“Sire, there is no royal road to geometry.”

A line is length without breadth.

A prime number is one (which is) measured by a unit alone.

In right-angled triangles the square on the side subtending the right angle is equal to the squares on the sides containing the right angle.

The laws of nature are but the mathematical thoughts of God.

If produced indefinitely, meet on that side on which the angles are less than two right angles.

Better balance, less pain and less restless leg syndrome.

Give him threepence, since he must make a gain out of what he learns.

And the whole is greater than the part.

Things which are equal to the same thing are also equal to one another.

That, if a straight line falling on two straight lines makes the interior angles on the same side less than two right angles, the two straight lines.

A work of morality, politics, criticism will be more elegant, other things being equal, if it is shaped by the hand of geometry.

I did not know then that this is what life is – just when you master the geometry of one world, it slips away, and suddenly again, you’re swarmed by strange shapes and impossible angles.

Those who have more power are liable to sin more; no theorem in geometry is more certain than this.

The greatest pleasure is not – say – sex or geometry. It is just understanding. And if you can get people to understand their own humanity – well, that’s the job of the writer.

No story is a straight line. The geometry of a human life is too imperfect and complex, too distorted by the laughter of time and the bewildering intricacies of fate to admit the straight line into its system of laws.

My origami creations, in accordance with the laws of nature, require the use of geometry, science, and physics.

Geometry alone is not enough to portray human desires, expressions, aspirations, joys. We need more.

Our civil rights have no dependence on our religious opinions any more than our opinions in physics or geometry.