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	<title>User Manual 4.0 Infinite Rectangle Cylinder - Historique des versions</title>
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		<id>https://patrius.cnes.fr/index.php?title=User_Manual_4.0_Infinite_Rectangle_Cylinder&amp;diff=1686&amp;oldid=prev</id>
		<title>Admin le 5 avril 2018 à 07:35</title>
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		<updated>2018-04-05T07:35:03Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&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 07:35&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-l5&quot;&gt;Ligne 5 :&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Ligne 5 :&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;====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; 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 Infinite Rectangle Cylinder object in the SIRIUS library implements the [&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;MAT_GEO_InfiniteCylinderInterface &lt;/del&gt;infinite cylinder interface] and has the following constructor and 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 Infinite Rectangle Cylinder object in the SIRIUS library implements the [&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[User Manual 4.0 The Infinite Cylinder Interface|&lt;/ins&gt;infinite cylinder interface&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;]&lt;/ins&gt;] and has the following constructor and 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;* InfiniteEllipticCylinder(Vector3D, Vector3D, double, double)&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;* InfiniteEllipticCylinder(Vector3D, Vector3D, double, double)&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_Infinite_Rectangle_Cylinder&amp;diff=1588&amp;oldid=prev</id>
		<title>Admin : Page créée avec « ====Definition==== The infinite rectangle cylinders are defined in a 3D space by their axis (a line or two equivalent vectors origin and direction), the direction of their... »</title>
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		<updated>2018-04-04T08:25:02Z</updated>

		<summary type="html">&lt;p&gt;Page créée avec « ====Definition==== The infinite rectangle cylinders are defined in a 3D space by their axis (a line or two equivalent vectors origin and direction), the direction of their... »&lt;/p&gt;
&lt;p&gt;&lt;b&gt;Nouvelle page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;====Definition====&lt;br /&gt;
The infinite rectangle cylinders are defined in a 3D space by their axis (a line or two equivalent vectors origin and direction), the direction of their local frame U vector and their two dimensions (length on the U axis and width on V) :&lt;br /&gt;
&lt;br /&gt;
[[File:cylindre3.png|center]]&lt;br /&gt;
&lt;br /&gt;
====Implementation====&lt;br /&gt;
The Infinite Rectangle Cylinder object in the SIRIUS library implements the [MAT_GEO_InfiniteCylinderInterface infinite cylinder interface] and has the following constructor and public methods :&lt;br /&gt;
&lt;br /&gt;
* InfiniteEllipticCylinder(Vector3D, Vector3D, double, double)&lt;br /&gt;
* intersects(Line) : boolean&lt;br /&gt;
* getIntersectionPoints(Line) : Vector3D[]&lt;br /&gt;
* closestPointTo(Line) : Vector3D[]&lt;br /&gt;
* distanceTo(Line) : double&lt;br /&gt;
&lt;br /&gt;
Please refer to the [{{JavaDoc4.0}}/fr/cnes/sirius/patrius/math/geometry/euclidean/threed/InfiniteRectangleCylinder.html Javadoc] for a complete list of public methods.&lt;br /&gt;
&lt;br /&gt;
====Instantiation====&lt;br /&gt;
The object is built from three 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 origin = new Vector3D(1.0, 1.0, 1.0);&lt;br /&gt;
Vector3D direction = new Vector3D(2.0, 0.0, 0.0);&lt;br /&gt;
Vector3D inputUvector = new Vector3D(1.0, 1.0, 0.0);&lt;br /&gt;
double length = 2.0;&lt;br /&gt;
double width = 4.0;&lt;br /&gt;
InfiniteRectangleCylindercylinder = new InfiniteRectangleCylinder(origin, direction, inputUvector, length, width);&lt;br /&gt;
&amp;lt;/syntaxhighlight&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Or directly from a Line, a non-colinear vector and two doubles :&lt;br /&gt;
&lt;br /&gt;
&amp;lt;syntaxhighlight lang=&amp;quot;java&amp;quot;&amp;gt;&lt;br /&gt;
Line axis = new Line(origin, direction);&lt;br /&gt;
Vector3D inputUvector = new Vector3D(1.0, 1.0, 0.0);&lt;br /&gt;
double length = 2.0;&lt;br /&gt;
double width = 4.0;&lt;br /&gt;
InfiniteRectangleCylindercylinder = new InfiniteRectangleCylinder(axis, inputUvector, length, width);&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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