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Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 79v

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: 0.76.

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The machine reads it as

  1. Divisiones non semper procupari possunt explicando
  2. Datur 1oyy + 11 ay +12 aa ofiat y = 30 v r41a mita ut explicatione facta fiat C= .. v+. a
  3. O= 25y +21 a
  4. iomm + a mn+ 12nn,: un
  5. 21M + 21 n, n
  6. 40v + 4 a n
  7. + 11. 30. G0 vp + 1. BB. 8B qp a + 11. 31. 41 aa 7 :,, + 20408+20. 31 a, 4ov + 41a
  8. + 10. 30, 30VV + 2. 10. 30. 31V + 10. 31. 31 aa
  9. + 1. 11. 21. 40aV
  10. 21. 40V + 21. 41a
  11. compendio fiet 60vV +61 av +62 aa dividendum per D + SIa, posito 60 = 10. 30. 30 + H1. 30 40 +12.40.40
  12. + 12. 40. 40vv. + 2. 12. 40. 41 av + 12. 41. H av
  13. et posito 5t 20. 50b. + 20 H4., 2t 44. 51 = 20. 31 f 21. 41 = L
  14. 62 = 2. 10. 3031 + 11. 30. 41. + I.31,40+2.12.4
  15. 62 = 10. 3p. 31 + 11. 31. 41 + 12. 41. 41
  16. 20. 90 + 2(. 40 60 51. 51 = 61. 51 + 62 =0. Htaac ergo aequationem
  17. expliscanda fiet seu 6opp = 61 pq + 62 qq = Htanc ergo aequitionem explicando, fit
  18. Copsit (ll. 30. 40
  19. (2. 46.40..... .
  20. +(10.30.90)2. 20. 31. 31. 41 = 19. 30. 30. 21. 21. 41. 4)
  21. 11. 30.40.. . . . . . .
  22. (124040) ....
  23. i
  24. bru fr. 10, 25. 20. 39. 30, 313 L.II. 202830. 30. P1. 4)
  25. un C. 10. 20. 21.40. G)(= 11. 20.21,30.40)....
  26. ( J. R. 2020. 24. 46) - ( 710. 20 21,20. 7) a. 1.
  27. 9. 10. 21. 21. 344.-
  28. l. I1. 20. _,40 d 2
  29. s
  30. 13 F10. 26 30
  31. 20, =. 3b. 41
  32. Cxt, 1. 21. 2). 90.40
  33. = L 12. 25. 2H ZP. 40
  34. ( 12. V. 21, 4
  35. es
  36. l 40.40)
  37. =D. 21. 9v. 3v E+ 1G
  38. ( 11212. 300)..
  39. (-. 2. 12 l. 301407.
  40. 2 C 21.21.4010
  41. 31,31 +. p 25. 3ot Y Z1_+ 12 c20. 30. 41.
  42. E. B. 202304)
  43. Ht
  44. 1
  45. ul
  46. (li 7 261 2130
  47. 10 + 21.2.40, 40= 1, (1. 1. 21. 46)-
  48. (2. 17, 20 =2v3o4St..
  49. ....
  50. (13
  51. 2121. 9949, 1.
  52. det
  53. L 18. =1. 2 1 .s 131. 31.40, 40 - 2. 10. 2.2]. 30. 3140. 9) + 10)21 21 315.34+ 4,
  54. = 11 29. 21
  55. T12, 20.20
  56. -
  57. + 2. 11. 20. 21 .. . . - = 1(20.21.=
  58. 2, 12, 2020... .. +725 2. 201.
  59. quae aeqn tio puducitur ex S qu (31. 40 - 30, 41) in 10 212) - 11. 20. 21 + 12) 20. 20, sed
  60. heutrum nihilo aequare permissum est
  61. Et travideri haec poterant, nam idem est ac si vel i5
  62. 30431a,: 40b + 41a, fit + 30Y + 31aa
  63. y + b, y+C
  64. au Cord vi.
  65. otest ips
  66. ytb 40bP + 41ba
  67. lu
  68. 1
  69. +C
  70. 40 v ut 41a
  71. fieri
  72. c
  73. s
  74. datis y + b et g + et facierdo y-
  75. 30aD + 31 aa
  76. 10 cD f+ac
  77. 40v+41a
  78. deberet est 3ia + 41 b
  79. 30 B +40b
  80. 30 a + 40c
  81. 31 a + 415
  82. 6
  83. e
  84. seu 50- 3Iaa, + 30. 4nC 40. 31 ab f (. 4ibc = 3B. 21 - buc
  85. = 30. 2) ad F, 30. 4 ab + po b + (+8. 41bc)
  86. 40. 31 ac
  87. 40. 31
  88. ll.X
  89. . Sit _ = - 26 vn L 3 116 + Z2a c 40 ro +2 40. EcaY)
  90. et y + b _ qu(400 + 414.-- 39V∞ = DV + 31800 aV + 32. 00 a
  91. mun
  92. 30 et + 4 7
  93. ab p
  94. 2. 404) b
  95. 30a + 40
  96. 4l. 41 b
  97. B∞ t in F aM habut radiles vn + lB + : l =: H1 =am seu V + hilAl-am,
  98. sit v 31. 00- + 2. 40. 41) = Y C 3i. 31 00 00 f 4. 00. 31 . 40. 4( F 4 10. 40. 91. 4 ( 4. 33 00. 3.0cp 4. 30, 00 41. 4 ) ab )
  99. v +
  100. 4. 32.00. 40007 4. 40.00. 41. 41()
  101. Haec radix habet duos valores pront signum radiala est afforimativuum vel necalion. H duo valores sint l, n; arist afformativi posteriorueus
  102. 3oa +40b
  103. Eodem modo habebimus aliam duplicem ex y+ , tantum pro b subistituendo C. Iti duo valores sint B,
  104. Penique habebimus aliam duplicem ex yte tantum pro b substituendo C. Hi duo valores sint r,5.
  105. quod si efficere possimus, ut Im pus sit dinsibile per Y s, velutis. l Y, et q 5, habebitur desideratum
  106. ertque 00. 3la +2. 43 b + 1f 880. 31. 31aa + 4. 00. 31. 40. 91 ab + 4. 40. 40. 41. 41 bb)
  107. 400100. 30 hEla 4. 00. 30. 41. 41 al = 4. 00, 40. 4l. 41.
  108. 30 a + 40b
  109. +. 08. 00. 3140 ab
  110. et 0b. 31 a + 2. +a _C - ( (ut prius mutato b inc.. ..)
  111. 30 a + 4
  112. Hinc jam (ot
  113. in quo ontum vide quid ilste
  114. a +40
  115. idem debet esse adhue semel si conjungu C et e t pius b et e
  116. 10. 31a + 2. 40. 41 e + Y (00. 00. 3D. 31 aq + 4u. 3tto q ae foHC
  117. 400.00 30. 32.. 4. 00 30. H. 41 a (2 qeo 10
  118. 30a + 40e
  119. aquiv. 32. toac e
  120. ut Perius tuntum At C. 1 imatando in -. + C.-
  121. habere divisorem colmo aq debent habere divisorm. comm
  122. exq lx +am
  123. e
  124. oa . aet eA quadcali itd ut 1000 +Ct DEs. t dibilo. pe. 206 4 E. DC
  125. V+. 14
  126. p9 = 20. 20. 30. 31
  127. 20. 21. 31. 4C
  128. 20, 21. 30. 4
  129. (21. 21. 4041
  130. e
  131. 5
  132. e
  133. 24 aquadrat Epd

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 79v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068198:0158?run=74