"**Geometry** (from the Ancient Greek: γεωμετρία; *geo-* "earth", *-metron* "measurement") is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space." From "Geometry." *Wikipedia, The Free Encyclopedia. *Web. 22 June 2015.

Geometry is the study of figures in a space of a given number of dimensions and of a given type. The most common types of geometry are plane geometry (dealing with objects like the point, line, circle, triangle, and polygon), solid geometry (dealing with objects like the line, sphere, and polyhedron), and spherical geometry (dealing with objects like the spherical triangle and spherical polygon). Geometry was part of the quadrivium taught in medieval universities. Weisstein, Eric W. "Geometry." From *MathWorld*--A Wolfram Web Resource. http://mathworld.wolfram.com/Geometry.html

"** topology**, branch of mathematics, sometimes referred to as 'rubber sheet geometry,' in which two objects are considered equivalent if they can be continuously deformed into one another through such motions in space as bending, twisting, stretching, and shrinking while disallowing tearing apart or gluing together parts. The main topics of interest in

The area of **topology** dealing with abstract objects is referred to as general, or point-set, **topology**. General **topology** overlaps with another important area of **topology** called algebraic **topology**. These areas of specialization form the two major subdisciplines of **topology** that developed during its relatively modern history." From "**topology**." *Encyclopaedia Britannica. Encyclopaedia Britannica Online Academic Edition*. Encyclopædia Britannica Inc., 2015. Web. 12 Feb. 2015.

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