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Leibniz-Handschriften zur Mathematik LH 35, 7, 6, fol. 2v

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: 0.75.

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. 3r); this page is its left half.

The machine reads it as

  1. Demonttr. p Siquidem (conttr.) ubique ett 2m: BC = A9: Rg = L: LM = AH. AE. est etiam
  2. AE = BC. AH: 2m
  3. m
  4. A0.
  5. 93
  6. et circulum AHDZA exigentem nh= Ad
  7. X8.
  8. 2. Pariter cum sit (conr.) non modo BC:
  9. n
  10. BC
  11. deme. erut FP Nas
  12. 127
  13. bra
  14. at CAx.XX) E (junta nomina art. 2.
  15. quam
  16. 2nZrad- xo
  17. in V ad gh) px Nomi Ocath
  18. r. rax: 2n Sr Ex) Mr+a) Cr XI: u 2m S(ErX.) d (irr +ar - YX - ax): Cm H CirX- x
  19. xirar
  20. 4. V tia x r X
  21. idr
  22. Entera
  23. rera- ex
  24. 2rx par- ra ad (art. 2. dante f - r + a)=
  25. Zri Hag- ida. = 2rr + ar - fX, dx : 2m HCIYX - XX)
  26. 23..q num. 1. 2.) Curvae ADF elementuum Dp (Yop 1S)
  27. amrexux.
  28. (BC. AH: 2m): EN = A0. AH: 2m
  29. oc, _ elementum ejut (ducta uV perpendiculari
  30. m
  31. 2a V2rx - Xx
  32. 3. 72.g 6 )= dx (bbrr+ q t AaB- frrX- 2 farX + H∞X): 2m + CErX - XX)
  33. L da hbn + 4nt + 4ar + aarr- 4 frex 2 ferx + (propter bb + 4 vr. + 4ar t aa = ce, et
  34. 2mrera xx = dx CCYY- 2SgrXF A∞)C: 2m YErX -) Partic. 2) = HBh : m
  35. a
  36. m
  37. cujus integrales et Conica laperficiei quaetitae portio AHB = mAB; & Sic de caeterit ejusdem
  38. amvira-ux
  39. seu qualium summatio.
  40. superficiei portionibut hac ratione sumgtit: Oudé patet integram haue Coui obliqui
  41. superficiem ette = 2m. APF. 9. Z. D.
  42. V. Fnhac obliquangulae conicae saperficiei mentura flait ultro vulgarit ea quae rectangulae
  43. gribuitur. naus si Couut AHDZAD fieret rechis, il nimirum cujut altitudo BC converta in B0
  44. hac ratione factau ipti aequaleur, & ugvvaleu ad Coui
  45. m
  46. APF ordinatis EP Cart. 3. num. 2.)=R Tac evadentibute
  47. Eunda
  48. N =Xx interim
  49. n
  50. duu absertae manerent eadeu AE (art. 2 num. 1.) = DCA, (grva haec APF mutaretur
  51. BC
  52. AH : 21
  53. id
  54. m
  55. etau alo foret
  56. AEqu +EHqu
  57. meAN = mx AD (arc. 3. num. 3.) = AMB. Aequi AN = HX Y (art. 3. num. 1. 2.)=
  58. (Sequidem hic ohu +oru
  59. H. BH. 2
  60. (BC ost B) qu + (AO. An) qu): Em = AH SC BC qu + A0 gu): 2m
  61. ntDCT ilio
  62. AH. Ergo hoc
  63. in eodeur catu exit At = ANB, sive Cui recti converae superficici porsio AB aequalit
  64. ecr m
  65. em
  66. exit producto ex divudio Latere DH zier respondenteu badeos aveuu AH: Coudé toto
  67. glanum AHDZA, indeqan. pH:
  68. hujusmodo ui superficiet convena pariter erit aequalit producto ex dividio Laure per
  69. 2
  70. tocunq babeos aubitum; quod Geeucetrit alia ratione jaui pridem notum ett.
  71. i ex obliquangulae
  72. eleuento HBh (art. 2.) + ax 1ceor-2f9rX +ffax, in quo sunt (ars. 2)c = AB, &, f= Oc.
  73. 2Y2ran
  74. vel iis simmando
  75. c seu c = BH _ f = 9. iltud
  76. EF u. j.2 ACum. d BN. d) (Fay isCr i
  77. 2V2 va ex
  78. Bu Xrax
  79. X1F
  80. E terrn
  81. BXBY BHaHL. atque inteqraudolerit (ut mon) rectangulae superfinei
  82. dd0(H. CAV: HG) = BH. Hb: 28
  83. 3
  84. 1C
  85. DH: 2)
  86. BH. AH: 2
  87. conicae portio ABH =
  88. DNXA ZC. ut superiut.
  89. Porro hit taudiu non iuvovor nisi ne magis pateat quanta b affinitat inter
  90. praecedenteum (avt. 3.) Conicae superficiei obliquongulae menturam et rectangulaer
  91. vulgarem.
  92. V. Quod Spoctat Curvam ADF quae (art. 3.) obliquangula illiut superficin conicae
  93. meuturaum praebet,

Cite

Leibniz-Handschriften zur Mathematik LH 35, 7, 6, fol. 2v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068078:0004?run=73