espiral-hiperb-lica.ipynb

{"metadata":{"kernelspec":{"language":"python","display_name":"Python 3","name":"python3"},"language_info":{"name":"python","version":"3.10.12","mimetype":"text/x-python","codemirror_mode":{"name":"ipython","version":3},"pygments_lexer":"ipython3","nbconvert_exporter":"python","file_extension":".py"}},"nbformat_minor":4,"nbformat":4,"cells":[{"cell_type":"code","source":"import numpy as np\nimport matplotlib.pyplot as plt\nimport math","metadata":{"_uuid":"8f2839f25d086af736a60e9eeb907d3b93b6e0e5","_cell_guid":"b1076dfc-b9ad-4769-8c92-a6c4dae69d19","execution":{"iopub.status.busy":"2023-09-05T03:42:05.065237Z","iopub.execute_input":"2023-09-05T03:42:05.065730Z","iopub.status.idle":"2023-09-05T03:42:05.071128Z","shell.execute_reply.started":"2023-09-05T03:42:05.065685Z","shell.execute_reply":"2023-09-05T03:42:05.070025Z"},"trusted":true},"execution_count":2,"outputs":[]},{"cell_type":"code","source":"def plot_hyp_spiral(a=1, theta_range=(0.1, 6 * math.pi), num_points=30):\n    \"\"\"\n    Plota uma espiral hiperbólica.\n    \n    Parâmetros:\n    a (float): parâmetro da espiral\n    theta_range (tuple): intervalo de ângulos para a espiral\n    num_points (int): número de pontos para plotar\n    \"\"\"\n    \n    theta = np.linspace(theta_range[0], theta_range[1], num_points)\n    r = a / theta\n    \n    x = r * np.cos(theta)\n    y = r * np.sin(theta)\n    \n    plt.figure(figsize=(8, 8))\n    plt.plot(x, y, label='Espiral hiperbólica')\n    \n    theta_lines = theta + 2 * math.pi\n    r_lines = a / theta_lines\n    x_lines = r_lines * np.cos(theta_lines)\n    y_lines = r_lines * np.sin(theta_lines)\n    \n    for xi, yi, x_linha, y_linha in zip(x, y, x_lines, y_lines):\n        plt.plot([xi, x_linha], [yi, y_linha], 'r-', alpha=0.5)\n\n    plt.axis(\"equal\")\n    plt.title(\"Espiral Hiperbólica e sua Área\")\n    plt.xlabel(\"x\")\n    plt.ylabel(\"y\")\n    plt.grid(True)\n    plt.legend()\n    plt.xlim(-1,2)\n    plt.ylim(-2,2)\n    plt.show()\n","metadata":{"execution":{"iopub.status.busy":"2023-09-05T03:42:05.077931Z","iopub.execute_input":"2023-09-05T03:42:05.078365Z","iopub.status.idle":"2023-09-05T03:42:05.092240Z","shell.execute_reply.started":"2023-09-05T03:42:05.078324Z","shell.execute_reply":"2023-09-05T03:42:05.091124Z"},"trusted":true},"execution_count":3,"outputs":[]},{"cell_type":"code","source":"plot_hyp_spiral()","metadata":{"execution":{"iopub.status.busy":"2023-09-05T03:42:05.094267Z","iopub.execute_input":"2023-09-05T03:42:05.094961Z","iopub.status.idle":"2023-09-05T03:42:05.564895Z","shell.execute_reply.started":"2023-09-05T03:42:05.094920Z","shell.execute_reply":"2023-09-05T03:42:05.563869Z"},"trusted":true},"execution_count":4,"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 800x800 with 1 Axes>","image/png":"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"},"metadata":{}}]}]}