We know that the orthocenter of a triangle is the place where the triangle's three altitudes intersect. But why is it called that?
The *in*center - the intersection of the triangle's three angle bisectors - is the center of the *in*scribed circle.
The *circum*center - the intersection of the triangle's three perpendicular bisectors - is the center of the *circum*scribed circle.
But what is an "orthocircle" (if such exists)?
This document says that two circles could be orthogonal. Well gee, whiz!
This one says an orthocircle has the given center and is orthogonal to the given circle. That doesn't help, because I can make an orthogonal circle to the triangle from many points (maybe even all of them).
And according to Wolframalpha, the name "orthocenter" was invented by people named Besant and Ferrers. But that page doesn't indicate why how came up with it.
And that is literally everything I could find on the word "orthocircle" or on "why is it called orthocenter?".
So why is it called "orthocenter"? And what is the "orthocircle"?
P.S. And how do I italicize part of a word?