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Leibniz-Handschriften zur Mathematik LH 35, 13, 2a, fol. 94v

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: 0.77.

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. 93r); this page is its left half.

The machine reads it as

  1. _ quaritur quadratura rationalis pro Y(Xx + ab, XxtaC) = ayax. sit
  2. = X: a = 1O + D, . se, fit Xx = 0+ D + 2YOD,: Y jet fiet
  3. +2 YCD
  4. XX + ab, Xx tac = at F2a OD +bQ, at+ 2a +OD + CL = aagy
  5. et Beyu = aatrh + 4aa d D +a et
  6. fs sit & = 10 +ua, : 00, et fiet
  7. +b.4 + 4aat 1OD, =ua
  8. 00.00 uahue +4 vatatur 4 a t
  9. 10. 10 bc Gh + 2. 10. 11 + 1I I1 bC aa
  10. 00. 10. ae hh +00. 11 ae at
  11. + 2ae4...
  12. Z. 00. 10. Ciutaque 4 2. 00. 11 tat aa
  13. G=O+Y
  14. C= b4C
  15. sit OD = at
  16. constanti
  17. HoD = - at
  18. 00aa 4 = conpndi Mth + +paa
  19. = m, th+ nat + Paa
  20. debet esse p: m = uniamm
  21. seu amp=nn
  22. videamus an liceat contraher calutum ut sit 10bC+ 00ae = D itafiet n = 00. doa l +10. 10l + 00. 10ae = a
  23. et et 11bcR.2. Doevat. =0 ita siet p = 00. 00 4a F F 11. 11bC + 2. 00. 1e dat = 00.44+
  24. ogel ooetut
  25. sed supra erat nn = 160G. 00 at, qui duo valores consentiant inter se, et positis
  26. Vatoribus HD et H, quales assumsunus bit 160090 at = qu (00. soavat)
  27. quae aequado est identica et proinde assumtis 10 et 11, ut fecimus sponte fit Amp-nm
  28. osi ad = fati 2tat et y = =C: bc)4 + etat. bc) sed video hoc
  29. non licere nam ita fit gu = aade: 88 aaee: bbcc, seu y = a9: 8 = aae: bc
  30. 44
  31. ut in vatore ipsius d0 destmamus h. et t. ut restet ttu, f
  32. 3b. Tr fist 11. 1 = 2.00. 11 esat: bc) + 00. 00. sat : bbcc) = 00. v0. Meente 00. 00 atbc, : bbcc
  33. taque elsieim
  34. et fit 11 = 00 etatu oosat, ee - 4bc) : bc sed ee - 4bc = qu (b ), et fiet
  35. 1 = 00(b +C)F + 00(b=9), sat : bc seu 1 = 200 Vat : C vel 2.00 lat: b
  36. et Ob h. fiet = 00 a + 2. 10. 200 l_ + 2 00 ab: C) (+200a) -2. 00. 10C, = 0 abalinc
  37. sed seu 1Oip= a = ab.c) 2b - e sen 10 = a (c- b) : C (b - C)
  38. en fit oiadC, rt fit d = - (a: C) t + 2a :b) a
  39. n C et
  40. sed ita etvans citC
  41. nam omnia in vinculo siunt aequalia nihilo. Itaque nec
  42. odaatin ∞ Op a sat atu = vd na 2Q- ooat
  43. hoc compendio uti licet
  44. 1.. 1
  45. si siad
  46. H. 11bCaa
  47. +200. uetataa
  48. fiat. 26. atu = BCaa) (2100.M C Vack lIbC = 4. 00. 00at)
  49. A
  50. =oat nbea L00. 11. nae- 2. 00. 10C a lat
  51. et 10. 00aa D tolobe + 0esoetu H +
  52. 20a
  53. et sit 100. 00aa Z: - v a) t
  54. 20a
  55. Ergo om cob d mp = un fint 4 dota (66. 1 bca 200. 11 etat a
  56. raa
  57. 1
  58. de
  59. 10. 0o bc 4a t1. 1 bc a C 10. co. 1HC We sata
  60. (10.10. 00a0 4u t 00. 10 1 aebcat 1 10. or. 1. e. eataa 4 80. 10 ea a
  61. +Bonidria detat n tr
  62. 1t fiet . 00. ile a (RbC- ec) + 00. 10 a t (40c- e0)ebeurat
  63. at ) det Bbea e
  64. A ebb+ ce+6be 2abe taee hebe= rabe pabbive pabe ebbe bc
  65. sendalleereti i na qu (b1) habeta luc)
  66. 1600. 10. 11. at Cabc
  67. fie 11. 114 1bact c 114+ 04 at. bla 64 a hbe 4qu (b. c) a, sia b. dc quasbs0 nti
  68. Earoseuat
  69. b-C seu 1 F 10
  70. 4bc - ee = - qu(b -c)
  71. sed dispical. quod 1o a I non tpacdantur eodem modo ee vertanasnes terror calculi
  72. bbna sus bac)
  73. 12 a . fu 2b+C)
  74. 10.10u (enc) 10 subiqu (b -c) arbiqu ()
  75. 00aG tatsooru et fint Aa CC. + aa m D + aapf
  76. tet a
  77. oto. natCeehe htana
  78. ratiC,S
  79. et fiet amp =1. 16. 0st a t = nn: jam n = quo q val t 2,0. 1be + 00. Ha eA ooxetat dd tac. bbru
  80. et pro 10 et 11 substituendo vabres, silea atat + a ve ∞0. P Vat aet 2id acerat
  81. per destructionem fit n = . a aat.
  82. tem
  83. 400. 16 a tau -1600. 10. 1 abe rabt oa lai a pre
  84. tq o. 12BN Ia eta onto pe a
  85. opaeuo io iclees
  86. Crutnabb
  87. prater

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2a, fol. 94v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068197:0188?run=74