Pascal's theorem and its closest analogues on the plane and in space
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Abstract
Pascal’s theorem underlies the doctrine of conoprimes, expressing their fundamental property that is completely and unambiguously determined by five elements. It can be expressed in a modern generalized form (see article). This expression clearly demonstrates the deep organic connection of every sixth element with the other five that determine conoprima. A simpler analogue of this theorem can be the well-known theorems expressing the fundamental properties of spheroprimes and spheroseconds.
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