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This starts with the collocation circle to go through the three points on the curve. First write the equation of a circle. Then write three equations that force the collocation circle to go through the three points on the curve. Last, solve the equations for a, b, and r.

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Q: How do you get the formula center of curvature?
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Related questions

What is the difference between Radius of curvature and centre of curvature?

the center of curvature is the ORIGIN of the radius of curvature


What is the center of curvature of a mirror?

A plane mirror is not curved so it does not have a center of curvature. Or if you want to be mathematically correct, you could say that it's center of curvature is at an infinite distance from the mirror.


What is the center of curvature of the mirror?

the centre of sphere is known as centre of curvature


How can find the radius of curvature?

There is a specific formula for finding the radius of a curvature, used often when one is measuring a mirror. The formula is: Radius of curvature = R =2*focal length.


Center of curvature in differential calculus?

Center of curvature = r(t) + (1/k)(unit inward Normal) k = curvature Unit inward normal = vector perpendicular to unit tangent r(t) = position vector


What is the relation between focal length and center of curvature?

The focal length of a concave mirror is about equal to half of its radius of curvature.


What is relation between focal length and radius of curvature in lenses?

The Center of curvature is 2 times the focal length. By the way this is a physics question.


What is the center of curvature of a plane mirror?

A plane mirror is not curved so it does not have a center of curvature. Or if you want to be mathematically correct, you could say that it's center of curvature is at an infinite distance from the mirror.


What is definition for the centre of curvature of a spherical mirror?

It is the center of the imaginary sphere to which the mirror belongs.


What is the center of curvature explain with diagram?

go to physicsclassroom.com. its wonderfully explained with animated diagrams.


What type of mirror could be used to A real image as big as real object?

Concave mirror is used to a real image as big as real object. If the object is placed at center of curvature , then real image is formed at the same center of curvature.


What is the exact relation of the focal length to the center of curvature?

The focal length (a.k.a focus) is exactly half the length of the centre of curvature. ie. F = 1/2 C