Leibniz Legible

Machine transcription of the Leibniz Nachlass

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LBr. 943 · Tschirnhaus, fol. 7v

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: 0.76.

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. 8r); this page is its left half.

The machine reads it as

  1. sit jam e
  2. jam ut xa
  3. p 2
  4. dent-
  5. xx
  6. xx
  7. hoc e YXx∞ 2
  8. 3M ∞n.
  9. X M. (YXxnXx Dhine fpriora d.t x 2 sit jam (rhrire 2. fig.)
  10. a -YX
  11. adious
  12. GH xX d GF ∞XX jam (HGXX
  13. 4 jam ascrmendo GHxxX dGFxex invanias
  14. dGF xEI
  15. ∞IX ∞ 1. d
  16. DM3 X =1X)S: e ent
  17. X3 ∞ a - YXX ad eoq YXF x. n - 27
  18. 2
  19. assumendo vero GHxX
  20. dGFxx inveries x x 2 dic porro YX5 x YXy atque sic forro mmiifinitum; Techia ii asmu
  21. mo HG7 2 dG5 px3 ado HG∞X dGF ∞ X, atio HGx ~GF x Xd ato HGXX3 GFXXS atqcic gorro
  22. inveniemus Yx x3
  23. 4
  24. 4, IXx∞ 3
  25. 5
  26. 5Yxx
  27. d
  28. L
  29. YxF73 atque cic indefinite. Eadem netione invenio hic no
  30. 3
  31. ,1x3∞L, Yx x item xx:
  32. Sems xlas eruit tales quantitatas froctioni cujus numerator ex ponens signi radicalis; denominatur
  33. et
  34. Summra exponentis signi rodicalis ex ponenlis quanlitatis xE hisc i paricis Me
  35. al
  36. existinio, a omnium Parabolamm lonordum Parabolicam dimensione ac infinitarum pveterea supficio
  37. ia suou omnim quantitatu
  38. ue abharum compositione exsirgunt, uti ominia corvideo Parabolica a Larabolie infinitia circo
  39. von basin genita atque infinitae aliae tales guantitats, 3 quia compositarum ex surdis quarotitates infini
  40. B.
  41. de
  42. D B
  43. finmodis possunt ex primi gminca tale congositinam infinitam cguantitatum minsura expendat. ee
  44. IX +(x3x fuxtagriora 2. +x Z verum hac guantibas infinitio modis poti exgrini eo: Maltiplicm
  45. de in se Atice, Cubice ab: Dextrahendo rndicu radicom Htam, subicum eb: nic mulliplicanido in Pertica hon
  46. eti
  47. aubitu extrahendo radicu erit YX +xD +EF x ubi notaridum gd quandous egregia hinc aser
  48. quinis si extractio proiedit, valut in praesenti exerupro erit nun (X +X3 + x x (B: quid probabi
  49. c
  50. 5
  51. eia jam tunc dari Yx +2XC amo dals Yx+x hoc E husfbrlae Htura Sed grobabilibus in hoo neou
  52. tio o credendum interim admininm interpolationis nrgotium a Nallisio extribi mulum hinc ad
  53. invabits) quotjam existinas ouantitaturo Mensura dari conjungendo tali ratione omnae bigoi
  54. fernnc, quater nac 2l? Attamen in eoo terminats Methodas,
  55. ne
  56. ac
  57. puscio in infinito con
  58. binuendi ad finomit trinomia e: nuprbondi mensuram dannjam Omnium curvarum posi
  59. se
  60. D
  61. biliuu nume nm detarminorim sut ex recrpliae à Me literis intellexiste spero) Et facila in hoc in
  62. golio omnae posribilas combinationes deberminare liceat. Tredo in tempus trabere Me poser hinc deteri
  63. minare dam omnae possibiles tturac, guanoguae o Aturam ad miittunt. Et alia quae ad ultina huj
  64. 4, 15 l X5 Ia-x3x 8
  65. Xe la-XF x 8
  66. 23) Xx la- X x
  67. 8, 15 eb: item x a-xx
  68. 6, 105
  69. XIY- xF x 38 Ato sic talia mogno nunero communicare poserm; Jam inte
  70. c
  71. 12,105 8
  72. rim ad altara partem tuisus Method. Ma convertam; quae consictit ut data aligrs spatio, mensura rjusdo
  73. tegats Cloguor salte de spficie quia omniae alia cquantitates ad hos reduci poscunt) hincus vic procedo
  74. Conjungendo mino Fcum cum proposita figura formo solidum hinc ut antea d siquidem hinco mensur
  75. biles
  76. ju patet provrediendo ut sugra, ascimo aliac ac aliac figurae d efficio hunc solida priori aequalia efi
  77. tunc ut autia progradior fonuando seme aegnationos inter diversas illas sectiona etcumque semespatia
  78. illa ebilio in carta ervoristione assimo, debent provementia quoque seue in carta proorescione ever
  79. di aderus ut facila videam num trac mothodo intentum ascequilicabit; octenda speciminis loro qua
  80. ratione circuli ac alianum figniarum novas hrao Methodo detexerim Rhiras; Primo eit semicir
  81. cutus DM3 d ascumamus, eum
  82. DAC3 ita ut radius 30 x lis DA. Sedcum
  83. hac ratione nihil invenimus gd tendat ad noctrum scopruui
  84. teritant conctatit. Asarmo Smangnulumo FH in qui de si
  85. Mathodi efectione reguinuit Verum ut aliqua saltem dibi communice euempla quantitatum com s ninc
  86. positarum in quae inadi ulterias proprediendo; observavi Oma. xx x
  87. XY-X x 4 3 et: item X I2 - x x 8
  88. XDTn-X3 x 48
  89. 9, 10.
  90. 6, 15
  91. 2
  92. 4c
  93. c

Cite

LBr. 943 · Tschirnhaus, fol. 7v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 79). https://leibnizlegible.com/page/DE-611-HS-867509:0014?run=79