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In the theory of quadratic forms, the parabola is the graph of the quadratic form x 2 (or other scalings), while the elliptic paraboloid is the graph of the positive-definite quadratic form x 2 + y 2 (or scalings), and the hyperbolic paraboloid is the graph of the indefinite quadratic form x 2 − y 2. Generalizations to more variables yield ...
Conic Sections/Parabola; Usage on en.wiktionary.org parabola; parabel; parabol; পরাবৃত্ত; Usage on eo.wikipedia.org Parabolo (matematiko) Linio (geometrio) Usage on es.wikipedia.org Curva convexa; Usage on et.wikipedia.org Tasandiline joon; Usage on eu.wikipedia.org Parabola (matematika) Kurba (matematika) Usage on fa.wikipedia ...
Print/export Download as PDF; Printable version; ... Pages in category "Parabolas" The following 8 pages are in this category, out of 8 total.
In this position, the hyperbolic paraboloid opens downward along the x-axis and upward along the y-axis (that is, the parabola in the plane x = 0 opens upward and the parabola in the plane y = 0 opens downward). Any paraboloid (elliptic or hyperbolic) is a translation surface, as it can be generated by a moving parabola directed by a second ...