Leibniz Legible

Machine transcription of the Leibniz Nachlass

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LBr. 705 · Overbeck, fol. 24v

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: 0.86.

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. 25r); this page is its left half.

The machine reads it as

  1. 13. 7. 1. 10, 17.
  2. 15
  3. occulti, ordine tales sunt, quales ad Marginem posui, Est autem in u
  4. noquoque Abaco Numerus Quadratus multitudinem membrorum numeras
  5. Observ. 1. Abacus 3V sedecim mebrorum bis repositus fuit in Cob .
  6. Idem quater repositus in Col: 36.
  7. Sic Abacus TB. 64 membrorum bis fuit repositus in Col. 31. t
  8. quater in Coluna 40.
  9. At Abacus IV erit bis repositus in Coluna 41 d quater in 50
  10. pro CANONC. Ergo si suma Notularum in Numero Colunae faciat B
  11. 18. b. 9. 0, d, 0, 0, 9, 0. 0, 0, 0, 0. 0. 0.
  12. 8. 1. L. 5. 4. 3, 6, 7, 8, 9, 10, 11, 12. 13, 14 15
  13. 0,2. 4. 6, 8. 10, 12. 14,0. 2. 46, 8, 10, 12. 14
  14. 0. 3. 6.9, 12, 15, 18, 21. 8, 11. 19. 17, 20, 23, 26,2
  15. D. 4. B. 12. 8, 4. 8. 12, 0. 4. 8. 12. 0, 4. 8. 12
  16. 0. 3. 10. 15. 4. 9, 14. 19, 8. 13, 18, 2312. 17, 222
  17. 0. 6. 12. 18, 8, 14 20, 20, 0, 6. 12. 18. 8. 14. 28. 26
  18. 0. 7. 14, 21. 12. 19, 26, 33, 8. 15, 22, 29, 20, 2734 41
  19. 1. 0. 8, 0. 8, 0. 8. 6. 3
  20. d. 9. 2. H. 4. 13, 6, 15. 8, 17. 10,19. 12. 21. 14., 23
  21. 0. 10. 4. 14, B, 18. 12. 23, 0, 10. 4. 14, 8, 18, 1222.
  22. 0. 11. 6. 17, 12. 23, 18, 29, 8. 19. 14. 25. 20, 31. 26. 37
  23. 0. 12: 8. 20, 0. 12, 6, 20,0, 12. 8, 20, 0. 12. 8,20.
  24. D. 13. 10. 23, 4. 17. 1427,. 8, 21. 18. 31. 12. 25, 22 35
  25. 8. 19. 12. 26, B, 22. 20. 34. 0. 14, 12. 26, 8, 22. 30, 34
  26. requiritur Abacus 16 mebroru. Si faciat 4. requiritur
  27. Abacus 64 membrorio si faciat 5. requiritur Abucus
  28. 256 membrorum
  29. seu pro 3. sut mebra 2 pro 4. mebra 2= pro 5, Mebra 22
  30. pro m. membra 22m- 2
  31. CA N 6N. Suma Notularum, unitate minuta expositive indicat quot me
  32. bra sint in latere Abari, et duplum hyjus valoris expositive indicat
  33. quot membra sint in toto Abaco Quadrato
  34. ut pro Coluna 71 sumo 7+1 =
  35. erut membra, et Z+ -d, 2
  36. in
  37. = 22 = 128. tot laterae Abaci
  38. 24 = 16384 mebra in toto Abaco
  39. Atque in Coluna si hic Abacus bis reponitur, in Col. 50, quater
  40. o. 15. 14. 29. 12. 2]. 1. 4. 8. 13. 2 37. 20. 35. 3449 CAN. 2.. Cum enim Numerus Colunae definit in 1. reponitur
  41. Abacus bis, cum vero rdefinit in o. reponitur quater
  42. I. PROB L. Locum in Abaco extra seriem sistere
  43. Sit in Abaco 1V, quaerendus Numerus loco ducentesimo sederimo ponendus
  44. mor
  45. Numerus Lateris est 16. quia 16 membra sut in latere Abaci
  46. Divido datum 216. per illud 16. et fit Qvotus 13. Residuum 8. et missa unitate 7
  47. evotum 13 discerpo in mebra bimalia 8. 4. 1. Hoc 7. ductum in evotum 13. facit 9) lnveti
  48. Residuum missa unitate 7. divido per hos Qootientes ordine missis residuis
  49. fit
  50. 2 = 3
  51. L=
  52. 16
  53. 16.
  54. ,=0. quia Resi dua milenda sut
  55. Posteriorum evotientium humma 3+1+0 fac. 4. Hoc multiplicetum Nu–
  56. mero Lateris 16;
  57. prodit 64, quod estab inventum primum 9i subtractum
  58. relinquit valorem quaesitum 91 : 64 = 27.
  59. Aliud Exemplu: Detitur locus Millesimus in Abaco cujus Latus habet 64 mebra
  60. 1000
  61. Nunerus Lateris 64) 644(15 Quotus est 15, Resid: 40, e missa Unitate 39
  62. lvetum 1. 585
  63. Subtr. 448
  64. Valor quresitus. 137
  65. 15 = 8 + 4 + 2- + 1
  66. Quotientes posteriores
  67. 39
  68. Et 7 per 64. fac.
  69. 64 = 8 64 = 16 64
  70. et +
  71. +
  72. 39(2 39f1. 39
  73. B
  74. 2
  75. 448 +0, Summa est
  76. P2OBL. 11. Invenire quamvis integram Lineam Abaci
  77. 0
  78. 39
  79. 55
  80. ut in NV quaetatur linea ordine 12ma Resolvo 13 in bimales 8. 4. 1. e per eos di
  81. vido Numerum Lateris 16.
  82. et pro 2 sumo Progressionem
  83. 0
  84. 1.
  85. Qvoti sunt 274. 16
  86. 0. 1. etc: n v leries A.
  87. pro 4. Sumo Progr. 3. 1. 2. 3. 0. 1. 2. 3. etc. . . a Perres B
  88. Pro 1b. sumo Progr.
  89. Prima
  90. 3. 1. 2. 3. 4. 5. 6. 7. 8. 9. 10, 11. 12. 13, 19. 15.C
  91. 6.
  92. 0. 8. 0. 8. 0. 8. v. 8.
  93. 0. 4. 8, 12. 0.
  94. 0. 1. 2. 3.
  95. q
  96. 4
  97. 12.
  98. 7.
  99. 0
  100. c
  101. Tuma trium earum Progres
  102. sionum est Linea quaesita
  103. sed omnium divisor comunis
  104. prius fiat 16. quen. famen
  105. finita operatione dimitermus
  106. 8
  107. 4
  108. e. 8
  109. 8. 12.
  110. 8. 9. 10 11. 12. 13. 14. 15.
  111. 0. 13. 10. 23. 4. 17. 14. 27. 8. 21. 18. 31. 12. 25, 22. 35. Lnea 13 Tabulae ,18
  112. et sic in aliis
  113. Secunda 0. 1. 2. 3,0. 1. 2. 2. et:
  114. lvarta 0. 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 15. 13. 14 15
  115. Tertia 3. 1. 2. 3. 4. 5. b. 7.
  116. Qvinta
  117. 0
  118. 51.
  119. 0. 0. 0, 0.c
  120. 0, 0
  121. 0.
  122. ld. 11
  123. 8 2
  124. 9.
  125. 10. 13
  126. .4. 10
  127. Abaci
  128. 9. 3. 2. 5
  129. umma
  130. Ordo Progressionu: o.1. 8. l. 6. 1.
  131. 505 nvetu primu

Cite

LBr. 705 · Overbeck, fol. 24v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/DE-611-HS-861255:0048?run=74