Search results

infinite-radius celestial sphere will be looking along parallel lines, and observers looking toward the same great circle, along parallel planes. On an infinite-radius...

or meridians. Small circles on the sphere that are parallel to the equator are circles of latitude (or parallels). In geometry unrelated to astronomical...

be generated by the intersection of the sphere with a plane parallel to a plane through the center of the sphere. If l, m, n are three distinct lines, then...

In mathematics, an n-sphere or hypersphere is an ⁠ n {\displaystyle n} ⁠-dimensional generalization of the ⁠ 1 {\displaystyle 1} ⁠-dimensional circle and...

astronomical coordinates specify the location of a point on the celestial sphere in the equatorial coordinate system. An old term, right ascension (Latin:...

chord of the circle. Both definitions are also valid for the diameter of a sphere. In more modern usage, the length d {\displaystyle d} of a diameter is also...

interior of the sphere. Parallel planes cut the sphere into parallel (concentric) small circles; the pair of parallel planes tangent to the sphere are tangent...

mathematics, a hypersphere, 3-sphere, or glome is a 4-dimensional analogue of a sphere, and is the 3-dimensional n-sphere. In 4-dimensional Euclidean space...

points on a sphere representing them are antipodal, at the two opposite ends of a common diameter. Two directions are parallel (as in parallel lines) if...

armillary sphere (variations are known as spherical astrolabe, armilla, or armil) is a model of objects in the sky (on the celestial sphere), consisting...

another coordinate system. A more appropriate parallel transportation system exploits the symmetry of the sphere under rotation. Given a vector at the north...

In mathematics, the Riemann sphere, named after Bernhard Riemann, is a model of the extended complex plane (also called the closed complex plane): the...

a spherical segment is the solid defined by cutting a sphere or a ball with a pair of parallel planes. It can be thought of as a spherical cap with the...

Dandelin sphere intersects the cone at a circle; let both of these circles define their own planes. The intersections of these two parallel planes with...

geometry of the two-dimensional surface of a sphere or the n-dimensional surface of higher dimensional spheres. Long studied for its practical applications...

The public sphere (German: Öffentlichkeit) is an area in social life where individuals can come together to freely discuss and identify societal problems...

shift in the basic meaning—solid versus surface (as in a solid ball versus sphere surface)—has created some ambiguity with terminology. The two concepts may...

true halfway point is 16.2 km (10.1 mi) south of this parallel because Earth is not a perfect sphere, but bulges at the equator and is flattened at the poles...

either the center or centers of a Klerksdorp sphere. Some of these objects exhibit well-defined and parallel latitudinal grooves or ridges. Even specimens...

not exist (if the lines are parallel). Other types of geometric intersection include: Line–plane intersection Line–sphere intersection Intersection of...