We know that diameter of conics is defined as the locus of median points of the conics' parallel chords. For each given chord slope, there's a corresponding diameter.
But I'm confused with Hyperbola's diameter. Since a line would intersect its both branches and thus get 3 line segments. Suppose a line intersects left branch as AB, and intersect between left and right branch as BC, and intersects right branch as CD, then diameter of this hyperbola should be the locus of median points of WHICH line segment???? AB, BC, or CD?
Do I describe my question well?
2006-12-18 03:00:22 · 1 answers · asked by DedB 2 in Science & Mathematics ➔ Mathematics
Again, sorry I was unable to find an actual equation for the diameter of a hyperbola.
Let me know if the following resource is helpful:
http://eom.springer.de/h/h048230.htm
2006-12-18 09:47:27 · answer #1 · answered by Jim Burnell 6 · 1⤊ 0⤋