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 and danger. Line seven refers to the sword Narsil. Line eight foreshadows the crownless Aragorn's accession to the throne of both the kingless Gondor and the vanished Arnor. Older editions of "The Lord of the Rings" indexed the poem as "The Riddle of Strider". From the 50th anniversary edition of 2005 on, the new, enlarged index by Wayne G. Hammond and Christina Scull list it as "All that is gold does not glitter". Early versions of the poem are recorded in "The Treason of Isengard", part of "The History of Middle-earth" book series by Christopher Tolkien. The first draft of