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Leibniz-Handschriften zur Mathematik LH 35, 12, 2, fol. 181r

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: 0.78.

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. 180v); this page is its right half.

The machine reads it as

  1. H (BEl: egque) vV
  2. Cov. estilb. 99e) .. + (b. e)22
  3. h +C.44)..
  4. HBL: e9) LV Hn (bl: e4) P 4 ff mbi esZ = + Mbss
  5. t:9
  6. ais sebl.eq).
  7. 2lili9) . - 21h8.
  8. - mb WV - mb ZZ
  9. ob Z7 fiet ih = - em
  10. 2CF
  11. 29l - 2
  12. +2mb l. 4) VZ. q umbv + Embg Z = + mibss
  13. 3
  14. nmper
  15. et habetur
  16. 6b Z fit + tibe = 2e9 (1t ob V habebitur C, nam C et g alibi non occurrunt
  17. ob Zu sit E + ss = - 2 mbbl + Embel,: Bt
  18. vam 2mb (1. L) C b: _) BtL: e - em Ib: C) temtt. = tib.
  19. ob VV dabitur 1: t set ob V habebitur C seu 2bl (e - b; e) (= b1) + ett 61B- bet
  20. seu =H= 2mbsl: L) (- b): 3
  21. Nempeob V, sit Emb (L. t) C,: ) et :C - em . ) H, em Ht - mbqq
  22. seu 2bH(B e.: 2) (. b + et t - bg9 ve blbH
  23. seu 2bb ab 2b 2C 2(b,C) bl a 4b 2bH + (e- b) tt - +labi
  24. 2F seu 2f6 - 2 e)bl 2 (2e b) n (C b H 2b (ae b) . H
  25. e fit C (C-b): ab (re b, = l: H
  26. den fit (e + b) Ht = 2b 6- C,: e)l
  27. seu l; Et = (C + b, 9b - e) (C: 26)
  28. Sed hic illud subast incommodi quod quantitas
  29. haec potest esse negutrra, quo casu let erit
  30. quantitas impossibilis. Veuti si e sit essimativa, ut in pat Hyperbota, cuns myuspsa recto b
  31. major ipsa b nstem potita e privatier seum E, ut in Ellipsi
  32. sit lb -E9., E+b) C.2b, seu
  33. E b,, EFb) (E. 2b) nempe cum latus
  34. irausversum est majus recto, quod non lest in
  35. Clliposi, sed tantum in Hyperbola
  36. si pro ih ponamus ih fint ih= em.
  37. cit ob 2V siet Y ff β + 2ihbl: et = 2m bl: t
  38. Sn. 4SS re. 2mb. (tot) (e 6). B.
  39. seu .fs+ si + E mebe) l: F = 2M b l: b
  40. fict ff =G sed ilactieret etiam Mb =0
  41. quod non est in potestate, vl fam
  42. itaque ut procedamus quam genacitissime multipicemus
  43. ev La
  44. aeqquationem D per Rih et aequationem E per ip
  45. et ad ditas in unum B et _ idrutificemus ipsi C per posito i esse mnitiler) fit 2X 29X = XX = GV
  46. absolut as habetur e, per nam fit = Bmb= + isfit habetur
  47. posuto i esse initatem Et quia ab vo et ZZ
  48. fipt. et ob 22, biet l (b: C) h = i, seu h = iecb
  49. ob vZ sit - 21l: 9) = = 2(b: C) (l: 9) - p(Bt: 29)
  50. seu (L ib Z il: d L p (Bt : C). Unde B = 0 seu ex b =0
  51. quod non licet, vel sore p 20 quod etiam non licet
  52. itaque non licebit rem consequi hac via, et generaliter video
  53. non non procedunt normales, non suceessuras obliquas
  54. natm etiam normalis seaedem erunt abscessaeque ab eoteu puncto fixo
  55. Ergo ut rem in Conicis praestare tentemus opus est etiam
  56. in (oniea mutari dircetricem sed quia mulata glcunue directrice
  57. ideo hormales frusta motabuntur in obliquas. Et ideu id efficiendum ut mulata directice in aequatione
  58. no composita ex lonina a directricem, et ea quae critur eib per miniam, evanestat ∞Z ita non lit
  59. tantindo ercanti saciua dcuum hsrecta et coreulo u
  60. madenia in pa
  61. cllatis momalio
  62. ofinque
  63. fi
  64. set ze-bel
  65. 60Z
  66. e
  67. 2bx+D x = yy
  68. ree
  69. ez + 1bee = y7
  70. Dic F b7 26∞
  71. Clats tausvers st
  72. el yy
  73. tit bgz- be = 9G
  74. inor ZK CXX=)
  75. x
  76. ar
  77. +ZY = L H -gy
  78. maxima, gu y minor
  79. dichidro latere recto
  80. IX = - 4 yy
  81. XX - 24 X 29X +99 = 99 4 yy
  82. qqui quy. Eux qup gy
  83. 2F X = FXF- YI
  84. XX = 2 qX + 99 = 4q - qu
  85. Ergo Ergo latus transversum majus
  86. majus recto in Ellipsi
  87. ET 2YX + EXX = YY
  88. 29X + XX = YY
  89. X +
  90. = (99 +rr)
  91. sitaque bbliquae vel conregentes non
  92. poessunt instivire, nisi ad compen
  93. tium demonstracide non reu
  94. strnendi. Eu
  95. natione
  96. no
  97. so licebu
  98. lias rectas qu
  99. at, seu pu l.)
  100. s

Cite

Leibniz-Handschriften zur Mathematik LH 35, 12, 2, fol. 181r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068195:0361?run=74