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		<summary type="html">&lt;p&gt;Page créée avec « ====Definition==== The elliptic cylinders are defined in a 3D space by their origin, their local frame, their height and the two radii defining the elliptic basis :  Fil... »&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 elliptic cylinders are defined in a 3D space by their origin, their local frame, their height and the two radii defining the elliptic basis :&lt;br /&gt;
&lt;br /&gt;
[[File:ellipticCylinderFinite.PNG|center]]&lt;br /&gt;
&lt;br /&gt;
====Implementation====&lt;br /&gt;
The Elliptic Cylinder object in the SIRIUS library implements the [MAT_GEO_CylinderInterface cylinder interface]. Please refer to the [{{JavaDoc3.4.1}}/org/apache/commons/math3/geometry/euclidean/threed/EllipticCylinder.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 three 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;
Vector3D inputUvector = new Vector3D(1.0, 1.0, 0.0);&lt;br /&gt;
double radiusA = 4.0;&lt;br /&gt;
double radiusB = 2.0;&lt;br /&gt;
double height = 5.0;&lt;br /&gt;
EllipticCylinder cylinder = new EllipticCylinder(originCone, direction, inputUvector, radiusA, radiusB, 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;
* W is the direction vector once normalized&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>
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