Euclid

Mathematics Greek -325 – -265 439 quotes

Father of geometry, wrote Elements

Quotes by Euclid

The area of a triangle is half the product of its base and height.

Elements (Book I, Proposition 41) -300

In a circle, the longest chord is the diameter.

Elements (Book III, Proposition 14) -300

The distance from the center of a circle to a chord is less when the chord is longer.

Elements (Book III, Proposition 15) -300

To circumscribe a circle about a given triangle.

Elements (Book IV, Proposition 5) -300

To inscribe a circle in a given triangle.

Elements (Book IV, Proposition 4) -300

A regular polygon can be constructed with ruler and compass if the number of sides is a product of a power of 2 and distinct Fermat primes.

Elements (Book IV) -300

The pentagon is constructible, revealing the golden ratio.

Elements (Book IV, Proposition 11) -300

The golden ratio is (1 + sqrt(5))/2, appearing in the pentagon.

Elements (Book XIII, Proposition 8) -300

The five regular platonic solids can be inscribed in a sphere.

Elements (Book XIII) -300

The tetrahedron, cube, octahedron, dodecahedron, and icosahedron are the only regular polyhedra.

Elements (Book XIII) -300

To construct a cube and inscribe it in a sphere.

Elements (Book XIII, Proposition 13) -300

The icosahedron has twenty triangular faces.

Elements (Book XIII, Proposition 17) -300

The dodecahedron is the fifth essence.

Elements (Book XIII, Proposition 18) -300

Geometry is the knowledge of the eternal.

Attributed

Through study of the Elements, one achieves clarity of thought.

Attributed

The pursuit of mathematical truth is a noble endeavor.

Attributed

In Euclid's world, everything has its place and proof.

Attributed

The Elements stand as a testament to human reason.

Attributed

Mathematics requires patience and precision.

Attributed

The joy of discovery in geometry is unparalleled.

Attributed