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Geometry Quotes

$Life is merely a fracas on an unmapped terrain, and the universe a geometry stricken with epilepsy Picture Quote #1$

There is still a difference between something and nothing, but it is purely geometrical and there is nothing behind the geometry Picture Quote #1

I am coming more and more to the conviction that the necessity of our geometry cannot be demonstrated, at least neither by, nor for, the human intellect... geometry should be ranked, not with arithmetic, which is purely aprioristic, but with mechanics Picture Quote #1

Human knowledge is dark and uncertain; philosophy is dark, astrology is dark, and geometry is dark Picture Quote #1

For each successive class of phenomena, a new calculus or a new geometry, as the case might be, which might prove not wholly inadequate to the subtlety of nature Picture Quote #1

In things to be seen at once, much variety makes confusion, another vice of beauty. In things that are not seen at once, and have no respect one to another, great variety is commendable, provided this variety transgress not the rules of optics and geometry Picture Quote #1

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Frost grows on the window glass, forming whorl patterns of lovely translucent geometry. Breathe on the glass, and you give frost more ammunition. Now it can build castles and cities and whole ice continents with your breath’s vapor. In a few blinks you can almost see the winter fairies moving in... But first, you hear the crackle of their wings Picture Quote #1

God looks not at the oratory of your prayers, how elegant they may be; nor at the geometry of your prayers, how long they may be; nor at the arithmetic of your prayers, how many they may be; not at logic of your prayers, how methodical they may be; but the sincerity of them he looks at Picture Quote #1

Fortunate are the nations that can build wooden houses. Because wood breathes, transforms, deteriorates, like us. It is also important to have flowers and plants where we live, because they breathe, too. Contemplating a flower for three seconds can be a captivating solitary journey back to original geometry, which is always revitalizing Picture Quote #1

I approached the bulk of my schoolwork as a chore rather than an intellectual adventure. The tedium was relieved by a few courses that seem to be qualitatively different. Geometry was the first exciting course I remember. Instead of memorizing facts, we were asked to think in clear, logical steps. Beginning from a few intuitive postulates, far reaching consequences could be derived, and I took immediately to the sport of proving theorems Picture Quote #1

I have no fault to find with those who teach geometry. That science is the only one which has not produced sects; it is founded on analysis and on synthesis and on the calculus; it does not occupy itself with the probable truth; moreover it has the same method in every country Picture Quote #1

For it is the duty of an astronomer to compose the history of the celestial motions or hypotheses about them. Since he cannot in any certain way attain to the true causes, he will adopt whatever suppositions enable the motions to be computed correctly from the principles of geometry for the future as well as for the past Picture Quote #1

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We do not live in a time when knowledge can be extended along a pathway smooth and free from obstacles, as at the time of the discovery of the infinitesimal calculus, and in a measure also when in the development of projective geometry obstacles were suddenly removed which, having hemmed progress for a long time, permitted a stream of investigators to pour in upon virgin soil. There is no longer any browsing along the beaten paths; and into the primeval forest only those may venture who are equipped with the sharpest tools Picture Quote #1

The truth us that other systems of geometry are possible, yet after all, these other systems are not spaces but other methods of space measurements. There is one space only, though we may conceive of many different manifolds, which are contrivances or ideal constructions invented for the purpose of determining space Picture Quote #1

Every writer must reconcile, as best he may, the conflicting claims of consistency and variety, of rigour in detail and elegance in the whole. The present author humbly confesses that, to him, geometry is nothing at all, if not a branch of art Picture Quote #1

A work of morality, politics, criticism will be more elegant, other things being equal, if it is shaped by the hand of geometry Picture Quote #1

I can’t stop biting my nails. It’s a bad habit of mine. I like anything to do with math and numbers. I know a lot of people don’t like geometry, but for me it’s fun Picture Quote #1

The sculptor, and the painter also, should be trained in these liberal arts: grammar, geometry, philosophy, medicine, astronomy, perspective, history, anatomy, theory of design, arithmetic Picture Quote #1

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Geometry enlightens the intellect and sets one’s mind right. All of its proofs are very clear and orderly. It is hardly possible for errors to enter into geometrical reasoning, because it is well arranged and orderly. Thus, the mind that constantly applies itself to geometry is not likely to fall into error. In this convenient way, the person who knows geometry acquires intelligence Picture Quote #1

Architects should be educated, skillful with the pencil, instructed in geometry, know much history, have followed the philosophers with attention, understand music, have some knowledge of medicine, know the opinions of the jurists, and be acquainted with astronomy and the theory of the heavens Picture Quote #1

Life isn’t about algebra and geometry. Learning by making mistakes and not duplicating them is what life is about Picture Quote #1

He who would prove all life, leaves it empty. To know the way of everything is to be left with the geometry of things and with the substance of nothing. To reduce the world to an equation is to leave it without head or feet Picture Quote #1

Time was when all the parts of the subject were dissevered, when algebra, geometry, and arithmetic either lived apart or kept up cold relations of acquaintance confined to occasional calls upon one another; but that is now at an end; they are drawn together and are constantly becoming more and more intimately related and connected by a thousand fresh ties, and we may confidently look forward to a time when they shall form but one body with one soul Picture Quote #1

The purely formal language of geometry describes adequately the reality of space. We might say, in this sense, that geometry is successful magic. I should like to state a converse: is not all magic, to the extent that it is successful, geometry? Picture Quote #1

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A tree nowhere offers a straight line or a regular curve, but who doubts that root, trunk, boughs, and leaves embody geometry? Picture Quote #1

Algebraic geometry seems to have acquired the reputation of being esoteric, exclusive, and very abstract, with adherents who are secretly plotting to take over all the rest of mathematics. In one respect this last point is accurate Picture Quote #1

The power of mathematics is often to change one thing into another, to change geometry into language Picture Quote #1

Geometry is knowledge that appears to be produced by human beings, yet whose meaning is totally independent of them Picture Quote #1

I got good grades in math, but I never really enjoyed it. My favorite part of math was algebra, but geometry was the worst Picture Quote #1

Not only in geometry, but to a still more astonishing degree in physics, has it become more and more evident that as soon as we have succeeded in unraveling fully the natural laws which govern reality, we find them to be expressible by mathematical relations of surprising simplicity and architectonic perfection. It seems to me to be one of the chief objects of mathematical instruction to develop the faculty of perceiving this simplicity and harmony Picture Quote #1

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Life is merely a fracas on an unmapped terrain, and the universe a geometry stricken with epilepsy (Geometry Quotes) There is still a difference between something and nothing, but it is purely geometrical and there is nothing behind the geometry (Geometry Quotes) I am coming more and more to the conviction that the necessity of our geometry cannot be demonstrated, at least neither by, nor for, the human intellect... geometry should be ranked, not with arithmetic, which is purely aprioristic, but with mechanics (Geometry Quotes) Human knowledge is dark and uncertain; philosophy is dark, astrology is dark, and geometry is dark (Geometry Quotes) For each successive class of phenomena, a new calculus or a new geometry, as the case might be, which might prove not wholly inadequate to the subtlety of nature (Geometry Quotes) In things to be seen at once, much variety makes confusion, another vice of beauty. In things that are not seen at once, and have no respect one to another, great variety is commendable, provided this variety transgress not the rules of optics and geometry (Geometry Quotes) Frost grows on the window glass, forming whorl patterns of lovely translucent geometry. Breathe on the glass, and you give frost more ammunition. Now it can build castles and cities and whole ice continents with your breath’s vapor. In a few blinks you can almost see the winter fairies moving in... But first, you hear the crackle of their wings (Geometry Quotes) God looks not at the oratory of your prayers, how elegant they may be; nor at the geometry of your prayers, how long they may be; nor at the arithmetic of your prayers, how many they may be; not at logic of your prayers, how methodical they may be; but the sincerity of them he looks at (Geometry Quotes) Fortunate are the nations that can build wooden houses. Because wood breathes, transforms, deteriorates, like us. It is also important to have flowers and plants where we live, because they breathe, too. Contemplating a flower for three seconds can be a captivating solitary journey back to original geometry, which is always revitalizing (Geometry Quotes) I approached the bulk of my schoolwork as a chore rather than an intellectual adventure. The tedium was relieved by a few courses that seem to be qualitatively different. Geometry was the first exciting course I remember. Instead of memorizing facts, we were asked to think in clear, logical steps. Beginning from a few intuitive postulates, far reaching consequences could be derived, and I took immediately to the sport of proving theorems (Geometry Quotes) I have no fault to find with those who teach geometry. That science is the only one which has not produced sects; it is founded on analysis and on synthesis and on the calculus; it does not occupy itself with the probable truth; moreover it has the same method in every country (Geometry Quotes) For it is the duty of an astronomer to compose the history of the celestial motions or hypotheses about them. Since he cannot in any certain way attain to the true causes, he will adopt whatever suppositions enable the motions to be computed correctly from the principles of geometry for the future as well as for the past (Geometry Quotes) We do not live in a time when knowledge can be extended along a pathway smooth and free from obstacles, as at the time of the discovery of the infinitesimal calculus, and in a measure also when in the development of projective geometry obstacles were suddenly removed which, having hemmed progress for a long time, permitted a stream of investigators to pour in upon virgin soil. There is no longer any browsing along the beaten paths; and into the primeval forest only those may venture who are equipped with the sharpest tools (Geometry Quotes) The truth us that other systems of geometry are possible, yet after all, these other systems are not spaces but other methods of space measurements. There is one space only, though we may conceive of many different manifolds, which are contrivances or ideal constructions invented for the purpose of determining space (Geometry Quotes) Every writer must reconcile, as best he may, the conflicting claims of consistency and variety, of rigour in detail and elegance in the whole. The present author humbly confesses that, to him, geometry is nothing at all, if not a branch of art (Geometry Quotes) A work of morality, politics, criticism will be more elegant, other things being equal, if it is shaped by the hand of geometry (Geometry Quotes) I can’t stop biting my nails. It’s a bad habit of mine. I like anything to do with math and numbers. I know a lot of people don’t like geometry, but for me it’s fun (Geometry Quotes) The sculptor, and the painter also, should be trained in these liberal arts: grammar, geometry, philosophy, medicine, astronomy, perspective, history, anatomy, theory of design, arithmetic (Geometry Quotes) Geometry enlightens the intellect and sets one’s mind right. All of its proofs are very clear and orderly. It is hardly possible for errors to enter into geometrical reasoning, because it is well arranged and orderly. Thus, the mind that constantly applies itself to geometry is not likely to fall into error. In this convenient way, the person who knows geometry acquires intelligence (Geometry Quotes) Architects should be educated, skillful with the pencil, instructed in geometry, know much history, have followed the philosophers with attention, understand music, have some knowledge of medicine, know the opinions of the jurists, and be acquainted with astronomy and the theory of the heavens (Geometry Quotes) Life isn’t about algebra and geometry. Learning by making mistakes and not duplicating them is what life is about (Geometry Quotes) He who would prove all life, leaves it empty. To know the way of everything is to be left with the geometry of things and with the substance of nothing. To reduce the world to an equation is to leave it without head or feet (Geometry Quotes) Time was when all the parts of the subject were dissevered, when algebra, geometry, and arithmetic either lived apart or kept up cold relations of acquaintance confined to occasional calls upon one another; but that is now at an end; they are drawn together and are constantly becoming more and more intimately related and connected by a thousand fresh ties, and we may confidently look forward to a time when they shall form but one body with one soul (Geometry Quotes) The purely formal language of geometry describes adequately the reality of space. We might say, in this sense, that geometry is successful magic. I should like to state a converse: is not all magic, to the extent that it is successful, geometry? (Geometry Quotes) A tree nowhere offers a straight line or a regular curve, but who doubts that root, trunk, boughs, and leaves embody geometry? (Geometry Quotes) Algebraic geometry seems to have acquired the reputation of being esoteric, exclusive, and very abstract, with adherents who are secretly plotting to take over all the rest of mathematics. In one respect this last point is accurate (Geometry Quotes) The power of mathematics is often to change one thing into another, to change geometry into language (Geometry Quotes) Geometry is knowledge that appears to be produced by human beings, yet whose meaning is totally independent of them (Geometry Quotes) I got good grades in math, but I never really enjoyed it. My favorite part of math was algebra, but geometry was the worst (Geometry Quotes) Not only in geometry, but to a still more astonishing degree in physics, has it become more and more evident that as soon as we have succeeded in unraveling fully the natural laws which govern reality, we find them to be expressible by mathematical relations of surprising simplicity and architectonic perfection. It seems to me to be one of the chief objects of mathematical instruction to develop the faculty of perceiving this simplicity and harmony (Geometry Quotes)

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