LBr. 705 · Overbeck, fol. 104r

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: 0.79.

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The machine reads it as

1. Cardamus vrlta Cartescus docuere squationeum radices augere
2. minuere multiplicare dividere Mirum quod substituere subsbitere, ubi maxime
3. Asiit
4. pergendum eral, nec docuere aequationes radices quadrare, cubares surdesolidars quod
5. tamen longe majoris co solutiones moinenti est. Mraeterquam enim quod h scepearontio
6. radis per se intractabilis cujus tamen potentia fit tractabilis c utique fit serendum maximum
7. inde ad) umentum afferri ad veras aequationum desolutiones. Analyficas
8. pro exeltandis aquationibus res semper procedit multiplicando per formulam
9. arbitiariam cujus deinde literae invenientur, per destructitias aequationes, sit
10. quaequnque aequabro gradus e, attollenda ad ge, n per formulam terminorum adeoque
11. gC- 9. patet cum termini tot solum in nova aequatione remanere debeant ter
12. mini, quod erant in aequatione primassendatas etiam tollendos esse terminos ge-g, adeoque
13. pro quadrato id compendeum es, ut pro aequatione datar ad quadratum abfollenda
14. litetarum
15. sufficit eam multiplicari per formulum qua non differat a data oquatione
16. et esse literas quol aequationes destructitias
17. n mulliplica per
18. v g. X3 + pX + gX + YZ
19. idem sine multer catione
20. es
21. signis locorum parium
22. Hlici potest, quadrando tantum, si, ab una parte colloces terminos prium, tertium quintum
23. B et habebis X +. X +. X +. X
24. hb attera secundum quartum sextum ee, et quades utrinque at x+ qx = -px- unde
25. inp, b
26. X - pXX + GX -
27. X + 29X + 94X =. pp X + 2pY X +YYS. seu x f 29 X + 99 XX = rY = 0
28. s
29. N +21X + 22X + 27 X + 24X + 23X + 26
30. X + H1X + 12X + 13
31. X +2IX +Z2X +23X +24X7 25X + 26X
32. +11 = +112
33. 12.
34. = 16X
35. 11. 72 1823
36. 12. 21
37. M
38. +
39. + Bm
40. +mx eu
41. n. 22
42. 13. 2)
43. P
44. 1123
45. 12.23
46. 13.22
47. e
48. 1125 I26X
49. 1224, 12.25
50. 1323
51. M X
52. S
53. An 3. 11. 12 + _ 3. 13
54. m = 123 - 2. 11. 12. 13 +3. 13
55. Lbs
56. pp
57. 32b
58. -1:
59. n3 = - 1
60. 0
61. = 21Y.
62. 21 = - 11 22 = +112 - 12
63. 2
64. 24 = 11. 13 - 21. 12 + 12 - 11. 23
65. 25 =. = 11. 13 + 12. 13 - 12. 23
66. = 112 13 + 11312 - 11. 12 -11. 23
67. 26 = - 13. 25: 12
68. = - 13. 24 - 12. 25:11
69. Ergo. 31. 13.25 = 412. 13. 24 4 12. 12. 29
70. 11. 12. 13-11. 12.13+12. 13- 11.n1321
71. Ergo 25 = 11. 12. 13- 12. 122.13 = 1313-11. 12. 13.28,:, 11. 133
72. Ergo (,V. 13(4 11. 12. 137-11. 12. 13, 23f 11.13 11. 12. 13-11. 12.13-113. 13.2
73. -Vnx ( 11. 12. 13, 12. 13 + 12.23 fD11,12. 13-113153+ 11. 12+ 11. 12.23
74. = (11. 12. 137= 12 12. 13) 13. (-11. 12. 1334
75. 11. 12. 13 ∞∞, 1B.13 + 2. NP. 12. 13 + 11. 12 - 123, 13 +133: 1.13 - 1. 12-123
76. seu fit 23=
77. quo vatore subilituli in 25 et 26, omnia habentur. Set sed quie exit
78. + 2 113. 1
79. sed persequi
80. distinctim operae pretium non est nam et haberi quilvel ocfficiens ex sola
81. consideratione labulae formam, Nam (3= X + X + X seu X Est antem - 1= X +REXX
82. X
83. XX
84. cec
85. 3
86. X
87. 1XI
88. est X = fl e9 - 113 + 2.11. 12 - 13 = 13
89. modo facile rabebimus inveniemus et
90. jam Si X =
91. 3
92. 6
93. et n= XXZ. Eodam
94. sedet N = 1
95. X = - l + 2X X = 2m - 1
96. X X = CE Ergo K X + X
97. XX = A2 X X +QXXK + 2GXX -E X. XX = XXX X = + _ L I1. 13 Ergo
98. X
99. XX O + 3X
100. 2X = 12- 2. 11. 12. 13 X. X. X = XKX DX = - 13 XX XX = XXX - 3XX X.
101. ergo X. X = 12 = 2. 11. 13
102. X X t. XXX + X X
103. 3 1
104. 23. 13
105. ergo XX X = 9 132. Ergo X. X = 123 - 2. 11. 12. 13+ 3. 13
106. +L X
107. +m
108. data
109. e
110. p
111. -
112. +n
113. X = - 11
114. Xx = 12
115. XXX
116. et = 13 = XXX

Cite

LBr. 705 · Overbeck, fol. 104r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/DE-611-HS-861255:0207?run=74