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Reference.org
Third fundamental form
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<p>In <a href="/facts/Differential_geometry/c04XmyLu">differential geometry</a>, the third fundamental form is a surface metric denoted by I I I {\displaystyle \mathrm {I\!I\!I} } . Unlike the <a href="/facts/Second_fundamental_form/3Ihz5tEc">second fundamental form</a>, it is independent of the <a href="/facts/Surface_normal/jhtLIhcu">surface normal</a>. </p>