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What does an ellipse shape look like?
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.
What does a nonlinear graph look like?
any graph that is not represented by a line,ie: parabola, hyperbola, circle, ellipse,etc
What is the limiting case of ellipse?
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. ...
What does an angle sign look like?
It would look kind of like this /_ but it would be connected.
How would 147.3 look like as an improper fraction?
it would look like this 3000/147
How does the shape change with increasing eccentricity?
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.
What does Ellipse and what does it look like?
An ellipse is a closed curve that is elongated.
How does ellipse look like?
An eclipse is bright and beautiful!
What is a ellipse drawing?
"Elliptical" means they look like ellipses.
What does the path the earth takes around the sun look like?
An oval. An ellipse, actually, which is sort of like an oval.
What does an ellipse shape look like?
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.
What happens to the shape of an ellipse as the foci are moved closer together?
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.
What does a nonlinear graph look like?
any graph that is not represented by a line,ie: parabola, hyperbola, circle, ellipse,etc
What is the shape of the orbits of most members of the solar system?
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.
Is the moon's orbit around the sun absolutely straight?
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.
What changes takes place in the eccentry of the ellipses when you increase the distance between foci?
"You can see this in practical terms by making an ellipse yourself. Put two thumbtacks about four inches apart in a paper-sized piece of cardboard. (These distances are arbitrary, but it will get you started.) Next, tie a loose-fitting string, about seven inches long or so, between the two thumbtacks. Finally, place a pencil inside the string and pull it away from the tacks until the string is taut. The string will look like a triangle with the pencil and the two tacks in the corners. Move the pencil all the way around the cardboard, keeping the string taut, and you will draw an ellipse. This is illustrated in Figure 2. For the purposes of this article, "F1" will be the left focus point for a horizontal ellipse, or the top focus point for a vertical ellipse. Similarly, "F2" will be the right or bottom focus point, for horizontal or vertical ellipses, respectively. Now that you've drawn your ellipse, you can move from arts and crafts to astronomy. In 1609, Johannes Kepler reasoned that the planetary orbits were not circular as once thought, but were elliptical with the Sun at one of the two focus points of the elliptical orbit. So, to simulate an orbit, you must be able to determine the location of the foci, and use one as the Sun. Calculating the Foci To calculate the focus points, you need to know a few basic things. Using correct terminology, the longest axis, going through the two focus points, is called the major axis. The axis perpendicular to this axis at the center of the ellipse is called the minor axis. Half the major axis, marked in Figure 2 by a, is called the semimajor axis. Half the minor axis, indicated as b in Figure 2, is called the semiminor axis. Often, the first time learning a subject, it's helpful to work with terms you are comfortable with. To simplify, I'll use the terms "width" and "height," and "xRadius" and "yRadius" when discussing the major, minor, semimajor, and semiminor axes, respectively. There's still one more thing you have to figure out before you can continue. To find the focus points of an ellipse, you must calculate the eccentricity of the ellipse. This is how elongated it is. Once you know the eccentricity of an ellipse, you can multiply this factor by the "xRadius" (or a in Figure 2) to get the distance from the center point to a focus point. This is marked by ae in Figure 2 and is the offset distance you'll use in your script to move the ellipse to the correct new location. There are a few ways to calculate the eccentricity of an ellipse. The formula I'll use is: (If you're interested in knowing how this formula was derived, check out the Related Resources on ellipses, left column.) Writing that in ActionScript, using the aforementioned simplified terms, the formula becomes: e = Math.sqrt(1 - (yRadius*yRadius) / (xRadius*xRadius)) where Math.sqrt() is the Math object notation for square root. Once you have the eccentricity of the ellipse, all you have to do is multiply that by the "xRadius" (in the case of our horizontal ellipse) to get the distance from the center of the ellipse to one of the focus points around which you can orbit your MovieClip. You may wish to orbit a MovieClip around a specific point, or it might even be the location of another MovieClip. For example, you might again want your example to show the Earth orbiting the Sun and the Moon orbiting the Earth. But which focus point should you use? Since the ae (or xRadius * e) distance you just calculated is the same from the center to each focus point, the last step you need to take is to determine how to apply the offset. One method would be to use a conditional statement (if or switch, for example) to specify whether you add or subtract the offset from the center point of your ellipse. But there is a simpler way. If you use -1 to represent the left/top focus, 0 to represent the center, and 1 to represent the right/bottom focus, you can multiply the ae offset by this factor and subtract it from the desired anchor point. For example, say you are placing your ellipse in the center of your stage at (275,200); you have an ellipse that is 250 pixels wide and 150 pixels tall. This results in an eccentricity of .8. Since your ellipse is 250 pixels wide, the "xRadius" is 125, or half the width. Therefore, the x offset would be calculated like this: centerX -= (xRadius * e) * ellipseFocusPoint; 1) -1 for left focus point 275 -= (125*.8) * -1 275 - (-100)" - alex from yahoo answers
What does a orbit look like?
Meteoroids follow the normal rules for orbits: Kepler's laws of planetary motion, just like the planets. Thus the basic shape is an ellipse.
