 0-1
  47. 3
  48. 0
  49. r+1
  50. ta.
  51. . 7 = Rx 7. Nihit dat quia ob
  52. l,dC.
  53. modo intermedium inter +C et + e+f
  54. ∞e
  55. non sit O. 5:
  56. =
  57. +C) C12+ a. Z. aZ
  58. intervenientum c. enanescit
  59. et 4 co-2
  60. X
  61. L
  62. ve
  63. finc dato circulo seu YX - XX seu X.. Z, datur X. L seu BCYX. et X.
  64. et eF
  65. 73.2
  66. 25X
  67. seu
  68. Video tamen hoc ipsum jam ex methodo mea pristina quodammodo pendere, et eode
  69. ac si multiclices tam per x quam per 1-X
  70. C.
  71. Z a. Z. dque qualis proinde pigura semper quadragi ut
  72. et 3 con 3
  73. et X
  74. dari
  75. 12
  76. t aentis aucta altera dininnta
  77. pieut
  78. a
  79. Dantur ex se invicem:
  80. eti co-1 et 2 co-2
  81. X..
  82. Unde sequitur dato (X
  83. f
  84. B C.)
  85. omisso dx = de Fax itaque c harum duarum summarum co
  86. una ex alia data, datur. Hinc posito cd1 fiet
  87. Hinc posito C0= 1. fret e
  88. posito
  89. seu
  90. a
  91. C
  92. a
  93. BI
  94. ec
  95. relire
  96. a
  97. Eadem et alia dat sit V1- X quae datur Quae si multiplicetur per X et per 1+ X fiet x XX, et L1 - X
  98. quae ex se invicem dantur item si multiplicetur per X et 1- X fient YX = X et 1 - X Si-X
  99. ea dantur ex se inrirem sed hoc per se patet. Itaque tantum in intfractis intercurrentibus prodest
  100. Valo V1 -X datur n LX
  101. X: 11 -X. et X: Y(I1 X et X: Y()1 -X etc
  102. Haec omnia videntur demonitrationem progressionis vallis canae reddere faciliorem
  103. Aliud in eam rem ut e
  104. es
  105. s
  106. n
  107. el
  108. C let se
  109. Aeiud. sit L= a =x. fiet d pego=
  110. et generali si sit Z = a + X fiet
  111. e
  112. c0
  113. seu d X. a +X = C
  114. ad huc generalious s
  115. a
  116. d. Xe = C
  117. e-
  118. X
  119. a +bx. lamX
  120. co
  121. 1o f
  122. C. XC- C
  123. -1
  124. =. a +b. X
  125. e
  126. VI-X
  127. ettri
  128. 26-
  129. + Hco. X. L
  130. X
  131. et 1. co-1
  132. +2C. A
  133. eth.
  134. 2
  135. c0-1
  136. 2
  137. 1- X
  138. XXIX XSx Yix
  139. 0-1
  140. b1
  141. h-1 s co
  142. hb. X. LtmX + C0. l+ mX B. M. X. a +b. X
  143. e

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 174r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068196:0345?run=74