File:As wiki lgm parab.svg

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Original file(SVG file, nominally 512 × 414 pixels, file size: 726 KB)


English: Graph of a paraboloid, its level sets and two line constraints.
Date (UTC)
Source This file was derived from: As wiki lgm parab.pngAs wiki lgm parab.png

Matlab Logo.png
This diagram was created with MATLAB.

This is a retouched picture, which means that it has been digitally altered from its original version. Modifications: Vector version. The original can be viewed here: As wiki lgm parab.png. Modifications made by Zerodamage.


w:en:Creative Commons

attribution share alike

This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license.
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  • to share – to copy, distribute and transmit the work
  • to remix – to adapt the work
Under the following conditions:
  • attribution – You must attribute the work in the manner specified by the author or licensor (but not in any way that suggests that they endorse you or your use of the work).
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Source code[edit]

The graph was made in Matlab with the following source code. Corrected in Inkscape

% draw paraboloid level sets with lwo line constraints

parab = '(2*x)^2 + (3*y)^2 + 10';

l1_slope = 1.5;
l1_b = -1;

l2_slope = -1/l1_slope;
l2_b = l1_b-3;

figure (1);

hold off;
surface = ezsurf(parab);

hold on;
ezplot(['-y + ' num2str(l1_slope) '*x +' num2str(l1_b)]);
ezplot(['-y + ' num2str(l2_slope) '*x +' num2str(l2_b)]);
ezcontour(parab, 30);
set(gcf, 'Color', 'White');

%bug workaround to make Z-axis appear

%set shading
shading flat;

%plot2svg must be retrieved from

Original upload log[edit]

This image is a derivative work of the following images:

  • File:As_wiki_lgm_parab.png licensed with PD-self
    • 2010-05-25T19:03:37Z Andrebis 560x420 (39342 Bytes) {{Information |Description={{en|1=Graph of a paraboloid, its level sets and two line constraints.}} |Source={{own}} |Author=[[User:Andrebis|Andrebis]] |Date=2010-05-25 |Permission= |other_versions= }} Useful for visualizing t

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File history

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current10:05, 8 August 2012Thumbnail for version as of 10:05, 8 August 2012512 × 414 (726 KB)Zerodamage (talk | contribs)Layers, margins, scale bottom layer
09:53, 8 August 2012Thumbnail for version as of 09:53, 8 August 2012512 × 384 (743 KB)Zerodamage (talk | contribs)== {{int:filedesc}} == {{Information |Description={{en|1=Graph of a paraboloid, its level sets and two line constraints.}} |Source={{Derived from|As_wiki_lgm_parab.png|display=50}} |Date=2012-08-08 09:52 (UTC) |Author=*File:As_wiki_lgm_parab.png:...
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