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Page créée avec « ==== Definition ==== A sphere is an ellipsoid with equal equatorial and polar radii. Assuming the XYZ coordinate system is such that the sphere is centered and axis-align... »

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==== Definition ====

A sphere is an ellipsoid with equal equatorial and polar radii. Assuming the XYZ coordinate system is such that the sphere is centered and axis-aligned, the spheres' equation is given by:

<center><math>\mathcal{S} = \left\{ (x, y, z) \in \mathbb{R}^3 \middle/ x^2 + y^2 + z^2 = r^2 \right\}</math></center>

[[File:sphere.PNG|center]]

==== Implementation ====
The Sphere object in the SIRIUS library implements the [MAT_GEO_EllipsoidInterface Ellipsoid interface]. Please refer to the [{{JavaDoc3.4.1}}/org/apache/commons/math3/geometry/euclidean/threed/Sphere.html Javadoc] for a complete list of public methods.

==== Instantiation ====

The sphere object is built from a centre (Vector3D) and a radius :

<syntaxhighlight lang="java">
Vector3D centre = new Vector3D(1.0, 5.0,-2.0);
double radius = 1.2;
Sphere sphere = new Sphere(centre, radius);
</syntaxhighlight>

==== Usage ====

Please refer to the [MAT_GEO_Home#HInteractions Interactions with other geometrical objects section] for methods inherited from the Shape interface.

User Manual 3.4.1 Spheres - Historique des versions

Admin : Page créée avec « ==== Definition ==== A sphere is an ellipsoid with equal equatorial and polar radii. Assuming the XYZ coordinate system is such that the sphere is centered and axis-align... »

Admin : Page créée avec « ==== Definition ==== A sphere is an ellipsoid with equal equatorial and polar radii. Assuming the XYZ coordinate system is such that the sphere is centered and axis-align... »