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Vol 5 Iss. 1
Pages:
76
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RUS
Article

Hexasecond, pentaprima and pentasecond of planes

Authors:
E. S. Fedorov
Date submitted:
1913-07-18
Date accepted:
1913-09-10
Date published:
1914-01-01

Abstract

The content of this note is a direct consequence of the preceding one. It presents a theorem that makes it possible to construct a hexasecond from seven arbitrary points. Since a hexasecond is a positional figure and is correlatively transferred to all geometric systems, the construction of a hexasecond of planes from seven given ones is implied by itself. But if only six planes are given, then the extra-plane is always at our disposal as the seventh and is not counted, being unique in its kind.

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