Felix Klein Quotes

Geometry was the first exciting course I remember.

I didn't discover curves; I only uncovered them.

Mathematics is written for mathematicians.

If it is not now the time to study Geometry, when will it be?

I use trigonometry all the time.

Everything is roughness, except for the circles. How many circles are there in nature? Very, very few. The straight lines. Very shapes are very, very smooth. But geometry had laid them aside because they were too complicated.

My basic mathematics is rather weak, so when some of the theories are broken into equations, I get rather lost.

As a child it was clear to me that in some sense math was in the world around us. I became fascinated by what this means. When you look at the shape of the sun and the moon, they're circles, so every time you see a circular thing, there's pi embedded in it.

Mathematics commands all my respect, but I have no use for engines.

Geometry draws the soul towards truth.

The composer opens the cage door for arithmetic, the draftsman gives geometry its freedom.

A line is length without breadth.

In mathematics, two angles that are said to coincide fit together perfectly. The word "coincidence" does not describe luck or mistakes. It describes that which fits together perfectly.

There are all sorts of things embodied in the Lego brick - geometry and mathematics and truth and proportion and shape and colour... It is a faintly spiritual activity that everybody connects with.

The existence of these patterns [fractals] challenges us to study forms that Euclid leaves aside as being formless, to investigate the morphology of the amorphous. Mathematicians have disdained this challenge, however, and have increasingly chosen to flee from nature by devising theories unrelated to anything we can see or feel.

Galois read the geometry from cover to cover as easily as other boys read a pirate yarn.

Symmetrical equations are good in their place, but ' vector ' is a useless survival, or offshoot from quaternions, and has never been of the slightest use to any creature.

Life is merely a fracas on an unmapped terrain, and the universe a geometry stricken with epilepsy.

What exactly is mathematics? Many have tried but nobody has really succeeded in defining mathematics; it is always something else.

What is algebra exactly; is it those three-cornered things?

Today we live in a chaos of straight lines, in a jungle of straight lines. If you do not believe this, take the trouble to count the straight lines which surround you. Then you will understand, for you will never finish counting.

Self-similarity is a dull subject because you are used to very familiar shapes. But that is not the case. Now many shapes which are self-similar again, the same seen from close by and far away, and which are far from being straight or plane or solid.

Euclid alone Has looked on Beauty bare. Fortunate they Who, though once only and then but far away, Have heard her massive sandal set on stone.

From Euclid to Newton there were straight lines. The modern age analyzes the wavers.