Let M(x0, y0) be an ellipse x? /a? +y? /b? = 1(a >b & gt0),
The focal radius r 1 and r2 are the distances between point m and point F 1(-c, 0), F2(c, 0), and e is eccentricity.
Then r 1=a+ex0, r2=a-ex0,
Let M(x0, y0) be an ellipse x? /b? +y? /a? = 1(a >b & gt0),
The focal radius r 1 and r2 are the distances between point m and point F 1(0, -c), F2(0, c), and e is eccentricity.
Then r 1=a+ey0, r2=a-ey0,
Hyperbolic focal radius
Let M(x0, y0) be a hyperbola x? /a? -Really? /b? = 1,
The focal radius r 1 and r2 are the distances between point m and point F 1(-c, 0), F2(c, 0), and e is eccentricity.
Right focus radius r=|ex0-a| Left focus radius r=|ex0+a|
Let M(x0, y0) be a hyperbola y? /a? -x? /b? = 1,
The focal radius r 1 and r2 are the distances between point m and point F 1(0, -c), F2(0, c), and e is eccentricity.
Right focus radius r=|ey0-a| Left focus radius r=|ey0+a|
Parabolic focal radius
Let M(x0, y0) parabola y? =2px, and the focal radius is r=x0+p/2.
Let M(x0, y0) parabola x? =2py, and the focal radius is r=y0+p/2.