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:
“Strange and predatory and truly dangerous, car thieves and muggers—they seem to jeopardize all our cherished concepts, even our self-esteem, our property rights, our powers of love, our laws and pleasures. The only relationship we seem to have with them is scorn or bewilderment, but they belong somewhere on the dark prairies of a country that is in the throes of self-discovery.”
—John Cheever (1912–1982)
“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)
“In some withdrawn, unpublic mead
Let me sigh upon a reed,
Or in the woods, with leafy din,
Whisper the still evening in:
Some still work give me to do,—
Only—be it near to you!
For I’d rather be thy child
And pupil, in the forest wild,
Than be the king of men elsewhere,
And most sovereign slave of care:
To have one moment of thy dawn,
Than share the city’s year forlorn.”
—Henry David Thoreau (1817–1862)