0
votes
2answers
290 views

Length of chord on ellipse

Suppose I have an ellipse centered at the origin, preferably expressed in its matrix form, and I want to know the chord length of a segment that passes through the origin with the endpoints at the ...
2
votes
1answer
712 views

Determining the angle degree of an arc in ellipse?

Is it possible to determine the angle in degree of an arc in ellipse by knowing the arc length, ellipse semi-major and semi-minor axis ? If I have an arc length at the first quarter of an ellipse and ...
3
votes
1answer
257 views

How to know the flattening factor for a ellipse?

I want to know how can I get the flattening factor for a ellipse by knowing its semi-major and semi-minor axes ? Actually I tried this formula: $f=\left(\frac{a}{b}-1\right)$ While $f$ is the ...
5
votes
2answers
7k views

How to determine the arc length of ellipse?

I want to determine the arc length of a ellipse. So what data should I know ? And what law should I use ? For example I have this ellipse on picture below: How can I determine the $d$ length of ...
1
vote
2answers
1k views

How to get the radius of an ellipse at a specific angle by knowing its semi-major and semi-minor axes?

How to get the radius of an ellipse at a specific angle by knowing its semi-major and semi-minor axes? Please take a look at this picture :
2
votes
1answer
811 views

How to calculate minimum distance between two arbitrary ellipses in 2D?

Arbitrary ellipses means that they can be scaled, translated and rotated in any way in 2D. Do you know some high-school method (might be slightly more advanced than that) to find the minimum distance? ...
4
votes
2answers
173 views

How to decide that a curve segment is not an ellipse line segment?

Let me ask a question , given any short curve segment , how can you decide that it is not an ellipse line segment by a finite calculations? Thank you in advance.
4
votes
2answers
309 views

Maximize the distance between a line normal to an ellipse and its center

My friend sent me this problem, which (upon Googling) seems to be from a Cornell class (1220?). Anywho. My advice to him was to parametrize the ellipse (say, in the first quadrant) with $x = a ...