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&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 [{{JavaDoc3.4.1}}/org/apache/commons/math3/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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