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What is a geoid?

What is a geoid? Here are some definitions.

Noun
  1. (geography, geodesy) The shape that the surface of the oceans of the Earth would take under the influence of the Earth's gravity and rotation alone, extending also through the continents, disregarding other factors such as winds and tides; that is, a surface of constant gravitational potential at zero elevation.
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Examples
The geoid is a hypothetical surface, on which the gravitational pull of the Earth is the same everywhere.
The geoid serves as the classical reference for all topographical features.
Precise knowledge of marine geoid is essential for study of mantle convection of oceanic litosphere.
The geoid model of mean sea level advanced through analysis of latest local and global gravity coverage.
The position of the equipotential surfaces of the geoid are also influenced by lunar and solar tidal effects.
The realization of a new vertical datum for Canada by geoid modelling, rather than by geodetic levelling.

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