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Leibniz-Handschriften zur Mathematik LH 35, 12, 2, fol. 207r

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: 0.83.

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. 206v); this page is its right half.

The machine reads it as

  1. Jam tentemus hoc quoque summare:
  2. tote
  3. 96.
  4. 6 10 15 21 28 36 45
  5. 8
  6. 10 11.
  7. e 19 26 34
  8. 6
  9. B. de Residuo a teulenti dutiso)
  10. 10 16 23
  11. 10
  12. 11
  13. Quadians foc non aeque facile alia remratione
  14. na 3bV+ Na 12 4 (2axq ua 1 40 aggrediamur. Ajo in summari posse
  15. aau nat a 24v hanc seriem:
  16. ratic. e
  17. 5
  18. 1
  19. e 7
  20. 25 1 20 27
  21. 35 et
  22. 91 11 H = 121
  23. Es 3. 14 a + 14B 40 B 8.6g
  24. Rsto agb- naa +b, a ib
  25. Ex his exemplis
  26. muni di colligo Theorema
  27. maximi momenti ad
  28. . Achalysun et omnem
  29. men asilsmetiet
  30. chanino Arithmeticam
  31. Guometriam.
  32. Radices quadratas
  33. dinsivicem addere (subtiotuas
  34. addantur quadrata
  35. Ergo si simmari posset siquens, hublemosummus etci ploducdum dupolicetu
  36. 2 18 25
  37. 8 9
  38. 33
  39. 10
  40. 42 1
  41. 12 18 25 33 4V
  42. 8 9 10
  43. 2
  44. 2.
  45. facile summaremus.
  46. serem est
  47. 34 58-64 + 22-4.
  48. A a + b + ab
  49. 2 2 5 2 etc. it patet nums ogressionis Geo
  50. Si esset
  51. 2
  52. 10
  53. 3
  54. 7
  55. 3669
  56. n L 12
  57. 10
  58. 5i
  59. 9 10 11) 12 4
  60. Quam ita summabimus:
  61. 6 8. 2 4
  62. B
  63. 20
  64. 64 10
  65. 10 12
  66. 64 100
  67. 2.
  68. Ergo summa: 4: 36. 64. 100
  69. Eodem modo altrum 8. 7
  70. aen
  71. prodrctum productum
  72. pu ab + Ba ed= Aq excedet
  73. a tnaxa
  74. Haec aequatio non
  75. vadralum
  76. differentiae.
  77. nisi arste nostra a surdis in garipotest. Ecce metlodi
  78. generalem purgandi omnem aequationem a numdrs
  79. urdis terro u Non ae crrvi sei nuluus es
  80. Cum in nnfinilum facta supponatur
  81. subdiorsio uit refert 48 pro 49. disfe
  82. Eunt enim non nis puncto, id est nihilo
  83. 35 Eetas -2
  84. 5.
  85. 16
  86. Fi 3381.
  87. hoc verum sgon est, nisi
  88. quando pedices sunt
  89. rationem reperire. Quadcancius ad fa ut
  90. circuli quadraturam. Nota isti Numeri
  91. differenta autem inter praecetentem e hanc 13. 14. 48t. 49. ete sigrifrcant lineas. Et
  92. ex.
  93. dias
  94. quod ad usum calculi. Si quis ergo
  95. reperta est Hemusphaerii ad Xa. haberemus
  96. in 14 pa 4. significat lincams estnumerus
  97. Alia focu transpositio potest hoc medo:
  98. stantum opus est reperiri methonu
  99. ista summandi:
  100. Ra 1B, 49- 36- 13
  101. R4 24
  102. 33
  103. R44
  104. R45
  105. Rq
  106. 10 12
  107. 100 12
  108. Qui rationem summandi
  109. eg 4g
  110. repecerit, universalem is nobis
  111. uadraturam (irculi exhibuent

Cite

Leibniz-Handschriften zur Mathematik LH 35, 12, 2, fol. 207r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068195:0413?run=74