Ruled Surface


Ruled Surface A surface generated by motion of straight line along a given curve is called ruled surface, in which, stri…
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Developable surface


Developable surface Envelope of one parameter family of plane is called developable surface. It is given by the equation \( \vec{r}.\…
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Family of Surface


Family of Surface
Family of surface An equation \( F( x,y,z;a )=0 \) where \( a \) is constant. is a su…
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Tangent Plane and Normal Line


Tangent Plane Let \( \vec{r}=\vec{r}(u,v) \) be a surface Then,\( \vec{r_1} \) and \( \vec{r_2} \) are the ta…
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Transformation and its Geometric Significance


Transformation and its Geometric Significance
Transformation and its geometric significance Let \( \vec{r}=\vec{r}(u,v) \) be a surface w…
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Regular and Singular Point


Regular and Singular Point
Regular and singular points Let \(S: \vec{r} = \vec{r}(u,v) \) be a surface and P be a point with…
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Surface


Surface
Surface Parametric Form A surface is defined as locus of points \( (x,y,z) \) whose Cartes…
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