Geometric Constructions Quotes

Through algebra you easily arrive at equations, but always to pass therefrom to the elegant constructions and demonstrations which usually result by means of the method of porisms is not so easy, nor is one's ingenuity and power of invention so greatly exercised and refined in this analysis.

There is no royal road to geometry.

The science [geometry] is pursued for the sake of the knowledge of what eternally exists, and not of what comes for a moment into existence, and then perishes.

I love the simplicity of the Cube because it's a very clear geometrical shape, and I love geometry because it's the study of how the whole universe is structured.

[A mathematician is a] scientist who can figure out anything except such simple things as squaring the circle and trisecting an angle.

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

The description of right lines and circles, upon which geometry is founded, belongs to mechanics. Geometry does not teach us to draw these lines, but requires them to be drawn.

Meton (astronomer in 5th century BC): With the straight ruler I set to work To make the circle four-cornered .

Geometry, like arithmetic, requires for its logical development only a small number of simple, fundamental principles. These fundamental principles are called the axioms of geometry.

Geometry will draw the soul toward truth and create the spirit of philosophy.

Geometry draws the soul towards truth.

The early study of Euclid made me a hater of geometry.