What is spherical geometry?


Spherical geometry is the branch of mathematics that deals with figures placed on the surface of a sphere. It can also be defined as a three-dimensional view of more traditional planar geometry; although, there are numerous differences between the planar and spherical subsets of geometrical study. Some of the basic tenets of planar geometry don't carry over to spherical geometry because it deals with different mathematical concepts.

Spherical geometry is useful because it creates easy metrics that can be used to study complex three-dimensional shapes, such as spheres. However, there are some caveats to this branch of mathematics because some of the laws and rules of planar geometry don't apply to spherical geometry. For this reason, spherical geometry is sometimes confusing to math students, notes the University of Georgia Mathematical Education Program. As an example, there are no parallel or straight lines in spherical geometry. Circles are the basic shape utilized in this mathematical branch, which stands in stark contrast to traditional planar geometry where students are introduced to lines as one of the simplest and most basic geometric constructs. Consider this: on a globe of the Earth, lines of longitude are parallel at the equator but cross at the poles.

Q&A Related to "What is spherical geometry?"
1. Determine the latitude and longitude of two separate points located on the sphere. As an example, assume the two points are (45, 180) and (30, 45) where the coordinates given are
All right angles are still equal. Only one straight line can be drawn between any two nonpolar points. A circle can be drawn with any point at its center. Apex - TF.
Spherical geometry is the geometry of the two-dimensional surface of a sphere. Two
The Spherical Geometry is the study of figures on the surface of a sphere, as opposed to the type of geometry studied in plane geometry or solid geometry.
1 Additional Answer
Ask.com Answer for: spherical geometry
spherical geometry
the branch of geometry that deals with figures on spherical surfaces.
Source: Dictionary.com
Explore this Topic
The two main branches of trigonometry are plane trigonometry and spherical geometry. Trigonometry in general deals with the study of the relationships involving ...
About -  Privacy -  Careers -  Ask Blog -  Mobile -  Help -  Feedback  -  Sitemap  © 2014 Ask.com