Question

what is the definition of normal, center of curvature,pole point and principal axis​

Answer 1

Answer:

Normal:

the point on the normal at a given point on a curve on the concave side of the curve whose distance from the point on the curve is equal to the radius of curvature.

Principle Axis:

The straight line passing through the pole P and the centre of curvature C of the mirror, is called principal axis of the mirror. 6. Normal: The normal at any point of the spherical mirror is the straight line obtained by joining that point with the centre of the mirror.

.pole point:

In geometry, the pole and polar are respectively a point and a line that have a unique reciprocal relationship with respect to a given conic section. For a given circle, reciprocation in a circle means the transformation of each point in the plane into its polar line and each line in the plane into its pole.

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Answer 2

Answer:

Normal: The normal at any point of the spherical mirror is the straight line obtained by joining that point with the centre of the mirror.

Principle Axis: The straight line passing through the pole P and the centre of curvature C of the mirror, is called principal axis of the mirror

Pole: The centre of reflecting surface. It is represented by letter P.Centre of Curvature: The centre of the sphere of which the mirror forms the part. Represented by "C".Radius of Curvature: The radius of the sphere of which the mirror forms the part. Represented by "R".Principal axis: The straight line joining the pole (P) and the centre of curvature. It is normal to the mirror at its pole.

Focus: The point of the principal axis at which the rays parallel to principal axis meet (concave mirror) or appear to meet (convex mirror) after reflection. Represented by F.

Focal Length: The distance between the pole and the principal focus of a spherical mirror is called focal length. Represented by f.

In geometry, the center of curvature of a curve is found at a point that is at a distance from the curve equal to the radius of curvature lying on the normal vector. It is the point at infinity if the curvature is zero. The osculating circle to the curve is centered at the centre of curvature. Cauchy defined the center of curvature C as the intersection point of two infinitely close normal lines to the curve.The locus of centers of curvature for each point on the curve comprise the evolute of the curve. This term is generally used in physics regarding to study of lenses and mirrors.

It can also be defined as the spherical distance between the point at which all the rays falling on a lens or mirror either seems to converge to (in the case of convex lenses and concave mirrors) or diverge from (in the case of concave lenses or convex mirrors) and the lens/mirror itself.

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