Euclid of Alexandria

To build a strong argument, one must start with solid foundations. Much like building a house, but with fewer bricks and more logic.

Some truths are self-evident. Others require a diagram, a proof, and a good deal of patience from the student.

The universe is built on mathematical principles. Ignore them at your own peril, or at least, at the peril of your bridge.

A straight line is a line which lies evenly with the points on itself. Unlike some people, who lie unevenly with everyone.

The pursuit of knowledge is its own reward. Though a few obols wouldn't hurt, I suppose.

If you can't define your terms, you're not having a discussion, you're having a shouting match. And I prefer geometry.

The beauty of a proof is not just in its conclusion, but in the elegance of its journey.

To understand the infinite, start with the finite. It's a journey, not a leap of faith.

Some problems are like trying to fit a square peg in a round hole. Others are like trying to prove the parallel postulate.

The foundations of geometry are simple, yet profound. Much like the universe itself, if you bother to look closely.

To those who say mathematics is dry, I say they haven't seen the elegant dance of a well-constructed proof.

A theorem is a truth that has been earned, not merely stated. A lesson many could learn.

What is asserted without proof can be denied without proof.

Let it be granted that a circle may be described with any centre and any radius.

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

The knowledge of which geometry aims is the knowledge of the eternal.

The beautiful is always symmetrical.

Logic is the beginning of wisdom, not the end.

Truth is eternal, and so is geometry.

The universe is a grand book written in the language of mathematics.