## Geometry

**Geometry** (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. A mathematician who works in the field of geometry is called a geometer. Geometry arose independently in a number of early cultures as a body of practical knowledge concerning lengths, areas, and volumes, with elements of a formal mathematical science emerging in the West as early as Thales (6th Century BC). By the 3rd century BC geometry was put into an axiomatic form by Euclid, whose treatment—Euclidean geometry—set a standard for many centuries to follow. Archimedes developed ingenious techniques for calculating areas and volumes, in many ways anticipating modern integral calculus. The field of astronomy, especially mapping the positions of the stars and planets on the celestial sphere and describing the relationship between movements of celestial bodies, served as an important source of geometric problems during the next one and a half millennia. Both geometry and astronomy were considered in the classical world to be part of the Quadrivium, a subset of the seven liberal arts considered essential for a free citizen to master.

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### Some articles on geometry:

**Geometry**

... values in Ω(t), gives a model of Euclidean

**geometry**... the plane (points (x,y) with x and y finite), a

**geometry**is obtained in which the parallel postulate fails but the sum of the angles of a triangle is π ... This is Dehn's semi-Euclidean

**geometry**...

**Geometry**Software

... Interactive

**geometry**software (IGS, or dynamic

**geometry**environments, DGEs) are computer programs which allow one to create and then manipulate geometric constructions, primarily in plane

**geometry**...

**Geometry**- Algebraic

**Geometry**

... The field of algebraic

**geometry**is the modern incarnation of the Cartesian

**geometry**of co-ordinates ... problems, the Hodge conjecture, is a question in algebraic

**geometry**... Gröbner basis theory and real algebraic

**geometry**are among more applied subfields of modern algebraic

**geometry**...

**Geometry**Software - 2D Programs - GCLC

... GCLC is a dynamic

**geometry**tool for visualizing and teaching

**geometry**, and for producing mathematical illustrations ... There is a built-in

**geometry**theorem prover (based on the area method) ...

**Geometry**- CR

**Geometry**

... CR

**geometry**is the study of the intrinsic

**geometry**of boundaries of domains in complex manifolds ...

### Famous quotes containing the word geometry:

“I am present at the sowing of the seed of the world. With a *geometry* of sunbeams, the soul lays the foundations of nature.”

—Ralph Waldo Emerson (1803–1882)

“... *geometry* became a symbol for human relations, except that it was better, because in *geometry* things never go bad. If certain things occur, if certain lines meet, an angle is born. You cannot fail. It’s not going to fail; it is eternal. I found in rules of mathematics a peace and a trust that I could not place in human beings. This sublimation was total and remained total. Thus, I’m able to avoid or manipulate or process pain.”

—Louise Bourgeois (b. 1911)

“The *geometry* of landscape and situation seems to create its own systems of time, the sense of a dynamic element which is cinematising the events of the canvas, translating a posture or ceremony into dynamic terms. The greatest movie of the 20th century is the Mona Lisa, just as the greatest novel is Gray’s Anatomy.”

—J.G. (James Graham)