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:
“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)
“... 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)
“He does not go to the dictionary, the word-book, but to the word-manufactory itself, and has made endless work for the lexicographers.”
—Henry David Thoreau (1817–1862)