Geometry quotes

Let no-one enter who does not know his geometry.

-Anonymous
Inscription at the entrance of Plato's  Academy. Reported by commentators on  Aristotle (Elias In  Aristotelis categorias commentarium,18,118,18).

La ge  ome  trie est aux arts plastiques ce que la grammaire est a'   l'art de l'e  crivain. Geometry is to sculpture what grammar is to the art of the writer.

-Kostrowitzki
  Les Peintres cubistes; Me  ditations esthe  tiques,'Sur la peinture, 3'.

   There is no'royal road'to geometry.

-Euclid   4c
c.300  BC  Response to Ptolemy I, when asked if there were an easier way to solve theorems. Quotedin Proclus Commentary on the First Book of Euclid's Elementa, prologue.

In Geometry (which is the only science that it hath pleased God hithertotobestowonmankind) men begin at settling the significations of their words; which†they call Definitions.

-Thomas Hobbes
Leviathan, pt.1, ch.4.

Night Geometryand the GarscaddenTrains.

- A(lison) L(ouise) Kennedy
   Title of short story collection.

But even Archimedes was not free from the prevailing notion that geometry was degraded by being employed to produce anything useful. It was with difficulty that he was induced to stoop from speculation to practice. He was half ashamed of those inventions which were the wonder of hostile nations, and always spoke of them slightingly as mere amusements, as trifles in which a mathematician might be suffered to relax his mind after intense application to the higher parts of his science.

-1st Baron
  'Basil Montagu's edition of  The Works of Francis Bacon, Lord Chancellor of England ', in the Edinburgh Review,  Jul.

Geometry is that part of universal mechanics which accurately proposes and demonstrates the art of measuring.

- Sir Isaac Newton
  Philosophiae Naturalis Principia Mathematica (translated by Andrew Motte,1729).

One geometry can not be more true than another; it can only be more convenient.Geometry is not true, it is advantageous.

- Robert M(aynard) Pirsig
  Zen and theArt of Motorcycle Maintenance, pt.3, ch.22.

There isgeometry inthehumming of thestrings.There is music in the spacings of the spheres.

-Pythagoras   6c
Quoted in Aristotle Metaphysics.