Why was the name quadratic chosen for second degree

Question

Quadratic is defined to be, "involving the second and no higher power of an unknown quantity or variable."

The word Quadratic always throws me off, since the number 4 immediately comes to mind, because of the Quad. Why was the name Quadratic chosen? Why couldn't something like 'Bi-atic equation be chosen'

Supposedly, an equation with the highest degree of 4 is called, quartic, which is again not very intuitive.

See http://english.stackexchange.com/questions/151217/why-does-quadratic-describe-second-power-when-quad-means-four — Ethan Bolker, Nov 09 '16 at 15:24
Yet another place where our conventions fall victim to tradition, like electrons being negative. — Arthur, Nov 09 '16 at 15:35

score 2 · Answer 1 · answered Nov 09 '16 at 15:26

When you compute the area of a square, you raise the edge at the power $2$. This is where the term "squaring a number" came from. Since "quad", as you correctly say, is the Latin root for "four", and a square has four edges, a squared algebraic expression became a synonym of for a quadratic algebraic expression.

Why was the name quadratic chosen for second degree

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