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 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