Math, asked by eddggh5979, 1 year ago

Spherical indicatrix of the principal normal equation

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Answered by ranjaydas
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Answer:

here we go brother and their sister

Step-by-step explanation:

Spherical indicatrix

The image of a curve in the three-dimensional Euclidean space  under a mapping from the points of the curve onto the unit sphere  by any of the following unit vectors: the tangent, the principal normal or the binormal of this curve. Let  be the radius vector of the curve , let  be the natural parameter and let  be the radius vector of the spherical mapping of the curve  into the unit sphere  with its centre at the origin by means of one of the unit vectors listed. The equation of the spherical indicatrix of the tangent is defined by the equation

that of the spherical indicatrix of the principal normal by the equation

and that of the spherical indicatrix of the binormal by the equation

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