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This is a simple, familiar example of spherical geometry.
Models of this type imply that the universe has an overall spherical geometry.
The plane may be given a spherical geometry by using the stereographic projection.
I am not sure this is that good of answer, but spherical geometry would lead to trig like formulas.
Determining the central angle usually requires some non-trivial spherical geometry.
The "4" in the above equation comes from the spherical geometry of the solid-liquid interface.
Solution of triangles for non-Euclidean spherical geometry has some differences from the plane case.
The exposed surface of the structure is selectively react with other species while maintaining the spherical geometry.
Otherwise, its geometry on a sphere, spherical geometry, which would be in some math books.
The elliptic plane is the easiest instance and is based on spherical geometry.
In this sense the minor arc is analogous to "straight lines" in spherical geometry.
They conducted experiments with a spherical geometry (hollow spheres) of uranium surrounded by heavy water.
Two practical applications of the principles of spherical geometry are to navigation and astronomy.
By my calculations -" He stared momentarily at the ceiling, doing spherical geometry in his head. "
As in spherical geometry the only similar triangles are congruent triangles.
Spherical geometry is the simplest form of elliptic geometry.
Spherical geometry is the simplest form of elliptic geometry, in which a line has no parallels through a given point.
Indeed, it is very easily calculated by means of spherical geometry, what a great extent of the earth's area I beheld.
It relies on the mathematical methods of spherical geometry and the measurements of astrometry.
Spherical geometry is the geometry of the two-dimensional surface of a sphere.
Since spherical geometry violates the parallel postulate, there exists no such triangle on the surface of a sphere.
Euclid also wrote works on perspective, conic sections, spherical geometry, number theory and rigor.
The Elements also includes works on perspective, conic sections, spherical geometry, and possibly quadric surfaces.
A spherical geometry with a small curvature (large radius of curvature) does not make detection difficult.
Yonash attended Downey high school where analytical and spherical geometry were among his favorite subjects.