Skip to content

Euclid Quote by Euclid

“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.” quote by Euclid — Download Open image

““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.””

★ ★ ★ ★ ★ 4.9 out of 5 (3 ratings)

Cut Extreme Euclid Euclidean-geometry Extreme Mean Geometry Golden-ratio History-of-mathematics Mathematics Mean Ratio Ratio Line Said Cut Science Straight line

More by Euclid

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

Image

A line is length without breadth.

Image

And the whole is greater than the part.

Image

Sire, there is no royal road to geometry.

Image

“Handwriting is a spiritual designing, even though it appears by means of a material instrument.”

Image

QED - Quod erat demonstrandum.

Image

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

Image

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.

Image

Better balance, less pain and less restless leg syndrome.

Image

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

Image

There is no royal road to geometry.

Image

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

Image

Explore all 14 Euclid quotes

More Euclid quotes

“When one day Lagrange took out of his pocket a paper which he read at the Académe, and which contained a demonstration of the…

Jean-Baptiste Biot

Image

Regular geometry, the geometry of Euclid, is concerned with shapes which are smooth, except perhaps for corners and lines, special lines which are singularities,…

Benoit Mandelbrot

Image

“Please give it up. Fear it no less than the sensual passion, because it, too, may take up all your time and deprive you…

Image

The science of the church is neglected for the study of geometry, and they lose sight of Heaven while they are employed in measuring…

Image

I have given up newspapers in exchange for Tacitus and Thucydides, for Newton and Euclid; and I find myself much the happier.

Thomas Jefferson

Image

Euclid alone has looked on Beauty bare. Let all who prate of Beauty hold their peace, And lay them prone upon the earth and…

Edna St. Vincent Millay

Image

[T]he 47th proposition in Euclid might now be voted down with as much ease as any proposition in politics; and therefore if Lord Hawkesbury…

Image

“ Euclid 's Elements has been for nearly twenty-two centuries the encouragement and guide of that scientific thought which is one thing with the…

William Kingdon Clifford

Image

I would say, if you like, that the party is like an out-moded mathematics...that is to say, the mathematics of Euclid. We need to…

Image

As to writing another book on geometry [to replace Euclid] the middle ages would have as soon thought of composing another New Testament.

Augustus De Morgan

Image

Euclid alone has looked on Beauty bare. Let all who prate of Beauty hold their peace, And lay them prone upon the earth and…

Edna St. Vincent Millay

Image

It is shocking that young people should be addling their brains over mere logical subtleties in Euclid's Elements, trying to understand the proof of…

Oliver Heaviside

Image

Browse all 59 Euclid quotes