Abstract
The authors of this paper have studied on the subjects given above as the title of this paper, where the representation is defined as that the area of the image is to be propotional to the solid angle of spacial form. They lead themselves to some mathematical equation to represent the elements of spacial form graphically in equi-solid anglerepresentation, and to the graphs of the images. Solid angle of a spacial form of general shape as a part of the sky viewed through a window is graphically estimated by means of estimation of the area of the image of the form. The authors have made out some graphic rules for estimation of solid angles on the graphs of the images in various types of projections and showed some of their applications. The graphic rules mentioned above are all derived from the equi-solid angle-representation. The form of the graphic rules are as follows : Equi-solid angle-representation Stereographic projection Orthographic projection Sun shine curve type Waldram's chart type Mercator's map type.
