Quotes About Geometry

Our civil rights have no dependence upon our religious opinions more than our opinions in physics or geometry.

The Golden Rectangle is the only rectangle with the property that cutting a square from it produces a similar rectangle.

The Golden Ratio has the unique properties that we produce its square by simply adding the number 1 and its reciprocal by subtracting the number 1.

extremely difficult for the average person to visualize a space of more than three dimensions, since that is the only spatial geometry with which we have had any personal experience.

There is still a difference between something and nothing, but it is purely geometrical and there is nothing behind the geometry.

Our universe, extending immensely far beyond our present horizon, may itself be just one member of a possibly infinite ensemble. This 'multiverse' concept, though speculative, is a natural extension of current cosmological theories, which gain credence because they account for things that we do observe. The physical laws and geometry could be different in other universes, and this offers a new perspective on the seemingly special values that the six numbers take in ours.

People joke, in our field, about Pythagoras and his religious cult based on perfect geometry and other abstract mathematical forms, but if we are going to have religion at all then a religion of mathematics seems ideal, because if God exists then what is He but a mathematician?

In our very present, we discover a layer of spiritual being, i.e., of historical being, delimiting a 'space of humanity,' and geometry is offered as belonging to it, I.e., geometry is offered as connected to a past in general, to men who as such are not known by us. But this nonknowledge is a knowledge. The essence of tradition lies in being not immediately graspable in a static essence. In front of our reflection, geometry and its tradition become a hollow; they open a dimension.

Mybike handling qualities include on-a-rail tracking, almost as if the headset were too tight, and a high-strung, joyous agility. Frame geometry and construction integrity combine with the rider's caffeine consumption level to produce serendipitously disparate handling characteristics.

Numbness would, it turned out. She found that through real concentration she could close out certain thoughts and focus only on the practical things. Parting her hair before the bathroom mirror, all she thought about was evenness, getting it just right. In geometry class she held her compass and swiveled it carefully over the page. A perfect arc formed, a useless bridge

These three tools of light, energy, and mass by which the Divine geometer constructs the cosmos and by which the symbolic geometer approximates archetypal patterns are also mirrored in us. What scientists call "light, energy, and mass" are the traditional "spirit, soul, and body" described by Plutarch as nous (divine intellect), psyche (soul), and soma (body).

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. —Johannes Kepler

Our role as geometers is to discover the inherent proportion, balance, and harmony that exist in any situation.

Theoretically, there is no end to the trail of squares cut out of a continually resurrecting golden rectangle, seducing the squares forever onward.

Long before Einstein phrased E=mc2, ancient geometers represented the trinity of light, energy, and mass by their three tools: the compass with its unsleeping eye or sun above and its legs as rays of wisdom and beauty shining into our lives, the straightedge that directs energy patterns of tension and movement, and the pencil and paper that make the patterns visible.

He discovered its self-accumulating, self-reproducing nature and gave the spiral a motto (perhaps the only one associated with a geometric shape): Eadem mutato resurgo—Although changed, I arise again the same.

I forget if it was the Mathematician of Alexandria who said that geometry is beauty laid bare or the Father of Relativity who made the claim for physics," Darger said. "She is, in either case, ravishing.

By the sixth century B.C. Pythagoras and his students had embarked on the immense ordering task that attempted to find common numerical laws binding together astronomy, geometry, music, and arithmetic. Not surprisingly, their work was difficult to distinguish from religion, since it tried to accomplish similar goals: to find a way of expressing the structure of the universe. Two thousand years later, Kepler and then Newton were still on the same quest. Theoretical

Geometry . . . is the science that it hath pleased God hitherto to bestow on mankind. —THOMAS HOBBES

predecessor of Isaac Newton at Cambridge University, maintained that irrational numbers have no meaning independent of geometric lengths.

geometrical forms, such as triangles and circles, and the concepts of arithmetic, such as whole numbers and fractions, are abstractions of certain properties of physical objects.

The number ?, which is the ratio of the circumference of any circle to its diameter, is irrational, though this fact was not proved until 1768. Many other examples could be given.

At about the same time that St. Augustine lived, the Roman jurists ruled, under the Code of Mathematicians and Evil-Doers, that "to learn the art of geometry and to take part in public exercises, an art as damnable as mathematics, are forbidden.

They asked for Plato's assistance. He told them: "You hated wisdom and ran away from geometry, therefore God has afflicted you a punishment, for wisdom and philosophical knowledge have a high rank with God." ... The plague was lifted and they ceased to defame the branches of theoretical knowledge.