Q: Does "head" have the same meaning in the following two sentences?

They were at the head of the attack.

The head of the column advanced boldly.

A: the same meaning

Q: Does "entreaty" have the same meaning in the following two sentences?

We need an entreaty to stop the hostilities.

An entreaty to stop the fighting.

A: the same meaning

Q: Does "locus" have the same meaning in the following two sentences?

The locus of points equidistant from a given point is a circle.

A circle is the locus of points from which the distance to the center is a given value, the radius.

A:
the same meaning