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Leibniz-Handschriften zur Mathematik LH 35, 3 A 16, fol. 15r

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: 0.81.

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. 16v); this page is its right half.

The machine reads it as

  1. (1) Num L.
  2. (3 .0. - 1
  3. B).... HII
  4. ac
  5. Pres Numeros invenire
  6. quorum summa sit quadratus, et summa Quadratorum
  7. X - ab - a
  8. (4) summa Numerorm. X
  9. sit quadrato. Quadratus.
  10. Ejus quadratum ab
  11. .. ... a
  12. X - 2abX + ab
  13. = 2a + arc
  14. Quadratus per primam conditonem. +2 abc
  15. (5) summa Z uadrutorm, X + + X C + 6 X C + +X C + et
  16. duas
  17. (6) Aequatio inter summas
  18. Quadratorum, (5) et (6
  19. (7) Ponatur a re.
  20. (8).. . .. + .
  21. (9).......
  22. (10)....
  23. (11) Ponatur
  24. bf +X
  25. CH9 +X
  26. g7- f
  27. qui est quadrato. Quadraty ab + + X +F C, per secundam conditionem.
  28. +X) + 4 CX +6∞X2, rab X e X + et al o
  29. fic
  30. d
  31. rl 12ac.
  32. uad
  33. (12) dequatio Resermata
  34. s. = 4X +bC X + rbX + 2∞X X ,e - 2eb 2eC - reb C pp o. dinsir milyses e.
  35. iere
  36. (28.) (+2X.)
  37. fiet 2f X regX 0. t
  38. et -+e X - 2f2
  39. (13) Ponatur C p. m f e t ex aeq (12) fict: m f - 4 mX - 2 f +10
  40. (19) itequatio simplex quaesita, f p) aml X
  41. (15) Determeratio
  42. Regressus
  43. (15) Numer quaetit.s 2. ab
  44. 116) ......... I aC
  45. 2abc
  46. aX 60X) b2 fX + 292 tex re et ( resx
  47. M2 - 212
  48. X amle
  49. ()m)
  50. m- 2
  51. n l -213 + X
  52. ma- am l+ 412
  53. 1 - 16 m lX 2 + am: X 2- 8m l2X2
  54. M+- Am l + 414
  55. (17) .. . . . . . . . . . . . 11: ~ - ab - ac py M4X - 4m L. X + 4 V+ X - 8m 2X + Bbm l X
  56. m = 4m (2 + 4(7
  57. sive + 4 (+ X 2 - 7m X2 + IL M T2 X 2
  58. X p n f. 2lf
  59. 4ml
  60. M4- 4m l + 414
  61. fiet: ut fractio praeveniatur, et fiet:
  62. X H m h = 2h. Atque ita valor ipsur X non
  63. habet alium divisorem quam unita
  64. 4mehi a mh r nih. ret 16n ti tAa t 2- 8 N Ch
  65. E 3
  66. = 16m el + am h= 8m P L
  67. mhi - 4m (k + 4(7 h (∞16 m te D = am h + 8m Ih
  68. +∞100) -.. .. +.
  69. Sive 7 m h + 12 m l’h + 41+ F
  70. Qui calculus cum ejusdem forme Numeros
  71. exhibeat cum priore, potuit omitti
  72. Restat ut inter scopulos nihilo-minorum enavigemus, sive
  73. m ita assumamus, ut omnes nuneriquaesiti fiant affirmatior.
  74. Caet
  75. 20n
  76. 4C
  77. de
  78. et
  79. ex
  80. 0
  81. Prubandi calculi causa,
  82. ponc M p 1. et X 1. tunc
  83. numerus Y. erit 12, secundi
  84. erit -20. tertius
  85. erit 9. Quorum
  86. summa L, nempe
  87. Quadratus; et summa
  88. quadratorum 625.
  89. quadrato quadratus
  90. 3
  91. ab
  92. (19) Ponatur
  93. (20)
  94. fn amh
  95. Regressus
  96. (21) Num. quaesitus 2..
  97. A
  98. (16) equatio sim plexquasita
  99. determinatio

Cite

Leibniz-Handschriften zur Mathematik LH 35, 3 A 16, fol. 15r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068229:0029?run=74