The paper studies the envelope of mid-hyperplanes of a hypersurface and its properties.
problem Understanding the properties of the envelope of mid-hyperplanes of a hypersurface.
method Analyzes mid-hyperplanes of a smooth hypersurface and their envelopes, proving properties and conditions.
result The envelope of mid-hyperplanes consists of centers of conics with contact of order at least 3 with the hypersurface.