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how calculate chord length of ellipse.
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ashvin
Feb 1, 2010, 12:15:28 AM2/1/10
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An ellipse
major axis: 900
minor axis: 450
Two points on ellipse 150 and 250 distance
away from center line as shown in attached file.
Then how to measure the lenght of chord AB as shown ?
major axis: 900
minor axis: 450
Two points on ellipse 150 and 250 distance
away from center line as shown in attached file.
Then how to measure the lenght of chord AB as shown ?
Sketch available from http://mathforum.org/kb/servlet/JiveServlet/download/128-2033628-6962639-585567/chord%20length.jpg
Dan Cass
Feb 1, 2010, 10:57:46 AM2/1/10
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> An ellipse
> major axis: 900
> minor axis: 450
> Two points on ellipse 150 and 250 distance
> away from center line as shown in attached file.
> Then how to measure the lenght of chord AB as shown
> in> major axis: 900
> minor axis: 450
> Two points on ellipse 150 and 250 distance
> away from center line as shown in attached file.
> Then how to measure the lenght of chord AB as shown
> attached file ?
Equation of ellipse:
x^2/900^2 + y^2/450^2 = 1.
Solve for y>0, get y=g(x).
Then your chord has endpoints
(150,g(150)) and (250,g(250)).
Now put these two points into the distance formula.
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