THE CONCEPT OF HYPERBOLE
It is shown that the concept of a characteristic right-angled triangle and the concept of hyperbola are necessarily connected. This connection manifests itself in the form of a curve formed by a set of base points of heights dropped from the vertices of the right angles of the current right-angled triangle, one of the acute-angled vertices of which describes the line of the hyperbola. It is further shown that the properties of this curve are determined by the properties of a one-of-a-kind right-angled triangle.