From: alberto sartori Date: Mon, 29 Feb 2016 14:52:44 +0000 (+0100) Subject: direction vector --> tangent vector X-Git-Tag: v8.5.0-rc1~1267^2 X-Git-Url: https://gitweb.dealii.org/cgi-bin/gitweb.cgi?a=commitdiff_plain;h=c7375cb9e83732cda5d46b2c76dcbf5d767943b9;p=dealii.git direction vector --> tangent vector --- diff --git a/include/deal.II/grid/manifold.h b/include/deal.II/grid/manifold.h index 6018d0a039..df0284b85f 100644 --- a/include/deal.II/grid/manifold.h +++ b/include/deal.II/grid/manifold.h @@ -131,11 +131,11 @@ namespace Manifolds * specific way, rather than to have unit norm. See the documentation of * Manifold::get_tangent_vector(), as well as below, for more information. * - * In the simplest case (namely, the FlatManifold class), these direction + * In the simplest case (namely, the FlatManifold class), these tangent * vectors are just the difference vector between the two given points. * However, in more complicated (and more interesting) cases, the direction may * be different. For example, for the SphericalManifold case, if the two given - * points lie on a common grand circle around the origin, then the direction + * points lie on a common grand circle around the origin, then the tangent * vector will be tangential to the grand circle, rather than pointing straight * from one point to the other. * @@ -351,10 +351,10 @@ public: * via a metric specific to a particular implementation of this class in a * derived class. For example, in the case of a FlatManifold, the shortest * line between two points is just the straight line, and in this case the - * direction vector is just the difference $\mathbf d=\mathbf x_2-\mathbf x_1$. + * tangent vector is just the difference $\mathbf d=\mathbf x_2-\mathbf x_1$. * On the other hand, for a manifold that describes a surface embedded in * a higher dimensional space (e.g., the surface of a sphere), then the - * direction vector is tangential to the surface, and consequently may point in + * tangent vector is tangential to the surface, and consequently may point in * a different direction than the straight line that connects the two points. * * While tangent vectors are often normalized to unit length, the vectors