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Leibniz-Handschriften zur Mathematik LH 35, 9, 2, fol. 67r

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: 0.81.

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. 66v); this page is its right half.

The machine reads it as

  1. XX = 9+e X + gFC: 4 A yy = XX) + q. ex - q e: 4 (yy) -(Vr-1+ Ep ppfinet 2a = q+e quod
  2. e seu ut bb ad 2erseu ntb
  3. X = 9: 28 C- p y= seC. pp b: 2C
  4. blad sec pp. scunt b
  5. FR = C:29 9- P FZ-y C. b. Sqp
  6. rada sunt dabsissa perta quaoit ase auctae
  7. oe micuam itaque difercunae radionum
  8. aX - a XX = yV
  9. seu AO, et y, OW
  10. 2a9 + =aC- 499+ 29 er ee
  11. 2a9F2aC4- 294- 2a9e) a e
  12. et y = Yabb, ia ea a 49.D
  13. lrgugno
  14. 44 jam bb: q= a. et fiet y = 1 a
  15. ax 2 px =yy 1t
  16. sit y O at X∞LqC
  17. sit 9,9 et e3, fiet X, 6. sit a, B
  18. 48- 8 36 48- X 16
  19. in ellips: alterum in axo
  20. it quidem ambo aequam
  21. assignari poseriit luc A13. 1312
  22. proportio motystalis
  23. vocdiitatum
  24. verte
  25. 2M. 1D = dr.
  26. 2b3M = Ba: Y
  27. at sibisonpe A
  28. 12. BE, 12
  29. distaatia eorum sit ipsu ordinga
  30. XW est latus rectum
  31. (3
  32. LCA. Ergoplaneta ra
  33. dis tantia media
  34. seu orce medium arithme
  35. mri BA et est distanlian
  36. pro exemplo
  37. dF3 45
  38. A. FE, CA F 2, P0:2
  39. b BE∞6b-9y. Ce,
  40. o B a latus rectam est 72:9 =
  41. BE, 9 latue rectum a,. O3M,Y
  42. O = 9.2- e.2
  43. a = bb: 9
  44. pondeant.
  45. BG axis minor
  46. suts prestoctionalis meremendis abscitsqrum ita q pncta du eratur vuum
  47. u proptortionalis inerementis ubscitrumta
  48. OA = F9: + P: 2
  49. b = 199- ec
  50. M- qur
  51. F3M qur
  52. P= OD = C3M - F
  53. FR: OR:: F3M; C3M P= 2r -9
  54. Ob angulix. 2MZM H rectum sunt
  55. rarac
  56. MR = b: 29 (94. pP
  57. yy
  58. 2D3H 1M2MO = 2M3MO SCK= ba
  59. dx dar dee pp: p CoMcur- VF
  60. F3M = q
  61. hianguli similia 2M2D3a, FQ3M, OH 3M
  62. 2DEF conatus centrifugns = aa DD. 2Y3
  63. ROM, 5 FM, 4
  64. GH G.C
  65. f L 15. 110
  66. BHG Ma
  67. M912: 110
  68. QR 4: 3510
  69. 5: 3510
  70. OH 5: Hio
  71. Fa) 4: siO
  72. FZ ME. MF
  73. 2M G vis ut conatus descendendi
  74. dr seu 2M2d: 2D3M (Ba:Y: 2M3M, .. See-pp : b: 2Trqur
  75. d semper ddr aequatur summae lin casu levitatis enus orculatione
  76. Harmonica concurrentis) vel Rifferentiae (in casus gravitatis)
  77. solicitationis paracentricae a gravilite eut levitare
  78. in Ellipsi est gcavitas
  79. et dupli conatus centrifugi
  80. 2D2F conatus centrifugus = aaDB: 27t
  81. 2m G eonatius descendendi in Ellipsi . = 2466.
  82. 24+ e: = a .: +9.
  83. nam aq- 99- ee
  84. sit tparaden
  85. ax yy
  86. inhae casu ynt a
  87. aqu- +xx = qu
  88. suu ∞AXX; D
  89. se quod vide nus
  90. 4+29c40
  91. 29+2e-a
  92. sit a =5 a.
  93. fity = Za
  94. Generaliter ergo insectionecomea
  95. Calus rectum est ordinatin apperenta
  96. qau
  97. ad axem per in folo
  98. Aga +299- a4 =q0
  99. na9 99- ee.
  100. Duneetipseos pnctum plus
  101. quarta parte lateris recti
  102. distat a foco nad vertex propiar
  103. ploquarta parte lateris recti dista
  104. nam ejus distentia a foco est a
  105. utque autem rectum est 4+ e04- e
  106. et que: 2p 9te. que. 49
  107. seu 29p 1+e. sin qpe
  108. si essit que: = 9+ e. 9:+G
  109. parobola verum ubi ambet sunt
  110. incinitae gere, dissrimen
  111. ipsis incompammbili
  112. Hyparholuns

Cite

Leibniz-Handschriften zur Mathematik LH 35, 9, 2, fol. 67r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068126:0133?run=73