Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

LBr. 705 · Overbeck, fol. 10v

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: 0.75.

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. 11r); this page is its left half.

The machine reads it as

  1. minet alores omnium
  2. xyE- ex ( +24772 +12XC 8y2 124 Xy -8yB 16x2B+3X) 162y) 87d + 4( +82)18yd +8x(- 8d- a
  3. xyZ +X (3 - 17Xy = 5X2 + 8y2-10XyB + 8y β3 +9X2 3 - ∞3 + 9Xy) + X 4 (3 82) - 8yd X(+ 8d = a b
  4. 3xy Z +3x 3 46x9 ( +3X.
  5. 517yZ-X β + 5xyZ
  6. Formularum in ctava Dimen
  7. sione. Reliqui ordine ad sinistram
  8. se
  9. subjecti persequuntur Dimensionem
  10. sepfimam, sextam, omnemque seriem
  11. Antecedentium Dimensionum
  12. p geotaX7xy47E- 2Xy21795-7X 17 + 14xy β +72) -7 2β -7y) - yud 17(- a
  13. Xy -SXdis +sXyd- 2 +9Xy2 -75Z + x β3- 4~ - 8xy B - x) +72B +79) +xd. 7 (= a b
  14. 8x92 +2(2 B B-9 +C 6x9( 4uβ + 1022 (3. 2x) + 479) 12d - 4(3-87)14yd- 8x (18d - a0
  15. 7y8 quyβ 18yβ +X2β 3X 1 ary) 18Xd- 4(d 138) -8yd- x (16 = al
  16. =guy Z +2X 2 + 4y2 + quy B - 4y3- 8x2 β - 4X) 187y) + 42d - 6β- 42) 4yd 4214d - 46
  17. +5XZ2-5y2 + 4Xy β -2yB -9+2β + x3V 3xy) - x + 43 + 821 + 2yd+ X- 8d abc
  18. XyZ- 33 3xy= - x 2 +5y8+ uxy B- 49(3- 10x(B 13X7 exys C3Xd +8(3 +2)) +4yd + 9X(. 16d-abc
  19. aXyβ +29(3 +4u2 - ∞) +3x9) +xd- 4B 32) -2yd - X( + 8d - adcd
  20. Exy( +47β90 +2∞3)- 4xy) 22d 43+82) 4yd +nui- 8 ab
  21. DDD Xy( -293 = XEB - a∞Y + uXys 12d +4B= 92) 6yd- 10x ( +21 = abcd
  22. 3E D(D -EyB- X2(, + +5xy)- Sxd + 4 (-72 +2yd +8xC-8d - a b2
  23. yβ- 2x+ (B X + -xy) 15281 2β 137 9yd- 5x (12d-ab cd
  24. C(+ X + 3xys 15Xd 4B +62) B t. 17 (+ 2qd - abcd
  25. X -3xy) Xd 0 132) +29d + XC 8d- a be de
  26. xyv-5x00-32) +Byd +X (3cd=abide
  27. d000 2yd- xC+8d- a bid et
  28. 22) +2yd. 21712d=a8
  29. 2)-qyd +9xC 16d- ab cde
  30. yd -bxC +20d - abi det
  31. XC6d=abidesa
  32. AACI Subsidiariiaosq
  33. Q 11OxZB+ 4X 102y) qud - 8β + E) + 1yd +9X( 16d - ab
  34. Xy 3xy- 2X2 16X92 1398 +2∞ 3.77 axyB. 2X) +7EB-3y) 17ad- 7 C= ab
  35. g+GZ-F 4L +5G(1X -2 - Ey)-Xd +7C= a bC
  36. Xβ (8) -3xyβ - x) 132β+2y) +Xd - 72- a bcd
  37. XE 2Xy(3+27 -ZB +3yV- 7xd +7E- ab
  38. S 3xyC+3x (t3C 3yb. 3x 13d=ab
  39. 4X7-32 ( +69) +97d - 21 C = aVcd
  40. X2V (2)- 2y -Xd +7C- ae bide
  41. XE - 3XyE -X( +38 +2y β 1X) -6d -abc
  42. Abacus V Dimens X β -2y3 - X) +6d abcd
  43. X3y -3xy-XZ + 5yE + x B-5)= a b
  44. Xy 2X E -9Z 45x β- 5) -ab
  45. NV Dmenss. BC. N2E =2yE - + βB +5) - a bC
  46. X Axy +2s +axE - qB- D- 2 ( 15) = abC
  47. Xy -29 72+ 4B - a b XB=abcd
  48. y 2X7 +2( - a b2
  49. -3 112. 2) XE
  50. Xy -37- ab)
  51. X2y-a
  52. 2( -3y) +5∞d -7E = abd
  53. yy -5xd 114(- abcde
  54. ad -7C= avides
  55. a -X a -9a +Za -Ba
  56. C-abedesqus a xa -ya
  57. a bc -2a. ( a s a3.
  58. Abacus 53 -haye -y 2 13∞ (3 +5XC - Zxy (3 -7X) 45+ + 7y)) 47Xd - 7 C- a1b3
  59. Septe mersionu xye 2yE 3x β- X 2 + 8xy31 3X)-24 Hess. bxd +147 abC
  60. yZ () - 2xZ Xyβ +4x) + 52β - 7y))-qud + 7E- a Bc
  61. Abacu sex Dimens.
  62. e
  63. Xly-qxy +29- GC4XSC 09 +0d = 4.
  64. Ry- 2y 2 +4XG+ 2xβ. 3C 12y 3- 67) 16d - a1b
  65. XyZ- 3x(3 32 +47+X) 120 =abc
  66. 3B 47) 19d = abcd abc a ija
  67. XV-= aebcd
  68. d=abcdes
  69. X- 5Xy +Ex t5XZ SyE syB a5j= 4 ~ -2yB +EX 2d av abc- ta (a Va da
  70. Xa- ya 1Za - ( a +) a- da + Ca
  71. a =xa -9 a +2a= (3a 1) a - da
  72. ab9a 2a +aida
  73. Est vero
  74. Xa = X- 2y
  75. ya = Xy. 3Z
  76. Za XZ 4(3
  77. Ba =xβ-
  78. Va -x B
  79. de =Xd- 7
  80. a XC-88.
  81. a -xa -y at 1 Za3 - βa 1) a
  82. a -xa3 -y a + Za
  83. ab= ya ra+ Ba patda ha
  84. ebc = 2a - Ba abide. )a
  85. avide ade
  86. (VIabedef-da
  87. aeb -ya- za
  88. ab -ya
  89. b=ya- Za + βa
  90. ab xabe 2a
  91. 2abEd xabed-(
  92. adb2xab- y a- 2a + Ba
  93. dcada
  94. arocd-xa bcd = (3C
  95. 2a62-xabe a- 2Ba a b cac-xaebcde- Va
  96. Primo daturm Specimen Inventionis.
  97. Ergoxa 13 2xy
  98. Ergoxa-ya -a3 Detrahaturya -xy
  99. etus dt
  100. aque xad 3 y+X mys
  101. saque l x
  102. Ergo a15 - 5X3y-
  103. + +2y= ab
  104. XC+ZXy = 4X(
  105. 2 0xy
  106. 2+ 5Xy2 - 5XB - 5yt +57
  107. Eodem ordine omnes Valores in Abaco subsidiario
  108. notati invenientur tales quales in Abacit
  109. primariis consignavimlus
  110. fectentibus sit P, potentia Respendent sibi
  111. X, 9, Z, etc exprimantur per (1)) (21) (3). Et X par (6)), per (2), et
  112. a, vel b, par (1 a per ( vel b per (17; ab unt be per 2) a b orlb e per (3)
  113. itaque XyZ dabit C (1) (y3y3
  114. ab dabit (1) a b dabit (1) (2)
  115. Hinc regula goueralis consensus coefficientium in Abacis primariis
  116. ita in exemplo exprimetur
  117. Coefficiens ipsius ((1 2 (3)) in valore ipsius (1) (1)
  118. caeticienti ipsius (3) (5)) in valore psius (1) (2) (7
  119. V= abede
  120. aded = Bd
  121. aibcd= Ba Varda
  122. avcd -βa ) a
  123. abedes-da abcdetgs -
  124. ab pab paiee Papta bb - ra B - ya Za + β3a -Va + da - (a ab= pab va 2a a sara
  125. Zβat + a- 2d a + Ca. ab = xabe 2a 2βa 121 2 2
  126. a +Zda 3Ca: abcd -xabed βa 3) a 13
  127. a 2abide- abide ) a 14d a
  128. 2a6- xab- 9a 2a 2a deaes sarides Da 5a
  129. Proditvi Abaci) alor a1
  130. coefficiens pliue xisq in valore ipsius a b
  131. defficieuti pius L) in vatole psius a bed

Cite

LBr. 705 · Overbeck, fol. 10v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/DE-611-HS-861255:0020?run=74