Definitions
American Heritage® Dictionary of the English Language, Fourth Edition 1.n. A plane curve, especially:
2.n. A conic section whose plane is not parallel to the axis, base, or generatrix of the intersected cone. 3.n. The locus of points for which the sum of the distances from each point to two fixed points is equal. 4.n. Ellipsis.

Century Dictionary and Cyclopedia
1.n. In geometry, a plane curve such that the sums of the distances of each point in its periphery from two fixed points, the foci, are equal. It is a conic section (see conic) formed by the intersection of a cone by a plane which cuts obliquely the axis and the opposite sides of the cone. The ellipse is a conic which does not extend to infinity, and whose intersections with the line at infinity are imaginary. Every ellipse has a center, which is a point such that it bisects every chord passing through it. Such chords are called diameters of the ellipse. A pair of conjugate diameters bisect, each of them, all chords parallel to the other. The longest diameter is called the transverse axis, also the latus transversum; it passes through the foci. The shortest diameter is called the conjugate axis. The extremities of the transverse axis are called the vertices. (See conic, eccentricity, angle.) An ellipse may also be regarded as a flattened circle—that is, as a circle all the chords of which parallel to a given chord have been shortened in a fixed ratio by cutting off equal lengths from the two extremities. The two lines from the foci to any point of an ellipse make equal angles with the tangent at that point. To construct an ellipse, assume any line whatever, AB, to be what is called the latus rectum. At its extremity erect the perpendicular AD of any length, called the latus transversum (transverse axis). Connect BD, and complete the rectangle DABK. From any point L, on the line AD, erect the perpendicular LZ, cutting BK in Z and BD in H. Draw a line HG, completing the rectangle ALHG....

...Mathematics ACE: Ellipse Areas
Before we embark on solving the problem, let us first explore the definition of ellipse.
[pic]
An ellipse is a curve that is the locus of all points in the plane the sum of whose distances [pic] and [pic] from two fixed points [pic] and [pic] (the foci) separated by a distance of [pic] is a given positive constant [pic]
[pic]
While [pic] is called the major axis, [pic] is the semi major axis,...

...Chapter 13_Graphing the Conic Sections
Ellipses
In this study guide we will focus on graphing ellipses but be sure to read and understand
the definition in your text.
Equation of an Ellipse (standard form)
Area of an Ellipse
( x − h) 2 ( y − k ) 2
+
=1
a2
b2
with a horizontal axis that measures 2a units, vertical axis
measures 2b units, and (h, k) is the center.
The long axis of an...

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The study of religion may be as old as humankind itself according to one author. Defining religion is difficult as there are many definitions as there are many authors. The word religion is the most difficult to define because of the lack of a universally accepted definition. Specifically the root meaning of the word religion can be...

...ELLIPSE
9. Given the following equation
9x2 + 4y2 = 36
a) Find the x and y intercepts of the graph of the equation.
b) Find the coordinates of the foci.
c) Find the length of the major and minor axes.
d) Sketch the graph of the equation.
Solution
a) We first write the given equation in standard form by dividing both sides of the equation by 36
9x2 / 36 + 4y2 / 36 = 1
...

...Conics are surprisingly easy! There are four types of conic sections, circles, parabolas, ellipses, and hyperbolas. The first type of conic, and easiest to spot and solve, is the circle. The standard form for the circle is (x-h)^2 + (y-k)^2 = r^2. The x-axis and y-axis radius are the same, which makes sense because it is a circle, and from
In order to graph an ellipse in standard form, the center is first plotted (the (h, k)). Then, the x-radius is plotted on both...

...A literary tradition-written form of a language. Dialect-A form of a language spoken in a local area.
Language branch is a group of languages that share a common origin but have since evolved into individual languages. Language family is a group of languages that share a common ancestor before recorded history. Second largest languest family is sino Tibetan. Both the angles and the normans contributed to the develop Of the English language because they invaded England. English is the most...

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