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File:Conic x^2+2xy+y^2−8x=0.svg

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Original file (SVG file, nominally 743 × 470 pixels, file size: 98 KB)

Summary

Description
English: Graph of the conic
Italiano: Grafico della conica
Date
Source Own work
Author Krishnavedala
Other versions Graph of conic
 
W3C-validity not checked.

Python Script

Requirements: python-2.6 with numpy and matplotlib-1.0.1

from matplotlib.pyplot import *
from numpy import *
from mpl_toolkits.axes_grid.axislines import SubplotZero 

X = linspace(0,10,25)
Y = linspace(-5,5,25)
x, y = meshgrid(X,Y)

fig = figure(figsize=(10,6))
ax = SubplotZero(fig,111)
fig.add_subplot(ax)
for direction in ["xzero","yzero"]:
	ax.axis[direction].set_visible(True)
	ax.axis[direction].set_axisline_style("->")
for direction in ["top","bottom","left","right"]:
	ax.axis[direction].set_visible(False)
ax.axis["yzero"].set_axis_direction("left")
ax.grid(True)
ax.minorticks_on()

ax.contour(x,y, x**2 + 2.*x*y +y**2 - 8.*x, [0],linewidths=1.5,colors='r')
ax.text(1.75,-4.5,r'$x^2+2xy+y^2-8x=0$',color='r')
ax.arrow(.5,-1,0,5,color='orange',head_width=.1,head_length=.2)
ax.text(.75,4,r'$\bar{y}$',color='orange')
ax.arrow(-2.5,1.5,5.5,0,color='orange',head_width=.1,head_length=.2)
ax.text(3,1,r'$\bar{x}$',color='orange')
ax.plot(.5,1.5,'ko')
ax.text(.25,1.75,r'V')

ax.arrow(-4.5,-4.5,9,9,color='m',ls='dashed',lw=.5), ax.text(-4,-4,r'$x=y$',color='m')
ax.arrow(-5.5,-4.5,9,9,color='grey',ls='dashed',lw=.5), ax.text(-6,-3,r'$x=y-1$',color='grey')
ax.arrow(-2,-1,5,5,color='g',head_width=.2,head_length=.2), ax.text(2.9,4.2,r'$y$',color='g')
ax.arrow(-4.5,4.5,9,-9,color='c',ls='dashed',lw=.5), ax.text(-4,4,r'$x=-y$',color='c')
ax.arrow(-2.5,4.5,9,-9,color='b',ls='dashed',lw=.5), ax.text(-2,4,r'$x=y+2$',color='b')
ax.arrow(-1,3,4,-4,color='g',head_width=.2,head_length=.2), ax.text(2.5,-1,r'$x$',color='g')

ax.plot([0,1,2],[0,1,2],'ko')
ax.text(.1,.1,r'A'), ax.text(1.1,1,r'M'), ax.text(1.9,2.1,r'B')

#ax.text(10,.1,"x")
#ax.text(.1,5,"y")
xticks(arange(-6,11,1))
yticks(arange(-5,6,1))
ax.set_ylim(-5,5)
ax.set_xlim(-6,10)
fig.savefig("Test.svg",bbox_inches="tight",\
        pad_inches=.15)

Licensing

I, the copyright holder of this work, hereby publish it under the following license:
Creative Commons CC-Zero This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication.
The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.

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1 September 2011

image/svg+xml

9e6e36c6f2501f8f910b4d2bb8e86407b8f464db

99,950 byte

470 pixel

743 pixel

File history

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Date/TimeThumbnailDimensionsUserComment
current20:38, 1 September 2011Thumbnail for version as of 20:38, 1 September 2011743 × 470 (98 KB)Krishnavedala
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