“Geometry has two great treasures: one is the Theorem of Pythagoras; the other, the division of a line into extreme and mean ratio. The first we may compare to a measure of gold; the second we may name a precious jewel.

–Luca Pacioli

“Like God, the Divine Proportion is always similar to itself.”

–Fra Luca Pacioli

“The good, of course, is always beautiful, and the beautiful never lacks proportion.”

–Plato

“Measure what is measurable, and make measurable what is not so.”

–Galilei, Galileo (1564 – 1642), Quoted in H. Weyl “Mathematics and the Laws of Nature” in I Gordon and S. Sorkin (eds.) The Armchair Science Reader, New York: Simon and Schuster, 1959.

“[The universe] cannot be read until we have learnt the language and become familiar with the characters in which it is written. It is written in mathematical language, and the letters are triangles, circles and other geometrical figures, without which means it is humanly impossible to comprehend a single word.”

–Galilei, Galileo (1564 – 1642), Opere Il Saggiatore p. 171.

“The human mind has first to construct forms, independently, before we can find them in things.”

–Einstein, Albert (1879-1955)

“Where there is matter, there is geometry.”–Kepler, Johannes (1571-1630), (Ubi materia, ibi geometria.) J. Koenderink Solid Shape, Cambridge Mass.: MIT Press, 1990

“Mathematics seems to endow one with something like a new sense.”

–Darwin, Charles, In N. Rose (ed.) Mathematical Maxims and Minims, Raleigh NC: Rome Press Inc., 1988.

–Johannes Kepler

**“Without mathematics there is no art.”**–Luca Pacioli

“Like God, the Divine Proportion is always similar to itself.”

–Fra Luca Pacioli

“The good, of course, is always beautiful, and the beautiful never lacks proportion.”

–Plato

“Measure what is measurable, and make measurable what is not so.”

–Galilei, Galileo (1564 – 1642), Quoted in H. Weyl “Mathematics and the Laws of Nature” in I Gordon and S. Sorkin (eds.) The Armchair Science Reader, New York: Simon and Schuster, 1959.

“[The universe] cannot be read until we have learnt the language and become familiar with the characters in which it is written. It is written in mathematical language, and the letters are triangles, circles and other geometrical figures, without which means it is humanly impossible to comprehend a single word.”

–Galilei, Galileo (1564 – 1642), Opere Il Saggiatore p. 171.

“The human mind has first to construct forms, independently, before we can find them in things.”

–Einstein, Albert (1879-1955)

“Where there is matter, there is geometry.”–Kepler, Johannes (1571-1630), (Ubi materia, ibi geometria.) J. Koenderink Solid Shape, Cambridge Mass.: MIT Press, 1990

“Mathematics seems to endow one with something like a new sense.”

–Darwin, Charles, In N. Rose (ed.) Mathematical Maxims and Minims, Raleigh NC: Rome Press Inc., 1988.