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Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 340r

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. 341v); this page is its right half.

The machine reads it as

  1. sin fii pagine
  2. olantus usus osides
  3. praevideri potnt caleutum runque non succede
  4. X + aakX + b = quadrato C sit X = sion su Y Y2oVYE + S3oVHI
  5. seu opendio X= I + 13+ 16. Sit fomaula quadhanda 12(hq + B 1E6 + 23a 2,8 + 000B+ NI = C.
  6. tiet es- igo 10. 20V 2. 130. X30B At 24
  7. 2. 900, EoV
  8. 2301. 20.30. 2,30.296. 3D
  9. 00d 600.. 2, 0g 120
  10. 120, 10. 21 V.
  11. 2.19 210. 20B A 2. 120. 130. 1oV 12E
  12. sit oi
  13. Sit t = 10v + 1
  14. c = 1t2 + 146.
  15. 2. 000, 230V
  16. 2 120, 130. 1
  17. 2. 000. 23a
  18. 2 (2) 20v + 21
  19. 6 = 30 V + 31
  20. O = 14 Htrmob 8 = 160 16
  21. Es D = 50 LH8 + 70V+I sit XX + Aba = 00D
  22. GB ru gotbi ai guat eto XX + A C= D8G: P Ex 8 explicalo fit a+ 22 15 intrdd 24ost. B
  23. t) = 10rovr ao ebr vut B
  24. 2B = 20 3o vv, 10 11 V. + 231
  25. 00- a0 qe trirt e lib
  26. 1BD . 43.7. B + 10140 50V
  27. 1. Ho 70b 30. sAo. So V
  28. i ng io sis ode (H6
  29. u s
  30. 2. H. 3. 10. 340. 50 p
  31. 2. 50290 3 40 G6 30 b (. 2 110340 1 G6
  32. 6010. 20VV + b 20V
  33. 00. 20. 30..
  34. Geb - 115. abtriptro so (B0. 20. 21 V
  35. 2.001. 130
  36. a
  37. seu explicando
  38. (t6 B 1070. 140 vD + 10. 50. 10. v7
  39. 30.70. 3901
  40. 2103052. 140. 340..
  41. 11. 70. 1e 140 v
  42. 31.70. 340
  43. 10. 71. 140.
  44. 30. 71.340
  45. 2. 10.34. 50.403)9.
  46. 3. 11. 30 50. 140 740.
  47. U1. 71. 145. v.
  48. 31. 71. 348.
  49. 2. H1. 31.50.190. 340.
  50. 2.70. 140.340.
  51. 27]. 140. 340. V
  52. ubi comparabimus primum
  53. irrationales, inque eam rem
  54. adhibebimus 140 et 143,
  55. quippe in aeq. 9 explicanda
  56. non recursuras
  57. 4110a+190b4100
  58. Reducitur res ad hanc fauam ob tu ab
  59. et 220 a + 202b + 21 ab + 2104 201 b +200 0. jam ex
  60. sin a, et b siuit 140 - et 340, desunt 110, 101, 210, 201, unde prodit aequatio
  61. + 100. 100. 230. 220 X
  62. f 1. 120, 120, 200. 200
  63. = 2. l00. 10. 290. 102
  64. jam 120 _ 102
  65. +2.190. 102. 220. 220 bb X + 1. 102. 102. 230. 220 b (14
  66. + 2, 120, 120 200, 202
  67. + 1. 100. 120. 211. 211
  68. + 1. 111. 11I. 200. 22
  69. - 1. 100. 111. 211, 220
  70. = 1, 111. 120. 200, 211
  71. ( 2. 102. 120, 200. +20
  72. 2. 100, 120. 292. 220
  73. 11 110 10)
  74. Spisinl 1050 n D 30. 50 5 (2. 70
  75. + 1. 120, 120, 202. 202
  76. =2. 102. 120, 202. 210
  77. 4. 1. 11I. 111.. 202. 240
  78. + 1. 102. 120. 211. 211
  79. = 1. 11I. 102, 211. 220
  80. = 1. 111. 120. 211. 202
  81. 220, 202 211 210 201 280
  82. avso 3Iso 1 osstrmatu terminus itta
  83. 100. 220 - 120. 200 = - 2. 11 2050b0 + 2. 410. 21.50b0. quod si hoc ponamus =0 fie
  84. oy. 2
  85. 11. 20. Sed
  86. et praeserretur
  87. Eoc non placet, quia ita et _ 2 revera quoad inefinito non se ab o
  88. praestatentare, au licual tollere terminum (t. Nam maxipus etu
  89. ubi et C
  90. foirt et 102. 420- 470. 20 = IL. H WX CCe - 11I, 11I. 202. 220 102. 120 211. 211 4 111. 102. 211. 220 + 111. 120. 2111. 202
  91. Si abessent 1I et 211, id est si 70 et 71 essent 0. fienet
  92. MI: mH . 1 = n BV1. 211 4 p.11I 2u Ex aq uafica, D = (s ivomo-MeND + 2100. 1o2. 220. 220 b + (2 (,oL. VOn NOnOE b
  93. +2. 120, 120. 200. 202
  94. noGA
  95. 10229- (26. 262
  96. 100. 12
  97. + in 102. 420, ut. 1H + n. 102., 20. 21. 211 F p. 102120, (11 211
  98. = m 120. 202. 1I. M = n. 120. 22,. 21. 21 = p. 120 202. H. 21 et feiet posset deprimi aequata, fiereta
  99. 100- 100. 220 -1
  100. 102. 220 = 120. 202
  101. +100. 102. 210. 220 = 102. 120, 300, 22D
  102. +120. 120. 200. 202 = 100.120, 201. 230
  103. Non debet autem s haberi
  104. +100.220 102. td bb = 0 pure rationalite, seu
  105. = 120.200 = o. 202 l-.
  106. xoinciderent B
  107. se quadratorum (vel sattem quimdato Nane
  108. parationes ad eodem prodeunt put 140
  109. Caeteruum dubito adhuc, an sit consultum omitee
  110. peculiau peculiari his seo culo
  111. qui
  112. lo opamute aquec ue upentes es
  113. parte rationali, cum Bodlatibus ex rationali. Praterea mimiuns
  114. sed operae pretium ait aequaves efficiendas distuncte describere.
  115. sen 1e0 vel 340 plioqui 100 ut 36

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 340r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068196:0675?run=74