. Annual report of the Board of Regents of the Smithsonian Institution. Smithsonian Institution; Smithsonian Institution. Archives; Discoveries in science. /'///<S of a zone, so that the projection of these l^oints of the faces will be the periphery of the circle. The most important peculiarities of such a projection are the following : 1. Every circle will be projected on the sphere, either as a circle or a diameter. 2. Every great circle will be projected on / the sphere as an arc, which cuts the prin- cipal circle in the extremities of a diameter of the zone, or as a diameter itself. In


. Annual report of the Board of Regents of the Smithsonian Institution. Smithsonian Institution; Smithsonian Institution. Archives; Discoveries in science. /'///<S of a zone, so that the projection of these l^oints of the faces will be the periphery of the circle. The most important peculiarities of such a projection are the following : 1. Every circle will be projected on the sphere, either as a circle or a diameter. 2. Every great circle will be projected on / the sphere as an arc, which cuts the prin- cipal circle in the extremities of a diameter of the zone, or as a diameter itself. In such an arc, for that reason, also, the poles of the tautozoual faces lie, as, for instance, A e/A' ;BdeB';BcfB';A d c A'. 3. Let every point, P, which, on the sphere, is at 90° from all points of this circle, be the pole of a zone-circle, H K, (Fig. 8,) which is also the. Please note that these images are extracted from scanned page images that may have been digitally enhanced for readability - coloration and appearance of these illustrations may not perfectly resemble the original Smithsonian Institution. Board of Regents; United States National Museum. Report of the U. S. National Museum; Smithsonian Institution. Report of the Secretary. Washington : Smithsonian Institution


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