The sacred writings excepted, no Greek has been so much read and so variously translated as Euclid. — Augustus De Morgan 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
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
Euclid taught me that without assumptions there is no proof. Therefore, in any argument, examine the assumptions. — Anonymous Copy Share Image
I have in later years taken to Euclid, Whitehead, Bertrand Russell, in an elemental way. — Carl Sandburg Copy Share Image
From Euclid to Newton there were straight lines. The modern age analyzes the wavers. — Saul Bellow 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
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
“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
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
“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
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
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
“Such is the arithmetic of adventure, in which two and two no more make only four than that Euclid rules in the… — William Bolitho Copy Share Image
Detest it as lewd intercourse, it can deprive you of all your leisure, your health, your rest, and the whole happiness of… — Farkas Bolyai Copy Share Image
It is curious to observe the triumph of slight incidents over the mind; and what incredible weight they have in forming and… — Laurence Sterne Copy Share Image
They [the mathematicians of the Enlightenment] defined their terms vaguely and used their methods loosely, and the logic of their arguments was… — Tobias Dantzig Copy Share Image
Mathematics has two faces: it is the rigorous science of Euclid, but it is also something else. Mathematics presented in the Euclidean… — George Polya 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
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
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
“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
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
“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
“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
“Is it possible that the Pentateuch could not have been written by uninspired men? that the assistance of God was necessary to… — Robert G. Ingersoll Copy Share Image
“... I left Caen, where I was living, to go on a geological excursion under the auspices of the School of Mines.… — Henri Poincaré Copy Share Image
About Thomas Hobbes: He was 40 years old before he looked on geometry; which happened accidentally. Being in a gentleman's library, Euclid's… — John Aubrey 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
“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
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
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
Euclid 's manner of exposition, progressing relentlessly from the data to the unknown and from the hypothesis to the conclusion, is perfect… — George Polya Copy Share Image
Reductio ad absurdum, which Euclid loved so much, is one of a mathematician's finest weapons. It is a far finer gambit than… — Anonymous 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 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/q/img-quotes/66c/lucio-russo-43521_analysis_euclid-manages-to-obtain-a-rigorous-proo_2943863.jpg)
![“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/q/img-quotes/68c/c-smory-ski-225321_euclid_kepler-followed-proclus-and-believed-tha_2944745.jpg)
![“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/q/img-quotes/5dc/arthur-cayley-48537_euclid_euclid-avoids-it-the-treatment-of-the-in_1635536.png)
![“They [the mathematicians of the Enlightenment] defined their terms vaguely and used their methods loosely, and the logic of their arguments was made to fit the dictates of their intuition. In short, they broke all the laws of rigor and of mathematical decorum. The veritable orgy which followed the…” quote by Tobias Dantzig](https://sms4smile.com/q/img-quotes/34e/tobias-dantzig-42181_argument_they-the-mathematicians-of-the-enlighten_1505184.jpg)
![“About Thomas Hobbes: He was 40 years old before he looked on geometry; which happened accidentally. Being in a gentleman's library, Euclid's Elements lay open, and "twas the 47 El. libri I" [Pythagoras' Theorem]. He read the proposition "By God", sayd he, "this is impossible:" So he reads the…” quote by John Aubrey](https://sms4smile.com/q/img-quotes/d43/john-aubrey-29611_convinced_about-thomas-hobbes-he-was-40-years-old_1668279.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/q/img-quotes/ed4/augustus-de-morgan-18916_age_as-to-writing-another-book-on-geometry-t_584350.png)