parabolischer

Parabolischer is an inflected form of the German adjective parabolisch, meaning parabolic or relating to a parabola. It is used to describe shapes, curves and properties that have the form of a parabola. In German, parabolisch describes parabola-related concepts, and parabolischer appears in inflected contexts, for example: ein parabolischer Spiegel, eine parabolische Bahn, or die parabolische Kurve. The term is common in mathematics, physics, engineering and computer science where parabola-based concepts occur.

In mathematics, a parabola is the set of points equidistant from a fixed focus and a fixed directrix. The adjective parabolisch is used to denote features of this curve; parabolische Kurve describes the graph of a quadratic function, and parabolische Gleichung refers to equations of the form y = ax^2 + bx + c.

In optics and engineering, parabolic shapes are used for focusing light or signals, as in parabolische Spiegel (parabolic mirrors) and parabolische Antennenspiegels. In physics, a projectile under ideal conditions follows a parabolische Bahn (parabolic trajectory). These contexts use the same root with appropriate inflection to match grammar and gender.

Etymology and usage note: parabolisch derives from the Greek parabole, via Latin parabola, into German. The form parabolischer is the masculine nominative singular inflected form used with an indefinite article (ein parabolischer Spiegel); other genders and cases yield different endings.