A Quote by Euclid

There is no royal road to geometry.

Euclid

Quote Topics

Geometry Road Royal

Quote Author

Euclid
Greek - Scientist
365 BC - 275 BC

Sire, there is no royal road to geometry.

Euclid

The only royal road to elementary geometry is ingenuity.

Eric Temple Bell

There is no royal road to any learning, no matter what it is. There is no royal road to any righteous living, no matter who you are or what you are. There is no royal road to anything that is worthwhile. Nothing that is deserving of earning or of cherishing comes except through hard work. I care not how much of a genius you may be, the rule will still hold.

J. Reuben Clark

There is no royal road to a successful life, as there is no royal road to learning. It has got to be hard knocks, morning, noon, and night, and fixity of purpose.

Charles M. Schwab

Projective geometry has opened up for us with the greatest facility new territories in our science, and has rightly been called the royal road to our particular field of knowledge.

Felix Klein

Descartes constructed as noble a road of science, from the point at which he found geometry to that to which he carried it, as Newton himself did after him. ... He carried this spirit of geometry and invention into optics, which under him became a completely new art.

Voltaire

The concept of congruence in Euclidean geometry is not exactly the same as that in non-Euclidean geometry. ..."Congruent" means in Euclidean geometry the same as "determining parallelism," a meaning which it does not have in non-Euclidean geometry.

Hans Reichenbach

Analytical geometry has never existed. There are only people who do linear geometry badly, by taking coordinates, and they call this analytical geometry. Out with them!

Jean Dieudonne

Metrical geometry is thus a part of descriptive geometry, and descriptive geometry is all geometry.

Arthur Cayley

The purely formal language of geometry describes adequately the reality of space. We might say, in this sense, that geometry is successful magic. I should like to state a converse: is not all magic, to the extent that it is successful, geometry?