Quotes about hexagon

A collection of quotes on the topic of hexagon, other.

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Quotes about hexagon

“The creation of Modern France through expansion goes back to the establishment of a small kingdom in the area around Paris in the late tenth century and was not completed until the incorporation of Nice and Savoy in 1860. The existing "hexagon" was the result of a long series of wars and conquests involving the triumph of French language and culture over what once were autonomous and culturally distinctive communities. The assimilation of Gascons, Savoyards, Occitans, Basques, and others helped to sustain the myth that French overseas expansionism in the nineteenth century, especially to North and West Africa, was a continuation of the same assimilationist project.”

George M. Fredrickson (1934–2008) American professor and historian

2000s, National Identity in France and the United States (2003)

War , Communication , Help

“Over and above the specific theorems created by men such as Desargues, Pascal and La Hire, several new ideas and outlooks were beginning to appear. The first is the idea of continuous change of a mathematical entity from one state to another… [i. e., of a] a geometrical figure. It was Kepler, in his Astronomiae Optica of 1604, who first seemed to grasp the fact that parabola, ellipse, hyperbola, circle, and the degenerate conic consisting of a pair of lines are continuously derivable from each other…. The notion of a continuous change in a figure was also employed by Pascal. He allowed two consecutive vertices of his hexagon to approach each other so that the figure became a pentagon. In the same manner he passed from pentagons to quadrilaterals.
The second idea to emerge from the work of the projective geometers is that of transformation and invariance. To project a figure from some point and then take a section of that projection is to transform the figure to a new one. The properties… of interest are those that remain invariant under transformation. Other geometers of the seventeenth century, for example, Gregory of St. Vincent… and Newton, introduced transformations other than projection and section.”

Morris Kline (1908–1992) American mathematician

Source: Mathematical Thought from Ancient to Modern Times (1972), pp. 298-299

Men , Mathematics , Idea , Appearance

“The universe (which others call the Library) is composed of an indefinite and perhaps infinite number of hexagonal galleries, with vast air shafts between, surrounded by very low railings.”

Jorge Luis Borges book The Library of Babel

"The Library of Babel" ["La Biblioteca de Babel"] (1941) First lines

Universe

“The force that makes the winter grow
Its feathered hexagons of snow,
and drives the bee to match at home
Their calculated honeycomb,
Is abacus and rose combined.

An icy sweetness fills my mind,
A sense that under thing and wing
Lies, taut yet living, coiled, the spring.”

Jacob Bronowski (1908–1974) Polish-born British mathematician

Part 4: "The Abacus and the Rose" (fin)
Science and Human Values (1956, 1965)

Home , Spring , Sense , Bee

“Swati Tirunal, now thirteen… took up a book of mathematics and selecting the forty seventh proposition of Euclid sketched the figure on a country slate but what astonished me most was his telling us in English that Geometry was derived from the Sanskrit, which as Jaw metor (Jyamiti) to measure the earth and that many of our mathematical terms were also derived from the same source such as hexagon, heptagon, octagon… This promising boy is now, I conclude, sovereign of the finest country in India for he was to succeed to the Musnud (throne) the moment he had attained his 16th year.”

Swathi Thirunal Rama Varma (1813–1846) Maharajah of Travencore

Colonel Welsh, in "The Monarch musician"
About Swathi Thirunal

Books , Mathematics , Boy , Country