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Leibniz-Handschriften zur Mathematik LH 35, 13, 2a, fol. 71r

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

The machine reads it as

  1. vellem
  2. ttat d=
  3. ande X - b =
  4. Hoc omnia melius minore scheia longa, adjecta
  5. Y, X- b, X- C) aeg, de primere ad extractio
  6. nbr + 2h0 test aaff
  7. a, vv + 2rV + rr
  8. a. Unde
  9. hhove alif+ aaf= ab (voruBen) hotas +vrriab, hutas (vtr) tab
  10. a, vo + 2rvtrr
  11. a vv + 2v +i
  12. sihov dahisvtacts-ac Curturven) a) ab r af ver) tac
  13. a, Wv+ErVI
  14. a, vot iretir
  15. fiat hv +af -( +V) Yab, m = Hchv+ af- (∞ + n Vac, n
  16. Ob v suc, hm - insab = hn-ntac, seu h = mn Lab - n tac, :; m - n
  17. Rursus V, afm = rm Vab = afn = rn Vac, et Y = af (m- n) (ntub.
  18. sit
  19. Un de hr = af. Et fiet
  20. V + af -7 ab ~ V+ at = rsac
  21. ac
  22. ha vab
  23. et
  24. Fh) rhi abasrac rabo ~ Castrttacera. 1
  25. sed ita in determinatu, atiab
  26. Th(tab -itac) exine seit = a f(sab = itaC)
  27. siet rh= af inde X= hhvD+ rhhrveriti
  28. a, notarotu
  29. seu x= hh: a, quod non prodest
  30. +mmab
  31. IVV +2a (m-n) f (m Vab- n Nac) V + mm jaaf
  32. ima a Vbc
  33. x+
  34. ave
  35. mn
  36. L
  37. un jaass. Am Dabu
  38. Fmmab quV +2af (m- n) (n vab -n VactoH m
  39. t un ac
  40. -2mnasbc
  41. Ascendamus altius, et ponamas X quadratum a si at_ aaque
  42. V+ rV+ at
  43. o -2n
  44. 2mnib.
  45. +aassus nes
  46. roptraltxtaate
  47. X-C, F) (nvtrrtat) = huvt afv raaque + (notrorat) sac, lrrtaseraaq (vtrnrat) Vac
  48. e
  49. intnab
  50. hh_V + 2afs. V+ 2aaglaB
  51. Vitus, cat V
  52. X- b, L)CR_ F rrat) = lY tafvraag t (NVtrvtat) sabe, lwvtas vrang (vvaretat sab
  53. quaeramus unam ex radicibus ipsius C), eamque ducamus in 6, Ed et productum in M.) Haec duo producta coin–
  54. - -- .. . . .... et productum in n cidentientur
  55. sed si haec producta coincidentianda sunt, necesse est et fria producentia aliquo modo
  56. Quod si sucederet habetetu desideratum.
  57. 1
  58. coincidentiari. Itaque cujusque ex C, D, S, G, binae radices scribantur, tum quaeratur ny
  59. aliqua fiat electio talis, at tribus ex O et 6, et totidem ex D et e electis, possu possit
  60. quae vit ollis ex illis in constantem ducta, cum aliqua ex his, etiam in constrntem
  61. (h + Vab) vo + (af + rVab) V + aagt atisab, compundao lur + amv raan fini dividatur per l fiet
  62. ducta coincidentiari
  63. inde vn +am B, aan vyVtp Hg= an:l q= amil -p pq= aan.
  64. qu aam. l si t: amp. Ipp = aan
  65. vo + amp + aamm= aamm: taant
  66. seu V --am + gamm-anes
  67. vico
  68. au
  69. seu V + (aS+rsab) - Y(aa H F rrab + raErVab - A(aaqD +at tab) h + Sab))
  70. 2h + 2 Vab
  71. ( la sabsam- astrsabe san= 9 +F sab
  72. A =h - valit an = f- r sab
  73. aV = ag - Yab
  74. fiet v3 + a WV + aavv
  75. +am - Hcaa tm - guanl) xv
  76. +
  77. ul
  78. oo
  79. + a- Y (aaq Ana s P) VB
  80. + aqV V
  81. ila
  82. v siuper
  83. vv + an v + aaV, mult. per V am-aum an
  84. Mutliptintur
  85. ∞ = h- tac
  86. assa
  87. +aamarssiamm 4 aant v
  88. + na v
  89. =4
  90. Etpu b 2
  91. 8= ag- H Cn au - 4aa 5p
  92. Habemus tres coincidentias efficiendas
  93. m, n,
  94. as
  95. 1
  96. + a-at (aage- 4aa CF) V + a a st at aaa Caagu dansp)
  97. icexo agacor + aa vaco ~ V HaK. D) on t autatv. Db
  98. v apeetaarv 2]
  99. 2T
  100. Ex v’fit V8I = rCPK Acd =_∞ + BA: pA
  101. 2t +nco =2nKC Ele C
  102. +a on + aak _Y + aatda Ep 2+ Efk n N : K
  103. u
  104. br
  105. nem ex prodine
  106. =2mn
  107. im

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2a, fol. 71r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068197:0141?run=74