antipodal points

antipodal points

[an¦tip·əd·əl ′pȯins]
(mathematics)
The points at opposite ends of a diameter of a sphere.
References in periodicals archive ?
It will mean that, when he includes his previous challenges, Mark will have covered 20,000 miles and passed through two antipodal points on the globe - making it a run around the world.
Another way of assessing the antipodal location of the Earth major landforms severity is the rectilinear correlation r coefficient calculation between absolute heights (depths) of the earth surface within antipodal points.
3 in [18]) there exist two antipodal points of S having the same image.
2] be a partition of S into two Borel pieces such that no antipodal points of S lie in the same cell of the partition.
d] touches the boundary of Z in at least two antipodal points rw and -rw, w [member of] [S.
Plane elliptic geometry is closely related to spherical geometry, but it differs in that antipodal points on the sphere are identified.
On the other hand, Borsuk's theorem only requires the mapping f to be continuous on the ball and to fulfill a non-colinearity condition for the function values at all pairs of antipodal points on the boundary of the ball.
The first strict circumnavigation, covering two antipodal points, was made by Lowell Smith and Leslie Arnold in two US Army Douglas DWC seaplanes in 57 legs beginning and ending in Chicago in 1924
The Guinness book of world record rules require competitors to travel at least 18,000 miles by land and 8,000 by sea or air, via two antipodal points.
To find antipodal points, note that any two of the circles shown intersect in a pair of antipodal points.