Argument Quote by George Polya

Euclid taught me that without assumptions there is no proof. Therefore, in any argument, examine the assumptions.

— Anonymous

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

Euclid manages to obtain a rigorous proof without ever dealing with infinity, by reducing the problem [of the infinitude of primes] to the study…

— Lucio Russo

“ 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

Euclid avoids it [the treatment of the infinite]; in modern mathematics it is systematically introduced, for only then is generality obtained.

— Arthur Cayley

We think of Euclid as of fine ice; we admire Newton as we admire the peak of Teneriffe. Even the intensest labors, the most…

— Walter Bagehot

The early study of Euclid made me a hater of geometry.

— James Joseph Sylvester

“His idea was to begin with those broad truths that must underlie all conceivable mental existences and establish a basis on those. The great…

— H.G. Wells

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

— Edward Gibbon

In geometry I find certain imperfections which I hold to be the reason why this science, apart from transition into analytics, can as yet…

— Nikolai Lobachevsky

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

“In other words, to put it into Euclid, or old-fashioned plane geometry, a straight line is not the shortest distance between two points.”

— Madeleine L'Engle