The sacred writings excepted, no Greek has been so much read and so variously translated as Euclid. — Augustus De Morgan Copy Share 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 Copy Share Image
The once-surprising existence of non-Euclidean models of Euclid's first four axioms can be seen as a sort of mathematical joke. — John Allen Paulos Copy Share Image
From Euclid to Newton there were straight lines. The modern age analyzes the wavers. — Saul Bellow Copy Share Image
I have in later years taken to Euclid, Whitehead, Bertrand Russell, in an elemental way. — Carl Sandburg Copy Share Image
Euclid taught me that without assumptions there is no proof. Therefore, in any argument, examine the assumptions. — Anonymous Copy Share Image
Euclid alone Has looked on Beauty bare. Fortunate they Who, though once only and then but far away, Have heard her massive… — Edna St. Vincent Millay Copy Share Image
Euclid avoids it [the treatment of the infinite]; in modern mathematics it is systematically introduced, for only then is generality obtained. — Arthur Cayley Copy Share Image
“In other words, to put it into Euclid, or old-fashioned plane geometry, a straight line is not the shortest distance between two… — Madeleine L'Engle Copy Share 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… — Alain Badiou Copy Share Image
If Euclid's point, though incapable of being drawn by any human agency, has an imperishable value, my picture has its own for… — Mahatma Gandhi Copy Share Image
Euclid manages to obtain a rigorous proof without ever dealing with infinity, by reducing the problem [of the infinitude of primes] to… — Lucio Russo Copy Share Image
I was interviewed on the Israeli radio for five minutes and I said that more than 2000 years ago, Euclid proved that… — Noga Alon Copy Share Image
“A straight line is said to have been cut in extreme and mean ratio when, as the whole line is to the… — Euclid Copy Share Image
Regular geometry, the geometry of Euclid, is concerned with shapes which are smooth, except perhaps for corners and lines, special lines which… — Benoit Mandelbrot Copy Share Image
The science of the church is neglected for the study of geometry, and they lose sight of Heaven while they are employed… — Edward Gibbon Copy Share Image
At the age of eleven, I began Euclid, with my brother as my tutor. This was one of the great events of… — Bertrand Russell Copy Share Image
“Please give it up. Fear it no less than the sensual passion, because it, too, may take up all your time and… — Farkas Bolyai Copy Share Image
[T]he 47th proposition in Euclid might now be voted down with as much ease as any proposition in politics; and therefore if… — Sydney Smith Copy Share Image
The anceints devoted a lifetime to the study of arithmetic; it required days to extract a square root or to multiply two… — John Perry Copy Share Image
I claim that many patterns of Nature are so irregular and fragmented, that, compared with Euclid-a term used in this work to… — Benoit Mandelbrot Copy Share Image
“Do not try the parallels in that way: I know that way all along. I have measured that bottomless night, and all… — Farkas Bolyai Copy Share Image
“Believe me, if Archimedes ever had the grand entrance of a girl as pretty as Gloria to look forward to, he would… — David Klass Copy Share Image
“ Euclid 's Elements has been for nearly twenty-two centuries the encouragement and guide of that scientific thought which is one thing… — William Kingdon Clifford Copy Share Image
“As to the need of improvement there can be no question whilst the reign of Euclid continues. My own idea of a… — Oliver Heaviside Copy Share Image
“These estimates may well be enhanced by one from F. Klein (1849-1925), the leading German mathematician of the last quarter of the… — Eric Temple Bell Copy Share Image
In geometry I find certain imperfections which I hold to be the reason why this science, apart from transition into analytics, can… — Nikolai Lobachevsky Copy Share Image
Let me tell you how at one time the famous mathematician Euclid became a physician. It was during a vacation, which I… — Bernard Bolzano Copy Share Image
“In Euclid's Elements we meet the concept which later plays a significant role in the development of science. The concept is called… — Alexey Stakhov Copy Share Image
“It is well known that geometry presupposes not only the concept of space but also the first fundamental notions for constructions in… — Bernhard Riemann Copy Share Image
“Kepler followed Proclus and believed that 'the main goal of Euclid was to build a geometric theory of the so-called Platonic solids.'… — C. Smoryński Copy Share Image
Euclid alone has looked on Beauty bare. Let all who prate of Beauty hold their peace, And lay them prone upon the… — Edna St. Vincent Millay Copy Share Image
The cowboys have a way of trussing up a steer or a pugnacious bronco which fixes the brute so that it can… — Eric Bell Copy Share Image
It is shocking that young people should be addling their brains over mere logical subtleties in Euclid's Elements, trying to understand the… — Oliver Heaviside Copy Share Image
The primes are the raw material out of which we have to build arithmetic, and Euclid's theorem assures us that we have… — G. H. Hardy Copy Share Image
“Much as Euclid proved that there can only ever be five 3d Platonic solids, over two millennia later Schafli proved that there… — Matt Parker Copy Share Image
As to writing another book on geometry [to replace Euclid] the middle ages would have as soon thought of composing another New… — Augustus De Morgan Copy Share Image
![“Euclid avoids it [the treatment of the infinite]; in modern mathematics it is systematically introduced, for only then is generality obtained.” quote by Arthur Cayley](https://sms4smile.com/quotes/i/5dc/arthur-cayley-48537_euclid_euclid-avoids-it-the-treatment-of-the-in_1635536.png)
![“Euclid manages to obtain a rigorous proof without ever dealing with infinity, by reducing the problem [of the infinitude of primes] to the study of finite numbers. This is exactly what contemporary mathematical analysis does.” quote by Lucio Russo](https://sms4smile.com/quotes/i/66c/lucio-russo-43521_analysis_euclid-manages-to-obtain-a-rigorous-proo_2943863.jpg)
![“[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 hates the abstract truths of science as much as he hates concrete truth in human affairs, now is his time for getting rid of the multiplication table, and…” quote by Sydney Smith](https://sms4smile.com/quotes/i/709/sydney-smith-6523_abstract_t-he-47th-proposition-in-euclid-might-no_463551.png)
![“Kepler followed Proclus and believed that 'the main goal of Euclid was to build a geometric theory of the so-called Platonic solids.' Kepler was fascinated by Proclus and often quotes him calling him a 'Pythagorean'. [History of Mathematics]” quote by C. Smoryński](https://sms4smile.com/quotes/i/68c/c-smory-ski-225321_euclid_kepler-followed-proclus-and-believed-tha_2944745.jpg)
![“As to writing another book on geometry [to replace Euclid] the middle ages would have as soon thought of composing another New Testament.” quote by Augustus De Morgan](https://sms4smile.com/quotes/i/ed4/augustus-de-morgan-18916_age_as-to-writing-another-book-on-geometry-t_584350.png)