Radical Axis of Two Circles
For two circles:
$$S_1=x^2+y^2+2g_1x+2f_1y+c_1=0$$
and:
$$S_2=x^2+y^2+2g_2x+2f_2y+c_2=0$$
their radical axis is:
$$S_1-S_2=0$$
Usage
- Used to find the locus of points having equal powers with respect to two circles.
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CAT Formulas
Circles
Radical Axis of Two Circles
Radical Axis of Two Circles
For two circles:
$$S_1=x^2+y^2+2g_1x+2f_1y+c_1=0$$
and:
$$S_2=x^2+y^2+2g_2x+2f_2y+c_2=0$$
their radical axis is:
$$S_1-S_2=0$$
Usage
- Used to find the locus of points having equal powers with respect to two circles.
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