Aircraft routes approximate to great circles because an arc of a great circle is the shortest distance between two points on the sphere.
Any two great circles will intersect in two points that are antipodes of each other.
That is, any two great circles
on the sphere meet at a pair of antipodal points.
To understand these limits, the intersection I of a spherical lune defined by two great circles
with angle [omega], and, perpendicular to that lune, an infinitely thin spherical segment defined by two parallel small circles with angular distance t are constructed (Figure 13a).
Until this complete account of the excavations at Barnhouse, however, no researcher has succeeded in connecting the two differing facets of Orcadian prehistory: the monumental represented by the tombs and great circles
the Ring of Brodgar and the Stones of Stenness; and the domestic as represented by Skara Brai, Rinyo, and Knap of Howar.
2] are the measurable circumferences of great circles
at aphelion and at perihelion.
The years provided further glimpses: Sanders at the twenty-fifth anniversary of On the Road's publication in Boulder, a ten-day celebration where not only attendees imbibed ritualistically but Trungpa Rinpoche swigged sake from the stage as he addressed the enclave, moving his arms in great circles
symbolizing OM, universal peace.
The meridians of longitude loop from the North Pole to the South and back again in great circles
of the same size, so they all converge at the ends of the Earth.
After consideration of various arrangements of framing, a treble intersection system of ribs, all of which lay on great circles
of the dome for the whole or part of their length, were adopted'.
Scanning the heavens in great circles
that pass through the north and south ecliptic poles, the German-built X-ray telescope imaged much fainter objects and achieved an angular resolution three times greater than the orbiting Einstein Observatory, which conducted a smaller X-ray imaging survey in 1979.
On the sphere, edges are minor arcs of great circles
(like the line segments in the plane, these arcs are also geodesics).
An example of the latter is an evolution along a great circle
on a sphere for a two-level system which we will encounter in the forthcoming discussion.