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Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 113v

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: 0.85.

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. 114r); this page is its left half.

The machine reads it as

  1. in sectore curvitineo
  2. in segmento curvilineo
  3. in polygonis (inscribendis per triangula
  4. maxima in segmentis, et polygonis
  5. Circumscribendis per tangentes ad triangulorum
  6. apices ductos. put pri designabimus
  7. puncta in curva, seu apicesra
  8. adscriptionis per praesicnumeros 1, secundae per praefivaseZ
  9. nntias per 3; ita polygonum inscriptum et circumscriptum
  10. seu condscripta ha ejuidem numeri laterum seu polygona duo
  11. coadscripta haboet eandem notam praefixam, deslingui
  12. autem possunt per affixam, quae pro numeris punctis in curva
  13. sit par, pro punctis concursus tangentium extra curvam sit impar
  14. ita polysgontm primum inscriptum K. AB
  15. kR 29
  16. secundum
  17. Ztium
  18. circum scriptum K. A 11. B
  19. K0. 3624. 3832
  20. Ita polygonum primum inscriptum KAB
  21. ita polygorum primum inscripsum R.
  22. KB22IH.
  23. secundum
  24. tertium
  25. quartum
  26. K. 134. 22364
  27. K. 10. 25. 27. 12
  28. habent latera in scripta
  29. Fg K. Hao324OI. 41. 36. 4 4)
  30. K 10.39 X17133 15. 12
  31. primum circomscripsum K. A11 B
  32. ila polygona inscripta primum secundum tertium quartum
  33. habe et sogm
  34. 1
  35. polygona circum scripta primum secundum 3tium quartum
  36. H. 13. 125. D
  37. a
  38. K, H. 31. 39. 311.313,B
  39. P M. H. 4G. 9 19. 4ul. 423 4r5. 127. 429
  40. med Geom. inter A et L
  41. .
  42. velC.
  43. et ita porir
  44. B et M
  45. m med Harm. inter B et L
  46. 1
  47. et ita porto
  48. C et M
  49. unoplum glam circum scripta latera unitate plura respondentibus in scriptis
  50. 2
  51. habent latera circumsripta
  52. Habemus relationem inter areis pelygonorum conicorum ad sectores
  53. ectoribus adscriptorum; desiderantum perimetritt ergo in hos
  54. Nitit possumus autem ex positis commude invenire per theoremq asvod
  55. ergo inqui rere operae pritium est
  56. ex datis duobus ateribus Trianguli, et area exhabet tertium abus. sint
  57. trianguli latera l, m, neit arflmn, 1+m.n, lmta, L+mn
  58. in area a
  59. ponamus dari latera L et m, fiet
  60. a - (U + mm F 2 (( p + Umm))
  61. sit arca pp fiet 16 = 2Umm - 17
  62. = Ha.
  63. =n2
  64. Eu nn
  65. punctum qo) secantur bisecantur subtensa, denominatur nota quibus puncteres
  66. 2mmnn
  67. quoquibus biecentur as circumprisita polygom proxime altioris, eb solum
  68. bisecta intelligatur in 12 ut paralleta ei 23, 24bfrcatur 23. 25 bisecatur in 22. Et A 2
  69. Ex in Triangulo
  70. t
  71. eiscrimine, ut praefiva sumatur uniate
  72. H 12, H H. 12. 12 ex lataribus H12, 11. 2, et are a trianguli D Hna2 habetur tertium latus n,
  73. et H. 22, 1. 22 b isecabuntur, in 24 et 26
  74. quod duos habet valores pro dubus radicitus, H. V. et E. it data enim et relatio sunt eadem pro utoq
  75. vel
  76. tutque majus i. 1 = sUtmm + Cumm-4p)) et minus H. 1 = eCU+mm- SUmm- 4 p +)
  77. vel 1. 12

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 113v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068196:0224?run=74