## It's the end of an era it's true.

For this revolution, Copernicus is ranked #19 on Hart's Listof the Most Influential Persons in History; however I thinkthere are several reasons why Copernicus' importance may be exaggerated:(1) Copernicus' system still used circles and epicycles, so itwas left to Kepler to discover the facts of elliptical orbits;(2) he retained the notion of a sphere of fixed stars,thus missing the unifying insight that our sun is one of many;(3) Giordano Bruno (1548-1600), who built on Copernicus'discovery, was a better and more influential scientist,anticipating some of Galileo's concepts;and (4) the Scientific Revolution didn't really get underwayuntil the invention of the telescope, which would have soonled to the discovery of heliocentrism in any event.

The Theorem is sometimes called the "Cat's Cradle"or the "Mystic Hexagram."Pascal followed up this result by showing that each of Apollonius'famous theorems about conic sections was a corollary of the Mystic Hexagram;along with Gérard Desargues (1591-1661),he was a key pioneer of projective geometry.

## - Tony Bennett about Amy Winehouse

Remarkably, he stated that the cubic solution could not be achievedwith straightedge and compass, a fact that wouldn'tbe proved until the 19th century.

## Thales' writings have not survived and are known only second-hand.

He is most famous for the Möbius strip; this one-sidedstrip was first discovered by Lister, but Möbius went muchfurther and developed important new insights in topology.

## Anaximander's most famous student, in turn, was Pythagoras.

Several inventions are named after him, such as the Möbiustransformation and Möbius net of geometry, andthe Möbius function and Möbius inversion formulaof algebraic number theory.

## He believed thinking was located in the brain rather than heart.

These revolutionary discoveries inspired Plücker, and weredeclared by Gauss to be"among the most revolutionary intuitions in the history of mathematics."

Lobachevsky is famous for discovering non-Euclidean geometry.

## The words and are said to havebeen coined by Pythagoras.

Cauchy is credited with group theory, yet it was Galois whoinvented this first, abstracting it far more than Cauchy did,some of this in a work which Cauchy "mislaid."(For this historical perhaps Cauchyshould be demoted.)

Möbius worked as a Professor of physics and astronomy,but his astronomy teachers included Carl Gauss and other brilliantmathematicians, and Möbius is most noted for his work in mathematics.

## The emphasis was on pure, rather than practical, mathematics.

which maynot someday be applied to the phenomena of the real world."He also worked in several branches of analysis and physics, anticipated themodern definition of function, and may have been first to explicitly note thedistinction between continuous and differentiable curves.

## Hippocrates is said tohave invented the proof method.

(Gauss had proved the case k = 3.)One of the duties of a great mathematician is to nurturehis successors, but Cauchy selfishly dropped the ballon both of the two greatest young mathematicians of his day,mislaying key manuscripts of Abel and Galois.