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Leibniz-Handschriften zur Mathematik LH 35, 13, 2c, fol. 190v

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.

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. 191r); this page is its left half.

The machine reads it as

  1. se
  2. bx sit
  3. ob c
  4. ate vorua e iolru es s teta
  5. sit Formula x ex aequanda quadrato ixx fit aux tiba ac = x seu ax + b + accx = bob
  6. a
  7. aa X = qd Maut Aro Sarrua, sobrsia et d aproft2 + fil uo mrtbani vnraninnda ndpsm Gb
  8. -320. 30. 20V + 320. 30. 2iV +318. 31 31
  9. - 1av+ 240. 41 Bv+ ai.
  10. )13o Woigarys on a v 130. 131a
  11. 1 = p b 18 s) a . 11o. u. 31 a + ac40 av + à c 4 14
  12. adi aaap uta
  13. +130..
  14. -130 ac
  15. forte ulitius erit, e brevius favere 40 = 0 et 41 = 0
  16. 312
  17. stit
  18. facious
  19. aE
  20. et at = 10 et aX+ abx + a a ct = WVXX seu a Xx + abx+ ac = vox vel ax + ab + ac: x v,
  21. pax quav 4a +130
  22. Jam video eere x ut D X = 120 14 + 120 13B 4 230 1 +.
  23. at E lovana ot a4 = 200+ 2ta et adt = 3ovtsia
  24. etc
  25. D) nost+ + 3eo 1B
  26. et ax ina l 1b, Y V-
  27. et
  28. ax +abX + a CX = quadrato seu ax + ab + aac : x = sit al = 1ov+na ar hovtua ad = hotia
  29. sed pulo rem nos siet brevius consequi posse
  30. c
  31. aX= 10 1460C = no hhy + 3084, A6 o et exagu. 2 per sequentes fiet
  32. a
  33. ll.1302. 10 90V + 136. 1. 4 a B + 10. 1. 31a + 130 ab t6 = = 4 - 110. fo. 4d. Lto. d Hd
  34. 1. 204
  35. + 135 ac..
  36. Sed vider rem ob hoc solum. non smecedere quod non datur utrobique v sE6
  37. a
  38. 130 145 10 96 + ab Y(8 r aac, : B0 (46. = 1oae t 4 f3roaa 22, + 2. 10 uona 2y 14, .t6
  39. Anergo sic X = a 1t 2 4 320 +2 +eo t 3 +
  40. seu 130 h6 +E6 + ab h6 = 130. 120 a + 220. 13 pa S2 + 130. 11030aa 24 t8
  41. an 13046 a 135h5 + sb 13 1h6 + aac
  42. pax = H 4 ~ 130 136 aX = 46v + 3. 404. 1o t6 + 3,. 4V 1h0 axx- 40 av 4
  43. aac h
  44. et fat Vaex +abx t acx = a cola
  45. 40 a v + 3. 40 d. 1∞ t 3040 v 156
  46. abq0 a b 130 t
  47. aC 40V
  48. a130f6
  49. 2. 40ab130.
  50. + ac 130..
  51. a130,
  52. = 136. t6
  53. e
  54. ax = 40’a V + 3. 40av 130 f6 + 3. 40a130 148 +
  55. quato
  56. abx = 4 ab 4oc b + ab. 130 G6
  57. + 2. a b. 3o L6
  58. + ac 130
  59. 2. 40a 10V
  60. 130. 6.
  61. sit jam aco = 8sh2 + Z ii6 tit acoco = a 2 + 2a 22,t C
  62. aCX = aec 40ab + a
  63. (ponmised video E et deber esse stantes, atque adeo pro
  64. 26 debere
  65. aatet hinc eoanescere debere D in priore formula, temque vo 1t6
  66. 6
  67. quad vdetur
  68. posse fieri e fiet 40 + 3.40 al 135. 10. 30 =0 et 340 a 130 + 139. 10.3c
  69. quod procedit, et fiet 130. 130 = - 3. 46 a2: 10. 30 - - 40. a.) (3. 40a + 1 ab) 10. 30
  70. unde f. (9) 10 + (3) sb = 40. se B4 40 = - 3b. 8 tgo ut cognita
  71. ab B0 o
  72. assumi tractam potest et fint 4040aa + 3. 1030 3 3. 130. 130. 10. 30
  73. seu 40 4 40. 40
  74. pur su L est
  75. mpossibile
  76. detent
  77. 3, 130. 130. 10. 30
  78. ita
  79. 27 tolli
  80. SEficultas
  81. supersunt aequatanes 7. pro qubus
  82. 30 ver absorbetur in
  83. sed tunc inclu
  84. cveffrcientes 17 B
  85. invenientur
  86. ussit patecrsieas insi v in
  87. 160. 10. 20 l- 0
  88. ea ut tollatur
  89. sner
  90. in
  91. literus, conter an o videtur opus
  92. et E
  93. hoiberi putd .
  94. e
  95. et
  96. bolli pst debet v
  97. ariabilies +
  98. et in, qat 4 + g uE
  99. Eest Ergo restitur
  100. posse
  101. proredo
  102. dearo
  103. pes ut
  104. dar
  105. et E etam
  106. 50. 60. 20 =0. Ergo saltu, vel 50 oel 60 = 0
  107. =, vi qua
  108. . 16301
  109. agod
  110. at
  111. 56
  112. 10t

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2c, fol. 190v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068199:0380?run=74