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Abstract

We now proceed to a discussion of the general case of our problem. It will become evident that the general case, in fact, includes the special cases already discussed.

Under the conditions which we have imposed thus far, namely, that the medium is one of constant seismic velocity, bounded by the horizontal plane of the earth and a dipping reflecting plane, there is a fact of basic importance:

The sum of the squares of the travel-times of a reflection from a central shot point to any pair of diametrically opposite points is constant; that is, this sum is the same whatever be the azimuth of the line joining the two points.

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