The word "quad" generally means 4. Quadratics don't have 4 of anything. Can anyone explain where the name comes from?
Why are quadratic equations called quadratics?
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$\begingroup$
algebra-precalculus
terminology
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6Quadrat is the german word for Square. – 2010-09-14
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3http://mathforum.org/library/drmath/view/57456.html gives some history. – 2010-09-14
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2In Dutch, a quadratic equation is called a 'vierkantsvergelijking' - which translates back to 'square equation' (vier = four, kant = side, vergelijking = equation). – 2010-09-14
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0@yatima2975 - I've always learnt it as 'kwadratische vergelijking' (quadratic equation). However, the Dutch word 'kwadraat' is square in English. – 2010-10-15
1 Answers
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From MathWorld:
The Latin prefix quadri- is used to indicate the number 4, for example, quadrilateral, quadrant, etc. However, it also very commonly used to denote objects involving the number 2. This is the case because quadratum is the Latin word for square, and since the area of a square of side length $x$ is given by $x^2$, a polynomial equation having exponent two is known as a quadratic ("square-like") equation. By extension, a quadratic surface is a second-order algebraic surface.
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2The Latin is also why you hear Spanish words like *cuadrado*. – 2010-09-14