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Abstract

We return at this point to further mathematical considerations. The problem we now set before us is that of determining the form of the wave-fronts in a vertical section through a shot-point on the surface below which the medium is one in which the velocity increases linearly with depth.

We must first reconsider the results on pages 207 and 208 in the light of their physical significance for we have manipulated the equations formally without “watching our step” closely enough. In fact, a hint of possible difficulties was expressed in the second footnote on pages 207 and 208.

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