Orthogonal circles (Circles x²+y²+2g₁x+2f₁y+c₁=0 and x²+y²+2g₂x+2f₂y+c₂=0 cut orthogonally)
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Circles x²+y²+2g₁x+2f₁y+c₁=0 and x²+y²+2g₂x+2f₂y+c₂=0 cut orthogonally iff 2g₁g₂+2f₁f₂=c₁+c₂.
What each symbol means
| Symbol | What it stands for |
|---|---|
| g_i,f_i,c_i | Coefficients of respective circles |
When to use this
Both circles written with unit coefficients on x² and y².