Euclid Quotes & Sayings

A straight line is said to have been cut in extreme and mean ratio when, as the whole line is to the greater segment, so is the greater to the lesser. — Euclid

Sire, there is no royal road to geometry. — Euclid

A line is length without breadth. — Euclid

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. — Euclid

Better balance, less pain and less restless leg syndrome. — Euclid

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

There is no Royal Road to Geometry. — Euclid

And the whole is greater than the part. — Euclid

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

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

What has been affirmed without proof can also be denied without proof."- — Euclid

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

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