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:
“Film music should have the same relationship to the film drama that somebodys piano playing in my living room has to the book I am reading.”
—Igor Stravinsky (18821971)
“Christianity as an organized religion has not always had a harmonious relationship with the family. Unlike Judaism, it kept almost no rituals that took place in private homes. The esteem that monasticism and priestly celibacy enjoyed implied a denigration of marriage and parenthood.”
—Beatrice Gottlieb, U.S. historian. The Family in the Western World from the Black Death to the Industrial Age, ch. 12, Oxford University Press (1993)
“... 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. Its 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, Im able to avoid or manipulate or process pain.”
—Louise Bourgeois (b. 1911)
“I look on that man as happy, who, when there is question of success, looks into his work for a reply, not into the market, not into opinion, not into patronage.”
—Ralph Waldo Emerson (18031882)