Leibniz Legible

Machine transcription of the Leibniz Nachlass

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LBr. 705 · Overbeck, fol. 8r

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: 0.87.

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The machine reads it as

  1. Ergo
  2. CELLEd(F1SSJ ME a Magnifue
  3. Amplissime atque Consultissime Domine Consilianie hbime
  4. Domine ac Patrone Summa Observantia
  5. humillime Suspiciende.
  6. Quas a Tua Excell. redditas misi literas venerabundis manibus excepi is debitam respon
  7. sionem prorogare non debui, etiamsi calculi ibi propositi momenta omnia nondum excusserim
  8. a =X) ad r2ab- x satis enim materiae literis praesentibus suppeditant ea, quae in ultimâ mea coram Tuu Excelt
  9. ab - y seu a 12y= admissione elaboranda susceperam. Calculi initium, seci ad margine. Reliqua in latus excrescunt
  10. abc = Z sic ab + 3abc - xy Ergo
  11. abed - B seu a b 132 - xy a - xx. 2y 5
  12. Sic abcA + 4s = XZ ab = xy- 3E.
  13. abcde - V abcd + - xB abc = xZ- 4B
  14. abcdes - a bcde 16d - X abed xB-5
  15. abedesus abedes edes
  16. In bina dimensione tantum catur na -x -xy eb ab =y vid Letera X
  17. In tenna demensione adsunt abc= Zjaab = xy -3Z ad Litera 1. et postremo a
  18. ilud a ex Aequatione 5 guaero multiplicando per a = k. Erga ubi
  19. a + aab = x3- 2Xy
  20. a calculo eruetur a taab - x3 = 2Xy Et
  21. aab = xy- 37pA. facta Reductione per Aequationem
  22. ali-y 2xC+ EB H. Jam sequitur quarta dimensio, ubi primo abcd- βdatur. Hem a bc - xZ. 4B ad Literam 2
  23. ab= xy - 2Z
  24. Sequitur ergo querendum a bb exuno inventorum. Sed per (b) nihil multiplicari potest, quia b
  25. Teorsim nihil significat sient a attaque ipsu ab per ab multiplicabimus quoru utruque per (y) explicat
  26. ab per ab dat Formulas ab abc d abed. In ab tantu est unus binio tormae ab Ergo scribo
  27. ab sed in abe sunt, abde ac ambo formae ab Ergo scribo Z ab Denique in abid sunt sex binio
  28. formae ab Ergo scribo yy = a b +2a b +6 abcd. His per Aequationem e ut decet reduitis e
  29. aberabis Zabc Expus L ox
  30. Subsrab
  31. trahe
  32. Subtrahe 24Z- 4 = 1Za bc per e oritur a b quale ad Litera n signavim
  33. Ergo go = 2XZ+8B = b +6 Succedit itaque in vertigandum ab
  34. = 2y q2+ 4βper H.
  35. 2abc =
  36. 2xZ - 8β per 3
  37. seu ab = 2X2+9y3+25 quod ex ab tad Latera = xy - 3Z, mul
  38. ab- yy-272+23. 1
  39. tiplicatum per a - x habebitur ut fa
  40. cum calculo ad sinistram invetuque est ab ad Literam D. Restat in hac
  41. Ergo ab = xxy -2yy -xZ + 430 dimesione unicu a quod eodem loco erutum dedi ad Literam
  42. ad - X3 - 3Xy + 3Z per 5
  43. facit a aa b =X 2xy taxE
  44. Subtrate a b = pxy = xZ -27 +4 per 2
  45. Ergo at = x+ qX’y +q3 +2y - 4B
  46. Pro Lvinq Dimensionibus.
  47. abbc 12abcd+ 10 abcde - 2
  48. Subtra (2a bcd
  49. he
  50. e = 2XB 10)
  51. + 10abcder = 107
  52. Ergo a bbc - : 2xB - + 2y
  53. seu a bbc = 2y - 2x B 5
  54. Porro abc = xZ- 4s peridi
  55. Hoc parto ad quartam usque Dimensionem omnia pervestigata puto
  56. Et i Luinta quodem dimensione primo datur abcde =j
  57. Hem a bcd = x 3-57. ad Liter. 1. Restant autem adhuc sequetes
  58. Formulae a bbc, abc a bb, ab da. Prima ut inveniamus
  59. opus erit Fopmulas ab abc interse multiplicare. Dabit haec
  60. Multiplicatio Formulas a libo, a bcd e abcde Et quidem Nume
  61. rus ipsi abbc non nisi unitas praeponetur. Possuquidem eam
  62. resolvere in Terniones ab aab bba bbe ita ut his ex coefficien
  63. tes sin ordine respondent bc bb, ab ca aa Sed unicum Medium
  64. par habet commultiplicates formae abc et ab Porro altenu
  65. abcd ita resolvo aab, aac aad, abc, abd, bcd. Qvibus respon
  66. dent coefficietes, cd bd. be ad ac aa Ex his Quai
  67. ta et Luintum par habet comultiplicates, formae requisite
  68. Denique abcde potest omnes suos Terniones applicare ut iat (10 abe
  69. Ergo scribam abbc +2abcd + 10 abcde - Zy vid ad Margin
  70. su port Litera X
  71. Fant abc 1a bbc Babcd = xxF- quB.s
  72. Subtrahe Sea bbc per N3. = 2Ey qust
  73. Formula abc Quaterniones quidem dai
  74. ab, ac abc sed solu a bE habet, formula muntiplicandio
  75. similem ergo scribitur unum a be Altera abbi dabit
  76. abb, abbe, abc inter quas duae similes sut multiplicando
  77. 3a bcd = per 2. 3x -15γ. Iaque sumo 2bbc At a bcd resolvo abc; abd, abcd acd
  78. Restat abe xE- 2dy . 3xB +)n Quaru tres forpralae similes sut multiplicando. Ergo sumo
  79. Dono ab = y- 2xZ +2β. per H
  80. a = X
  81. ab + a b= = xy-772 + e+ B
  82. subtrahe abc = 2y -: 2xβ X
  83. 3abcd. Quae altius in hac dimescone ipsum (a) attollunf
  84. in iis perse facile est numeru apponendum eruere
  85. ab = x y- 2XZ- Ey +4uB3
  86. Pono a b = X y -2y - xZ + 4B per D
  87. ab + abb Ra bC = X y - 2Xy - xF Z + 4 uB
  88. Subtrahe 5a bb
  89. Ultimo reponatur a = x - 4X y + 4XZ + 2y2 - 4 per
  90. 2a bc -
  91. xy - 2x7-Ty +4xB + se3
  92. 2x+ Z - 47y - 6Xβ 1301
  93. Maltipl. per a. -x. Fac. a + b, - x - 4∞3y + aXE Ax - 4 XB in Restat alb = X3y - 3xy 2 - xxZ + 57y + bXB 50 f
  94. Subfrahe
  95. In
  96. atb = x3y -x1Z - 3Xy +6X +57y -30).
  97. Restat 4 2 p. p 9 4 5 p C 45 p a erist se9 oo.

Cite

LBr. 705 · Overbeck, fol. 8r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/DE-611-HS-861255:0015?run=74