Euclidean - Geometry

Geometry

  • Euclidean space, the two-dimensional plane and three-dimensional space of Euclidean geometry as well as their higher dimensional generalizations
  • Euclidean geometry, the study of the properties of Euclidean spaces
  • Non-Euclidean geometry, systems of points, lines, and planes analogous to Euclidean geometry but without uniquely determined parallel lines
  • Euclidean distance, the distance between pairs of points in Euclidean spaces
  • Euclidean ball, the set of points within some fixed distance from a center point

Read more about this topic:  Euclidean

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)