Origin of parabolaModern Latin from Classical Greek parabol?, literally , application, comparison (see parable): it is produced by the “application” of a given area to a given straight line
The architectural structure of the Umbracle in Valencia, Spain is an example of a parabola.
A u-shaped graph of a quadratic function is an example of a parabola.
Origin of parabolaNew Latin from Greek parabolē comparison, application, parabola (from the relationship between the line joining the vertices of a conic and the line through its focus and parallel to its directrix) from paraballein to compare ; see parable .
Any point on a parabola is the same distance from the directrix as it is from the focus (F). AC equals CF and BD equals DF.
(plural parabolas or parabolae or parabolÃ¦)
- (geometry) The conic section formed by the intersection of a cone with a plane parallel to a tangent plane to the cone; the locus of points equidistant from a fixed point (the focus) and line (the directrix).
- (rhetoric) The explicit drawing of a parallel between two essentially dissimilar things, especially with a moral or didactic purpose. A parable.
From Ancient Greek Ï€Î±ÏÎ±Î²Î¿Î»Î® (parabolÄ“), from Ï€Î±ÏÎ±Î²Î¬Î»Î»Ï‰ (paraballÅ, “I set side by side"), from Ï€Î±ÏÎ¬ (para, “beside") + Î²Î¬Î»Î»Ï‰ (ballÅ, “I throw").
- Which is the equation of the parabola in question.
- By joining the points so obtained the parabola may be described.
- 6) be any arc of a parabola; and suppose we require the area of the figure bounded by this arc and the chord AB.
- Thus we find from (i) that Simpson's second formula, for the case where the top is a parabola (with axis, as before, at right angles to the base) and there are three strips of breadth h, may be replaced by area = 8h(3u i + 2U 1 + 3us).
- - The parabola affords a simple example of the use of infinitesimals.