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	<id>https://patrius.cnes.fr/index.php?action=history&amp;feed=atom&amp;title=User_Manual_4.0_Rectangular_cone</id>
	<title>User Manual 4.0 Rectangular cone - Historique des versions</title>
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	<updated>2026-04-09T18:40:20Z</updated>
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		<id>https://patrius.cnes.fr/index.php?title=User_Manual_4.0_Rectangular_cone&amp;diff=1694&amp;oldid=prev</id>
		<title>Admin le 5 avril 2018 à 07:40</title>
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		<updated>2018-04-05T07:40:06Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Version précédente&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Version du 5 avril 2018 à 07:40&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l7&quot;&gt;Ligne 7 :&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Ligne 7 :&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;==== Implementation ====&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;==== Implementation ====&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;The RectangleCone object in the SIRIUS library implements the [&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;MAT_GEO_ConeInterface &lt;/del&gt;Cone Interface]. Please refer to the [{{JavaDoc4.0}}/fr/cnes/sirius/patrius/math/geometry/euclidean/threed/RectangleCone.html Javadoc] for a complete list of public methods.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;The RectangleCone object in the SIRIUS library implements the [&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[User Manual 4.0 The &lt;/ins&gt;Cone Interface&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;|Cone Interface]&lt;/ins&gt;]. Please refer to the [{{JavaDoc4.0}}/fr/cnes/sirius/patrius/math/geometry/euclidean/threed/RectangleCone.html Javadoc] for a complete list of public methods.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;==== Instantiation ====&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;==== Instantiation ====&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;

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		<author><name>Admin</name></author>
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	<entry>
		<id>https://patrius.cnes.fr/index.php?title=User_Manual_4.0_Rectangular_cone&amp;diff=1597&amp;oldid=prev</id>
		<title>Admin : Page créée avec « ==== Definition ====  The rectangular cones are defined in a 3D space by their origin, their direction, height and the length and width of their base :  File:pyramid3.pn... »</title>
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		<updated>2018-04-04T08:42:50Z</updated>

		<summary type="html">&lt;p&gt;Page créée avec « ==== Definition ====  The rectangular cones are defined in a 3D space by their origin, their direction, height and the length and width of their base :  File:pyramid3.pn... »&lt;/p&gt;
&lt;p&gt;&lt;b&gt;Nouvelle page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;==== Definition ====&lt;br /&gt;
&lt;br /&gt;
The rectangular cones are defined in a 3D space by their origin, their direction, height and the length and width of their base :&lt;br /&gt;
&lt;br /&gt;
[[File:pyramid3.png|center]]&lt;br /&gt;
&lt;br /&gt;
==== Implementation ====&lt;br /&gt;
&lt;br /&gt;
The RectangleCone object in the SIRIUS library implements the [MAT_GEO_ConeInterface Cone Interface]. Please refer to the [{{JavaDoc4.0}}/fr/cnes/sirius/patrius/math/geometry/euclidean/threed/RectangleCone.html Javadoc] for a complete list of public methods.&lt;br /&gt;
&lt;br /&gt;
==== Instantiation ====&lt;br /&gt;
&lt;br /&gt;
The object is built from two vectors (Vector3D) and two doubles : &lt;br /&gt;
&lt;br /&gt;
&amp;lt;syntaxhighlight lang=&amp;quot;java&amp;quot;&amp;gt;&lt;br /&gt;
Vector3D originCone = new Vector3D(1.0, 1.0, 1.0);&lt;br /&gt;
Vector3D direction = new Vector3D(2.0, 0.0, 0.0);&lt;br /&gt;
double length = 4.0;&lt;br /&gt;
double width = 2.0;&lt;br /&gt;
double height = 5.0;&lt;br /&gt;
RectangleCone cone = new RectangleCone(originCone, axis, length, width, height);&lt;br /&gt;
&amp;lt;/syntaxhighlight&amp;gt;&lt;br /&gt;
&lt;br /&gt;
The local frame is built such as :&lt;br /&gt;
&lt;br /&gt;
* The axis is the W vector&lt;br /&gt;
* U is orthogonal to W and its direction is defined by the &amp;#039;input U vector&amp;quot;&lt;br /&gt;
* V completes the frame&lt;br /&gt;
&lt;br /&gt;
==== Usage ====&lt;br /&gt;
Please refer to the [MAT_GEO_Home#HInteractions Interactions with other geometrical objects section] for methods inherited from the Shape interface.&lt;/div&gt;</summary>
		<author><name>Admin</name></author>
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