quadratisch
square
Definition & meaning
The word quadratisch primarily describes something that has the shape of a square. In geometry, this means an object has four sides of equal length and four right angles.
It has two main applications:
- Geometric/Visual: Describing the physical shape of an object. For example, a "quadratischer Tisch" is a square table.
- Mathematical: Referring to the second power of a number or a variable. In algebra, a "quadratische Gleichung" is a quadratic equation, where the highest exponent of the variable is two (x²).
Grammar & Word origin
The word is an adjective. Its form changes based on the gender, case, and number of the noun it describes (e.g., ein quadratischer Kasten, eine quadratische Fläche, ein quadratisches Zimmer).
It is derived from the German noun Quadrat, which comes from the Latin word "quadratum" (meaning square). The suffix "-isch" is used in German to turn nouns into adjectives, similar to the English suffix "-ic" or "-ish".
Synonyms & antonyms
Synonyms
- viereckig (four-cornered / quadrangular)
- gleichseitig (equilateral - specifically when referring to the equal length of sides)
- rechtwinklig (right-angled)
Antonyms
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Examples
Das Fenster hat eine quadratische Form.adjective
The window has a square shape.
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