منابع مشابه
Radical axes revisited
In this note we are going to shed new light on some aspects of the theory of the radical axis. For a rather complete account of this theory, see Chapter VIII of [1]. We are going to make use of but the most basic properties of radical axes (the existence of the radical axis and of the radical center), and prove some possibly new facts along with a few known ones. First we introduce several conv...
متن کاملReorienting in Virtual 3D Environments: Do Adult Humans Use Principal Axes, Medial Axes or Local Geometry?
Studies have shown that animals, including humans, use the geometric properties of environments to orient. It has been proposed that orientation is accomplished primarily by encoding the principal axes (i.e., global geometry) of an environment. However, recent research has shown that animals use local information such as wall length and corner angles as well as local shape parameters (i.e., med...
متن کاملspherical interpretation of plane geometry in menelaus of alexandria’s sphaerica
menelaus’ sphaerica can be considered as the most important classical text in the tradition of spherics books, written with the aim of the solution of problems arising in spherical astonomy. euclid’s elements is the the most important book on plane geometry. this article aims at a comparative study of menelaus’s sphaerica and euclid’s elements, to show that book i of sphaerica is an attempt to ...
متن کاملQuantum Hall Skyrmions in Spherical Geometry
We have shown here that when 2D electron gas is taken to reside on the surface of 3D sphere with a monopole at the centre we can study quantum Hall skyrmions in terms of the 3+1 dimensional nonlinear sigma model. We have shown that the addition of the Skyrme term in the Lagrangian, for stability of skyrmion, helps us to determine the size of it. We have computed the energy of skyrmions in this ...
متن کاملHexagonal Geometry Clipmaps for Spherical Terrain Rendering
Terrains can be rendered efficiently with rectangular 2D grid of heights. Terrain on spheres, on the other hand, can be rendered using Hierarchical Triangular Mesh (HTM) but the representation does not fit directly with 2D grid of heights. We present a unified representation of HTM and clipmapping using Hexagonal Geometry Clipmaps. This provides one to one correspondence of vertices and heights...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the Edinburgh Mathematical Society
سال: 1884
ISSN: 0013-0915,1464-3839
DOI: 10.1017/s0013091500037305