A lot of people think that the face in geometry is the side of a three dimensional figure, but it can really mean the specific side of a 2-d figure as well. Face just means the front of a figure for the side you're looking at. You can have the face of a circle, for example. It just means the side of the circle you're referring to.
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The word geometry simply means land or earth measurements.
Adjacent
It means land or earth measurement.
Not sure about geometry but the definition contains a redundant repetition.
Geometry is a part of mathematics concerned with questions of size, shape, relative position of figures and with properties of space. Geometry is one of the oldest sciences and my favorite and my favorite subject.