Abstract
§ 5. Shape of the Discontinuous Surface.
If the origin of coordinates is placed on the section of the discontinuous surface with the earth, the formula (17), which represents the, shape of discontinuous surface, is transformed to (19). (19) is again transformed to (22), if coordinates (x, y, z) are rotated by an angle δ given by (20), and then transformed to coordinates (ξ, η, ζ) given by (21). (22) is a fundamental type of parabola.
Thus it is seen that the shape of the vertical section of discontinuous surface is approximately a parabola. Though the position of the vertex of parabola depends on the nature of the air on both sides of the surface, the angle δ and the parameter P are determined only by the situation and direction of the discontinuous surface. Therefore, the shape of the surface is easily drawn from these values, as is shown in Fig. 2.
