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Leibniz-Handschriften zur Mathematik LH 35, 4, 1, fol. 14r

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. 15v); this page is its right half.

The machine reads it as

  1. Schediasmatur
  2. Numericis affectis
  3. initer deptemtr. 1674)
  4. D in Numeris Rationalibus exequenda, 10 B. tota s
  5. X + dX + AVX he
  6. itque () ges H A X
  7. incognitarum
  8. Aequatio quadratica Generalis duarum
  9. ad puras reaucendis
  10. solutiones hatentae causa
  11. +f.gC1F
  12. e y
  13. et Cuera
  14. + 2deV
  15. c
  16. Invenienda ergo 1 talio
  17. 2dcf
  18. Aedes Ninos.
  19. 443E
  20. rel,C
  21. 17 14
  22. g. Ergo
  23. 4 it
  24. Ergo
  25. -f y - gl
  26. +2dc.. +42
  27. . Quadrato
  28. formula ergo sive quantitas exdom ista quadato novissima quadrato aqualis reducatur
  29. ud eundem
  30. quod ut t
  31. id
  32. pos
  33. venominator,
  34. partium ex quibus de componitur denominatorem,, e 2el + C7.
  35. + gl - d multiplicetur per _- e + . Quo facto abjiciatur
  36. nam si et quippe quadratus, sufficierque Numeratorem
  37. aequan quadrato et far
  38. dep (6)
  39. se yl
  40. - eg
  41. + ed
  42. + Eg.
  43. ed
  44. c ()
  45. e ato rades
  46. Sive concipiendo generalius:
  47. +52
  48. 16dc
  49. Eg+ t v.. Ecq (7)
  50. ide Quare solutio omnium problematum quadraticorum in numeris reducitur ad
  51. solutionem hujus problematis unici. Invenire duo quad rata, quorum atteri
  52. praescripto 8. 9. 22. explicabimus; modo cogitemus detso per data num erum multiplicate, alteriqu additum faciat numerum datum
  53. + cy 1.
  54. (4) Ergo y _- f
  55. sequationi
  56. De Affectionibus
  57. acy.
  58. Quod si datus multiplicans h sive - et +C in exemplo nostro, quadratus ipse est,
  59. facites es problema solutum est. contra, si l absit, nec h sit quadvatus
  60. in numeris
  61. problema impossibile est.
  62. Qvoniam
  63. Quoniam ergo pestulatur ut = c sit quadvatus videndum an aequatio
  64. proposita statim ab initio
  65. capacem reddat solutionis
  66. in eau formani vredigi possit, quae
  67. Id est a explicatis in cognitia
  68. residuum
  69. videamus an effici possit, ut disseretra intr quadrate ullulteplicatiteyX subtracto temind
  70. sit cognitam aliquo
  71. Miplicante alteratr quadratiisalt
  72. multiplicatur), sit eondratum multiplicante; sit quedratum,
  73. Resmnta ergo Aeq. T. ponamius
  74. ex pononop. + d
  75. yA4c0 atr Y. ass erit
  76. eq cor + de qr cV + reasc + er p ers C5
  77. X e n + 2 cd
  78. et GyX enq co cur coV ren S cd +EBA CotCr I + cPs
  79. Homogento gl. per ex cteg. 1. fei. Aeq. (10) pC.
  80. Ca Cpas colp caz E, ens P
  81. 2uma pm . f. q
  82. Quae ordinando addito
  83. ex ap gr co c us + de
  84. 2m.. von. 19.1 + re.
  85. eris
  86. tum.
  87. teneci
  88. Enp.. + cer.
  89. Er. dn . +ce
  90. acue. tens.
  91. repy. 12ep
  92. et
  93. Scheda hac nnihil
  94. dictum, a quo
  95. exitum videam
  96. aequetas traeni
  97. C 2el+
  98. aequabitur Leactato P
  99. tengle
  100. +e5

Cite

Leibniz-Handschriften zur Mathematik LH 35, 4, 1, fol. 14r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00067996:0027?run=73