Classic algebraic curves:  An algebraic curve is the set of points (for example, on a graph) that satisfy an algebraic equation.  Classic curves have been named for historical reasons in the past, often associated with the name of the person who created it.

Geometric constructions:  Construction in geometry means to draw shapes, angles, or lines accurately.  These constructions use
only compass and straightedge (ruler).  This is the "pure" form of geometric construction--no numbers involved!

Geometer’s Sketchpad® is a software application of dynamic geometry (which can act as the modern equivalent of a compass and straight-edge).  The software is used in many schools to teach mathematics and is available from McGraw-Hill Education, with whom I have no financial interest or connection.