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Leibniz-Handschriften zur Mathematik LH 35, 10, 7, fol. 25v

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. 1r); this page is its left half.

The machine reads it as

  1. 1, p.
  2. seuianguli intel radio
  3. ductri focorum est ad
  4. ejusdentd,
  5. actionem circa eundem focum
  6. ult
  7. sinum rectum
  8. sit ergo angulus sub du duobus rectis radiis FG, G
  9. ex focis, bisectus recta GP ipsam CF bisecaute in
  10. et agatur pL normalis ad EG in V, L.
  11. quoeritur
  12. ratio GL: Lp) ex datis rectis, F E radiis EGF
  13. et recta EF.
  14. ob angulum autum biseEFG bisectum
  15. est ad EG: 8FG:: Ep: FP, Ex G sit in EF perpendiculam
  16. et GH _ EL P sim. EHG Ergo C EH: EG:: EL: Ep.
  17. FH, fet e
  18. et + g = r
  19. _ e GH g, nl. S = R EP ∞F
  20. N e e p +9
  21. FPG: EP:: q. Y: Y seu EF p = p q Y : Y
  22. GH. EH g. X GH,
  23. r-
  24. EF, FG
  25. t, BE 1 ad
  26. et
  27. a (4+r+ 9- Y =
  28. 4+r- qtr er
  29. q-Y + q Y = aq
  30. 79+Y+q = EY
  31. LY +g -Y = (ese+q
  32. -9+r=
  33. + q.Y
  34. 5+4+3= 12
  35. +4 -3 =
  36. 5+4 +3 =
  37. e- q + 2Y
  38. EH = C - 1qr - v 26: q.Y = EM - + Et
  39. r- +0. EgrEY, seu cor 9. r - 40: 9ut = m et
  40. jam _MN seu si GN vipler angulm EGF, fiei Mesemn Lm Om + m + t
  41. jam n +t = r. et fier A- tm: mar fiet WMN: ME:: GM: GM + GE.
  42. seu n= em mer. seu n. M:: F: n +Y M: R:: M+r: t. tantum
  43. ergo quarenda quantitas mtr: F. se s Sr. qer - 40+ + 2O, (q. Y): 20
  44. seu rai 40 Irg. Y: 402 -1 + 1
  45. porro m+r: F ut different
  46. radiorum que est ad. Y ad circulationem quae est aD: Y posito D tempores Elemanto
  47. Ergo fiet: ... . . +1 = dr Y: ab seu dr
  48. Xq. -v = FH M-
  49. e29 rea tranguli irculationum mobilis circa _ circa _, 4 centrum C, quae sunt ut in quovit mud
  50. Y
  51. e +q - 2Y
  52. C
  53. s Ergo area triansuli
  54. +9 +r - qtr = 2r
  55. r
  56. 4 + 3-
  57. Ex lis in se fitttoqui
  58. Pgr
  59. +4. Ar +9- Y = 29
  60. +Y
  61. es
  62. C
  63. =Y.
  64. PL, y
  65. 191.
  66. EGY
  67. L
  68. inciementum
  69. iutationem
  70. n
  71. ejusdem ficip afferentia radioe
  72. re
  73. s
  74. se radioru
  75. eo seu
  76. circarau
  77. eun
  78. cadiosum
  79. eu ab eorem
  80. ad Locumsseu
  81. Comp
  82. eciestas a
  83. ecrementum radiorum ejusdem
  84. foci est ad circulationem circa
  85. L
  86. sinus conulencu
  87. In Ellipsi ac
  88. eF -e FeC EHCh.
  89. f2 + g = n
  90. ida focum ut ansulu
  91. quibus in se invicem ductis fit se -4.
  92. er e, dat GH-
  93. quae didisa
  94. Ellipsi nermerdua cadiocum

Cite

Leibniz-Handschriften zur Mathematik LH 35, 10, 7, fol. 25v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068160:0050?run=74