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<a href="#pub-methods">Public Member Functions</a> &#124;
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<a href="../../d8/d15/class_o_n___sphere-members.html">List of all members</a> </div>
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<div class="title">ON_Sphere Class Reference</div> </div>
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<p><code>#include &lt;<a class="el" href="../../da/d54/opennurbs__sphere_8h_source.html">opennurbs_sphere.h</a>&gt;</code></p>
<table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-methods"></a>
Public Member Functions</h2></td></tr>
<tr class="memitem:aff012a4792aee2a238cdde2de6a38758"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d7/dd8/class_o_n___sphere.html#aff012a4792aee2a238cdde2de6a38758">ON_Sphere</a> ()</td></tr>
<tr class="separator:aff012a4792aee2a238cdde2de6a38758"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aab2deb95d7d85b5dd59deaa6d703c875"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d7/dd8/class_o_n___sphere.html#aab2deb95d7d85b5dd59deaa6d703c875">ON_Sphere</a> (const <a class="el" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> &amp;center, double <a class="el" href="../../d7/dd8/class_o_n___sphere.html#af36c2e8175ce68f09368c2158d5f41ee">radius</a>)</td></tr>
<tr class="memdesc:aab2deb95d7d85b5dd59deaa6d703c875"><td class="mdescLeft">&#160;</td><td class="mdescRight">center, radius <a href="#aab2deb95d7d85b5dd59deaa6d703c875">More...</a><br /></td></tr>
<tr class="separator:aab2deb95d7d85b5dd59deaa6d703c875"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a83d796845178b085a09624f278fc50d0"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d7/dd8/class_o_n___sphere.html#a83d796845178b085a09624f278fc50d0">~ON_Sphere</a> ()</td></tr>
<tr class="separator:a83d796845178b085a09624f278fc50d0"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a4f966e11f8ce8045200b6ac3f5642dc5"><td class="memItemLeft" align="right" valign="top"><a class="el" href="../../d1/d17/class_o_n___bounding_box.html">ON_BoundingBox</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d7/dd8/class_o_n___sphere.html#a4f966e11f8ce8045200b6ac3f5642dc5">BoundingBox</a> () const</td></tr>
<tr class="separator:a4f966e11f8ce8045200b6ac3f5642dc5"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a544fb2d25402fd4eb1006341a4860623"><td class="memItemLeft" align="right" valign="top"><a class="el" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d7/dd8/class_o_n___sphere.html#a544fb2d25402fd4eb1006341a4860623">Center</a> () const</td></tr>
<tr class="separator:a544fb2d25402fd4eb1006341a4860623"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a699bd13fd6020d91463d3816f2d10dcb"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d7/dd8/class_o_n___sphere.html#a699bd13fd6020d91463d3816f2d10dcb">ClosestPointTo</a> (<a class="el" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> test_point, double *longitude_radians, double *latitude_radians) const</td></tr>
<tr class="memdesc:a699bd13fd6020d91463d3816f2d10dcb"><td class="mdescLeft">&#160;</td><td class="mdescRight">returns parameters of point on sphere that is closest to given point <a href="#a699bd13fd6020d91463d3816f2d10dcb">More...</a><br /></td></tr>
<tr class="separator:a699bd13fd6020d91463d3816f2d10dcb"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:af35c58f310a71ebc654f76ec97eead7c"><td class="memItemLeft" align="right" valign="top"><a class="el" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d7/dd8/class_o_n___sphere.html#af35c58f310a71ebc654f76ec97eead7c">ClosestPointTo</a> (<a class="el" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> test_point) const</td></tr>
<tr class="memdesc:af35c58f310a71ebc654f76ec97eead7c"><td class="mdescLeft">&#160;</td><td class="mdescRight">returns point on sphere that is closest to given point <a href="#af35c58f310a71ebc654f76ec97eead7c">More...</a><br /></td></tr>
<tr class="separator:af35c58f310a71ebc654f76ec97eead7c"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a2f39f16c54bc3116f049ac95e0f491b6"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d7/dd8/class_o_n___sphere.html#a2f39f16c54bc3116f049ac95e0f491b6">Create</a> (const <a class="el" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> &amp;center, double <a class="el" href="../../d7/dd8/class_o_n___sphere.html#af36c2e8175ce68f09368c2158d5f41ee">radius</a>)</td></tr>
<tr class="memdesc:a2f39f16c54bc3116f049ac95e0f491b6"><td class="mdescLeft">&#160;</td><td class="mdescRight">center radius <a href="#a2f39f16c54bc3116f049ac95e0f491b6">More...</a><br /></td></tr>
<tr class="separator:a2f39f16c54bc3116f049ac95e0f491b6"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:afae693c2684533b6efea431ee5c677a5"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d7/dd8/class_o_n___sphere.html#afae693c2684533b6efea431ee5c677a5">Diameter</a> () const</td></tr>
<tr class="separator:afae693c2684533b6efea431ee5c677a5"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a099510400014ac74455d0551aa4bb204"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d7/dd8/class_o_n___sphere.html#a099510400014ac74455d0551aa4bb204">GetNurbForm</a> (<a class="el" href="../../de/ddc/class_o_n___nurbs_surface.html">ON_NurbsSurface</a> &amp;) const</td></tr>
<tr class="memdesc:a099510400014ac74455d0551aa4bb204"><td class="mdescLeft">&#160;</td><td class="mdescRight">parameterization of NURBS surface does not match sphere's transcendental paramaterization <a href="#a099510400014ac74455d0551aa4bb204">More...</a><br /></td></tr>
<tr class="separator:a099510400014ac74455d0551aa4bb204"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ab642c51044af6a618c03948110f1d33e"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d7/dd8/class_o_n___sphere.html#ab642c51044af6a618c03948110f1d33e">IsValid</a> () const</td></tr>
<tr class="separator:ab642c51044af6a618c03948110f1d33e"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a8aa7f1354a8a3354ed870b06643ea76c"><td class="memItemLeft" align="right" valign="top"><a class="el" href="../../d1/d1b/class_o_n___circle.html">ON_Circle</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d7/dd8/class_o_n___sphere.html#a8aa7f1354a8a3354ed870b06643ea76c">LatitudeDegrees</a> (double latitude_degrees) const</td></tr>
<tr class="separator:a8aa7f1354a8a3354ed870b06643ea76c"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ab49d6a8a185eca9754b2578d934e0762"><td class="memItemLeft" align="right" valign="top"><a class="el" href="../../d1/d1b/class_o_n___circle.html">ON_Circle</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d7/dd8/class_o_n___sphere.html#ab49d6a8a185eca9754b2578d934e0762">LatitudeRadians</a> (double latitude_radians) const</td></tr>
<tr class="separator:ab49d6a8a185eca9754b2578d934e0762"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a13945450b4234b7ac94ffaccd75b1275"><td class="memItemLeft" align="right" valign="top"><a class="el" href="../../d1/d1b/class_o_n___circle.html">ON_Circle</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d7/dd8/class_o_n___sphere.html#a13945450b4234b7ac94ffaccd75b1275">LongitudeDegrees</a> (double longitude_degrees) const</td></tr>
<tr class="separator:a13945450b4234b7ac94ffaccd75b1275"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aff15579610233151cf4e9e799a81dc94"><td class="memItemLeft" align="right" valign="top"><a class="el" href="../../d1/d1b/class_o_n___circle.html">ON_Circle</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d7/dd8/class_o_n___sphere.html#aff15579610233151cf4e9e799a81dc94">LongitudeRadians</a> (double longitude_radians) const</td></tr>
<tr class="separator:aff15579610233151cf4e9e799a81dc94"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:afc9a01083086d6abfef1e6668dd72c6d"><td class="memItemLeft" align="right" valign="top"><a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d7/dd8/class_o_n___sphere.html#afc9a01083086d6abfef1e6668dd72c6d">NormalAt</a> (double longitude_radians, double latitude_radians) const</td></tr>
<tr class="memdesc:afc9a01083086d6abfef1e6668dd72c6d"><td class="mdescLeft">&#160;</td><td class="mdescRight">longitude [0,2pi], latitude [-pi/2,pi/2] in radians <a href="#afc9a01083086d6abfef1e6668dd72c6d">More...</a><br /></td></tr>
<tr class="separator:afc9a01083086d6abfef1e6668dd72c6d"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a9f8f52c1eef93b5fe1f76b7d79ab6c19"><td class="memItemLeft" align="right" valign="top"><a class="el" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d7/dd8/class_o_n___sphere.html#a9f8f52c1eef93b5fe1f76b7d79ab6c19">NorthPole</a> () const</td></tr>
<tr class="separator:a9f8f52c1eef93b5fe1f76b7d79ab6c19"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a79fe885b0c33375435db5b6ec74331db"><td class="memItemLeft" align="right" valign="top"><a class="el" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d7/dd8/class_o_n___sphere.html#a79fe885b0c33375435db5b6ec74331db">PointAt</a> (double longitude_radians, double latitude_radians) const</td></tr>
<tr class="memdesc:a79fe885b0c33375435db5b6ec74331db"><td class="mdescLeft">&#160;</td><td class="mdescRight">longitude [0,2pi], latitude [-pi/2,pi/2] in radians <a href="#a79fe885b0c33375435db5b6ec74331db">More...</a><br /></td></tr>
<tr class="separator:a79fe885b0c33375435db5b6ec74331db"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a0ea7a2f276fb700083292e97e4bac71c"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d7/dd8/class_o_n___sphere.html#a0ea7a2f276fb700083292e97e4bac71c">Radius</a> () const</td></tr>
<tr class="separator:a0ea7a2f276fb700083292e97e4bac71c"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a9b9d02e40833934da013fa7cf3821744"><td class="memItemLeft" align="right" valign="top"><a class="el" href="../../d1/d37/class_o_n___rev_surface.html">ON_RevSurface</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d7/dd8/class_o_n___sphere.html#a9b9d02e40833934da013fa7cf3821744">RevSurfaceForm</a> (bool bArcLengthParameterization, <a class="el" href="../../d1/d37/class_o_n___rev_surface.html">ON_RevSurface</a> *srf=nullptr) const</td></tr>
<tr class="separator:a9b9d02e40833934da013fa7cf3821744"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a86ea7192cdd08a36d0c8543c88ba9034"><td class="memItemLeft" align="right" valign="top"><a class="el" href="../../d1/d37/class_o_n___rev_surface.html">ON_RevSurface</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d7/dd8/class_o_n___sphere.html#a86ea7192cdd08a36d0c8543c88ba9034">RevSurfaceForm</a> (<a class="el" href="../../d1/d37/class_o_n___rev_surface.html">ON_RevSurface</a> *srf=nullptr) const</td></tr>
<tr class="separator:a86ea7192cdd08a36d0c8543c88ba9034"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:af4c8c6203c45d41a169c611641c3095a"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d7/dd8/class_o_n___sphere.html#af4c8c6203c45d41a169c611641c3095a">Rotate</a> (double sin_angle, double cos_angle, const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;axis_of_rotation)</td></tr>
<tr class="memdesc:af4c8c6203c45d41a169c611641c3095a"><td class="mdescLeft">&#160;</td><td class="mdescRight">For intersections see ON_Intersect();. <a href="#af4c8c6203c45d41a169c611641c3095a">More...</a><br /></td></tr>
<tr class="separator:af4c8c6203c45d41a169c611641c3095a"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a35ab00ef8ca1987a90e31905b1a544a4"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d7/dd8/class_o_n___sphere.html#a35ab00ef8ca1987a90e31905b1a544a4">Rotate</a> (double angle_radians, const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;axis_of_rotation)</td></tr>
<tr class="separator:a35ab00ef8ca1987a90e31905b1a544a4"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a98d08a778e688ffd68622625baf7eae7"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d7/dd8/class_o_n___sphere.html#a98d08a778e688ffd68622625baf7eae7">Rotate</a> (double sin_angle, double cos_angle, const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;axis_of_rotation, const <a class="el" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> &amp;center_of_rotation)</td></tr>
<tr class="memdesc:a98d08a778e688ffd68622625baf7eae7"><td class="mdescLeft">&#160;</td><td class="mdescRight">rotate sphere about a point and axis <a href="#a98d08a778e688ffd68622625baf7eae7">More...</a><br /></td></tr>
<tr class="separator:a98d08a778e688ffd68622625baf7eae7"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:af3c7a1bcf7677122e5fa59bae8b1fe9e"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d7/dd8/class_o_n___sphere.html#af3c7a1bcf7677122e5fa59bae8b1fe9e">Rotate</a> (double angle_radians, const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;axis_of_rotation, const <a class="el" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> &amp;center_of_rotation)</td></tr>
<tr class="separator:af3c7a1bcf7677122e5fa59bae8b1fe9e"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a2b042d87f755df6b72c2a51b0f03970d"><td class="memItemLeft" align="right" valign="top"><a class="el" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d7/dd8/class_o_n___sphere.html#a2b042d87f755df6b72c2a51b0f03970d">SouthPole</a> () const</td></tr>
<tr class="separator:a2b042d87f755df6b72c2a51b0f03970d"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a0b95b65e584aa9e41d2961d45bec3fac"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d7/dd8/class_o_n___sphere.html#a0b95b65e584aa9e41d2961d45bec3fac">Transform</a> (const <a class="el" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a> &amp;)</td></tr>
<tr class="separator:a0b95b65e584aa9e41d2961d45bec3fac"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ae89fa30e93e24f5b9bed21b67aee5712"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d7/dd8/class_o_n___sphere.html#ae89fa30e93e24f5b9bed21b67aee5712">Translate</a> (const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;)</td></tr>
<tr class="separator:ae89fa30e93e24f5b9bed21b67aee5712"><td class="memSeparator" colspan="2">&#160;</td></tr>
</table><table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-attribs"></a>
Public Attributes</h2></td></tr>
<tr class="memitem:af029f32a6a37dba7f6fbd95e6ce9ae0e"><td class="memItemLeft" align="right" valign="top"><a class="el" href="../../d4/d48/class_o_n___plane.html">ON_Plane</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d7/dd8/class_o_n___sphere.html#af029f32a6a37dba7f6fbd95e6ce9ae0e">plane</a></td></tr>
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<tr class="memitem:af36c2e8175ce68f09368c2158d5f41ee"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d7/dd8/class_o_n___sphere.html#af36c2e8175ce68f09368c2158d5f41ee">radius</a></td></tr>
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<p>0 </p>
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<h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#aff012a4792aee2a238cdde2de6a38758">&#9670;&nbsp;</a></span>ON_Sphere() <span class="overload">[1/2]</span></h2>
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<td class="memname">ON_Sphere::ON_Sphere </td>
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<td class="memname">ON_Sphere::ON_Sphere </td>
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<td class="paramtype">const <a class="el" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> &amp;&#160;</td>
<td class="paramname"><em>center</em>, </td>
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<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>radius</em>&#160;</td>
</tr>
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<td></td>
<td>)</td>
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<p>center, radius </p>
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<h2 class="memtitle"><span class="permalink"><a href="#a83d796845178b085a09624f278fc50d0">&#9670;&nbsp;</a></span>~ON_Sphere()</h2>
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<td class="memname">ON_Sphere::~ON_Sphere </td>
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<h2 class="groupheader">Member Function Documentation</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#a4f966e11f8ce8045200b6ac3f5642dc5">&#9670;&nbsp;</a></span>BoundingBox()</h2>
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<td class="memname"><a class="el" href="../../d1/d17/class_o_n___bounding_box.html">ON_BoundingBox</a> ON_Sphere::BoundingBox </td>
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<td> const</td>
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<h2 class="memtitle"><span class="permalink"><a href="#a544fb2d25402fd4eb1006341a4860623">&#9670;&nbsp;</a></span>Center()</h2>
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<td class="memname"><a class="el" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> ON_Sphere::Center </td>
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<td> const</td>
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<h2 class="memtitle"><span class="permalink"><a href="#a699bd13fd6020d91463d3816f2d10dcb">&#9670;&nbsp;</a></span>ClosestPointTo() <span class="overload">[1/2]</span></h2>
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<td class="memname">bool ON_Sphere::ClosestPointTo </td>
<td>(</td>
<td class="paramtype"><a class="el" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a>&#160;</td>
<td class="paramname"><em>test_point</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">double *&#160;</td>
<td class="paramname"><em>longitude_radians</em>, </td>
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<td class="paramtype">double *&#160;</td>
<td class="paramname"><em>latitude_radians</em>&#160;</td>
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<td></td><td> const</td>
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<p>returns parameters of point on sphere that is closest to given point </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">longitude_radians</td><td>longitude [0,2pi) </td></tr>
<tr><td class="paramname">latitude_radians</td><td>latitude [-pi/2,pi/2] </td></tr>
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</dd>
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<h2 class="memtitle"><span class="permalink"><a href="#af35c58f310a71ebc654f76ec97eead7c">&#9670;&nbsp;</a></span>ClosestPointTo() <span class="overload">[2/2]</span></h2>
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<td class="memname"><a class="el" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> ON_Sphere::ClosestPointTo </td>
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<td class="paramname"><em>test_point</em></td><td>)</td>
<td> const</td>
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<p>returns point on sphere that is closest to given point </p>
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<h2 class="memtitle"><span class="permalink"><a href="#a2f39f16c54bc3116f049ac95e0f491b6">&#9670;&nbsp;</a></span>Create()</h2>
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<td class="memname">bool ON_Sphere::Create </td>
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<td class="paramtype">const <a class="el" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> &amp;&#160;</td>
<td class="paramname"><em>center</em>, </td>
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<td class="paramtype">double&#160;</td>
<td class="paramname"><em>radius</em>&#160;</td>
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<p>center radius </p>
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<h2 class="memtitle"><span class="permalink"><a href="#afae693c2684533b6efea431ee5c677a5">&#9670;&nbsp;</a></span>Diameter()</h2>
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<td class="memname">double ON_Sphere::Diameter </td>
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<td> const</td>
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<h2 class="memtitle"><span class="permalink"><a href="#a099510400014ac74455d0551aa4bb204">&#9670;&nbsp;</a></span>GetNurbForm()</h2>
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<td class="memname">int ON_Sphere::GetNurbForm </td>
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<td class="paramname"></td><td>)</td>
<td> const</td>
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<p>parameterization of NURBS surface does not match sphere's transcendental paramaterization </p>
<p>returns 0=failure, 2=success </p>
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<h2 class="memtitle"><span class="permalink"><a href="#ab642c51044af6a618c03948110f1d33e">&#9670;&nbsp;</a></span>IsValid()</h2>
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<td class="memname">bool ON_Sphere::IsValid </td>
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<td> const</td>
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<td class="memname"><a class="el" href="../../d1/d1b/class_o_n___circle.html">ON_Circle</a> ON_Sphere::LatitudeDegrees </td>
<td>(</td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>latitude_degrees</em></td><td>)</td>
<td> const</td>
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<h2 class="memtitle"><span class="permalink"><a href="#ab49d6a8a185eca9754b2578d934e0762">&#9670;&nbsp;</a></span>LatitudeRadians()</h2>
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<td class="memname"><a class="el" href="../../d1/d1b/class_o_n___circle.html">ON_Circle</a> ON_Sphere::LatitudeRadians </td>
<td>(</td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>latitude_radians</em></td><td>)</td>
<td> const</td>
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<h2 class="memtitle"><span class="permalink"><a href="#a13945450b4234b7ac94ffaccd75b1275">&#9670;&nbsp;</a></span>LongitudeDegrees()</h2>
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<td class="memname"><a class="el" href="../../d1/d1b/class_o_n___circle.html">ON_Circle</a> ON_Sphere::LongitudeDegrees </td>
<td>(</td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>longitude_degrees</em></td><td>)</td>
<td> const</td>
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<h2 class="memtitle"><span class="permalink"><a href="#aff15579610233151cf4e9e799a81dc94">&#9670;&nbsp;</a></span>LongitudeRadians()</h2>
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<td class="memname"><a class="el" href="../../d1/d1b/class_o_n___circle.html">ON_Circle</a> ON_Sphere::LongitudeRadians </td>
<td>(</td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>longitude_radians</em></td><td>)</td>
<td> const</td>
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<h2 class="memtitle"><span class="permalink"><a href="#afc9a01083086d6abfef1e6668dd72c6d">&#9670;&nbsp;</a></span>NormalAt()</h2>
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<td class="memname"><a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> ON_Sphere::NormalAt </td>
<td>(</td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>longitude_radians</em>, </td>
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<td class="paramtype">double&#160;</td>
<td class="paramname"><em>latitude_radians</em>&#160;</td>
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<td></td>
<td>)</td>
<td></td><td> const</td>
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<p>longitude [0,2pi], latitude [-pi/2,pi/2] in radians </p>
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<h2 class="memtitle"><span class="permalink"><a href="#a9f8f52c1eef93b5fe1f76b7d79ab6c19">&#9670;&nbsp;</a></span>NorthPole()</h2>
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<td class="memname"><a class="el" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> ON_Sphere::NorthPole </td>
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<td class="paramname"></td><td>)</td>
<td> const</td>
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<h2 class="memtitle"><span class="permalink"><a href="#a79fe885b0c33375435db5b6ec74331db">&#9670;&nbsp;</a></span>PointAt()</h2>
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<td class="memname"><a class="el" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> ON_Sphere::PointAt </td>
<td>(</td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>longitude_radians</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>latitude_radians</em>&#160;</td>
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<td></td>
<td>)</td>
<td></td><td> const</td>
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<p>longitude [0,2pi], latitude [-pi/2,pi/2] in radians </p>
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<h2 class="memtitle"><span class="permalink"><a href="#a0ea7a2f276fb700083292e97e4bac71c">&#9670;&nbsp;</a></span>Radius()</h2>
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<td class="memname">double ON_Sphere::Radius </td>
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<td class="paramname"></td><td>)</td>
<td> const</td>
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<h2 class="memtitle"><span class="permalink"><a href="#a9b9d02e40833934da013fa7cf3821744">&#9670;&nbsp;</a></span>RevSurfaceForm() <span class="overload">[1/2]</span></h2>
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<td class="memname"><a class="el" href="../../d1/d37/class_o_n___rev_surface.html">ON_RevSurface</a>* ON_Sphere::RevSurfaceForm </td>
<td>(</td>
<td class="paramtype">bool&#160;</td>
<td class="paramname"><em>bArcLengthParameterization</em>, </td>
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<td class="paramtype"><a class="el" href="../../d1/d37/class_o_n___rev_surface.html">ON_RevSurface</a> *&#160;</td>
<td class="paramname"><em>srf</em> = <code>nullptr</code>&#160;</td>
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<p>Description: Creates a surface of revolution definition of the sphere. Parameters: bArcLengthParameterization - [in] true: The domain will be set to (0,radius*2*pi)x(-radius*pi/2,radius*pi/2) false: The domain will be set to (0,2*pi)x(-pi/2,pi/2) srf - [in] if not nullptr, then this srf is used. Result: A surface of revolution or nullptr if the sphere is not valid. </p>
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<h2 class="memtitle"><span class="permalink"><a href="#a86ea7192cdd08a36d0c8543c88ba9034">&#9670;&nbsp;</a></span>RevSurfaceForm() <span class="overload">[2/2]</span></h2>
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<td class="memname"><a class="el" href="../../d1/d37/class_o_n___rev_surface.html">ON_RevSurface</a>* ON_Sphere::RevSurfaceForm </td>
<td>(</td>
<td class="paramtype"><a class="el" href="../../d1/d37/class_o_n___rev_surface.html">ON_RevSurface</a> *&#160;</td>
<td class="paramname"><em>srf</em> = <code>nullptr</code></td><td>)</td>
<td> const</td>
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<h2 class="memtitle"><span class="permalink"><a href="#af4c8c6203c45d41a169c611641c3095a">&#9670;&nbsp;</a></span>Rotate() <span class="overload">[1/4]</span></h2>
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<td class="memname">bool ON_Sphere::Rotate </td>
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<td class="paramtype">double&#160;</td>
<td class="paramname"><em>sin_angle</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>cos_angle</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;&#160;</td>
<td class="paramname"><em>axis_of_rotation</em>&#160;</td>
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<p>For intersections see ON_Intersect();. </p>
<p>rotate sphere about its origin </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">sin_angle</td><td>sin(angle) </td></tr>
<tr><td class="paramname">cos_angle</td><td>cos(angle) </td></tr>
<tr><td class="paramname">axis_of_rotation</td><td>axis of rotation </td></tr>
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</dd>
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<h2 class="memtitle"><span class="permalink"><a href="#a35ab00ef8ca1987a90e31905b1a544a4">&#9670;&nbsp;</a></span>Rotate() <span class="overload">[2/4]</span></h2>
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<td class="memname">bool ON_Sphere::Rotate </td>
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<td class="paramtype">double&#160;</td>
<td class="paramname"><em>angle_radians</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;&#160;</td>
<td class="paramname"><em>axis_of_rotation</em>&#160;</td>
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<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">angle_radians</td><td>angle in radians </td></tr>
<tr><td class="paramname">axis_of_rotation</td><td>axis of rotation </td></tr>
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<h2 class="memtitle"><span class="permalink"><a href="#a98d08a778e688ffd68622625baf7eae7">&#9670;&nbsp;</a></span>Rotate() <span class="overload">[3/4]</span></h2>
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<td class="memname">bool ON_Sphere::Rotate </td>
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<td class="paramtype">double&#160;</td>
<td class="paramname"><em>sin_angle</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>cos_angle</em>, </td>
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<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;&#160;</td>
<td class="paramname"><em>axis_of_rotation</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> &amp;&#160;</td>
<td class="paramname"><em>center_of_rotation</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
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<p>rotate sphere about a point and axis </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">sin_angle</td><td>sin(angle) </td></tr>
<tr><td class="paramname">cos_angle</td><td>cos(angle) </td></tr>
<tr><td class="paramname">axis_of_rotation</td><td>axis of rotation </td></tr>
<tr><td class="paramname">center_of_rotation</td><td>center of rotation </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="af3c7a1bcf7677122e5fa59bae8b1fe9e"></a>
<h2 class="memtitle"><span class="permalink"><a href="#af3c7a1bcf7677122e5fa59bae8b1fe9e">&#9670;&nbsp;</a></span>Rotate() <span class="overload">[4/4]</span></h2>
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<div class="memproto">
<table class="memname">
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<td class="memname">bool ON_Sphere::Rotate </td>
<td>(</td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>angle_radians</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;&#160;</td>
<td class="paramname"><em>axis_of_rotation</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> &amp;&#160;</td>
<td class="paramname"><em>center_of_rotation</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
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<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">angle_radians</td><td>angle in radians </td></tr>
<tr><td class="paramname">axis_of_rotation</td><td>axis of rotation </td></tr>
<tr><td class="paramname">center_of_rotation</td><td>center of rotation </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a2b042d87f755df6b72c2a51b0f03970d"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a2b042d87f755df6b72c2a51b0f03970d">&#9670;&nbsp;</a></span>SouthPole()</h2>
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<tr>
<td class="memname"><a class="el" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> ON_Sphere::SouthPole </td>
<td>(</td>
<td class="paramname"></td><td>)</td>
<td> const</td>
</tr>
</table>
</div><div class="memdoc">
</div>
</div>
<a id="a0b95b65e584aa9e41d2961d45bec3fac"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a0b95b65e584aa9e41d2961d45bec3fac">&#9670;&nbsp;</a></span>Transform()</h2>
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<td class="memname">bool ON_Sphere::Transform </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a> &amp;&#160;</td>
<td class="paramname"></td><td>)</td>
<td></td>
</tr>
</table>
</div><div class="memdoc">
</div>
</div>
<a id="ae89fa30e93e24f5b9bed21b67aee5712"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ae89fa30e93e24f5b9bed21b67aee5712">&#9670;&nbsp;</a></span>Translate()</h2>
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<div class="memproto">
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<tr>
<td class="memname">bool ON_Sphere::Translate </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;&#160;</td>
<td class="paramname"></td><td>)</td>
<td></td>
</tr>
</table>
</div><div class="memdoc">
</div>
</div>
<h2 class="groupheader">Member Data Documentation</h2>
<a id="af029f32a6a37dba7f6fbd95e6ce9ae0e"></a>
<h2 class="memtitle"><span class="permalink"><a href="#af029f32a6a37dba7f6fbd95e6ce9ae0e">&#9670;&nbsp;</a></span>plane</h2>
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<td class="memname"><a class="el" href="../../d4/d48/class_o_n___plane.html">ON_Plane</a> ON_Sphere::plane</td>
</tr>
</table>
</div><div class="memdoc">
<p>equitorial plane </p>
</div>
</div>
<a id="af36c2e8175ce68f09368c2158d5f41ee"></a>
<h2 class="memtitle"><span class="permalink"><a href="#af36c2e8175ce68f09368c2158d5f41ee">&#9670;&nbsp;</a></span>radius</h2>
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<tr>
<td class="memname">double ON_Sphere::radius</td>
</tr>
</table>
</div><div class="memdoc">
<p><blockquote class="doxtable">
<p>0 </p>
</blockquote>
</p>
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