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How to use polar coordinate to represent a $1 \times 1$ square rotated $45^\circ$ and translated to $(7,4)$? Does the $r(\theta)$ have discontinuous (such at jump from $+5$ to $-2$)?

Please help. Thanks!

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    Do you really need to have it in polar coordinates? Translation's a pain in the arse to do in polar coordinates; maybe you'd be better satisfied with a (parametric) Cartesian form?2011-10-30
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    Actually, I want to know the theory. If I have a 1x1 square rotated 45deg, I guess there is unique +ve R in any given angle using polar coordinate in this case. If I translate the whole square to (7,4) , would some R jump from +ve to -ve??2011-10-30
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    $(7,4)$ is a pretty far-out point; you can certainly expect a rotated square that is translated that far to be contained entirely in the first quadrant.2011-10-30
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    So does it mean the R would jump? I am sorry that I am very bad in polar coordinate, but I am doing project using polar coordinate concept2011-10-30

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