If we rewrite the general equation of degree 2 (Eq. 12) in terms of variables x and
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If we rewrite the general equation of degree 2 (Eq. 12) in terms of variables x̃ and ỹ that are related to x and y by Eqs. (13) and (14), we obtain a new equation of degree 2 in x̃ and ỹ of the same form but with different coefficients:
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x = x cose y sin e y = x sine + y cos
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