{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "provenance": []
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    },
    "language_info": {
      "name": "python"
    }
  },
  "cells": [
    {
      "cell_type": "code",
      "source": [
        "# Ejercicio Propuesto 2.1.1.7.\n",
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "\n",
        "# --- Parámetros modificados de la elipse ---\n",
        "a = 3   # semieje mayor reducido\n",
        "b = 2   # semieje menor reducido\n",
        "\n",
        "theta = np.linspace(0, 2*np.pi, 300)\n",
        "\n",
        "# Elipse original centrada en el origen\n",
        "x = a * np.cos(theta)\n",
        "y = b * np.sin(theta)\n",
        "\n",
        "# --- Transformaciones ---\n",
        "# Traslación modificada\n",
        "Tx, Ty = -2, 5   # nueva traslación\n",
        "\n",
        "# Rotación modificada\n",
        "phi = np.deg2rad(60)  # nuevo ángulo de rotación en grados\n",
        "R = np.array([[np.cos(phi), -np.sin(phi)],\n",
        "              [np.sin(phi),  np.cos(phi)]])\n",
        "\n",
        "# Aplicar rotación a cada punto\n",
        "puntos = np.vstack((x, y))\n",
        "puntos_rot = R @ puntos\n",
        "\n",
        "# Aplicar traslación\n",
        "x_rot_tras = puntos_rot[0, :] + Tx\n",
        "y_rot_tras = puntos_rot[1, :] + Ty\n",
        "\n",
        "# --- Graficar ---\n",
        "fig, ax = plt.subplots(figsize=(6,6))\n",
        "ax.set_aspect('equal')\n",
        "\n",
        "# Elipse original (más pequeña)\n",
        "ax.plot(x, y, 'b--', label='Elipse original reducida')\n",
        "\n",
        "# Elipse rotada y trasladada\n",
        "ax.plot(x_rot_tras, y_rot_tras, 'r-', lw=2, label='Elipse rotada y trasladada')\n",
        "\n",
        "# Ejes y centro de traslación\n",
        "ax.axhline(0, color='gray', lw=0.5)\n",
        "ax.axvline(0, color='gray', lw=0.5)\n",
        "ax.scatter(Tx, Ty, color='k', marker='x', label='Centro trasladado')\n",
        "\n",
        "ax.legend()\n",
        "plt.title(\"Ejercicio Propuesto 2.1.1.7 - Rotación, Reducción y Traslación de Elipse\")\n",
        "plt.grid(True)\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 545
        },
        "id": "RaxoPOJhfiiO",
        "outputId": "27a72d81-8e7f-4353-90bd-b6db15c96aca"
      },
      "execution_count": 1,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 600x600 with 1 Axes>"
            ],
            "image/png": "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\n"
          },
          "metadata": {}
        }
      ]
    }
  ]
}