Normal (geometry) Normal (geometry) In geometry, a normal is an object such as a line or vector that is perpendicular to a given object. For example, in two dimensions, the normal line to a curve at a given point is the line perpendicular to the tangent line to the curve at the point. In three dimensions, a surface normal, or simply normal, to a surface at a point "P" is a vector that is perpendicular to the tangent plane to that surface at "P". The word "normal" is also used as an adjective: a line normal to a plane, the normal component
All that is gold does not glitter the poem, which at that stage of composition was the only content of Gandalf's letter, reads: The second quatrain was added during the following revision: The lines were changed in stages, with many experimental forms rejected. Christopher Tolkien also suggested that ""the Sword that was Broken" ["Narsil"]" actually emerged from the verse 'All that is gold does not glitter' in the version cited above. On this view, the words ""a king may yet be without crown, A blade that was broken be brandished"" were no more than a further exemplification of the general moral. All that is gold does not