Khurram Wadee ✅<p>Just a simple demonstration here of the <a href="https://mastodon.org.uk/tags/locus" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>locus</span></a> of a <a href="https://mastodon.org.uk/tags/StraightLine" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>StraightLine</span></a> in <a href="https://mastodon.org.uk/tags/ThreeDimensionalSpace" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>ThreeDimensionalSpace</span></a> in <a href="https://mastodon.org.uk/tags/CartesianCoordinates" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>CartesianCoordinates</span></a> passing through a known point with <a href="https://mastodon.org.uk/tags/PositionVector" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>PositionVector</span></a> a and a direction d. A <a href="https://mastodon.org.uk/tags/Projection" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Projection</span></a> onto the x-y plane is also depicted.</p><p><a href="https://mastodon.org.uk/tags/AnimatedGif" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>AnimatedGif</span></a> <a href="https://mastodon.org.uk/tags/FreeSoftware" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>FreeSoftware</span></a> <a href="https://mastodon.org.uk/tags/WxMaxima" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>WxMaxima</span></a> <a href="https://mastodon.org.uk/tags/Mathematics" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Mathematics</span></a> <a href="https://mastodon.org.uk/tags/Maths" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Maths</span></a> <a href="https://mastodon.org.uk/tags/Geometry" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Geometry</span></a> <a href="https://mastodon.org.uk/tags/MyWork" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>MyWork</span></a> <a href="https://mastodon.org.uk/tags/CCBYSA" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>CCBYSA</span></a></p>
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#CartesianCoordinates
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Khurram Wadee ✅<p>My wife was looking at the properties of <a href="https://mastodon.org.uk/tags/ellipses" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>ellipses</span></a> such as the one where the sum of the distance of all points on the <a href="https://mastodon.org.uk/tags/ellipse" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>ellipse</span></a> from the two foci are the same and how that relates to the standard equation of an ellipse. I wrote these notes up neatly using <a href="https://mastodon.org.uk/tags/LaTeX" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>LaTeX</span></a> to explain the relationship.</p><p>To put it up here, I converted the <a href="https://mastodon.org.uk/tags/PostScript" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>PostScript</span></a> pages to <a href="https://mastodon.org.uk/tags/PNG" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>PNG</span></a> format using <a href="https://mastodon.org.uk/tags/GNU" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>GNU</span></a> <a href="https://mastodon.org.uk/tags/Gimp" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Gimp</span></a> and the figure was produced using <a href="https://mastodon.org.uk/tags/Tgif" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Tgif</span></a>.</p><p><a href="https://mastodon.org.uk/tags/Mathematics" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Mathematics</span></a> <a href="https://mastodon.org.uk/tags/Geometry" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Geometry</span></a> <a href="https://mastodon.org.uk/tags/TwoDimensional" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>TwoDimensional</span></a> <a href="https://mastodon.org.uk/tags/PlaneCurve" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>PlaneCurve</span></a> <a href="https://mastodon.org.uk/tags/CartesianCoordinates" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>CartesianCoordinates</span></a> <a href="https://mastodon.org.uk/tags/CCBYSA" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>CCBYSA</span></a></p>
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