## Ruled Surface

By
Bed Prasad Dhakal

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

By
Bed Prasad Dhakal

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

By
Bed Prasad Dhakal

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

By
Bed Prasad Dhakal

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

By
Bed Prasad Dhakal

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

By
Bed Prasad Dhakal

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

By
Bed Prasad Dhakal

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