## Local non-intrinsic property of surface

By
Bed Prasad Dhakal

In differential geometry, the study of surfaces involves understanding the intrinsic and extrinsic proper…
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## Weingarten equations

By
Bed Prasad Dhakal

Weingarten equations Weingarten equations is about derivative of the unit normal vector \( \vec{N…
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## Double family of curves

By
Bed Prasad Dhakal

Double family of curves Let S: \(\vec{r}=\vec{r}(u,v) \) be a surface then the quadratic differential…
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## Orthogonal trajectories

By
Bed Prasad Dhakal

Orthogonal trajectories Let S: \(\vec{r}=\vec{r}(u,v) \) be a surface with family of curves …
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## Family of Curves

By
Bed Prasad Dhakal

Family of Curves Let S: \(\vec{r}=\vec{r}(u,v)\) be a surface and \( \phi(u,v)=c\) (i) be a singl…
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## Direction coefficients and related results

By
Bed Prasad Dhakal

Let S:\(\vec{r}=\vec{r}(u,v)\) be a surface. Then tangent line to the surface is described b…
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## Fundamental Cofficients of Surface

By
Bed Prasad Dhakal

Some Common Example of Surface Plane surface Plane …
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## Fundamental Forms of Surface

By
Bed Prasad Dhakal

We recall that, space curve is uniquely determined by two local invariant quantities: curvature and torsion.Similarly, surface …
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