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    <title>MaplePrimes - answers and comments on Question, intersection</title>
    <link>http://www.mapleprimes.com/questions/37922-Intersection</link>
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    <copyright>2026 Maplesoft, A Division of Waterloo Maple Inc.</copyright>
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    <lastBuildDate>Tue, 16 Jun 2026 12:39:47 GMT</lastBuildDate>
    <pubDate>Tue, 16 Jun 2026 12:39:47 GMT</pubDate>
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    <itunes:summary />
    <description>The latest answers and comments added to the Question, intersection</description>
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      <url>http://www.mapleprimes.com/images/mapleprimeswhite.jpg</url>
      <title>MaplePrimes - answers and comments on Question, intersection</title>
      <link>http://www.mapleprimes.com/questions/37922-Intersection</link>
    </image>
    <item>
      <title>Could you provide some</title>
      <link>http://www.mapleprimes.com/questions/37922-Intersection?ref=Feed:MaplePrimes:intersection:Comments#answer67600</link>
      <itunes:summary>&lt;pre&gt;
Could you provide some values/definitions for a5, n1, n2, n3? 

Moreover,

&gt; restart; with(plots); 
&gt; spacecurve({[x, y, z]}, t = 0 .. Pi, scaling = constrained, 
color = blue, thickness = 3)

returns a blank 3d-plot on my system (Maple 12.02, Mac OS X).

Also, I cannot see the pictures you posted for I get the 
following error message:

"Safari can’t open the page
“http://c:/Users/sarper/AppData/Local/Temp/moz-screenshot-1.jpg”
because it can’t find the server “c”." 

Apparently the links you posted do not point to any Maplesolft's servers.

Regards,
--Jean-Marc
&lt;/pre&gt;</itunes:summary>
      <description>&lt;pre&gt;
Could you provide some values/definitions for a5, n1, n2, n3? 

Moreover,

&gt; restart; with(plots); 
&gt; spacecurve({[x, y, z]}, t = 0 .. Pi, scaling = constrained, 
color = blue, thickness = 3)

returns a blank 3d-plot on my system (Maple 12.02, Mac OS X).

Also, I cannot see the pictures you posted for I get the 
following error message:

"Safari can’t open the page
“http://c:/Users/sarper/AppData/Local/Temp/moz-screenshot-1.jpg”
because it can’t find the server “c”." 

Apparently the links you posted do not point to any Maplesolft's servers.

Regards,
--Jean-Marc
&lt;/pre&gt;</description>
      <guid>67600</guid>
      <pubDate>Mon, 09 Feb 2009 17:19:11 Z</pubDate>
      <itunes:author>gulliet</itunes:author>
      <author>gulliet</author>
    </item>
    <item>
      <title>Great circles</title>
      <link>http://www.mapleprimes.com/questions/37922-Intersection?ref=Feed:MaplePrimes:intersection:Comments#answer67596</link>
      <itunes:summary>&lt;p&gt;Do you want to find the intersections, or do you want to plot them?&lt;/p&gt;
&lt;p&gt;A great circle is determined by two points on the sphere (not equal or antipodal).&lt;/p&gt;
&lt;p&gt;The simplest way to represent the great circle is using cartesian coordinates: it is the intersection with the sphere of the plane whose normal is the cross product of your two points.&amp;nbsp; The intersection of the two planes will be the line in the direction of the cross product of the two normals.&amp;nbsp; Thus the intersections of the great circle through a and b with the great circle through c and d are (in the notation of the VectorCalculus package)&amp;nbsp; R*n/sqrt(n.n) and -R*n/sqrt(n.n) where n = (a &amp;amp;x b) &amp;amp;x (c &amp;amp;x d) and R is the radius of the sphere.&lt;/p&gt;</itunes:summary>
      <description>&lt;p&gt;Do you want to find the intersections, or do you want to plot them?&lt;/p&gt;
&lt;p&gt;A great circle is determined by two points on the sphere (not equal or antipodal).&lt;/p&gt;
&lt;p&gt;The simplest way to represent the great circle is using cartesian coordinates: it is the intersection with the sphere of the plane whose normal is the cross product of your two points.&amp;nbsp; The intersection of the two planes will be the line in the direction of the cross product of the two normals.&amp;nbsp; Thus the intersections of the great circle through a and b with the great circle through c and d are (in the notation of the VectorCalculus package)&amp;nbsp; R*n/sqrt(n.n) and -R*n/sqrt(n.n) where n = (a &amp;amp;x b) &amp;amp;x (c &amp;amp;x d) and R is the radius of the sphere.&lt;/p&gt;</description>
      <guid>67596</guid>
      <pubDate>Tue, 10 Feb 2009 02:24:47 Z</pubDate>
      <itunes:author>Robert Israel</itunes:author>
      <author>Robert Israel</author>
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