Mathematical Curves

noun a curve formed by a flexible chain or string hanging freely from two points and forming a U shape

adjective relating to or resembling a catenary

• The catenary curve is the shape that a hanging chain or cable takes under its own weight when supported only at its ends.
• The catenary of the suspension bridge is really cool to look at.
• That catenary curve is like a perfect swoop, man.
• The catenary of life's challenges can be unpredictable but beautiful in its own way.

noun a regular oval shape, traced by a point moving in a plane so that the sum of its distances from two other points (the foci) is constant, or resulting when a cone is cut by an oblique plane that does not intersect the base

• The shape of the orbit of a planet around the sun is an ellipse.
• I drew an ellipse for the base of the vase I'm designing.
• That oval-shaped pool is actually an ellipse.
• Her path to success was not a straight line but more of an ellipse, with ups and downs along the way.

noun a spiral or scroll-shaped ornament, especially on a capital in architecture

• The volute is a spiral or scroll-like ornament often found in classical architecture.
• The volute on top of the column adds a nice touch to the building.
• Check out the cool volute design on that old building.
• Her thoughts spiraled like a volute, going around and around without a clear direction.