Section 3.5 Taxicab Hyperbolas
¶What are hyperbolas? The set of points at constant distance difference from the two foci. Once more, since we have changed the notion of distance, taxicab hyperbolas may not look much like Euclidean hyperbolas. A special case of a taxicab hyperbola is shown in Figure 3.5.1. In this case, the distance difference is \(0\text{,}\) that is, the hyperbola represents all points equidistant from the foci. This special hyperbola is also called the midset of \(A\) and \(B\text{.}\)
You can move the slider to explore different values of the distance difference, or you can step through different values by clicking on the checkbox. As always, you can also move the foci.