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Leibniz-Handschriften zur Mathematik LH 35, 13, 2a, fol. 9r

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: 0.74.

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. 70v); this page is its right half.

The machine reads it as

  1. st Xea= +D, Q sit XX = 0 + D + 210D, _, et natab sit = O+D et e = b +C
  2. abeolatit + aaa C + 4aatue 10D -9 gy Ubi explicare oportet item assumtas, ut aldi ipsius
  3. taeqt
  4. +2ae 16D.
  5. 00.00
  6. QZyy fiat extrahibilis: Assumatut OD= at
  7. et 8= 10Z +ua, : 00
  8. gus aat raa sat q +aat
  9. 1y firt 4Qgy = 00. 00aa tt 4. 00. 00 aatat t +4. 00.00 compen
  10. quaeritur quadratura Rationalis prosummanda formula XX+ ab, XX + ac) x = aydr
  11. Orellaaeat. ml- t sist XX + ab Xx + ac = at +2a 0) +b8, at + 2al OD + CZ.: 48 = yet multiplicatione facta
  12. Et ex p
  13. 10. 20 bc hh. +210. 1 aBcK t + 1. 11. 11. aabc
  14. 00. 10a et + 1. 00. 11 aae Y
  15. compendio = mtir + nh + paa
  16. +2. 00. 10 aerat R +2. 00. 11aae Vat
  17. itaque erit 4, 00. ∞ aa +4. 00. 00 aet = qus t4. 00. 00aa tat
  18. 10. 10 bc. F1. I1. 11 aabc
  19. +2. 10. I abC
  20. 00. 10 a 42, 00. 11. aae Vat
  21. +1. 00. 11 aae
  22. 12. 00. 10. aetat
  23. 00. 117 H
  24. et multiplicando actu ipso
  25. quod ut aequetur quadhatet, fiet
  26. a, Gt+na t + aap
  27. adeoque Amhtur natitaap)= m, Et
  28. 1400.00 a 400. 00 D+ 00. od a 11. 1 ab c B0. 00a aelat u 4600 iac
  29. 10. 10 bC. 4. 00. 00 aa t( 10. 1 bC 11. 11 abc + 10. 10bc. 2.90. 1ae Vat) 4. 10. 1 bbccae
  30. (00. 10,90. 400. 00 aat+ 00. 10 ae 11. 11 abc (4 00. 10a8. 2.00. 11aelat
  31. +1. 0d 11 aaee + 160d a b0. 10
  32. +400. 10geuia
  33. Unde destructis destruendis fit (11. 11. at + 4 18 aC) (abc + ee)
  34. Be abc = b1(C + 2bc Abe = bb + CC 2bC = qu b. C) = ttr fie et set ua ato quiuui
  35. Ittaq+ 1 ( a 16na es alet 0
  36. 11.N + 2. 8bc Vat 11 + 64bbbccat- 64 bbccat = 4at atat
  37. 10. 10
  38. ahh. 10
  39. aaha
  40. atgat
  41. et liet 11 qtat, abc V(16bbcc - h+). jam y =
  42. purro y-, tr + un a, 1ot + na. Compendii causa ut m fiat valde simplex
  43. R 409. 00 a araL = 10. 11 abe-2(0bge sa
  44. d tac
  45. e bes 2iaavat, lin (ubc. eo) - eeal; hdibe posto q re tat. al. L B2 = aaq
  46. Zmatba Intum cosreiaRii be
  47. et y = 4(00. a GnGi, 10t + na et n= 400 a v et 1 = 2
  48. pollumus, facere (o. 10
  49. n22.B uat, itoac
  50. 6bb ce +.) at
  51. oss.
  52. videamus an tat ab sic assumere liceat, ut pa lor ipsius n contaatur
  53. et n = -4. d à dat 2:-
  54. qbe.
  55. iitaque si laceremus 24 ate
  56. Del (+Nl6bbcc tor 44bc). + et
  57. Dn betch 1 ee (+ Hisblic) thh + +bC)
  58. ecifinet
  59. caiat )
  60. orpliando u sitar dobali oucertei cet nadt uu meatremu, i derea atvet
  61. ( +
  62. Pqoiat abt . od. ae ra
  63. et ( (tn = abc taslla a elibicet 1. ab.
  64. e
  65. n = 2Vat 0 = 2 Re(G ebbbCc ht + abc +hh)
  66. (16 -
  67. va n = 2aa fat, - 2 - ee (4. Fet
  68. seu n = 2aa fat, -2 -ee Y (4L F F
  69. p = 2aa tat, - 2 hh b
  70. Atibe
  71. i
  72. d +4 +
  73. boce
  74. (1 = Y) +.
  75. ee (_ F, (16bbc C -h) + abc +hh)
  76. bbbe bE 2bbcC) = (DbbbC - (a ccC (8 bbec = b - ct ( 2bbcC
  77. -(bb +CC) bC, lb bib qu (b+C) +bc
  78. qu (bb +CC) = 5DC (bbF cC) =
  79. Nouc bd (cc b C AbC + 4bC (6 bb c)
  80. gu (ob- qu (bb cc) +bc u (b+ c) = qu (b +C)
  81. 16bbcc h 4bc + tih, 4bc = hh = qu (b +C), 4bc = qu eb-c). Ergo M1bbba h)-(b+C) + bC6.
  82. edes
  83. A(ebC = sgit Cb CD) sit ium limilatu vt erid dy = 4 b dc 44C db = ZCb+G) (2b - 4),. - (abc- qu baG
  84. en in hac curate o eailionem ab: dem vis b limituu. Si altentra costansse voines cit db
  85. et fiet nnaa aap seum
  86. at, 10. 1b cL. 9. pl bre s 1 a
  87. at 00. 1 40. v. 1abe voloP
  88. lat
  89. snlatae
  90. bcotat
  91. 00. 00. a Vat. 10. 1 (ee- 9b0)
  92. unef haieit
  93. 2.1 qu e dat
  94. 4 aaeeat al
  95. unbe eeat aallte
  96. hbbec
  97. itbCe) 00h1a ces. bC
  98. cest carja
  99. sun
  100. i id e per differ
  101. tiatem
  102. siet q
  103. ie, dec
  104. sn
  105. rotet ti
  106. (B N sed cum mul dicuc
  107. methodus
  108. vinimus
  109. entes cessat
  110. manimi
  111. differentialis, et
  112. recurrendum est ad liq otr
  113. ensa gua bb ec
  114. he R 5, et.
  115. i diverri cadi
  116. Aatene, in paginabias iat
  117. : nobc
  118. itaque si dapes relatio inter b et C, uli es
  119. in hac cuto ahe ab de eca blimitatu s allerta cpusse et

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2a, fol. 9r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068197:0017?run=74