Leibniz Legible

Machine transcription of the Leibniz Nachlass

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LBr. 705 · Overbeck, fol. 24r

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: 0.88.

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. 25v); this page is its right half.

The machine reads it as

  1. Periodus Abstracta: 980+ 14 (02l2)2 O2l21222 (01) 4 (01), (12) 2011Z011201121223
  2. Adde 08 18
  3. O8
  4. 18
  5. Oy
  6. Oo
  7. Percodus. Correita 00l4Z4 (D212)2 12222232014 1212232301120112 1223233
  8. seu 08. 64 g. 1289. (02647) 264, 128, 128, 192, (0,64) 4(64, 128) 1128,193), (0,6464 125) iy, 12819
  9. divisum per 64
  10. ut addi possit Seriei ad Col: 2i invetae dimidia, unde ibi fit series per b4 divis
  11. Addatur Portio 1. 00000000
  12. Suma 0. 1. 4. 9. 16. 25. 36.49.
  13. Portio 2. 64. 64. 64 64. 128. 128. 12812.
  14. 0. 17, 36. 57.
  15. 16. 41. 68.9
  16. Suma 64 81. 100. 121. 144. 169, 196. 221
  17. Portio 3. 0. 0. 64. 64. 0. 0. b4. 64
  18. 0. 33. 4. 41. 16. 57, 36. 81.
  19. +. Portio 64 64 128. 128. 128. 128.192. 192
  20. Suma 0. 33,68. 105. 16, 57. 100 145 Suma bg. 113.16421 7. 144. 201 260. 321.
  21. Portio 5. 0. 64. 0. 64. 0. 64.
  22. Suma 0. 65
  23. 8. 1. 4.9. 16. 25. 36.49
  24. 0. 64
  25. 9. 16, 25. 36. 49
  26. 4. 73. 16 89. 36. 113
  27. Portio 7. 0. 64. 64. 128. 0. 64. 64. 128
  28. 0. 33. 4. 41. 16. 57 36. 81.
  29. Suma. 0. 97, 68. 169, 16. 121. 100. 209
  30. 0. 49, 36, 09. 16, 73, 68. 120
  31. Portio 6 64. 128. 69. 128, 128. 192. 128, 192
  32. 0. 17. 36. 57
  33. 16. 41. 68. 97.
  34. Suma 64. 145, 100. 185: 144. 233. 196. 289
  35. Port. 8. 64. l. 2B192 125, 9 192 296.
  36. 0. 49. 36. B9. 16. 32 68 129
  37. Suma 6q. 177. 169. 281. 194 265, 260 385.
  38. Scribantur jam inventae sumae in unum, binas portiones in una jungendo:
  39. A. Portio 1. 82. 1 0. 1. 4. 9, 16, 25, 36, 49. 64, 81. 100, 121. 149. 169, 196. 225
  40. B. Portio 3. _ 4. 0. 33. 68. 105. 16. 57, 100, 145, 64, 113. 164. 217. 199. 201. 260. 32
  41. Portio 5. e 6 0. 65. 4. 73. 16, 89. 36. 113. 64. 145, 100. 185. 144, 233, 196. 287
  42. D Portio 7. 8 8 0. 97. 68. 169. 16, 121. 100, 209, 64. 177. 164. 281. 144. 265 260. 38
  43. Et subtractis vadratis primae Lineae est A. 0. 0. 0. 0. 0, 0. b, v, 0. 0. 0. 0, 0. 0. 0
  44. . 0. 0
  45. 6. Pr. 64. 95.
  46. B. 0. 32. 64. 9b, 0. 32. 64. 96. 0. 32. 64, 96. 0. 32. 64.96
  47. C. 0. 64. 0. 64. 0. 64 0, 64. 0. 64. 0. 64. 0, 64. 0. 64
  48. D. 8. 96. 64. 160, 0. 96. 64. 160, 0. 96. 64. 160. 8. 96, 64. 160
  49. 95. 6+. 160. quater repositus
  50. et dividendo eu peu 32. fit
  51. Pro Col. 11
  52. qui est ipse Abacus quem signavimus 8. ad
  53. calculum Col: 21
  54. qui proinde Abueus hic est quater repositus.
  55. Notae fiut 2 in una portione seu Notae 16
  56. At Portiones 23 = 8.
  57. B. Port. 2. (04 l4) 2 (04, 1284. 126)
  58. (0212) 4. = (02 1287). 128
  59. (02121221)2 et su in aliius
  60. 2 1. 1. 1. 1.
  61. 4. 2.
  62. Ad ditio Portionum mebris per 128. multo
  63. plicatis ut addi possint dimidia praecedentium
  64. 0.0. 0. 0. 0. 0. 0. 8. 0. v. 0. 0. 0
  65. 0. 1. 4. 9, 16. 25. 36. 49. 64. 81. 100. 121. 144. 1(9, 196 22)
  66. 2, 0. 0. 0. 0. 128, 128.128. 128. 0. 0. 0. 0. 128, 128, 128. 12
  67. 3. 33. 69195. 16. 57. 100. 145. 64. 113. 164. 217, 144. 201. 260, 32
  68. 1. 2. 3. 4. 5. 6. 7. 5) Suma o. 33. 68.105. 144. 185. 328. 27 3. 64. 113, 164. 217. 272, 329, 368. 449
  69. sumae Portionum scorsim scriptae
  70. C. 0. 0. 128, 128, 0,0, 128, 128, 0,0, 128, 128, 0,0, 128, 128
  71. 0. 65. 4. 73. 16. 89, 36, 113. 64. 145, 100. 115, 144.233196. 249
  72. Suma. v. 65. 132. 201. 16. 89. 164. 241. 64. 145, 228, 313 144233. 324. 417
  73. D. 9. 0. 128. 128. 128,128. 256.256.0. 0. 128. 128. 128. 128. 256. 256.
  74. 0.97. 6B169, 16, 121. 100. 209. 64. 177.169, 281. 144. 265, 260. 385
  75. uma 6. 9y. 196297. 149. 249, 356465. 64. 177. 292. 409. 272. 393. 516. 641
  76. E. 0. 128. 0. 128. 0. 128, 0. 128, 9. 128, 0. 128. 0. 128, 0. 128
  77. 9. 16. 25. 36 49. 64. 64. 10 144. 199169, 196. 225
  78. Luma 0. 129, 4. 137 16. 153.36. 177.64. 209. 100. 249. 144. 397,196. 353
  79. f. 0. 128, 0. 125, 128, 256. 128. 256, 9. 128. 9. 128, 128. 256, 128. 256
  80. 0. 33, 68, 105, 16. 57, 100. 145, 64 113,169217. 144. 201. 260. 321
  81. una 016168233, 144. 313, 228, 40 1.64. 241 164, 345. 272. 457. 388.577
  82. G. 0, 128, 128, 25b, 0, 128, 128256, 0, 128, 129, 2560 128, 12825
  83. 0. 65. 4. 73. 16, 89, 36, 113, 64, 195, 100, 1817149 23319620
  84. Juna 0, 193, 132, 329 16, 217, 164, 36964, 273, 226, 441, 144 361 224, 54
  85. S1. 8. 1. 3. 1c6. 25b, 128, 256, 256394, 0, 128, 128, 256, 128, 256, 256, 384
  86. V. 97. 68. 169, 16, 121, 100, 209,64, 177, 164, 281, 144, 265, 260, 28-
  87. Tuma v, 25, 1963425, 149, 377, 356, 593 64, 305, 292, 537, 272, 521, 516, 769
  88. Pro Col: 30
  89. Catal. Notarum
  90. 0. 2. 3. 3, 4. 4. 4.
  91. Portio 1. O
  92. Portio 2. 0+. 14
  93. Port. 3. (0212)2
  94. Port. 4. 02121222
  95. Port. 5. (O1) q
  96. Port. 6 (01) 2 (12)2
  97. Port. 7. (0112)2
  98. Port. B 0121223
  99. Catal. Portionu
  100. 8. 1. 2. 2. 4. 4. 4
  101. evotientes
  102. 1. 2. 3. 4. 5. 6.
  103. e siti ta peire er
  104. Id est Abacus
  105. Catal. Notaru
  106. 0. 1. 2. 7, 4. 4. 4
  107. A. Portio 1. est 016
  108. Fort: 3.
  109. D. Port: 4
  110. E. Portio 5. (01)8
  111. G. Portio 7. (∞112
  112. A. Partio 8. (b1121223)2
  113. F Portio 6. (01 = (12) (01), (12)2
  114. Catal. Portionum
  115. 0. 1. 2. 2. 4. 4
  116. 18 septoitu
  117. 128192
  118. Quotientes
  119. A. 9. 1. 4. 9. 10, 25, 36, 49, 64, 81. 100, 121, 144, 16919622;,
  120. B. 0. 33. 68, 105, 144, 185, 228, 273, 64, 113, 164, 217, 272, 329, 385949
  121. C. 0, 65, 132, 201, 16, 89, 164, 241, 64, 145, 228, 313, 144, 233, 32
  122. P. 0,97. 196 297, 149, 249, 356, 465, 69, 177, 292, 409, 272, 393,516, 64
  123. E,0, 129, 4, 137, 16, 153, 36, 177,69, 209, 100, 249, 144, 297,196 352
  124. 7, 0, 161, 68, 233, 144, 313, 228, 401, 64, 241, 164, 345, 272, 457, 388 596,
  125. G. 0, 193, 132, 329, 16, 217, 104, 369, 64, 273, 228, 44), 144, 361, 224595
  126. H. 6, 225, 196, 425, 144, 377, 356, 593, 64, 305, 292, 537, 272, 521,516, 769
  127. Et subductis evadratis Lineae A
  128. .
  129. 3. 0, 32. 64.96, 128, 160192, 224
  130. erit
  131. C, 0. 64. 128192. 0. 69. 128. 192. Et divisis mebris P32.
  132. D. 0. 96, 194288, 128. 24. 320. 416.
  133. C,0. 128, 0. 128. 0. 128,0, 128.
  134. F. 0. 160, 64, 224. 12B 286. 192. 3,2
  135. 1. 0. 0
  136. 2. 4
  137. 10, 13
  138. .4. 0. g. Hic Abacus vocetur Occultus, quia labet in omnibus in
  139. 9. 6. 11.
  140. 0. 2. 4. b
  141. 3. 6
  142. 5. 2
  143. 0. 6. 4. 10
  144. valoribus Membroru ad dictam Methodu quaegitorum
  145. 7. 6. 13. 4. 11, 10. 17. et, si Abacus alip via brevius eruis possit extra setienu
  146. abacus bis reponendus ejus membris hoc loco per 32) multiplicatis titum quod investigo obtinuo
  147. fit 0. 0. 0. 0.
  148. . 0. 192, 128. 320. 1. 152. 125, 320
  149. 0. 6. 4. 10.

Cite

LBr. 705 · Overbeck, fol. 24r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/DE-611-HS-861255:0047?run=74