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Leibniz-Handschriften zur Mathematik LH 35, 3 A 30, fol. 11v

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. 12r); this page is its left half.

The machine reads it as

  1. (17
  2. invenise tres numeros ita ut duorum quorum libet
  3. summa sit quadrajus.
  4. a + b X.
  5. 4
  6. fiet: c aqu. - X + y +2
  7. a - b aequ. 12.
  8. (2)
  9. a+ c r yt.
  10. btC s
  11. b aequ. +X- 9 + 22
  12. a tqu. 1x +y
  13. a - C aequ. m. b - c aequ. n
  14. (12)
  15. (15)
  16. a aequ 1 + b a aequ. m +C. Ergo. b aequ - 12 + m +C rursus b aequ. a C.
  17. (10)
  18. invenire tres duo numeros ita ut duorum quorumtibet
  19. differentia sit quadratus
  20. (1)
  21. 4
  22. fiet n l’ aequ’m- n manonte C arbitraria
  23. (11)
  24. 12
  25. (4)
  26. aequ. m - n
  27. invenire tres numeros ita ut duorum quorumlibet summa
  28. et differentia quadratus.
  29. xnssniua
  30. per 6. 11. fiet: 2m +5 aequ. X . per 4 erit 2m -X ( y Z aequ. X ( et
  31. (15)
  32. seu fiet: m aqu. x - Z2.
  33. (17)
  34. per 5. 13. fiet: 2n + 2C aqu X- 7 + Z2. per 4 erit 2n- X +y Z equ. X. es( 2d
  35. (18)
  36. seu fiet n’ aequ. X yt
  37. Omnia ergo reducta sunt ad has tres aequationes,
  38. 12 (14)
  39. aequ. m - n2
  40. quas ita absolvemus.
  41. (+
  42. (16)
  43. m aequ. X. Z n aequ. x= y. seu
  44. (19.)
  45. sit aeqo fn fn
  46. m 42 ms + n aequ mn seu f
  47. (24)
  48. seu im aequ A
  49. f2+1
  50. fiet
  51. C2
  52. in +n aequ m +n. et m aequ.
  53. +n
  54. 16)
  55. sit Z equ XPp. a fiet ex hitm n aqu (X - ∞ D p + 2xp
  56. (2)
  57. seu
  58. It + 1
  59. ns
  60. et X aqui n 1) +P seu x aeqo 2 1))
  61. t
  62. (14)
  63. ecece
  64. aequ m- n
  65. (19)
  66. m+n aequ P9
  67. (24)
  68. X +Z aequ
  69. X+y aequ Up
  70. (34)
  71. Lu 65t
  72. (20)
  73. (18
  74. (1)
  75. (12)
  76. f+sn
  77. (13)
  78. m- n aequ pat. fiet l aequ. pg. m aequ P 4+ PY. Mago Yq. p
  79. 25
  80. X- Z aequ r52
  81. X. y aqu tr.
  82. fiet irsaequ p4, psq per 22 et 26
  83. 2tV aequ. p4, pg per 23 et 31
  84. 36
  85. rs, r+s Eequ tv, + +V per 27. 32.
  86. en
  87. 2
  88. (2
  89. (16)
  90. fiet maequrs X aequ r(+rsi xeg. rS. rs1
  91. 32
  92. fiet: n aequ. tr xago tv+ t. frgo tx. tr
  93. v
  94. (31)
  95. (37)
  96. aequ
  97. 25
  98. etq prs- qus aequ txpt tvu
  99. p - 9
  100. v
  101. dolrs+ tr
  102. rs- +
  103. es -tn, . typ (t)
  104. AvH ras (fiet rsi 1
  105. irs+ sin aqu pus pr 14 + 15 cuit gaego sastr
  106. a
  107. rs+ +p f2)
  108. rs - +v
  109. (29)
  110. Ergo 1 +0 aequ rs+ e p- tto osilv - es+ t
  111. (40)
  112. Ers- YtV ago 7p92 erit 14 aequ rs- +
  113. aequ L. Ergo P aequs
  114. seu fiet: rs
  115. r
  116. rs+ tv- rs+ Av
  117. Is aeqo + +v. +D aego r+s
  118. 4u is+ to H
  119. 25+ +V
  120. 9. et per 37. fiet: 1) aeqe is to
  121. 5. 1v
  122. P s+ +
  123. +v
  124. +q
  125. rsntn q
  126. ra de grreit
  127. A
  128. suit

Cite

Leibniz-Handschriften zur Mathematik LH 35, 3 A 30, fol. 11v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068243:0022?run=74