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 glitters is not gold wrote "Do not hold everything gold that shines like gold" in 1175. Chaucer gave two early versions in English: ""But al thyng which that shyneth as the gold / Nis nat gold, as that I have herd it told"" in "The Canon's Yeoman's Tale", and ""Hyt is not al golde that glareth"" in "The House of Fame". The popular form of the expression is a derivative of a line in William Shakespeare's play "The Merchant of Venice", which employs the word "glisters," a 17th-century synonym for "glitters." The line comes from a secondary plot of the play, the puzzle of