论文标题
球形和固体几何形状的相关问题
Related Problems in Spherical and Solid Geometry
论文作者
论文摘要
在球形几何形状的上下文中，一个简单的问题似乎很有趣，似乎在数学文献中尚未审查。该问题也可以作为实际投影平面中的问题重新解决。球体上的问题涉及四个伟大的圆圈及其交叉点。关于这个问题提出了实质性的主张，随后通过将球形问题与固体几何形状的引人注目的问题联系起来来证明。后一个问题实质上涉及四面体角度之间的关系，并且具有实际应用，尤其是与透视三分（姿势）问题有关的关系。
A problem that is simple to state in the context of spherical geometry, and that seems rather interesting, appears to have been unexamined to date in the mathematical literature. The problem can also be recast as a problem in the real projective plane. The problem on the sphere involves four great circles and their intersections. A substantial claim is made concerning this problem, and subsequently proved by relating the spherical problem to a compelling problem in solid geometry. This latter problem essentially concerns relationships between the angles of a tetrahedron, and has practical applications, particularly in connection with the Perspective 3-Point (Pose) Problem.
