Geometry Quote by Arthur Cayley

“Not that the propositions of geometry are only approximately true, but that they remain absolutely true in regard to that Euclidean space which has been so long regarded as being the physical space of our experience.” quote by Arthur Cayley — Download Open image

“Not that the propositions of geometry are only approximately true, but that they remain absolutely true in regard to that Euclidean space which has been so long regarded as being the physical space of our experience.”

Arthur Cayley

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

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

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But be that as it may, I think it is more respectful to you that I should speak to you upon and do my…

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Projective geometry is all geometry.

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So much the worse, it may be, for a particular meeting: but the meeting is the individual, which on evolution principles, must be sacrificed…

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As for everything else, so for a mathematical theory: beauty can be perceived but not explained.

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And in another point of view, I think it is right that the address of a president should be on his own subject, and…

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Explore all 8 Arthur Cayley quotes

More Geometry quotes

Geometry, which should only obey Physics, when united with it sometimes commands it. If it happens that the question which we wish to examine is too complicated for all the elements to be able to enter into the analytical comparison we wish to make, we separate the more inconvenient [elements], we substitute others for them, less troublesome but also less…

Jean le Rond d'Alembert

. . . by natural selection our mind has adapted itself to the conditions of the external world. It has adopted the geometry most…

Henri Poincare

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Geometry existed before creation.

Plato

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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

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Geometry is the most complete science.

David Hilbert

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No one fully understands spinors. Their algebra is formally understood but their general significance is mysterious. In some sense they describe the 'square root'…

Michael Atiyah

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Cryptography has generated number theory, algebraic geometry over finite fields, algebra, combinatorics and computers.

Vladimir Arnold

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“This relationship, often called the Golden mean, has been discovered and rediscovered at various times in history as a unique proportion believed to have…

John Pile