Science Fair Project Encyclopedia
Hyperbolic-orthogonal
In mathematics, two points in the Cartesian plane are hyperbolically orthogonal if the slopes of their rays from the origin are reciprocal to one another.
If the points are (x,y) and (u,v), then they are hyperbolically orthogonal if
- y/x = u/v.
Using complex numbers z = x + y i and w = u + v i, the points z and w in C are hyperbolically orthogonal if the real part of their complex product is zero, i.e.
- xu - yv = 0.
If two hyperbolically-orthogonal points form two angles with the horizontal axis, then they are complementary angles.
10-26-2009 08:16:03
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The contents of this article is licensed from www.wikipedia.org under the GNU Free Documentation License. Click here to see the transparent copy and copyright details