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, geometry and/or work:
“Living in cities is an art, and we need the vocabulary of art, of style, to describe the peculiar relationship between man and material that exists in the continual creative play of urban living. The city as we imagine it, then, soft city of illusion, myth, aspiration, and nightmare, is as real, maybe more real, than the hard city one can locate on maps in statistics, in monographs on urban sociology and demography and architecture.”
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“... 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.”
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“Mildred Pierce: You look down on me because I work for a living, don’t you? You always have. All right, I work. I cook food and sell it and make a profit on it, which, I might point out, you’re not too proud to share with me.
Monte Beragon: Yes, I take money from you, Mildred. But not enough to make me like kitchens or cooks. They smell of grease.
Mildred Pierce: I don’t notice you shrinking away from a fifty- dollar bill because it smells of grease.”
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