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-- If they're the foci of a single optical system, then the result can't be stated in general.
It depends on the curvatures and relative position of the lenses.
-- If they're both the foci of the same ellipse, then the ellipse becomes more eccentric.
That is, more squashed and less circular.
-- If they're the foci of two parabolas, then there's no relationship between them, and
nothing in particular depends on the distance between them.
The answer depends on whether they are the foci of an ellipse or a hyperbola.
What else can I help you with?
What happens when you decrease the distance between two foci?
The answer depends on whether they are the foci of an ellipse or a hyperbola.
When the distance between the foci of an ellipse is increased the eccentricity of the ellipse will?
When the distance between the foci of an ellipse increases, the eccentricity of the ellipse also increases. Eccentricity is a measure of how much an ellipse deviates from being circular, calculated as the ratio of the distance between the foci to the length of the major axis. As the foci move further apart, the ellipse becomes more elongated, leading to a higher eccentricity value. Therefore, an increase in the distance between the foci results in a more eccentric ellipse.
What is the difference between a circle and an ellipse?
-- the eccentricity or -- the distance between the foci or -- the ratio of the major and minor axes
How does the eccentricity of an ellipse change as the foci get closer together?
As the foci of an ellipse move closer together, the eccentricity of the ellipse decreases. Eccentricity is a measure of how elongated the ellipse is, defined as the ratio of the distance between the foci to the length of the major axis. When the foci are closer, the ellipse becomes more circular, resulting in a lower eccentricity value, approaching zero as the foci converge to a single point.
What is foci?
Foci, (the plural of focus), are a pair of points used in determining conic sections. They always fall on the major axis of symmetry of a conic. For example, in a circle, there is only one focus, the centerpoint. Every distance from the focus to any other point on the circle will be the same. In a parabola, the distance from any point of the parabola to the focus equals the distance from the centerpoint to the directrix. In a hyperbola, the difference of the distances between a point on the hyperbola and the focus points will be constant, and in an ellipse, the sum of the distances from any point on the ellipse to one of the foci is constant.
What happens when you decrease the distance between two foci?
The answer depends on whether they are the foci of an ellipse or a hyperbola.
What will happen to the eccentricity of an ellipse as the distance between the foci increases?
the eccentricity will increase.
What change takes place in the eccentricity of an ellipse when you increase the distance between the foci?
Troll
What changes takes place in the eccentricity of the ellipses when you increase the distance between the foci?
bruh..
What changes take place in the eccentricity of the ellipse when you increase the distance between the foci's?
Troll
What change takes place in the eccentricity of the ellipses when you increase the distance between the foci?
bruh..
When the distance between the foci of an ellipse is increased the eccentricity of the ellipse will?
When the distance between the foci of an ellipse increases, the eccentricity of the ellipse also increases. Eccentricity is a measure of how much an ellipse deviates from being circular, calculated as the ratio of the distance between the foci to the length of the major axis. As the foci move further apart, the ellipse becomes more elongated, leading to a higher eccentricity value. Therefore, an increase in the distance between the foci results in a more eccentric ellipse.
How does distance between foci affect eccentricity?
As the distance between foci increases the eccentricity increases, or the reverse relationship.
What is the distance from one of the foci of the ellipse from its center?
The distance from one of the foci of an ellipse to its center is half the distance between its two foci. It is referred to as the focal distance and is an important parameter in defining the shape and size of the ellipse.
What is the formula for eccentricity?
eccentricity = distance between foci ________________ length of major axis
What is the difference between a circle and an ellipse?
-- the eccentricity or -- the distance between the foci or -- the ratio of the major and minor axes
Which two fixed points define the shape of a hyperbola?
the foci (2 focal points) and the distance between the vertices.
