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Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 177r

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. 10a +, 11 d. sit 10a + 11B, dv. ponamusque V = vat. eit do = adque: tatu
  2. 20a +21V
  3. fint 10a + 11 taque, adtue
  4. 20a aex at + 2c _t
  5. 20a + 21V
  6. deu 10. 21 al + 11. 21at a atu
  7. 11. 20 aat 10. 20 aa tatu getur
  8. 21. 21 aa tt. 20. 20a1F
  9. sit atque = x tab XX + ac euit adt = (4X + 2 abX, dx
  10. et 11. 21 X + 11. 21 ab XX + H1. 22C, 4 X + 2abX e tatu
  11. = 10. 47
  12. + 21. 21 cabb + 2. 21. 21 abcXX + 21. 21 a cc
  13. 21. 2 X +2. 2. 21 ab X + 2. 21. 21 acX
  14. imo sic.. 10 a + 11V do
  15. 20a +21V
  16. = 20.20 X = 20. 20 ab XX - 20.20 aC
  17. sit v = O atqu et du = d0 satu + Cd adt = d9, atu d0 + a0 dt
  18. vel do - 2atido + ac dq, tatu
  19. +020aa (10021 aV
  20. 10a + 11V = 1. 21 vV + 1. 20 aV
  21. 20a +21Y
  22. 20aa -2130V seu
  23. + 11. 20 aOF
  24. 10. 21
  25. 104 + 11V
  26. 20a tV
  27. 2 tat
  28. 2 sat
  29. =11. 21. 00at
  30. 20 a - 2100 atq
  31. Q manentibus
  32. 2 aht0. 20a + 1. 20 Ciph 2atid0 +a dh lati
  33. Ix = =11. 2100 ah
  34. 19
  35. 20 a= 2160 at
  36. Vati, 2atu d + aC dque = 10 a + uD do
  37. s
  38. rat ((2d(3 + adt) = fi 1eg00t
  39. O
  40. 2at
  41. ratu
  42. 20aL2D
  43. elem.
  44. A( tat): O tatu= Tog dat
  45. sit simmmanda C:. pitut finge. VB + v, vdo -. v +. vD +. D
  46. sati
  47. esse . V +.. VB +. . V, Xe
  48. est autem de = vdo
  49. posit vv=ab
  50. fet a.. a +.. at +.. aat pecc; dt = . 1. +. : 00 +. . v +et, du
  51. ipi +.. vp +sM
  52. a +. at+. aatsi tati idem est quod .a + dh). A) +. AB M
  53. tale ergo semper reduci et ad quadrituras ratinales
  54. e + nt +atitrero rati
  55. si esse - V + - vv +.. v 7 erc, do : .. v +. , V + v eca
  56. ut x = (Z l fiat .. a +.. +. hE ten, 2 dG - t 12,
  57. 24
  58. 29
  59. .. a +. +.. hh + er, VZ
  60. ui
  61. sed idem est uc sifecisum n = 1hDt et iae = 2 dG 3) - d 2 12 = 2, 169 - 2 42 154
  62. E3
  63. 22
  64. 1((+b), +C). .x+ b + p + C
  65. A+C) Yk+ ) AXtb, XtC,
  66. (Ax + ab)
  67. XX + ac
  68. 1GG
  69. un bta clat.
  70. y bumm acillua tedmmun a vedlena abolmua tat imna
  71. Kollatur termonus summus summus nuu in sentratore
  72. quam montutae erit gradus certi. havant jam commanem siutore
  73. Y(XX + ab) AXXFaC) - ab + ac
  74. sRx. ( + ab NC + aa b+) Mentor t adminator, et res ertu rerncti ad : XF.
  75. IXX +AC S(x + ab)
  76. inr.
  77. seu ad quadinura, itdnatis
  78. (1ODZ+ (4) = 1(0not 4. + 2910D). sit BD4+ E+
  79. au, qODE + +0D + + D + d Z a DE H O +D) + + 2F rab (DZ + 2461 0 + 2ad 4 D = 7y
  80. 2bc
  81. 2bd
  82. + 26d0
  83. tollatur irrationales in producto d= - ab. C = act b sit bb = CC d - - bc: a fit aa =CC
  84. eut rgo c = +a b = (t) c = (+) f a d =) - a, () Fa, +a = (7) a
  85. seu c - +a b = (+) +a d -(+) a
  86. SV 1
  87. qu fbYOD+ FOC +d +DE +4) = bb8) t 2 a b D + cac toq L ad (8
  88. 2600
  89. 2cd7 +2b d3
  90. destnc possunt irrationales in quadrato; es judu st O () c 1. XX + aa et similiter D
  91. 10 Bq
  92. potest pu potest 4 bbC3 D + ccC Z + dd D deprimi destuncto temino summo vel ultems
  93. primu. auter licet sarientur signa ipsom b, exd, quae plis diffeuunt signis tamen prodire
  94. videtur etiam nimium hinc sequi ptam utcunque varientur signa idem est bb ce, dd dphusbo
  95. F = et ∞ et () ~ + et erit c = =a et b = - a et d = L a
  96. si sit 4 C. + et (+) ∞ + fint c = a ut b = a et d = - a
  97. sit ego
  98. Si sit + ~ = et (+) ~ - fiat c = = a et b = a et d = a
  99. s
  100. pros 2g sit O3. _ OD = mn DE = na fiet D = l: D = nn: 8 fit UD Q = Cmn: U = nmm: C fit O mt: A
  101. A sit = ~ F A(=) ~ = fint C = Fa C= a, et b = = a et d =
  102. ODe = im in tup = lmn
  103. ( = fit Hun F Il Aln +u =y = matima + Cm en la iat hatma
  104. C
  105. fis O = m lm: n
  106. Exs A. taposit a = - et
  107. n
  108. bu. K In: m E = mn : l
  109. fiet qu lma + laec fiat latla possnt
  110. esu
  111. la ut absit 1ODE redlunn ;lna
  112. nicu in po s t d a es a nominutore pert
  113. e
  114. ttaqu ar pmrous
  115. an d lthmu llma + 2bd Imat
  116. prua
  117. roxtua
  118. (B m non i
  119. careti
  120. itus qualuor
  121. modes quaesi
  122. obtonem potest
  123. u eflisu

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 177r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068198:0353?run=74