On special circles and spheres
Abstract
In my article on the system of spheres, I outlined their linear and spherical aggregates, the collinear and reciprocal transformations of these aggregates, but did not address at all the special circles present in each of their linear primas. It was only implied that among all the circles of such a prima there is a circle of infinitely large radius, and such a circle is a straight line constituting the radical axis of the prima. As if in contrast to this, in the scientific literature, starting with Shteiner, it is implied that in the linear prima of circles, the special element is not a single straight line, but a pair of straight lines, one of which is the radical axis, and the other is the line at infinity; but I am not aware of any work that specifically analyzes the question of special circles. With this short article I intend to fill this gap.
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