Secant line a circle in the Euclidean plane, a line joining two of them would be a 2-secant (or "bisecant") and a line passing through only one of them would be a 1-secant (or "unisecant"). A unisecant in this example need not be a tangent line to the circle. This terminology is often used in incidence geometry and discrete geometry. For instance, the Sylvester–Gallai theorem of incidence geometry states that if points of Euclidean geometry are not collinear then there must exist a 2-secant of them. And the original orchard-planting problem of discrete geometry asks for a bound on the number of
All that is gold does not glitter All that is gold does not glitter "All That is Gold Does Not Glitter" (alternatively known as "The Riddle of Strider" or "Song of Aragorn") is a poem written by J. R. R. Tolkien for his fantasy novel "The Lord of the Rings". It alludes to an integral part of the plot that describes Aragorn, son of Arathorn. The poem appears twice in "The Fellowship of the Ring", the first volume of "The Lord of the Rings". It appears first in Chapter Ten, "Strider", in Gandalf's letter to Frodo Baggins in Bree, although when Frodo reads it he does not