Spherical aggregates of second-order curves (conoprimas)
Abstract
Let us consider systems of second-order curves (conoprimas). In a system of conoprimas of points, circles can be taken as extra elements, because these elements themselves constitute a special system, and, at the same time, any curve together with a circle defines a linear prima. But in general, such an extra element does not exist in a linear prima, only in a linear second. However, one can form a linear second from the linear prima of ordinary (not vectorial) circles and some other conoprime. Such a linear second, however, will already be a special one, and must therefore be regarded as a particular system, and such a system will be related to a system of points on a plane, with the points at infinity of the latter being projectively correlated in a special way with the circles of the former. Also, if we compose a linear third from any linear second of circles and some other conoprima, then such a system will be related to a system of points in space. But all these will be particular , special systems of conoprimas of points.
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