Bar Pantograph

OABC: parallelogram.
Triangles ADB and CBE are similar.
Triangles DAO, DBE and OCE are similar.
Triangles ODE and ABD are similar.
O: immobile
Figures traced by pen E and pen D are similar but figure D is turned an angle DAB in comparison with figure E.
Scale factor is k = AD/AB = CB/CE = constant.

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