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Leibniz-Handschriften zur Mathematik LH 35, 3 B 11, fol. 22v

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: 0.82.

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The machine reads it as

  1. Utile credo erit adhibere Canonem
  2. generalem divisionis à me deter.
  3. minatum; qui prius mutandus
  4. in inversum inde applicanda
  5. additio lgadica, sed servata lege
  6. homogencorum, etsi enim
  7. sit bb = b in dyadicis, hoc
  8. tamen initio dissimulandum
  9. Et quia sanon divisconis a me
  10. datus est secundum divisionem
  11. vulgarem, ubi possunt residui,
  12. fiat et canon inversus qui
  13. solum locum habet pro divisione
  14. Sine residuo succedente, appliceturque
  15. etiam ad dyadica. Et comparando
  16. binos canones invicem prodibunt fortasse
  17. Compendia. Utilis consideratio de
  18. conservanda in dyadicis lege homogenectum
  19. Egregium, quod apulliata canont generali ad
  20. casum praesentem, ubi omnes divisoris nole
  21. dividendo sunt aquales interse et unitate
  22. hoanescunt pb legen femogeneor
  23. si posset illic lex numerorum haberi spes
  24. esset successus etsi non fieres additio
  25. euadica
  26. deberet enim succedere tan-
  27. dem destructio
  28. Videndum an extractio jadicum feri
  29. possit inverso modo saltem ni dyadics
  30. eoent fortesse etium solvi priblemala
  31. Rolum
  32. gundiulur et similia sine
  33. additione hyporea, quia
  34. ed C b+
  35. e
  36. in apactis succedere tandem
  37. rehet extractio, ne sit opusfiumpraeter
  38. 1
  39. assumtas seu quae cila
  40. ictas, quae sunt ovel 1, sumere alias quae
  41. da
  42. non smultales ad vilandam illam additionem
  43. Pre
  44. E
  45. tEdee
  46. +VB EdB
  47. Ea
  48. ed
  49. 3=0
  50. 1-2 + 2
  51. C AItaB al
  52. B- ab
  53. 0
  54. e+1B
  55. 1- 21B
  56. it 1CB+ BdCB fit d =1
  57. e
  58. Non dum adhibita est consideratio
  59. quod b est 0 et c est _B et
  60. Bt B n Rest 8 et daet
  61. -P.
  62. is
  63. B +b 2lβ- 8
  64. +BSc
  65. canon extractionis quidra
  66. torum cuborum aut Biquadrulom
  67. quaeritur generaliter sum etrom
  68. pro non duadicis, ut Canon divisio
  69. nis.
  70. at comparationes et destrncti
  71. nes institui possuit
  72. 20+21XL Z2XX + 23 X+ 2 X
  73. 26FEyX+XXt3+2.24X + 2.25. X + 22026X +222 X+ 220 29X
  74. 20+ ax +n Xx + B X+2X
  75. 2. 23
  76. 2. 21.
  77. 5u
  78. 2nn
  79. 2. 23.24
  80. 2. 22b
  81. 14. 24
  82. P +HXHLXL BX L 14X + BX +16X + 17X + 184
  83. ex canone divistonis potest fieri
  84. Canon Extractionis quadraticae,
  85. si ponantur aequales divisor,
  86. +1. 2t_AR + 24.2 X + 2, 21. 23X
  87. quotiens, et edanescant residuus
  88. 2020 -10
  89. 21 - 1 22 = 2 0
  90. 23 = 13 - 2. 21. 22
  91. 24 - 14 2. 21 25- 1. 22. 21
  92. 25- 15 vel 10 =20. 20
  93. 2.20. 2 = 11 2. 20. 22 = 12 - 21. 21 8. 2021 = 4. 20. 12- 4, 20. 20. 21. 21 11= 2. 20. 21
  94. J. H1. 12= 22022 +1. 2121
  95. Ergo 8. 28. 24 = 4. 26. 12 - 11. 11 2 20. 23 = 13 221. 22 Haut
  96. 2.4. ZC multiplicetur per 20 et per 8. 20. id est per 8. 202 firt. patio
  97. 2. 20. 24 = 14 = 2.21. 23 - 1. 22. 22 multiplicetur ob 22 22 per 64, 20 ob 21. 23 per. 2. 21. 23 per 16.20
  98. 16. 20223 = 8.20313-16. 20.11, et fial 16, 20. 23 = 8. 28.13- 4. 20311.12 + 113
  99. ermo sussicit multiglicatio per 64. 206. Et prodit 128. 20724 =64. 205.14 64 2 220. 8. 20582. 21. 23.-(4, 206. 24 22
  100. milati fiat 21 = 00. 11 22 = 00. 12 - 2 8. 28 11 - 4. 2. 1. 2+15 -1 6. 202 - 113. 8. 20. 11. 12
  101. et fict. 128. 20. 24 = 64, 20.14 =16. 2011 +8
  102. 1.00. . 08. 00. 1. 11
  103. 082 (i. 12 20 + d6. 1 24 = 00. 14 - 2 91. 2 222c
  104. 2
  105. re aer
  106. 24. - 0 6r. 14. 25 64. c5. 14 20 - 34. co . 1. 13 B, 60. 15. 1 20 00t. 1+ = 16. 00. 12. 20 + 8. 08 1. 120 - 602 11
  107. supplendae legis homogeneom causa alhibeatur
  108. e
  109. 20
  110. ut divisiones vel extractiones, sint iractae duplici modo obtinemus, uno cum residua evanescunt; alter um et ita tot sunt
  111. 128. 20
  112. praestat meo sanone divisione uti, eumue hac transterre
  113. d de bini canones naus divisionrs prorsan, alter
  114. dem prdire debent quotientes. Generalitem austitur
  115. destnctorie aquationes, quol notae in drasor ad summan. Altero
  116. potea ista ductum sunetium comparatio 1. Sadendu Hic plares prodtunt aequationes quam necesse est, quad videtur itilead nova
  117. uni plures utrobim enim
  118. divisionis petrorsum comparentur inter
  119. theoremata

Cite

Leibniz-Handschriften zur Mathematik LH 35, 3 B 11, fol. 22v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068261:0044?run=74