Top 45 Euclid's Quotes
#1. 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
#2. If Euclid's point, though incapable of being drawn by any human agency, has an imperishable value, my picture has its own for mankind to live.
Mahatma Gandhi
#3. The primes are the raw material out of which we have to build arithmetic, and Euclid's theorem assures us that we have plenty of material for the task.
G.H. Hardy
#4. 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 one obvious fact in terms of something equally .. obvious.
Oliver Heaviside
#5. A line is length without breadth.
Euclid
#6. I have in later years taken to Euclid, Whitehead, Bertrand Russell, in an elemental way.
Carl Sandburg
#7. When a king asked Euclid, the mathematician, whether he could not explain his art to him in a more compendious manner? he was answered, that there was no royal way to geometry.
Samuel Johnson
#8. My whole image is a short step to the right of bondage porn. It's like I was begging you to do this to me before we even met, isn't it? Like I was just waiting for someone to belong to. I'm everything you think I am. I want everything you think I do. Explore me.
Thursday Euclid
#10. 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
#11. Euclid avoids it [the treatment of the infinite]; in modern mathematics it is systematically introduced, for only then is generality obtained.
Arthur Cayley
#12. His hair, from much running of fingers
through it, radiates in all directions and surrounds his head
like a halo of glory, or like the second Corollary of Euclid
I. 32.
Lewis Carroll
#13. Euclid discovered that perfect numbers are always the multiple of two numbers, one of which is a power of 2 and the other being the next power of 2 minus 1.
Simon Singh
#15. We think of Euclid as of fine ice; we admire Newton as we admire the peak of Teneriffe. Even the intensest labors, the most remote triumphs of the abstract intellect, seem to carry us into a region different from our own-to be in a terra incognita of pure reasoning, to cast a chill on human glory.
Walter Bagehot
#16. 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
#17. After the death of Archimedes in 212 BCE, the topic of motion was effectively abandoned; it did not resurface for another 1,400 years, when Gerard of Brussels revived the mathematical works of Euclid and Archimedes and came very close to defining speed as a ratio of distance to time.
Joseph Mazur
#18. 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 invent a non-Euclidian mathematics with respect to political discipline.
Alain Badiou
#19. The sacred writings excepted, no Greek has been so much read and so variously translated as Euclid.
Augustus De Morgan
#20. There is no Royal Road to Geometry.
Euclid
#21. 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.
Lucio Russo
#23. A prime number is one (which is) measured by a unit alone.
Euclid
#24. Reductio ad absurdum, which Euclid loved so much, is one of a mathematician's finest weapons. It is a far finer gambit than any chess play: a chess player may offer the sacrifice of a pawn or even a piece, but a mathematician offers the game.
G.H. Hardy
#25. I suppose I thought your mind would be full of dresses and dances."
"Well, it's not. It's full of Socrates and Euclid.
Leila Rasheed
#26. Give him threepence, since he must make a gain out of what he learns.
Euclid
#27. Sire, there is no royal road to geometry.
Euclid
#28. The study of Euclid put him into a compassionate and tranquil frame of mind, and illuminated, among other things, that his thinking and feeling had recently been crippled by confusion and despair.
John Cheever
#29. I was interviewed on the Israeli radio for five minutes and I said that more than 2000 years ago, Euclid proved that there are infinitely many primes. Immediately the host interrupted me and asked, 'Are there still infinitely many primes?'
Noga Alon
#30. The laws of nature are but the mathematical thoughts of God.
Euclid
#31. 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
#32. A triangle with four points is what Euclid rides into hell.
Steve Martin
#33. What has been affirmed without proof can also be denied without proof."-
Euclid
#34. From Euclid to Newton there were straight lines. The modern age analyzes the wavers.
Saul Bellow
#35. 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
#36. Things which are equal to the same thing are also equal to one another.
Euclid
#37. Euclid taught me that without assumptions there is no proof. Therefore, in any argument, examine the assumptions.
E. T. Bell
#38. I have given up newspapers in exchange for Tacitus and Thucydides, for Newton and Euclid; and I find myself much the happier.
Thomas Jefferson
#39. Euclid, who was still, when I was young, the sole acknowledged text-book of geometry for boys, lived in Alexandria, about 300 B.C., a few years after the death of Alexander and Aristotle.
Anonymous
#40. ... if geometry were as much opposed to our passions and present interests as is ethics, we should contest it and violate I but little less, notwithstanding all the demonstrations of Euclid and Archimedes ...
Gottfried Wilhelm Leibniz
#41. He thought that when he had healed sufficiently, and withdrawn from the capital, he might write the magus a letter and open a correspondence on Euclid, or Thales, or the new idea from the north, that the sun and not the Earth might be the centre of the universe.
Megan Whalen Turner
#42. Better balance, less pain and less restless leg syndrome.
Euclid
#43. The cowboys have a way of trussing up a steer or a pugnacious bronco which fixes the brute so that it can neither move nor think. This is the hog-tie, and it is what Euclid did to geometry.
Eric Bell
#44. And the whole is greater than the part.
Euclid
#45. His conclusions were as infallible as so many propositions of Euclid. So startling would his results appear to the uninitiated that until they learned the processes by which he had arrived at them they might well consider him as a necromancer.
Arthur Conan Doyle
