35 Quotes About Geometry

A geometric shape is a special type of a polygon. There are a few types of geometric shapes, including circles, triangles, squares, and pentagons. A circle is a round arc that goes all the way around a point or center. The word “circle” comes from the Greek word for “ring,” as it looks like the part of something that wraps around itself Read more

Triangles are three-sided shapes with three angles. Squares are four-sided shapes with four angles. Pentagons are five-sided shapes with five angles.

Our civil rights have no dependence on our religious opinions...
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Our civil rights have no dependence on our religious opinions any more than our opinions in physics or geometry... Thomas Jefferson
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Philosophy [nature] is written in that great book which ever is before our eyes -- I mean the universe -- but we cannot understand it if we do not first learn the language and grasp the symbols in which it is written. The book is written in mathematical language, and the symbols are triangles, circles and other geometrical figures, without whose help it is impossible to comprehend a single word of it; without which one wanders in vain through a dark labyrinth. Galileo Galilei
A straight line is said to have been cut in...
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A straight line is said to have been cut in extreme and mean ratio when, as the whole line is to the greater segment, so is the greater to the lesser. Euclid
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Sacred knowledge of the cosmos seems to be hidden within our souls and is shown within our artwork and creative expressions. Nikki Shiva
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They say the silence is the language of God, but so is music. This is why we dance, we become loud in our silence. Aleksandra Ninkovic
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The Greeks made Space the subject-matter of a science of supreme simplicity and certainty. Out of it grew, in the mind of classical antiquity, the idea of pure science. Geometry became one of the most powerful expressions of that sovereignty of the intellect that inspired the thought of those times. At a later epoch, when the intellectual despotism of the Church, which had been maintained through the Middle Ages, had crumbled, and a wave of scepticism threatened to sweep away all that had seemed most fixed, those who believed in Truth clung to Geometry as to a rock, and it was the highest ideal of every scientist to carry on his science 'more geometrico. . Hermann Weyl
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Maths is at only one remove from magic. Neel Burton
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In geometry, whenever we had to find the area of a circle, pi * radius squared, I would get really hungry for pie. Square pie. Dan Florence
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The analytical geometry of Descartes and the calculus of Newton and Leibniz have expanded into the marvelous mathematical method–more daring than anything that the history of philosophy records–of Lobachevsky and Riemann, Gauss and Sylvester. Indeed, mathematics, the indispensable tool of the sciences, defying the senses to follow its splendid flights, is demonstrating today, as it never has been demonstrated before, the supremacy of the pure reason. Nicholas Murray Butler
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As for methods I have sought to give them all the rigour that one requires in geometry, so as never to have recourse to the reasons drawn from the generality of algebra. AugustinLouis Cauchy
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The full impact of the Lobachevskian method of challenging axioms has probably yet to be felt. It is no exaggeration to call Lobachevsky the Copernicus of Geometry [as did Clifford], for geometry is only a part of the vaster domain which he renovated; it might even be just to designate him as a Copernicus of all thought. Eric Temple Bell
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I would say, if you like, that the party is like an out-moded mathematics...that is to say, the mathematics of Euclid. We need to invent a non- Euclidian mathematics with respect to political discipline. Alain Badiou
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You don’t see something until you have the right metaphor to let you perceive it James Gleick
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Of all the possible pathways of disorder, nature favors just a few. James Gleick
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Billions of years ago there were just blobs of protoplasm; now billions of years later here we are. So information has been created and stored in our structure. In the development of one person’s mind from childhood, information is clearly not just accumulated but also generated–created from connections that were not there before James Gleick
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The brain does not own any direct copies of stuff in the world. There is no library of forms and ideas against which to compare the images of perception. Information is stored in a plastic way, allowing fantastic juxtapositions and leaps of imagination. Some chaos exists out there, and the brain seems to have more flexibility than classical physics in finding the order in it. James Gleick
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Simple shapes are inhuman. They fail to resonate with the way nature organizes itself or with the way human perception sees the world. James Gleick
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It struck me as an operational way to define free will, in a way that allowed you to reconcile free will with determinism. The system is deterministic, but you can’t say what it’s going to do next. James Gleick
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In a way, art is a theory about the way the world looks to human beings. It’s abundantly obvious that one doesn’t know the world around us in detail James Gleick
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Is it possible that mathematical pathology, i.e. chaos, is health? And that mathematical health, which is the predictability and differentiability of this kind of a structure, is disease? Arnold Mandel
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The only things that can ever be universal, in a sense, are scaling things. James Gleick
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The pattern appears so ethereally, that it is hard to remember that the shape is an attractor. It is not just any trajectory of a dynamical system. It is the trajectory toward which all other trajectories converge. James Gleick
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The early sense of self-similarity as an organizing principle came from the limitations on the human experience of scale. James Gleick
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The boundary is where points are slowest to escape the pull of the set. It is as if they are balanced between competing attractors, one at zero and the other, in effect, ringing the set at a distance of infinity. James Gleick
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IN THE MIND’S EYE, a fractal is a way of seeing infinity. James Gleick
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One simple but powerful consequence of the fractal geometry of surfaces is that surfaces in contact do not touch everywhere. The bumpiness at all scales prevents that. Even in rock under enormous pressure, at some sufficiently small scale it becomes clear that gaps remain, allowing fluid to flow. James Gleick
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The fractal structure nature has devised works so efficiently that, in most tissue, no cell is ever more than three or four cells away from a blood vessel. Yet the vessels and blood take up little space, no more than about five percent of the body. James Gleick
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The pits and tangles are more than blemishes distorting the classic shapes of Euclidian geometry. They are often the keys to the essence of a thing James Gleick
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Self-similarity is symmetry across scale. It implies recursion, pattern inside of pattern. James Gleick
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In Euclid's Elements we meet the concept which later plays a significant role in the development of science. The concept is called the "division of a line in extreme and mean ratio" (DEMR)..the concept occurs in two forms. The first is formulated in Proposition 11 of Book II..why did Euclid introduce different forms.. which we can find in Books II, VI and XIII? ..Only three types of regular polygons can be faces of the Platonic solids: the equilateral triangle.. the square.. and the regular pentagon. In order to construct the Platonic solids.. we must build the two-dimensional faces.. It is for this purpose that Euclid introduced the golden ratio.. (Proposition II.11).. By using the "golden" isosceles triangle..we can construct the regular pentagon.. Then only one step remains to construct the dodecahedron.. which for Plato is one of the most important regular polyhedra symbolizing the universal harmony in his cosmology. . Alexey Stakhov
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[The golden proportion] is a scale of proportions which makes the bad difficult [to produce] and the good easy. Albert Einstein
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The Golden Ratio defines the squaring of a circle. Stated in mathematical terms, this says: Given a square of known perimeter, create a circle of equal circumference. According to some, in ancient Egypt, this mathematical mystery was encoded in the measurements of the Great Pyramid of Giza. Marja De Vries
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By degrees, the bitterness at my heart diffused itself to the circumference of the circle in which my life went its cheerless mechanical round. Edward BulwerLytton
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Everything one invents is true, you may be perfectly sure of that. Poetry is as precise as geometry. Gustave Flaubert