An ellipse is a closed curved shape that resembles a squashed circle. It has two distinct points called foci, and the sum of the distances from any point on the ellipse to the two foci is constant. The major axis is the longest diameter of the ellipse, while the minor axis is the shortest diameter.
any graph that is not represented by a line,ie: parabola, hyperbola, circle, ellipse,etc
The "limiting case" of the ellipse can be a circle, or it can be a straight line.This isn't a Health question; this is a Math question: specifically, a Geometry question.Definitions: An ellipse is an 'O' shape, like the slice of an egg.A "limiting case" is an extreme case, one extreme or the other.The extreme case of an ellipse, which some people call the "limiting case" of the ellipse, can be a circle, or it can be a straight line. Without going too deeply into the math, when you stretch it out enough, an ellipse tends to become a straight line. When you "round it out", the ellipse tends to look like a circle.An ellipse is also a conic section: that is, a cut or a slice that you make into a cone. As you make more and more extreme cuts, you get either a circle, or a straight line.A nice picture of an ellipse, and a good brief explanation, is at Math Warehouse: An ellipse is the locus of all points of the plane, the sum of whose distances to two fixed points add to the same constant. Each fixed point is called a focus. The two fixed points are called the focuses, or foci, the plural of focus.When the two fixed points of an ellipse are the same point, you get a circle. [Imagine the two points getting closer and closer together, until they become the same point: then, you get a circle. A circle is just a special case of an ellipse.]If the two focuses get infinitely farther apart, you get a straight line.Another way of saying this is:When the eccentricity of an ellipse is zero, the ellipse is a circle. When the eccentricity approaches one, you tend to get a straight line. {Note: if you want to get picky, you never really get to a straight line (that's the infinite case); you just approximate a straight line.}The equation for an ellipse is PF1 + PF2 = 2aThis is the line segment definition of an ellipse, where PF1 and PF2 are the line segments, which equal the distances from a point P to Focus 1 and Focus 2.Math Warehouse says the same thing, slightly differently: An ellipse is the set of all points in a plane such that the sum of the distances from T to two fixed points F1 and F2 is a given constant, K. The trigonometric (sine, cosine) and coordinate-geometry (x,y) definitions for an ellipse are at the Math Open Reference siteOther ellipse definitionsThere are other ways to define an ellipse. Both use coordinate geometry.Using Trigonometry, with two equations: x = a cos(t)y = b sin(t)where t is the parameter and a is the horizontal semi-axis and b the vertical semi-axisUsing the formula x2/a2 + y2/b2 = 1Where a is the horizontal semi-axis and b the vertical semi-axis and the origin is the ellipse center point.See also:conic sectionsThe circle is a limiting case of the ellipse, when the slice is made at right angles to the axis, while the parabola is the limiting case of both the ...http://www.daviddarling.info/encyclopedia/C/conic.html - CachedChallenge question about ellipse and circles? - Yahoo! UK ...The limiting case occurs when the radius of curvature of the ellipse is equal to that of the circle. For a smaller radius of curvature, a circle tangent at ...Degenerate Ellipse - MAAAs long as r is positive, the resulting curve is a legitimate ellipse. In the limiting case of r = 0, the circle is collapsed to a line segment. ...
It would look kind of like this /_ but it would be connected.
it would look like this 3000/147
As the eccentricity of a shape increases, the shape becomes more elongated or stretched out. For example, an ellipse with a higher eccentricity will look more like a stretched circle. In general, as eccentricity increases, the shape will deviate more from its original form and become more elongated.
An ellipse is a closed curve that is elongated.
An eclipse is bright and beautiful!
"Elliptical" means they look like ellipses.
An oval. An ellipse, actually, which is sort of like an oval.
An ellipse is a closed curved shape that resembles a squashed circle. It has two distinct points called foci, and the sum of the distances from any point on the ellipse to the two foci is constant. The major axis is the longest diameter of the ellipse, while the minor axis is the shortest diameter.
As the foci of an ellipse move closer together, the ellipse becomes more circular in shape. When the foci coincide, the shape is a circle. Note that circles are a subset of ellipses.
any graph that is not represented by a line,ie: parabola, hyperbola, circle, ellipse,etc
round but some rounder than others. Every object is in an orbit which is an ellipse. The planets are in orbits which look almost exactly like circles with an offset centre, but some comets and dwarf planets have orbits with a high eccentricity.
Yes, the moon's orbit is elliptical. It has some eccentricity to it (e = 0.0549). The measure of eccentricity is done to give astronomers an idea of how "out of round" a body's orbit about a center is, and it can vary between e = 0 for a perfect circle (no eccentricity), on out to e = 1 for the longest, skinniest ellipse you can immagine (infinite eccentricity).Further to that correct answer, when the eccentricity is small, as it is for the planets (except Mercury), the orbit is very nearly circular, and the eccentricity measures how far off-centre the Sun is.For example the Earth's orbit has an eccentricity of 1/60 and a radius of 150 million kilometres. The Sun is offset from the centre by 150/60 million km, or 2.5 million km.The maximum diameter of the elliptical orbit is 300 million km, while the minimum diameter is 299.96 million km, so there is virtually no 'squashing' of its circular shape.
When you increase the distance between the foci of an ellipse, the eccentricity of the ellipse decreases. The eccentricity of an ellipse is a measure of how elongated or stretched out it is, with a lower eccentricity indicating a more circular shape. So, as you increase the distance between the foci, the shape of the ellipse becomes closer to a circle.
Meteoroids follow the normal rules for orbits: Kepler's laws of planetary motion, just like the planets. Thus the basic shape is an ellipse.