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Leibniz-Handschriften zur Mathematik LH 35, 15, 5, fol. 71v

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. 73r); this page is its left half.

The machine reads it as

  1. Denique cum ipsa Praxis docuerit, non opus esse ut integrae Columnarum Signatura
  2. operationibus applicentur, sufficit ea tantum excerpere quae in applicationem
  3. veniunt, ut ita orcatur Schema vicarium non lin se lrerum sed ad usum sufficiens
  4. ScnEMA ViCA RIUM.
  5. D) =0-29
  6. (O7) =D, 2CD
  7. 5 (66, =07- 200
  8. 6 (N) = 80 2076
  9. Y (80D) =∞D -20V
  10. 1-0001. 16088
  11. (0) - 4- 2GC
  12. 1o (8B)-8c 203G
  13. M (8OV= D8 2024
  14. 16 (8S= 40D 20057
  15. (158) 45 2078
  16. Additae quoque sunt Minimae Dimensiones ut sciatur, verb. gr. quod 85C ante
  17. Numerum rerum 13. id est ante Terdeniones non compareat, sed tancdui
  18. Q valeat Nihilum _ sic in aliis Ratio est quia 2 = 8 = 4 d 0 - 1. Suma 113
  19. a similis astimatio alcarum
  20. signaturarum erit
  21. L. Ubi autem primum occurrunt, ibi habent Coefficientem Unitatem
  22. Et quoniam supra jam calculavimus septeniones Octeniones et Noveniones
  23. jam quoque initialia ne desint complebomus
  24. Bonatur Unio
  25. Binio (() = -20, Fac. -2ab, (5) = ab per X
  26. Qvinio (() = -20. Tac +16 abede
  27. 200 =- Eabe) t rabed (0D) (. 20D rabu
  28. (0 - - 8abc.
  29. Linio 5(OD-- gabid
  30. 9 (7) =0354- 203624
  31. Binio -2, a, OD.
  32. Ternio +4 = 2. X.
  33. Semo 02 50D- 10 abcd
  34. Hac gabed
  35. () (. 203 - 45 abed) Facit Nihil( (∞)). (D- Tabid
  36. .200- 48abud) io clbus
  37. facit Habede. Quimo 80 = abcde per 8
  38. 553) - 580 100d Denio (0) - -70 ac. Mrabedes (31. 0 io abi ie
  39. 5. (35D9 -86D 2005
  40. Unio 5
  41. (Teppio CD - +abe per 8
  42. Ternio (0) = - 20 fac + 4abe (3) 0 = - Eabe nam -20D ex Binionibus collegi nequit
  43. Qvaternio (C) - - 20 Fuc - habed (3)
  44. Qvaternio 9 = abid per t.
  45. ∞ = 4 ab
  46. 2005=0 per ∞) Facit 110 abedef Senio C∞ (07 = - 6 abede) Facit
  47. abed et
  48. Colligantur itaque haec ordine in Tabellam; cujus i usum et continuatio
  49. nem quantum licuerit trademus
  50. usus Pnecieuus est pro Additione Dyadica excerpendo
  51. Lontenio ab 12. -4. 1. 50 abicaetisisomosus
  52. evinio + 16, 0. +10. -4 a. 8D,
  53. Senio - 32. - 4. - 20. +10. -6. n. 80D.
  54. Septenio +64 +8 +36. -20. +22. -6. A. &
  55. 9rabcdesuli tslint
  56. aeb abidefchitbane
  57. Octenio - 128. - 8. - 64. 434 - 64. +20, -8. 1. 2 as ens ta
  58. Novenio 4256, 6. 4 120. - 48. +167. -48. 436. - 8 n
  59. es
  60. D. columnas O
  61. +Sabiortghit
  62. intlmuos tralideasum
  63. ED iibisaledefahi Mibonnopus 6gabidet ghitibum
  64. Deno. . 512. 416,- 240, +48. - 372. 490 - 120 436,- 10. a.
  65. Undenio +1024. - 32. +496, 0. 4792 - 132. 4330. -120. +56. - 10. 807
  66. Buodenio - 2048. +32 - 1024, 164, - 1584 +132 -792 4350. 232, +54, - 12
  67. serdenio +4096. 0, +2080. 4560. +3904. 0. +1, 16. -792 +794 208,
  68. A128abeve fghitbum
  69. IVdenio. 8192. - 64 - 4160,1352-54]8- 428 -3432 + 1718- 2380. 620 -364 +78 - 14
  70. Vdenio 416384 +128 + 8256 +2704 +9544 + 1416 + 6436.343215426 1652+ 1366-364 1106 - 14
  71. VIdenio .32768. -128 - 16384- 4(16 - 1584-3318.- 11456. + 6, (37. 16384 13144 - 4384 +136-576 + 104
  72. Pro Additione igitur Dyadica, verbi gratia sex Notarum
  73. columne simplices OD etr: usque ad abidet excespuntur Notis propositis ea
  74. hummae supponutur suae columnae
  75. Ia addere poterimus Notas etiam incognitas, quotcunque etiam
  76. fuerint eadem terie qua Notas cognitas in scriptione Decadica addimus
  77. Pro Continuatione revocentur omnia ad Numenos Combina
  78. ordo quidam se
  79. 68 i ois
  80. d
  81. damu
  82. Tabutarq ebque 84 00 164
  83. 2 10 10 22 20 35 36 56 54 78 78 106 104 136 136
  84. 8 0 20 20 64 48 10 120 232 208 364 364 516
  85. comparatis Numeris coeficientibus
  86. ipsorum 3, d, OD, 6, etc. inter se
  87. et cum Tabula numerorum combi-
  88. natoriorum eruta est compositur
  89. communis ex combinatories
  90. et sic quaevis binae e binae Columnae
  91. uisdem Numeris utuntur, saltem
  92. mutedo signa + e=, ut in impari
  93. sigu hadem totum colligant in Pari au
  94. temoulo signa alternatia ejisdeea
  95. +bg abidetq
  96. 128 abidetus
  97. 425b abidetgiu
  98. tcorgabia t
  99. 0aB abceesu
  100. +40gb abede fghinen
  101. g abcousopiitu
  102. P276B abidet ghitionr
  103. st habi defghiblina
  104. 4 10 22 369
  105. 5612 14 20 22 11t 3063
  106. 6 20 41 72 110 1 210
  107. 14 a 20 38 454
  108. 48 208510
  109. 40 B6 308
  110. lies viophio lenus hatento
  111. 2. 10. 2d 35
  112. 5. G, 3 70. 126 40 = 3
  113. 6. 21. 56. 126. 253. 4b2
  114. 292. 1746. 3932
  115. 15. 495. 1287 3003 6435
  116. 20. 715. 2002. 5005. 11440.
  117. 11. 66. 286 1001. 3003, 8008. 19448-
  118. 24310, 46620
  119. (3758. 92375. 184756.
  120. 8. 364. 1365. 4368. 12376,31824 75562, 167960. 352716. 70592
  121. 1. 455.1820 6188. 18564. 50388, 125970, 293930. 6460+6, 185 2704156.
  122. 602380. 8568. 27137,97520 203490. 497420. 1144056 2r120030010400600
  123. 15. 126. 690,3060 162829760. 116200. 310770. 8(, 190. 19
  124. 1876. 15504. 54264. 170542 490311 13075 3660.
  125. e dd hos Numeros ita revocantur columme Oet D, e quidem hidem Numeris signa + alternando
  126. tes = +9 +84 H26 +36. +1
  127. 5( = - 10. - 120. -252=120 -
  128. 102C - Yu. + 165 +462 + 330 + 5
  129. 2c46 ~I2. 220 _ 92. 99B. 220
  130. +13. 4285 +287 +F116 +215 +76
  131. 14. - 359: 2502. 3432. 2002 - 35c
  132. +32 = +11 = 165+ 462 -330
  133. +1c. + 455. 13003., +6435 15005 41365 +105
  134. 18. - 3 40, +3 1410, 11448 - 430 - 560
  135. 26100. 2381460 d 426o 7 5E876 155 11952

Cite

Leibniz-Handschriften zur Mathematik LH 35, 15, 5, fol. 71v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068207:0142?run=74