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Geometry is a branch of mathematics. Geometry studies the spatial relationships and forms of objects, as well as other relationships and forms, similar to the spatial in its structure.

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Angle of rotation at a point in a deformed triangle

I have a 2D triangle which deforms with each vertex moving by some small ($\sin(x) \approx \tan(x) \approx x$) displacement vector. The displacement of any point in the triangle is linearly interpolat …
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Angle of rotation at a point in a deformed triangle

A much simpler formula is $$ \theta = {1 \over 2} \nabla \times u $$ Where $u$ is displacement. The derivatives of $u$ are obtained multiplying elements of the strain-displacement matrix (p8 here) by …
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