Geometric Progression - Relationship To Geometry and Euclid's Work

Relationship To Geometry and Euclid's Work

Books VIII and IX of Euclid's Elements analyze geometric progressions and give several of their properties.

A geometric progression is given this name because each term is the geometric mean of the two adjacent terms.

Read more about this topic:  Geometric Progression

Famous quotes containing the words relationship to, relationship, geometry and/or work:

    Poetry is above all a concentration of the power of language, which is the power of our ultimate relationship to everything in the universe.
    Adrienne Rich (b. 1929)

    Harvey: Oh, you kids these days, I’m telling you. You think the only relationship a man and a woman can have is a romantic one.
    Gil: That sure is what we think. You got something better?
    Harvey: Oh, romance is very nice. A good thing for youngsters like you, but Helene and I have found something we think is more appropriate to our stage of life—companionship.
    Gil: Companionship? I’ve got a flea-bitten old hound at home who’ll give me that.
    Tom Waldman (d. 1985)

    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)

    Bless you, of course you’re keeping me from work,
    But the thing of it is, I need to be kept.
    There’s work enough to do there’s always that;
    But behind’s behind. The worst that you can do
    Is set me back a little more behind.
    I shan’t catch up in this world, anyway.
    I’d rather you’d not go unless you must.
    Robert Frost (1874–1963)