
The two cones with vertex $A=(x_{0},y_{0},z_{0})$ and $B=(x_{1},y_{1},z_{1})$ and generating angle of two cones is $\alpha$ given.
I need to write the equation of the intersection of two cones when the intersection is an ellipse?

The two cones with vertex $A=(x_{0},y_{0},z_{0})$ and $B=(x_{1},y_{1},z_{1})$ and generating angle of two cones is $\alpha$ given.
I need to write the equation of the intersection of two cones when the intersection is an ellipse?
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