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Transformación en el plano

Transformación en el plano. Philip Kissam Topografía para Ingenieros Mc Graw Hill, 1966. Coordenadas de un punto en dos sistemas. original: n, e nuevo: x, y x = a + b = (n  n) cos  e  e) sen  y = c  d = (e   e) cos   (n   n) sen 

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Transformación en el plano

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  1. Transformación en el plano Philip Kissam Topografía para Ingenieros Mc Graw Hill, 1966

  2. Coordenadas de un punto en dos sistemas original: n, e nuevo: x, y x = a + b = (n n) cos e e) sen  y = c  d = (e e) cos  (n n) sen x = n cos e sen (n cose sen y = e cos n sen e cos n sen ) x = n cos e sen x y = e cos n sen y

  3. Determinación del giro y la escala • tg AZO = (e2  e1) / (n2  n1) • tg AZN = (y2  y1) / (x2  x1) • AZO AZN • k = Dn / Do

  4. Determinación deltas • n2 n = x2 cos y2 sen  • n = k * n2 - x2 cos y2 sen  • e2 e = x2 sen y2 cos  • e = k * e2 x2 sen y2 cos  x = n cose sen y = e cos n sen 

  5. Cálculo coordenadas transformadas • xi = k * ni cos k ei sen x • yi = k * ei cos k * ni sen y a = k cos  b = k sen  c = x d = y • xi = a ni + b ei + c • yi = a ei b ni + d

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