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Leibniz-Handschriften zur Mathematik LH 35, 13, 2a, fol. 35r

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: 0.84.

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The machine reads it as

  1. o= 120WOC H02 WI + IncoI + 110 ( + 101 2 + 100na ea
  2. 0Z 240Co + 204 + 231 Co hp + 21312 + 222Coco Y + 210C0C + 202p ( +21 7 240C0, 201a 2
  3. oincul
  4. quaeritur earum divisor communis (9310ld + 3012] + 300 a, multiplicandus per 510cd + 501H + 500a ut fiat eu
  5. ut fiat et
  6. nident unda
  7. et multiplicandus per 630c0 +603 13 +621coco + 612co lpi +662oCcd, boa ian Pbionao orates loca
  8. tieu
  9. Ex 3 multiplicata sit = 310. ococo F 3501 i + 310. 50rCoep + 310. 500 ali + 301. 500 a + 300. 500 aa
  10. 300.501 a
  11. 301. 510..
  12. 5∞= 100 Hanc coincidenti a aequationi 1. fiet
  13. 3580. 510 acb
  14. Ergo ex co l fiet 00. 111 = 310. 0. 102 : 301 +301. 0. 120: 310, sun (B0) M. 310. 301 = (10) 132. 310. 340. +60) 20. 301 201
  15. 510 = 00. 120:310 501 = 00. 102: 301 500 = ∞. 100: 300
  16. Ex aco fiat 00. 110 = 310. 00. 100: 309, + 300. 00. 120. 31 seu 3r gea 10. 310. 300 = 100. 310. 310. = 120. 300, 300
  17. Eodem modo ex ai fiet 101. 301. 300 = 100.301. 301 4 102. 300. 300 Ha tres aequationes novissimae
  18. dant prima 310: 301
  19. secunda 310: 300 tertia 301: 300 Ergo bis datur 310: 301
  20. seu iatur aliqua relatio inter terminos aequationis datae
  21. 310 - 111 310 + X 111. 11I U1. 111 = -
  22. 4. 14. 101
  23. 410L102
  24. 120
  25. 102
  26. 10L 301
  27. Ergo 310. = CibC ( 111 + LCM. 111 = 4. 120. 102)
  28. ot
  29. 301
  30. Pari jure 310 =
  31. 300
  32. Ergo itorum habetur
  33. Et pari jure firt
  34. 02
  35. 110 + V(110. 110- 4. 120. 100)
  36. 310
  37. 301
  38. s
  39. 3
  40. 2. 100
  41. 301
  42. 300
  43. 10 + Y (110. 110- 4. 120. 100)
  44. 101. + s (101. 101- 4. 102.100)
  45. 301 =
  46. 310
  47. 2. 110
  48. :1I
  49. 111. 1H = 4. 120. 102
  50. 4. 102. 102
  51. 101 + Y (101. 101 - 4. 102. 100)
  52. 2
  53. .t
  54. 11I + Y Cusi1 = 4. 120. 102) =
  55. 111 + YC 11I= 4. 120. 102)
  56. 2. 102
  57. 11 VCuI = 4. 120. 102)
  58. 2.110
  59. ser MI et ent uae quatioidentiea
  60. nam ila fitis
  61. 11I + Y(C1 c - 4. 120. 102)
  62. Aliter ex 10g6 et 7 aq. 6 et 7 fist (+120. 102. 300. 300) + 100. 102. 310. 310 - 14 102. 310. 3002-
  63. -120, 102. 300. 300)
  64. = 100, 120. 301. 301 + 101. 120. 301. 300
  65. Ergo
  66. 2. 102
  67. et firt 300 = 100. 102. 310. 310 - 100.10. ∞ (301, :, 110. 102. 310 - 101. 120. 30)
  68. Hutr ex oq. 6 et 7 fiet 10 120. 301. 301. 300. 300 = 301. 301. 10. 310. 300 (= 301. 301 100. 310. 31C
  69. = 102. 310. 310. 300.300 + 310. 310, 101.301, 300 (310. 310, 100. 301.30
  70. et fcet 200- 310.301, 110. 3+0, 50r. 301 = 101. 310.310304, : 120. 301. 301 = 102. 310. 310
  71. 110. 301 = 101. 310, 110. 102. 380 - 101, 120. 301
  72. pit = 100, qu (103. 310. 30 - 10. 201. 301) = 310. 301, 110 101 31 tot 120. 301
  73. seu-100. 1 Hoc aequatio conjungenda est cum aequatione ita, ut tollatur 310, 301
  74. Alia methodus in aequatione 1. substituatur valor ipsius a, ex aeq. 3. debet oriri aequatio identria
  75. Multiplicetur aeq. 1. per 300. 300 fiat +120. 300. 300c + 111. 300 300 col. + 110300 20 aco + 100. 300. 300 aca
  76. +192. 300. 300 V
  77. -300a = 3loco +301 C et 300. 300 aa = 310. 310Cdcd + 2. 310 301005. et habebimus:
  78. +120.30d Cdlo + 112. 305 + 111. 30023V.0. quae aequatio debet esse identica
  79. 201.301
  80. odis
  81. 110. 300. 301c0
  82. 00. 2 10c0 V
  83. 101. 300. 300a
  84. 310.310 = 110 300. 310 + 110. 119 300 = 300,110
  85. 4100. 100
  86. 4. 100. 120
  87. 4. 100. 100
  88. seu 310 = 300, 110. + ( 110. 110 - 4. 100. 120)
  89. 10
  90. 110 -30l+ 1n. 300 - 2. 1,0. 11∞ 301. 300
  91. ex co fit 31 210.200 = 110. 301 - 111. 300, : 2100. 301 - 101. 300 et 310, 3002 4. 100 301 + 101 2 300 - 4. 100.101. 101 30
  92. 4100. 316. 3lawsas 4, 301t3o1 Y H + 2. HD. 30301cs Y
  93. .100
  94. Et pari in 301 = 300, 101 + Y (101. 101 = 4. 100. 102
  95. + 120. 4. 100.301 + 120. 101. 30 22. 7. 108.10157
  96. 1td. 116. 301+ 10. 11I 200 = 2, 1. 110. 111. 301. 200.
  97. et (100 E10. 310 - 110. 318 4 120 = - 11(. 1D. 3012 100, 301 = 110, 100. 301. 101. 300. 10. M 30012 1o 30
  98. . 100
  99. ∞. 300
  100. = 110 111. 300. 2. 100381- + 118. 111300. 101. 300

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2a, fol. 35r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068197:0069?run=74