{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Gráficos de Seções Cônicas" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import sympy as sym\n", "import matplotlib.pyplot as plt\n", "from IPython.display import display, Math" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Parâmetros\n", "a = 1\n", "p = 1/(4*a)\n", "h = 1\n", "k = -2\n", "n = 100\n", "\n", "# Pontos do eixo-x para avaliarmos a função\n", "x = np.linspace(h-2,h+2,n)\n", "\n", "# Criando a função\n", "y = a * (x - h)**2 + k\n", "\n", "plt.figure(figsize=(10,7))\n", "# Plotando a parabola\n", "plt.plot(x,y, linewidth=2.5,label='Parabola')\n", "# Plotando o vértice\n", "plt.plot(h,k,'ro',markersize=8,label='Vértice')\n", "# Plotando o ponto central\n", "plt.plot(h,k+p,'go',label='Ponto central')\n", "# Plotando a diretriz\n", "d = k - p\n", "plt.plot(x[[0,-1]],[d,d],label='Diretriz',linewidth=2.5)\n", "plt.grid()\n", "plt.legend(fontsize=14)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 47, "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$\\displaystyle \\left[\\begin{matrix}0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9\\\\0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9\\\\0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9\\\\0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9\\\\0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9\\\\0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9\\\\0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9\\\\0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9\\\\0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9\\\\0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9\\\\0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9\\\\0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9\\\\0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9\\\\0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9\\\\0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9\\end{matrix}\\right]$" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/latex": [ "$\\displaystyle \\left[\\begin{matrix}0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0\\\\1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1\\\\2 & 2 & 2 & 2 & 2 & 2 & 2 & 2 & 2 & 2\\\\3 & 3 & 3 & 3 & 3 & 3 & 3 & 3 & 3 & 3\\\\4 & 4 & 4 & 4 & 4 & 4 & 4 & 4 & 4 & 4\\\\5 & 5 & 5 & 5 & 5 & 5 & 5 & 5 & 5 & 5\\\\6 & 6 & 6 & 6 & 6 & 6 & 6 & 6 & 6 & 6\\\\7 & 7 & 7 & 7 & 7 & 7 & 7 & 7 & 7 & 7\\\\8 & 8 & 8 & 8 & 8 & 8 & 8 & 8 & 8 & 8\\\\9 & 9 & 9 & 9 & 9 & 9 & 9 & 9 & 9 & 9\\\\10 & 10 & 10 & 10 & 10 & 10 & 10 & 10 & 10 & 10\\\\11 & 11 & 11 & 11 & 11 & 11 & 11 & 11 & 11 & 11\\\\12 & 12 & 12 & 12 & 12 & 12 & 12 & 12 & 12 & 12\\\\13 & 13 & 13 & 13 & 13 & 13 & 13 & 13 & 13 & 13\\\\14 & 14 & 14 & 14 & 14 & 14 & 14 & 14 & 14 & 14\\end{matrix}\\right]$" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "X,Y = np.meshgrid(range(0,10),range(0,15))\n", "\n", "display(Math(sym.latex(sym.sympify(X))))\n", "display(Math(sym.latex(sym.sympify(Y))))" ] }, { "cell_type": "code", "execution_count": 48, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10,7))\n", "\n", "plt.subplot(121)\n", "plt.pcolormesh(X,edgecolor='k',linewidth=0.1)\n", "\n", "plt.subplot(122)\n", "plt.pcolormesh(Y,edgecolor='k',linewidth=0.1)\n", "\n", "plt.axis('off')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 49, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "x = np.linspace(-np.pi,2*np.pi,40)\n", "y = np.linspace(0,4*np.pi,72)\n", "\n", "X,Y = np.meshgrid(x,y)\n", "\n", "Fxy = np.cos(X) + np.sin(Y)\n", "\n", "plt.figure(figsize=(12,9))\n", "plt.imshow(Fxy)\n", "plt.axis('off')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 70, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# 2D Gaussian\n", "x = np.linspace(-2,2,100)\n", "X,Y = np.meshgrid(x,x)\n", "s = 1\n", "\n", "gauss2d = np.exp(-(X**2 + Y**2)/s)\n", "\n", "plt.figure(figsize=(8,8))\n", "plt.imshow(gauss2d)\n", "plt.axis('off')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 108, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "h = 3\n", "k = -3\n", "r = 7\n", "\n", "axlim = r + np.max((abs(h),abs(k)))\n", "\n", "x = np.linspace(-axlim,axlim,100)\n", "\n", "X,Y = np.meshgrid(x,x)\n", "\n", "Fxy = (X - h)**2 + (Y - k)**2 - r**2\n", "\n", "plt.figure(figsize=(7,7))\n", "plt.contour(X,Y,Fxy,0)\n", "plt.plot([-axlim,axlim],[0,0],'k--')\n", "plt.plot([0,0],[-axlim,axlim],'k--')\n", "plt.plot(h,k,'ko',markersize=10)\n", "plt.grid()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 115, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "h = [-1.5,1.5]\n", "\n", "x = np.linspace(-5,5,100)\n", "X,Y = np.meshgrid(x,x)\n", "\n", "plt.figure(figsize=(7,7))\n", "\n", "for r in np.linspace(0.5,3,20):\n", " for hi in h:\n", " Fxy = (X - hi)**2 + Y**2 - r**2\n", " plt.contour(X,Y,Fxy,0)\n", " \n", "plt.grid()\n", "plt.plot(h,[0,0],'k',linewidth=3)\n", "plt.axis('off')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 136, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Parâmetros\n", "a = 1\n", "b = 0.8\n", "h = 2\n", "k = 3\n", "\n", "axlim = 2*np.max((a,b)) + np.max((abs(h),abs(k)))\n", "x = np.linspace(-axlim,axlim,100)\n", "X,Y = np.meshgrid(x,x)\n", "\n", "# Criando a função\n", "hyperbola = (X - h)**2/a**2 - (Y - k)**2/b**2 - 1\n", "\n", "plt.figure(figsize=(10,7))\n", "plt.grid()\n", "plt.contour(X,Y,hyperbola,0)\n", "plt.plot(h,k,'ro',markersize=10)\n", "plt.plot([-axlim,axlim],[0,0],'k--')\n", "plt.plot([0,0],[-axlim,axlim],'k--')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 145, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "n = 30\n", "ab = np.linspace(1,5,n)\n", "\n", "axlim = 8\n", "\n", "x = np.linspace(-axlim,axlim,100)\n", "X,Y = np.meshgrid(x,x)\n", "\n", "plt.figure(figsize=(7,7))\n", "\n", "for i in range(n):\n", " f1 = X**2/ab[i]**2 - Y**2/ab[i]**2 - 1\n", " plt.contour(X,Y,f1,0,colors='k')\n", "\n", " f2 = -X**2/ab[i]**2 + Y**2/ab[i]**2 - 1\n", " plt.contour(X,Y,f2,0,colors='b')\n", "\n", "plt.axis('off')\n", "plt.show()" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.9" } }, "nbformat": 4, "nbformat_minor": 4 }