Maurice Nicoll featured in Parabola's Fall 2008 issue: MAN & MACHINE © 2008 Parabola Magazine...
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Parabola has following properties. 1.The distance from the point on the parabola to focus is equal to the distance to directrix. (PF = PH)
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Parabola
In mathematics, the parabola (pronounced /pəˈræbələ/, from the Greek παραβολή) is a conic section generated by the intersection of a right circular conical surface and a plane parallel to a generating...
en.wikipedia.org/wiki/Parabola
How the parabola is used for focusing waves, studying motion, describing orbits, surveying and making bridges, and how to draw one Parabola is, of course, from Greek, and refers to a particular plane curve. The word parabolh means a "comparison," literally "a throwing beside." The accent is on the last syllable.
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Lesson 2: Find the vertex, focus, and directrix, and draw a graph of a parabola, given its equation. Lesson 3: Find the equation of our parabola when we are given the coordinates of its focus and vertex.
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The parabola described by the equation y = ax2 + bx + c can be quickly graphed by locating the vertex, the y-intercept and determining whether the parabola opens upward or downward. If a > 0 then the parabola opens upward and if a < 0 the parabola opens downward.
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Two negative pedals of the parabola {t,1/4 t^2} Like ellipse and hyperbola, there are many ways to define parabola. A common definition defines it as the locus of points P such that the distance from a line (called the directrix) to P is equal to the distance from P to a fixed point F (called the focus).
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The parabola was studied by Menaechmus who was a pupil of Plato and Eudoxus. He attempted to duplicate the cube, namely to find side of a cube that has a volume double that of a given cube. Pascal considered the parabola as a projection of a circle and Galileo showed that projectiles follow parabolic paths.
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Graph of a parabola, the constant function, the identity function, the absolute value function, the square root function, and the cubic function. In the parabola y = x², the coördinate pairs are (x, x²). We can see that the following points are on the graph: (1, 1), (−1, 1), (2, 4), (−2, 4), and so on.
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Parabola: several properties of parabola The parabola results when the plane is parallel to a generating line of the cone. This is an unbounded curve some of whose properties will be discussed and illustrated below.
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