By Nicholas Rast

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13. Determination on plan of projection of point of intersection of a ray with a reflecting interface. 1—structure contours of reflecting interface; 2—direction of incidence of ray. with the reflecting boundary. This projection is also found to be the geo metric locus of the trace projections of the intersection with a reflecting boundary of individual rays of the ray surface, in our case rays with azimuths in the first medium which are 10° from one another. The traces of the rays' intersection with the reflecting interface are found to be points on the ray and the interface which have the same depth.

Both directions are plotted by means of the net on tracing paper (points A and Β Fig. 3), and by rotating the tracing paper the plane in which both points lie is found. The points under consideration, A and 5, take up positions A' and ß' respectively. The angle between points A' and ß' in this plane are counted off on the net; in our case this is equal to 54°. This angle is also the angle between the given directions in space. Problem 3. Given the direction of an incident ray and of the normal to the interface at the point of incidence, to determine the direction of a reflected, a refracted and a grazing ray.

64 Ε. I. GAL'PERIN et al. This projection is found as the geometric locus of the projected traces of the interface with rays with azimuths 10° apart from one another and with projections shown by the radial Unes. The projection of the traces of intersection of the rays with the interface are found as projections of points on the rays and on the interface, then points having the same depth. A ray with its azimuth in the first medium at 300°, intersects the inclined refracting interface at a depth of 356 m.