Quotes about curve (252 quotes, page 2)

“They rode armed for war, curved swords at their side and the thick horn-and-sinew bows of mounted archers in cases at their knees.”

S.M. Stirling (1953) Canadian-American author, primarily of speculative fiction

The Scourge of God https://en.wikipedia.org/wiki/The_Scourge_of_God_(novel)

War

“It is not the right angle that attracts me, nor the straight line, hard and inflexible, created by man. What attracts me is the free and sensual curve — the curve that I find in the mountains of my country, in the sinuous course of its rivers, in the body of the beloved woman.”

Oscar Niemeyer (1907–2012) Brazilian architect

As quoted in Plans, Sections and Elevations : Key Buildings of the Twentieth Century (2004) by Richard Weston
Variant translations:
It is not the right angle that attracts me,
Nor the hard, inflexible straight line, man-made.
What attracts me are free and sensual curves.
The curves in my country’s mountains,
In the sinuous flow of its rivers,
In the beloved woman’s body.
As quoted in "Architect of Optimism" http://www.ft.com/cms/s/0/db740a7a-e897-11db-b2c3-000b5df10621.html?nclick_check=1, Angel Gurria-Quintana, Financial Times (2007-04-13)
It is not the right angle that attracts me.
nor the straight line, tough, inflexible,
created by man.
what attracts me is the free, sensual curve.
the curve I find in the mountains of my country,
in the sinuous course of its rivers,
in the waves of the sea,
in the clouds of the sky,
in the body of the favourite woman.
Of curves is made all the universe.
As quoted on a Photo page on the Museum of Contemporary Art over Baia da Guanabara http://app.tabblo.com/studio/stories/view/122423/?nextnav=favs&navuser=1

Mountain , Country

“He had gone to several universities... and had found only curves and credits. He had become drunk on the idea of God and found only theology. He had risen several times on the subtle and powerful wings of lust, expectant of magnificence, achieving only discharge. A few times he had extended friendship with palpitating hope, only to find that no one quite knew what he had in mind. His solitude now was the result of his metabolism, that constant breathing in of joy and exhalation of sadness.”

Edward Lewis Wallant book The Tenants of Moonbloom

The Tenants of Moonbloom (1962)

God , Friendship , Sadness , Hope

“[The theory of the firm] is exactly analogous to the analysis of the reactions of a consumer by means of indifferent curves. Indeed, a consumer is merely a ‘firm’ whose product is ‘utility’.”

Kenneth E. Boulding (1910–1993) British-American economist

Source: 1940s, The theory of the firm in the last ten Years, 1942, p. 799

Indifference

“So long as you refuse to ever acknowledge failure, success becomes eternal, a downward curve, always approaching failure, but never quite reaching it.”

John Hodgman book The Areas of My Expertise

September 11, 2007
The Areas of My Expertise (2005), Appearances on The Daily Show with Jon Stewart

Failure , Success

“It is a curve each of them feels, unmistakably. It is the parabola. They must have guessed, once or twice — guessed and refused to believe — that everything, always, collectively, had been moving toward that purified shape latent in the sky, that shape of no surprise, no second chance, no return. Yet they do move forever under it, reserved for its own black-and-white bad news certainly as if it were the rainbow, and they its children….”

Thomas Pynchon book Gravity's Rainbow

Gravity's Rainbow (1973)

Children , Feeling , Chance

“The size of a firm influences its competitive policies in a number of ways. In the first place the scale of its purchases and sales relative to the total volume of transactions in the firm's market is one indication of the extent of its market control. Taken in conjunction with other data it may throw a good deal of light on price and production policies. Certain authorities, on the other hand, brush aside figures on the relative size of firms as irrelevant and emphasize the decisive importance of the elasticity of the firm's demand curve. 3 It would no doubt be extremely convenient if economists knew the shape of individual demand and cost curves and could proceed forthwith, by comparisons of price and marginal cost, to conclusions regarding the existing degree of monopoly power. The extent to which the monopoly theorists, however, refrain from an empirical application of their formulae is rather striking.”

Edward S. Mason (1899–1992) American economist

Source: "Price and production policies of large-scale enterprise," 1939, p. 62

Way , Decision , Light

“Dots are just one example of an element in Lascaux art, and in all cave art… This is a profusion of nonrepresentational, geometric patterns. In addition to dots, there are grids and chevrons, curves and zigzags, and more. …The coincidence of these geometric motifs with representational images is one of the most puzzling aspects of Upper Paleolithic art. …images, six different kinds in all, are shimmering, incandescent, mercurial—and powerful. Called entoptic images—which means "within vision"—these phenomena are products of the basic neural architecture of the human brain.”

Richard Leakey (1944) Kenyan paleoanthropologist, conservationist, and politician

Origins Reconsidered: In Search of What Makes Us Human (1992)

Art

“The “Meat” were there because of REAMDE, which had been present at background levels for several weeks now but that recently had pinballed through the elbow in its exponential growth curve and for about twelve hours had looked as though it might completely take over all computing power in the Universe, until its own size and rapid growth had caused it to run afoul of the sorts of real-world friction that always befell seemingly exponential phenomena and bent those hockey-stick graphs over into lazy S plots.”

Neal Stephenson book Reamde

Day 1
Reamde (2011), Part I: Nine Dragons

World , Universe , Hockey

“I lay my harp on the curved table,
Sitting there idly, filled only with emotions.
Why should I trouble to play?
A breeze will come and sweep the strings.”

Bai Juyi (772–846) Chinese poet of the Tang Dynasty

"The Harp", in The White Pony: An Anthology Of Chinese Poetry (1949), ed. Robert Payne, p. 220

“Before the payoff game in a World Series with the Dodgers in Brooklyn, Casey Stengel said in the clubhouse, "Well, this is it. Now who do you want to pitch?" The 40 guys in the clubhouse shouted "Raschi!" so loud the Dodgers must have heard it across the way. That's what we Yankees thought of Raschi. What did Raschi have? He had a slider and a curve that wasn't too good, but what made him so rough was a fast ball that got them out. Funny thing about him was that he couldn't relieve as good as Toots Shor. The guy was built to finish what he started.”

Yogi Berra (1925–2015) American baseball player, manager, coach

As quoted in "Raschi Was Best Hurler: Yogi" https://news.google.com/newspapers?id=2rEfAAAAIBAJ&sjid=PdcEAAAAIBAJ&pg=1965%2C6170607 by Harry Grayson, in The Cape Girardeau Southeast Missourian (Thursday, March 17, 1960), p. 3B.

World , Way , Guy , Game

“Wallis was in sympathy with Greek mathematics and astronomy, editing parts of the works of Archimedes, Eutocius, Ptolemy, and Aristarchus; but at the same time he recognized the fact that the analytic method was to replace the synthetic, as when he defined a conic as a curve of the second degree instead of as a section of a cone, and treated it by the aid of coordinates.”

David Eugene Smith (1860–1944) American mathematician

History of Mathematics (1923) Vol.1

Mathematics , Time , Parting

“The armchairs, with their flat, sedentary cushions, were designed for society, but the bed was made for solitude. It had a straitened and measured narrowness, an austere frame made to contain the curves of a single body, to circumscribe it, carry it, give it a place, and when I slept at night, I possessed it entirely.”

Amit Chaudhuri (1962) contemporary Indian-English novelist

Afternoon Raag (1993)

Solitude , Night

“As the skipping rope hit the pavement, so did the ball. As the rope curved over the head of the jumping child, the child with the ball caught the ball. Down came the ropes. Down came the balls. Over and over again. Up. Down. All in rhythm. All identical. Like the houses. Like the paths. Like the flowers”

Madeleine L'Engle book A Wrinkle in Time

A Wrinkle in Time (1962)

Flowers , Housing

“I approached the problem of utility measurement in 1923 during a stay in Paris. There were three objects I had in view :
:(I) To point out the choice axioms that are implied when we think of utility as a quantity, and to define utility in a rigorous way by starting from a set of such axioms;
:(II) To develop a method of measuring utility statistically;
:(III) To apply the method to actual data.
The results of my study along these lines are contained in a paper “Sur un Problème d’Économic Pure”, published in the Series Norsk Matematisk Forenings Skrifter, Serie I, Nr 16, 1926. In this paper, the axiomatics are worked out so far as the static utility concept is concerned. The method of measurement developed is the method of isoquants, which is also outlined in Section 4 below. The statistical data to which the method was applied were sales and price statistics collected by the “Union des Coopérateurs Parisien”. From these data I constructed what I believe can be considered the marginal utility curve of money for the “average” member of the group of people forming the customers of the union. To my knowledge, this is the first marginal utility curve of money ever published.”

Ragnar Frisch (1895–1973) Norwegian economist

Frisch (1932) New Methods of Measuring Marginal Utility. Mohr, Tübingen. p. 2-3: Quoted in: Dagsvik, John K., Steinar Strøm, and Zhiyang Jia. " A stochastic model for the utility of income http://www.ssb.no/a/publikasjoner/pdf/DP/dp358.pdf." (2003).
1930s

Money , People , Way , Knowledge

“Almost all of fluid dynamics follows from a differential equation called the Navier-Stokes equation. But this general equation has not, in practice, led to solutions of real problems of any complexity. In this sense, the curve of a baseball is not understood; the Navier-Stokes equation applied to a base ball has not been solved.”

Robert Adair (physicist) (1924) Physicist and author

Source: The Physics Of Baseball (Second Edition - Revised), Chapter 2, The Flight Of The baseball, p. 22

Problem , Sense

“It seems that the first consideration of a painter who stands before the white canvas should be to decide what curves and arabesques should cut the surface, what tints and tones should cover it... Following the precepts of Delacroix he would not begin a composition until he had first determined its organization. Guided by tradition and by science, he would adjust the composition to his conception, that is to say he would adapt the lines (directions and angles), the chiaroscuro (tones), the colors (tints), to the traits he wished to make dominant.”

Paul Signac (1863–1935) French painter

Chapt. III.; as quoted by John Rewald, in Georges Seurat', a monograph https://ia800607.us.archive.org/23/items/georges00rewa/georges00rewa.pdf; Wittenborn and Compagny, New York, 1943. p. 21
From Delacroix to Neo-Impressionism, 1899

Color , Science

“There will always be people who are ahead of the curve, and people who are behind the curve. But knowledge moves the curve.”

Bill James (1949) American baseball writer and statistician

The Mind of Bill James, 2006, p. 191

People , Knowledge

“The methods of the Bernoullis and of Taylor, were held, at the time of their invention, to be most complete and exact. Several imperfections, however, belong to them. They do not apply to problems involving three or more properties; nor do they extend to cases involving differentials of a higher order than the first: for instance, they will not solve the problem, in which a curve is required, that with its radius of curvature and evolute shall contain the least area. Secondly, they do not extend to cases, in which the analytical expression contains, besides x, y, and their differentials, integral expressions; for instance, they will not solve the second case proposed in James Bernoulli's Programma if the Isoperimetrical condition be excluded; for then the arc s, an integral, since it =\int \! dx \sqrt(1+\frac{dy^2}{dx^2}), is not given. Thirdly, they do not extend to cases, in which the differential function, expressing the maximum should depend on a quantity, not given except under the form of a differential equation, and that not integrable; for instance, they will not solve the case of the curve of the quickest descent, in a resisting medium, the descending body being solicited by any forces whatever.”

Robert Woodhouse (1773–1827) English mathematician

A Treatise on Isoperimetrical Problems, and the Calculus of Variations (1810)

Problem , Time , Dependency

“Spacetime tells matter how to move; matter tells spacetime how to curve.”

John Archibald Wheeler (1911–2008) American physicist

Wheeler's succinct summary of Einstein's theory of general relativity, in Geons, Black Holes, and Quantum Foam (2000), p. 235. http://books.google.com/books?id=zGFkK2tTXPsC&lpg=PA1&pg=PA235

“I hold in fact
(1) That small portions of space are in fact of a nature analogous to little hills on a surface which is on the average flat; namely, that the ordinary laws of geometry are not valid in them.
(2) That this property of being curved or distorted is continually being passed on from one portion of space to another after the manner of a wave.
(3) That this variation of the curvature of space is what really happens in that phenomenon which we call the motion of matter, whether ponderable or etherial.
(4) That in the physical world nothing else takes place but this variation, subject possibly to the law of continuity.”

William Kingdon Clifford On the Space-Theory of Matter

Abstract
On the Space-Theory of Matter (read Feb 21, 1870)

World , Law , Nature

“My form remains one, though the matter in it changes continually. I am, in that respect, like a curve in a waterfall.”

Clive Staples Lewis book Miracles

Source: Miracles (1947), Ch. 16: "Miracles of the New Creation"

Change

“One curve corresponds to the curvature of Mars on a scale of 1:1000, another curve to Venus on a scale of 1:40.000 [named after the Roman Gods of Love and War, probably alluding to her starting romance with Gerhard Richter ]”

Isa Genzken (1948) German sculptor

Quote of Genzken in: 'Gerhard Richter: A Life in Painting', by Dietmar Elger, University of Chicago Press 2009, p. 252
concept-text in 1980, for the commissioned decoration - together with Gerhard Richter - of the the multilevel U-bahn (subway) At König-Heinrich-Platz in Duisburg
1990 - 2000

Love , God , War

“The irony is we thought we were behind the curve, that the industry had already peaked, and we were just trying to catch up.”

Sid Meier (1954) Canadian-American game programmer and designer

http://www.gamespot.com/features/sidlegacy/interview.html

“During the relatively brief period in the late 1960s when economists were pondering the possible obsolescence of business cycles, the scholarly discipline of macroeconomics showed signs of becoming fragmented into speciality areas devoted to components of the then popular large-scale econometric models-for example, consumption, investment, money demand, and the Phillips curve. But more recently the revival of severe real world business cycles, together with the revolutions associated with Milton Friedman's monetarism and Lucas's classical equilibrium models, has brought about a revival of interest in economic analysis that focuses on a few broad aggregates summarizing activity in the economy as a whole-nominal and real income, the inflation rate, and the unemployment rate.”

Robert J. Gordon (1940) American economist

Source: The American Business Cycle, 1986, p. 2

Money , World , Business

“Delacroix spoke of the Greek coin being built from the center out. Vermeer has painted in this way, according to the principles of mass... How beautifully they are drawn – Vermeer does not just make a leaf and place it in the design, he relates space and leaf. [in the painting of Vermeer: 'Allegory on the New Testament']. That drapery – it is abstract – observe how this shape [a space between a shepherd and the tree] curves around the center space while the tree counter-curves opposite it, cutting an egg shape.... the spaces on the carpet that carry no figuration are, in fact, shapes of vital importance in building the whole..”

Arshile Gorky (1904–1948) Armenian-American painter

Source: 1942 - 1948, Arshile Gorky, – Goats on the roof' (2009), p. 357: in: 'A visit to the Metropolitan Museum with Gorky', Ethel Schwabacher, 1947

Way , Tree , Painting

“Draw all kind of everyday object placed, in such a way that they have in them the life of the man or woman – corsets that have just been removed, for example, and which retain the form of the body. Do a series in aquatint on mourning, different blacks – black veils of deep mourning floating on the face – black gloves – mourning carriages, undertaker’s vehicles – carriages like Venetian gondolas. On smoke – smoker’s smoke, pipes, cigarettes, cigars – smoke from locomotives, from tall factory chimneys, from steam boats, etc. On evening – infinite variety of subjects in cafes, different tones of glass robes reflected in the mirrors. On bakery, bread. Series of baker's boys, seen in the cellar itself or through the basement windows from the street – backs the colour of the pink flour – beautiful curves of dough – still-life's of different breads, large, oval, long, round, etc. Studies in color of the yellows, pinks, grays, whites of bread…… Neither monuments nor houses have ever been done from below, close up as they appear when you walk down the street. [a working note in which Degas planned series of views of modern Paris, the same time when he sketched the backstreet brothels, making graphic unflinching and even his realistic 'pornographic' sketches he called his 'glimpses through the keyhole', in which he also experimented with perspectives]”

Edgar Degas (1834–1917) French artist

Quote from Degas' Notebooks; Clarendon Press, Oxford 1976, nos 30 & 34 circa 1877; as quoted in The private lives of the Impressionists, Sue Roe, Harpen Collins Publishers, New York 2006, p. 182
quotes, undated

Life , Beauty , Color , Way

“Quality improves with effort according to an exponential curve.”

Robert W. Bly (1957) American writer

101 Ways to Make Every Second Count: Time Management Tips and Techniques for More Success With Less Stress (1999)

Effort

“Early entry is appropriate when the following general circumstances hold:
- Image and reputation of the firm are important to the buyer, and the firm can develop an enhanced reputation by being a pioneer.
- Early entry can initiate the learning process in a business in which the learning curve is important, experience is difficult to imitate, and it will not be nullified by successive technological generations.
- Customer loyalty will be great, so that benefits will accrue to the firm that sells to the customer first.
- Absolute cost advantages can be gained by early commitment to supplies of raw materials, distribution channels, and so on.”

Michael E. Porter (1947) American engineer and economist

2008 edition, p. 248
Competitive strategy, 1980

Business , Learning , Success , Loyalty

“The analytical equations, unknown to the ancient geometers, which Descartes was the first to introduce into the study of curves and surfaces, are not restricted to the properties of figures, and to those properties which are the object of rational mechanics; they extend to all general phenomena. There cannot be a language more universal and more simple, more free from errors and from obscurities, that is to say more worthy to express the invariable relations of natural things.
Considered from this point of view, mathematical analysis is as extensive as nature itself; it defines all perceptible relations, measures times, spaces, forces, temperatures; this difficult science is formed slowly, but it preserves every principle which it has once acquired; it grows and strengthens itself incessantly in the midst of the many variations and errors of the human mind.
Its chief attribute is clearness; it has no marks to express confused notions. It brings together phenomena the most diverse, and discovers the hidden analogies which unite them.”

Joseph Fourier book The Analytical Theory of Heat

Preliminary Discourse, p.7 Note: often quoted as Mathematics [or mathematical analysis] compares the most diverse phenomena and discovers the secret analogies that unite them.
The Analytical Theory of Heat (1878)

Error , Mathematics , Nature , Study

“But if some mind very different from ours were to look upon some property of some curved line as we do on the evenness of a straight line, he would not recognize as such the evenness of a straight line; nor would he arrange the elements of his geometry according to that very different system, and would investigate quite other relationships as I have suggested in my notes.
We fashion our geometry on the properties of a straight line because that seems to us to be the simplest of all. But really all lines that are continuous and of a uniform nature are just as simple as one another. Another kind of mind which might form an equally clear mental perception of some property of any one of these curves, as we do of the congruence of a straight line, might believe these curves to be the simplest of all, and from that property of these curves build up the elements of a very different geometry, referring all other curves to that one, just as we compare them to a straight line. Indeed, these minds, if they noticed and formed an extremely clear perception of some property of, say, the parabola, would not seek, as our geometers do, to rectify the parabola, they would endeavor, if one may coin the expression, to parabolify the straight line.”

Roger Joseph Boscovich (1711–1787) Croat-Italian physicist

"Boscovich's mathematics", an article by J. F. Scott, in the book Roger Joseph Boscovich (1961) edited by Lancelot Law Whyte.
"Transient pressure analysis in composite reservoirs" (1982) by Raymond W. K. Tang and William E. Brigham.
"Non-Newtonian Calculus" (1972) by Michael Grossman and Robert Katz.

Fashion , Nature

“Music expresses the motion of the waters, the play of curves described by changing breezes.”

Claude Debussy (1862–1918) French composer

As quoted in The Twentieth Century (1972) by Caroline Farrar Ware, p. 222
Variant translation: Music is the expression of the movement of the waters, the play of curves described by changing breezes.

Music , Water , Change

“When afternoon came to Vidyasagar Road, wet clothes … hung from a clothesline which stretched from one side to another on the veranda of the first floor. The line, which had not been tightly drawn anyway, sagged with the pressure of the heavy wet clothes that dripped, from sleeves and trouser-ends, a curious grey water on to the floor, and, especially in the middle, one noticed the line curved downwards, as if a smile were forming.”

Amit Chaudhuri (1962) contemporary Indian-English novelist

Freedom Song (1998)

Smile , Water , Clothes

“Alas! So there is no escape from the question. Not for me, not for anyone! Then life is just breathing or running behind infinite number of questions? And then, what question is really? And what answer is too? This too a question. I observe the question mark carefully. And Eureka! I didn't know that my answer was encrypted and hidden in that symbol of a question mark. The dot below the curved stroke in a question mark symbolizes Zero as the question's answer itself, I never knew. Punctuation marks are so carefully crafted, I never knew!”

P. L. Deshpande (1919–2000) Marathi writer, humourist, actor, dramatist

citation needed
From his various literature

Life , Question

“I don't believe that the average fellow has anything like a true line on the value of wrist action in hitting anything—a baseball, a golf ball, a tennis ball or a polo ball. If you watch most of them, you will see they are trying to hit with their bodies, with their shoulders, with their arms—with almost everything except their wrists. I think it comes because most of them are overanxious, all tied up, too tense. They start by gripping too tightly. That kills off the hands and wrists. Their wrists get locked and then they have to swing their shoulders and bodies in. You'd be surprised how far a fellow can hit a ball, using only his wrists. I know I've been caught off guard or out of position on a sharp breaking curve, have had to slap at the ball, using only my wrists and have now and then watched it sail over the fence. The wrist is the mainspring—both wrists in baseball and golf. If you get them to work the rest is fairly easy. If you don't get them to work you are not going to do any good hitting. You can't get any speed in closing a door if the hinges are rusty and won't work. Hack Wilson must have great wrist action, for no short, stocky guy is going to hit that many home runs without a lot of it.”

Babe Ruth (1895–1948) American baseball player

As quoted in "The Sportlight" by Grantland Rice, in The Baltimore Sun (August 22, 1930), p. 13

Guy , Home , Thinking , Speed

“My work is based on a tradition quite distinct from the Eckersberg tradition, a Nordic line of development that had never been clearly and consistently defined in the literature on art. This line is not a straight one; it has the strangest and most fascinating twists and curves, and includes such artists as Edvard Munch, Ernest Josephson, Hill, Hansen Jacobsen, Johannes Holbek, Jens Lund, and Emile Nolde. Not all of them equally well known.”

Asger Jorn (1914–1973) Danish artist

Statement in the late 1960s, as quoted in Fortaelleren Asger Jorn (1984) by Gunnar Jespersen, p. 121
1959 - 1973, Various sources

Art , Literature

“A rich man’s body is like a premium cotton pillow, white and soft and blank. ‘’Ours’’ is different. My father’s spine was a knotted rope, the kind that women use in villages to pull water from wells; the clavicle curved around his neck in high relief, like a dog’s collar; cuts and nicks and scars, like little whip marks in his flesh, ran down his chest and waist, reaching down below his hip bones into his buttocks. The story of a poor man’s life is written on his body, in a sharp pen.”

Aravind Adiga book The White Tiger

The First Night.
The White Tiger (2008)

Life , Women , Dogs , Water

“The men in the laboratory… cannot be said to observe the actual objects of their curiosity at all. …The sense data on which the propositions of modern science rest are, for the most part, little photographic spots and blurs, or inky curved lines on paper. …What is directly observable is only a sign of the "physical fact"; it requires interpretation to yield scientific propositions.”

Susanne K. Langer book Philosophy in a New Key

Philosophy in a New Key (1942)

Men , Sense , Science , Parting

“Depraved these styles are called, the one with its ever broken and twisted mouldings, the other with its rich crowded carving, and depraved we may count them, if we are of the school that thinks the purpose of architectural ornament is always to state some fact of construction. The Mexican architects and their workmen were certainly not of this school. They broke their mouldings, turned and curved them and multiplied their ornament for the pure joy it gave them to see the sparkle of the sunlight on their white walls.”

Clarence Stein (1882–1975) American architect

A Triumph of Spanish Colonial Style (1916)

School , Thinking , Joy

“It is better to have the child in the chimney corner moved by what happens in the poem, in spite of his ignorance of its real meaning, than to have the poem a puzzle to which that meaning is the only key. Still, complicated subjects make complicated poems, and some of the best poems can move only the best readers; this is one more question of curves of normal distribution. I have tried to make my poems plain, and most of them are plain enough; but I wish that they were more difficult because I had known more.”

Randall Jarrell (1914–1965) poet, critic, novelist, essayist

"Answers to Questions," from Mid-Century American Poets, edited by John Ciardi, 1950 [p. 170]
Kipling, Auden & Co: Essays and Reviews 1935-1964 (1980)

Question

“Any region of space-time that has no gravitating mass in its vicinity is uncurved, so that the geodesics here are straight lines, which means that particles move in straight courses at uniform speeds (Newton's first law). But the world-lines of planets, comets and terrestrial projectiles are geodesics in a region of space-time which is curved by the proximity of the sun or earth… No force of gravitation is… needed to impress curvature on world-lines; the curvature is inherent in the space…”

James Jeans (1877–1946) British mathematician and astronomer

The Growth of Physical Science (1947)

World , Law , Time , Sun

“The blare of the trumpets grew louder, like a deep golden tide surge, like the soft booming of the evening tides against the silver beaches of Valusia. The throng shouted, women flung roses from the roofs as the rhythmic chiming of silver hoofs came clearer and the first of the mighty array swung into view in the broad white street that curved round the golden-spired Tower of Splendor.”

Robert E. Howard (1906–1936) American author

"The Shadow Kingdom" (1929)

Women

“I was traveling in Greece as a teenager, and for those who haven't been to Greece, it's absolutely covered in olive groves — stunted, gnarly little bonsai-type trees. And I was driving on a moped and a huge black stallion had pulled away from its stake and was just going nuts in this tiny, tiny, hobbit-like forest. It was just such a powerful image, this enormous beast let loose and going wild in a fairy-tale wood of tiny trees… The song itself is really about going through the process of making the first album. It was a very strange experience and a very steep learning curve. For the previous 10 or 15 years, I'd been completely my own boss — when you play a gig, you just play your new song, the new song is always your favorite. And here I was having to make an album of stuff that's never gonna go away. I was being asked to make these huge decisions, so really the song is just about learning to listen to your guts again. There's actually very few times in our lives now when we have to do that.”

KT Tunstall (1975) Scottish singer-songwriter and guitarist

On influences in writing her song "Black Horse and the Cherry Tree", in a Barnes & Noble Interview with David Sprague (February 2006).

Travel , Decision , Tree , Learning

“Tracking the individual learning curves of the major technologies that comprise the infrastructure of information technology provides a more detailed account of the present and future state-of-the art of the technologies underlying convergence. The base technologies of digital electronics, general-purpose computer architectures, software and interaction are mature and provide solid foundations for computer science. The upper technologies of knowledge representation and acquisition, autonomy and sociality, support product innovation and provide the beginnings of foundations for knowledge science. Well's dream of a world brain making available all of human knowledge is well on its way to realization and it is in the representation, acquisition, and access and effective application of that knowledge that the commercial potential and socio-economic impact of convergence lies.”

Brian R. Gaines (1938) British computer scientist

Last paragraph
Convergence to the Information Highway (1996)

World , Dreams , Art , Way

“The Bell curve is a fact of life. The blacks on average score 85 per cent on IQ and it is accurate, nothing to do with culture. The whites score on average 100. Asians score more … the Bell curve authors put it at least 10 points higher. These are realities that, if you do not accept, will lead to frustration because you will be spending money on wrong assumptions and the results cannot follow.”

Lee Kuan Yew (1923–2015) First Prime Minister of Singapore

Lee Kuan Yew, The Man & His Ideas, 1997
1990s

Life , Money , Reality

“Spade’s thick fingers made a cigarette with deliberate care, sifting a measured quantity of tan flakes down into curved paper, spreading the flakes so that they lay equal at the ends with a slight depression in the middle, thumbs rolling the paper’s inner edge down and up under the outer edge as forefingers pressed it over, thumbs and fingers sliding to the paper cylinder’s ends to hold it even while tongue licked the flap, left forefinger and thumb pinching their ends while right forefinger and thumb smoothed the damp seam, right forefinger and thumb twisting their end and lifting the other to Spade’s mouth.”

Dashiell Hammett book The Maltese Falcon

The Maltese Falcon (1930)

“A long standing prediction (Milgrom 1983) of MOND is that rotating galaxy curves will fall on a single mass-velocity relation with slope 4: Mb \propto Vf4. This prediction is realized in multiple independent data sets. Gas rich galaxies fall where predicted by MOND with no free parameters. There are not many predictions in extragalactic astronomy that fare so well a quarter century after their publication. … a physical understanding for why galaxy formation in the context of ΛCDM should pick out the particular phenomenology predicted a priori by MOND remains wanting.”

Stacy McGaugh (1964) American astronomer

[Stacy McGaugh, 2011, The Baryonic Tully-Fisher Relation of Gas-Rich Galaxies as a Test of ΛCDM and MOND, p. 16, ApJ, http://arxiv.org/abs/1107.2934]

Understanding

“THE AMERICAN people have of late been more conscious of the business cycle, more sensitive to every wrinkle of economic curves, more alert to the possible need for contra-cyclical action on the part of government, than ever before in our history. Minor changes of employment or of productivity or of the price level, which in an earlier generation would have gone unnoticed, are nowadays followed closely by laymen as well as experts.”

Arthur F. Burns (1904–1987) American economist and diplomat

Source: "Progress Towards Economic Stability", 1969, p. 101

People , History , Business , Change

“If the intensity of the material world is plotted along the horizontal axis, and the response of the human mind is on the vertical, the relation between the two is represented by the logarithmic curve. Could this rule provide a clue to the relationship between the objective measure of information, and our subjective perception of it?”

Hans Christian von Baeyer (1938) American physicist

Source: Information, The New Language of Science (2003), Chapter 10, Counting Digits, The ubiquitous logarithm, p. 85

World

“Some maintain that such a tendency distorts the curve of tradition. Do they derive their arguments from the future or the past? The future does not belong to them, as far as we are aware, and one be singularly ingenuous to seek to measure that which exists by that which exists no longer.”

Albert Gleizes (1881–1953) French painter

1910s, Du Cubisme (1912)

Past , Future

“Plato, despair!
We prove by norms
How numbers bear
Empiric forms,

How random wrong
Will average right
If time be long
And error slight,

But in our hearts
Hyperbole
Curves and departs
To infinity.

Error is boundless.
Nor hope nor doubt,
Though both be groundless,
Will average out.”

J. V. Cunningham (1911–1985) American writer

“Meditation on Statistical Method”, 1960
The Exclusions of a Rhyme: Poems and Epigrams, Ohio University Press, 1960.
Other poetry

Hope , Error , Time , Heart

“You don’t think progress goes in a straight line, do you? Do you recognize that it is an ascending, accelerating, maybe even exponential curve? It takes hell’s own time to get started, but when it goes it goes like a bomb.”

Frederik Pohl (1919–2013) American science fiction writer and editor

Day Million (p. 441)
Platinum Pohl (2005)

Hell , Thinking , Time

“The simultaneousness of states of mind in the work of art: that is the intoxicating aim of our art... In the pictorial description of the various states of mind of a leave-taking, perpendicular lines, undulating lines and as it were worn out, clinging here and there to silhouettes of empty bodies, may well express languidness and discouragement. Confused and trepidating lines, either straight or curved, mingled with the outlined hurried gestures of people calling to one another will express a sensation of chaotic excitement. On the other hand, horizontal lines, fleeting, rapid and jerky, brutally cutting in half lost profiles of faces or crumbling and rebounding fragments of landscape, will give the tumultuous feelings of the person going away.”

Umberto Boccioni (1882–1916) Italian painter and sculptor

Source: 1912, Les exposants au public', 1912, pp. 47, 49

People , Art , Feeling , Personality

“Wealth in the hands of the holders of wealth is not capital until it controls the means of production, buys labor power, and puts it to work, continuously expanding surpluses by intensifying productivity through an ever-rising curve of technological inputs.”

Eric Wolf (1923–1999) American anthropologist

Source: Europe and the People Without History, 1982, Chapter 3, Modes of Production, p. 78.

Wealth

“Having now retrieved a little more of leasure, both for Delineation and Description, for a further elucidation of what I have said, I shall make it my third Attempt, to explain;
First, A Helioscope to look upon the body of the Sun, without any offence to the Observers eye.
Secondly, A way of shortening reflective and refractive Telescopes.
Thirdly, A way of using a Glass of any length, without moving the Tube.
Fourthly, An Instrument for taking the Diameters of the Sun, Moon and Planets, or for taking any other Distances, to five or ten Degrees, to the certainty of a Second. …
Fifthly, An Instrument for describing all manner of Dials, by the tangent projection.
Sixthly, The uses thereof;
1. For adjusting the Hand of a Clock, so as to make it move in the shadow of a Dial, whose style is parallel to the Axis: Or,
2. In the Azimuth of any Celestial Body, that is, in the shadow of the upright, or any other way inclining Style, upon any plain.
3. For making a Hand move according to the true æquation of Time.
4. For making all manner of Elliptical Dials, in Mr. Foster's way, &c.
5. For communicating a circular motion in a Curve Line, without any shaking: And for divers other excellent purposes.”

Robert Hooke (1635–1703) English natural philosopher, architect and polymath

A Description of Helioscopes, and Some Other Instruments https://books.google.com/books?id=KQtPAAAAcAAJ (1676)

Way , Communication , Time , Sun

“O cool glad pasture; living tree, tall corn,
Great cliff, or languid sloping sand, cold sea,
Waves: river curving; you, eternal flowers,
Give me content, while I can think of you:
Give me your living breath!
Back to your rampart, Death!”

Harold Monro (1879–1932) British poet

"Living", line 36, from Alida Monro (ed.) Collected Poems (London: Duckworth, [1933] 1970) p. 13.

Death , Flowers , Thinking , Tree

“All I saw was the dame standing there in the glare of the headlights waving her arms like a huge puppet and the curse I spit out filled the car and my own ears. I wrenched the wheel over, felt the rear end start to slide, brought it out with a splash of power and almost ran up the side of a cliff as the car fishtailed. The brakes bit in, gouging a furrow in the shoulder, then jumped to the pavement and held.
Somehow I had managed a sweeping curve around the babe. For a few seconds she had been living on stolen time because instead of getting out of the way she had tried to stay in the beam of the headlights. I sat there and let myself shake. The butt that had fallen out of my mouth had burned a hole in the leg of my pants and I flipped it out the window. The stink of burned rubber and brake lining hung in the air like smoke and I was thinking of every damn thing I ever wanted to say to a hairbrained woman so I could have it ready when I got my hands on her.
That was as far as I got. She was there in the car beside me, the door slammed shut and she said, "Thanks, mister."”

Mickey Spillane (1918–2006) American writer

Kiss Me Deadly (1952)

Cars , Way , Thinking , Time

“His eyes were frighteningly alive, the curve of his mouth savage and pleased. It suddenly didn't seem at all surprising that he should be able to pull things from his dreams. In that moment, Blue was a little in love with all of them. Their magic. Their quest. Their awfulness and strangeness. Her raven boys.”

Maggie Stiefvater (1981) American writer

Blue
The Raven Cycle Series, The Dream Thieves (2013)

Love , Dreams , Boy

“… my mother will settle on the rug and unclip the bellows, pulling and pushing them with a mild aquatic motion with her left hand, the fingers of the right hand flowering upon the keys, the wedding-bangle suspended around her wrist. Each time the bellows are pushed, the round holes on the back open and close like eyes. Without the body music is not possible; it provides the hollow space for resonance as does the curved wooden box of the violin or the round urn of the sitar. At the moment of singing, breath tips in the swelling diaphragm as water does in a pitcher. The voice-box itself is a microscopic harp, its cords tautening and relaxing with each inflection.”

Amit Chaudhuri (1962) contemporary Indian-English novelist

Afternoon Raag (1993)

Music , Flowers , Wedding , Water

“The developed world should neither shelter nor militarily destabilize authoritarian regimes—unless those regimes represent an imminent threat to the national security of other states. Developed states should instead work to create the conditions most favorable for a closed regime’s safe passage through the least stable segment of the J curve—however and whenever the slide toward instability comes. And developed states should minimize the risk these states pose the rest of the world as their transition toward modernity begins.”

Ian Bremmer (1969) American political scientist

The J Curve: A New Way to Understand Why Nations Rise and Fall (2006).

World

“Contrast = dissonance, and hence a maximum expressive effect. I will take as an example a commonplace subject: the visual effect of curled and round puffs of smoke rising between houses. You want to convey their plastic value... Here you have the best example on which to apply research into multiplicative intensities. Concentrate your curves with the greatest possible variety without breaking up their mass; frame them by means of the hard, dry relationship of the surfaces of the houses, dead surfaces that will acquire movement by being colored in contrast to the central mass and being opposed by live forms; you will obtain a maximum effect.”

Fernand Léger (1881–1955) French painter

Quote, 1914, in 'Functions of Painting by Fernand Leger'; p. 14
Quotes of Fernand Leger, 1910's, Contemporary Achievements in Painting, 1914

Color , Housing , Dead

“Is evolution a theory, a system or a hypothesis? It is much more: it is a general condition to which all theories, all hypotheses, all systems must bow and which they must satisfy henceforward if they are to be thinkable and true. Evolution is a light illuminating all facts, a curve that all lines must follow.”

Pierre Teilhard De Chardin book The Phenomenon of Man

The Phenomenon of Man (1955)

Light

“Simulators set up the required system of interdependences, usually between electrical potentials or voltages as variables, by means of valve-amplifiers and electrical networks. Since the voltage across a capacitance is proportional to the integral of a current, that across an inductance to the first derivative of a current, and that across a resistor to the current itself, it is possible to arrange a network of electrical elements, with amplifiers and feeds-back where necessary, so that a given linear differential equation is caused to relate an ’output’ voltage to an ’input’ voltage. Thus a given linear system of interdependences can be simulated, either directly or in any convenient transformation. If non-linear relationships are required there is no universally applicable simple device, but there do exist a great variety of non-linear elements with non-linear characteristics that are known and to some extent; adjustable. These include non-linear resistors… and the characteristic curves of thermionic valves, of rectifiers and discharge vessels and of magnetic materials. Limits may be set by the use of neon tubes that become conducting when a certain voltage is exceeded, or by relays, and so on”

Arnold Tustin (1899–1994) British engineer

Source: The Mechanism of Economic Systems (1953), p. 128; As cited in: Prices Revalued as Information: Circuit Elements, online document 2013

Universe

“I have always been interested in oval or ovoid shapes. The first carvings were simple realistic oval forms of the human head or of a bird. Gradually my interest grew in more abstract values – the weight, poise and curvature of the ovoid as a basic form. The carving and piercing of such a form seems to open up an infinite variety of continuous curves in the third dimension, changing in accordance with the contours of the original ovoid and with the degree of penetration of the material. Here is a sufficient field for exploration to last a lifetime..”

Barbara Hepworth (1903–1975) English sculptor

Source: 1932 - 1946, The Studio 132:643', (1946), p. 279

Bird , Change

“Instead of opposing comic and tragic characters [as Molière and Shakespeare] and contrary scenic states, I organize the opposition of contrasting values, lines, and curves. I oppose curves to straight lines, flat surfaces to molded forms, pure local colors to nuances of gray. These initial plastic forms are either superimposed on objective elements or not, it makes no difference to me. There is only a question of variety.”

Fernand Léger (1881–1955) French painter

Quote from 'Notes on Contemporary Plastic Life', 'Kunstblatt', Berlin 1923; as quoted in The documents of 20th century art – Functions of Painting by Fernand Léger, in Thames and Hudson Ltd, London 1973, p. 25
Quotes of Fernand Leger, 1920's

Color , Question

“Individually speaking, death is always a rupture, a violence. But taking a total view, death is the bell curve upon which the cosmos is balanced. Without it, nothing would work, everything would collapse, clogged and stagnant. Death is flow. It is the necessary lubrication of universal motion. It is, in itself, neither praiseworthy nor blameworthy.”

Adam Roberts book Jack Glass: The Story of a Murderer

Part 3, Chapter 8, “The Wrath of Diana” (p. 337).
Jack Glass (2012)

Death , Universe

“Roll on, ye Stars! exult in youthful prime,
Mark with bright curves the printless steps of Time;
Near and more near your beamy cars approach,
And lessening orbs on lessening orbs encroach; —
Flowers of the sky! ye too to age must yield,
Frail as your silken sisters of the field!
Star after star from Heaven's high arch shall rush,
Suns sink on suns, and systems systems crush,
Headlong, extinct, to one dark center fall,
And Death and Night and Chaos mingle all!
— Till o'er the wreck, emerging from the storm,
Immortal Nature lifts her changeful form,
Mounts from her funeral pyre on wings of flame,
And soars and shines, another and the same.”

Erasmus Darwin book The Botanic Garden

The Botanic Garden (1791), Part i.

Death , Youth , Age , Cars

“With no words, with no song
You can dance the dream with your body on
And this curve, is your smile
And this cross, is your heart
And this line, is your path
Oh it's gonna be the way you always thought it would be
But it's gonna be no illusion
Oh it's gonna be the way you always dreamt about it
But it's gonna be really happening to ya…”

Kate Bush (1958) British recording artist; singer, songwriter, musician and record producer

Song lyrics, The Red Shoes (1993)

Smile , Dreams , Way , Heart

“What I have given in the second book on the nature and properties of curved lines, and the method of examining them, is, it seems to me, as far beyond the treatment in the ordinary geometry, as the rhetoric of Cicero is beyond the a, b, c of children.”

René Descartes (1596–1650) French philosopher, mathematician, and scientist

Letter to Marin Mersenne (1637) as quoted by D. E. Smith & M. L. Latham Tr. The Geometry of René Descartes (1925)

Children , Books , Nature

“It is remarkable that this generalization of plane geometry to surface geometry is identical with that generalization of geometry which originated from the analysis of the axiom of parallels. …the construction of non-Euclidean geometries could have been equally well based upon the elimination of other axioms. It was perhaps due to an intuitive feeling for theoretical fruitfulness that the criticism always centered around the axiom of parallels. For in this way the axiomatic basis was created for that extension of geometry in which the metric appears as an independent variable. Once the significance of the metric as the characteristic feature of the plane has been recognized from the viewpoint of Gauss' plane theory, it is easy to point out, conversely, its connection with the axiom of parallels. The property of the straight line as being the shortest connection between two points can be transferred to curved surfaces, and leads to the concept of straightest line; on the surface of the sphere the great circles play the role of the shortest line of connection… analogous to that of the straight line on the plane. Yet while the great circles as "straight lines" share the most important property with those of the plane, they are distinct from the latter with respect to the axiom of the parallels: all great circles of the sphere intersect and therefore there are no parallels among these "straight lines". …If this idea is carried through, and all axioms are formulated on the understanding that by "straight lines" are meant the great circles of the sphere and by "plane" is meant the surface of the sphere, it turns out that this system of elements satisfies the system of axioms within two dimensions which is nearly identical in all of it statements with the axiomatic system of Euclidean geometry; the only exception is the formulation of the axiom of the parallels.”

Hans Reichenbach (1891–1953) American philosopher

The geometry of the spherical surface can be viewed as the realization of a two-dimensional non-Euclidean geometry: the denial of the axiom of the parallels singles out that generalization of geometry which occurs in the transition from the plane to the curve surface.
The Philosophy of Space and Time (1928, tr. 1957)

Way , Feeling , Idea , Understanding

“Criticism, like so many other things, keeps to what has been said before and does not get out of the rut. This business of the 'Beautiful' some see it in curved lines, some in straight lines, but all persist in seeing it as a matter of line. I am now looking out of my window and I can see the most lovely countryside; lines just do not come into my head: the lark is singing, the river sparkles with a thousand diamonds, the leaves are whispering; where, I should like to know, are the lines that produce delicious impressions like these? They refuse to see proportion or harmony except between two lines: all else they regard as chaos, and the dividers alone are judge.”

Eugène Delacroix (1798–1863) French painter

Quote from a letter to Léon Peisse, 15 July 1949; as cited in Letters of the great artists – from Blake to Pollock, Richard Friedenthal, Thames and Hudson, London, 1963, p. 68
this quote refers to Delacroix's refusal to use the line as boundary of the form in his painting art, as a too sharp dividing force in the picture - in contrast to the famous classical painter in Paris then, Ingres
1831 - 1863

Love , Beauty , Business , Singing

“I could digress and say that you have the ability to give magnificent gentle kisses, or that I love your tan lines or that I love the curve of your hips, the erotic beauty of you holding yourself (or two magnificent parts of yourself) in the faded glow of the night's light. but hey, that would be going into sexual details…”

Mark Sanford (1960) 115th Governor of South Carolina

From emails to Argentine mistress; reported in " Sanford-Maria e-mails shed light on governor's affair http://www.thestate.com/sanford/story/839350.html", The State (June 25, 2009).

Love , Beauty , Kiss , Light

“The male sense of space must differ from that of the female, who has such interesting, active, and significant inner space. The space that interests men is outer. The fly ball high against the sky, the long pass spiraling overhead, the jet fighter like a scarcely visible pinpoint nozzle laying down its vapor trail at 40,000 feet, the gazelle haunch flickering just beyond arrow-reach, the uncountable stars sprinkled on their great black wheel, the horizon, the mountaintop, the quasar — these bring portents with them and awaken a sense of relation with the invisible, with the empty. The ideal male body is taut with lines of potential force, a diagram extending outward; the ideal female body curves around centers of repose.”

John Updike (1932–2009) American novelist, poet, short story writer, art critic, and literary critic

“The Disposable Rocket,” Michigan Quarterly Review (Fall 1993)

Men , Star , Sense , Flying

“One of the most curious of these frenzies of exclusion was that against the emancipation of the Jews. All share in the government of the world was denied for centuries to perhaps the ablest, certainly the most tenacious, race that had ever lived in it - the race to whom we owed our religion and the purest spiritual stimulus and consolation to be found in all literature - a race in which ability seems as natural and hereditary as the curve of their noses, and whose blood, furtively mingling with the bluest bloods in Europe, has quickened them with its own indomitable impulsion.”

James Russell Lowell (1819–1891) American poet, critic, editor, and diplomat

On Democracy (6 October 1884)

World , Religion , Literature , Nature

“Your lips have splashed my dull house with print of flowers
My hands are crooked where they spilled over your dear
curving”

Kenneth Patchen (1911–1972) American writer and poet

"As We Are So Wonderfully Done With Each Other"

Flowers , Housing

“I deliberately disregarded the right angle and rationalist architecture designed with ruler and square to boldly enter the world of curves and straight lines offered by reinforced concrete.… This deliberate protest arose from the environment in which I lived, with its white beaches, its huge mountains, its old baroque churches, and the beautiful suntanned women.”

Oscar Niemeyer (1907–2012) Brazilian architect

The Curves of Time: The Memoirs of Oscar Niemeyer (2000), p. 62.

Women , World , Beauty , Mountain

“To the far left, above your shoulder’s gentle/curve, like golden pods, the sodium vapour/lights in the naval dockyard … And before us,/a continuous, unreal flare of fire defined/the horizon’s extremity, a stain on a brow.”

Amit Chaudhuri (1962) contemporary Indian-English novelist

The Steamer
St Cyril Road and Other Poems (2005)

Light

“It’s to me this evening something has to happen, to my body as in myth and metamorphosis, this old body to which nothing ever happened, or so little, which never met with anything, wished for anything, in its tarnished universe, except for the mirrors to shatter, the plane, the curved, the magnifying, the minifying, and to vanish in the havoc of its images.”

Samuel Beckett (1906–1989) Irish novelist, playwright, and poet

The Calmative (1946)

Universe

“We now come to a third evil, namely, our very unsatisfactory, not to say ugly, furniture. It may be objected that it does not much matter what may be the exact curve of the legs of the chair a man sits upon, or of the table off which he eats his dinner, provided the said articles of furniture answer their respective uses; but, unfortunately, what we see continually before our eyes is likely, indeed is quite sure, to exercise a very great influence upon our taste, and therefore the question of beautiful versus ugly furniture does become a matter of very great importance. I might easily enlarge upon the enormities, inconveniences, and extravagances of our modern upholsterers, but that has been so fully done in a recent number of the "Cornhill Magazine" that I may well dispense with the task.”

William Burges (1827–1881) English architect

Eastop & Gil commented that:
Burges held strong views about furniture, and protested at the "enormities, inconveniences, and upholsterers." (1865: 69) He advocated the use of the medieval style, because "not only did its duty as furniture, but spoke and told a story" (1865: 71).
Source: Art applied to industry: a series of lectures, 1865, p. 69: Partly cited in: Dinah Eastop, ‎Kathryn Gill (2012) Upholstery Conservation: Principles and Practice. http://books.google.com/books?id=2gf50OiP8lAC&pg=PA50 p. 47.

Beauty , Exercises , Question , Evil

“This is the correct procedure: Spot who is attacking us. Start investigating them promptly for felonies or worse using our own professionals, not outside agencies. Double curve our reply by saying we welcome an investigation of them. Start feeding lurid, blood sex crime actual evidence on the attackers to the press. Don't ever tamely submit to an investigation of us. Make it rough, rough on attackers all the way.”

L. Ron Hubbard (1911–1986) American science fiction author, philosopher, cult leader, and the founder of the Church of Scientology

"Attacks on Scientology" (25 February 1966).
Scientology Policy Letters

Sex , Way

“I felt eyes upon me, and they pulled me away. I looked at the gathering of eager cops; some were merely curious, while others, I knew, sought their own secret satisfaction. They all wanted to see it, my face, a defense attorney's face, here in this musty place where murder was more than a case file, where the victim was flesh and blood, the smell that of family gone to dust.I felt their eyes. I knew what they wanted, and so I turned to look again upon the almost empty clothes, the flash of bone so pale and curving. But I would give them nothing, and my body did not betray me, for which I was grateful. For what I felt was the return of a long-quiescent rage, and the certain conviction that this was the most human my father had ever appeared to me.”

John Hart (1965) American author with multiple books and awards

Source: The King of Lies (2006), Ch. 1.

Secret , Family , Appearance , Rage

“Rapidly going over what I could recall of Jim Bursley's information about pathological curves confirmed the conjecture. The snowball curve, derived from an equilateral triangle, is a perimeter of infinite length enclosing a finite area. The angles or points of the perimeter are uncountable. An equilateral triangle projected integrally in the third dimension is a triangular pyramid of equal surfaces. The three-dimensional snowflake derived from this pyramid--hence its diamantine appearance--is a finite volume enclosed in a surface of infinite area. The convolutions of such a surface, to be gathered around its defined content extrude a number of discrete angles or points beyond all possibility of computation. The pressure on each point is infinitesimal, unmeasurably small; the total external pressure exerted on any part of the surface is an aggregate of infinitesimal values, itself infinitesimal.”

William Grey Walter (1910–1977) American-born British neuroscientist and roboticist

Source: The Curve of the Snowflake (1956), p. 126.

Appearance , Parting

“willow of crystal, a poplar of water,
a pillar of fountain by the wind drawn over,
tree that is firmly rooted and that dances,
turning course of a river that goes curving,
advances and retreats, goes roundabout,
arriving forever:
the calm course of a star
or the spring, appearing without urgency,
water behind a stillness of closed eyelids
flowing all night and pouring out prophecies,
a single presence in the procession of waves
wave over wave until all is overlapped,
in a green sovereignty without decline
a bright hallucination of many wings
when they all open at the height of the sky, course of a journey among the densities
of the days of the future and the fateful
brilliance of misery shining like a bird
that petrifies the forest with its singing
and the annunciations of happiness
among the branches which go disappearing,
hours of light even now pecked away by the birds,
omens which even now fly out of my hand, an actual presence like a burst of singing,
like the song of the wind in a burning building,
a long look holding the whole world suspended,
the world with all its seas and all its mountains,
body of light as it is filtered through agate,
the thighs of light, the belly of light, the bays,
the solar rock and the cloud-colored body,
color of day that goes racing and leaping,
the hour glitters and assumes its body,
now the world stands, visible through your body,
and is transparent through your transparency”

Octavio Paz (1914–1998) Mexican writer laureated with the 1990 Nobel Prize for Literature

Sun Stone (1957)

Fate , World , Color , Mountain

“Early in my professional life, I found that many areas of economics attracted me. I started working and publishing in price theory by 1938. In 1946, I published an early work on linear programming (The Cost of Subsistence) which solved the problem only approximately; George Dantzig soon presented the exact solution. In the 1940s, I began empirical work on price theory, starting with a test of the kinked oligopoly demand curve theory of rigid prices.”

George Stigler (1911–1991) American economist

"George J. Stigler - Biographical," 1982

Life , Problem

“You see, when a blind beetle crawls over the surface of a globe he doesn't notice that the track he has covered is curved. I was lucky enough to have spotted it.”

Albert Einstein (1879–1955) German-born physicist and founder of the theory of relativity

Attributed to Einstein in Carl Seelig's Albert Einstein: A Documentary Biography (1956), p. 80 http://books.google.com/books?id=VCbPAAAAMAAJ&q=%22blind+beetle%22#search_anchor. Said to have been a comment he made to his son Eduard when Eduard asked him, at age 9, "Why are you actually so famous, papa?"
Attributed in posthumous publications

“Painting is the magic art, the fire set alight on the windows of the rich dwelling, as on those of the humble hovel, from the last rays of the setting sun, it is the long mark, the humid mark, the fluent and still mark that the dying wave etches on the hot sand, it is the darting of the immortal lizard on the rock burnt by the midday heat, it is the rainbow of conciliation, on sad May afternoons, after the storm has passed, down there, making a dark backdrop to the almond trees in flower, to the gardens with their washed colours, to the ploughmen's huts, smiling and tranquil, it is the livid cloud chased by the vehement blowing of Aeolus enraged, it is the nebulous disk of the fleeting moon behind the ripped-open funereal curtain of a disturbed sky in the deep of night, it is the blood of the bull stabbed in the arena, of the warrior fallen in the heat of battle, of Adonis' immaculate thigh wounded by the obstinate boar's curved tusk, it is the sail swollen with the winds of distant seas, it is the centuries-old tree browned in the autumn..”

Giorgio de Chirico (1888–1978) Italian artist

Quote from the first lines in De Cirico's essay 'Painting', 1938; from http://www.fondazionedechirico.org/wp-content/uploads/211_Painting_1938_Metaphysical_Art.pdf 'Painting', 1938 - G. de Chirico, presentation to the catalogue of his solo exhibition Mostra personale del pittore Giorgio de Chirico, Galleria Rotta, Genoa, May 1938], p. 211
1920s and later

Sadness , Smile , Art , Flowers

“There were a lot of people living in his time who never did latch on to the idea that the curve of technological progress was not a flat slanting line like a diving board, but a geometrical curve like a ski-jump. These wistful and mixed-up souls were always suffering from attacks of belated conservatism, clutching suddenly at this dying thing and that, trying to keep it or bring it back. It wasn’t real conservatism at all, of course, but an unthought longing for the dear old days when one could predict what would be there tomorrow, if not next week. Unable to get the big picture, they welcomed the conveniences, the miniaturization of this and the speed of that, and then were angrily confused when their support of these things changed their world.”

Theodore Sturgeon book Venus Plus X

Section 11 (p. 33)
Venus Plus X (1960)

People , World , Soul , Idea

“He lies on top of her, sweating, taking great breaths, watching her face turned 3/4 away, not even a profile, but the terrible Face That is No Face, gone too abstract, unreachable: the notch of the eye socket, but never the labile eye, only the anonymous curve of cheek, convexity of mouth, a noseless mask of the Other Order of Being, of Katje's being — the lifeless non-face that is the only face of hers he really knows, or will ever remember.”

Thomas Pynchon book Gravity's Rainbow

Gravity's Rainbow (1973)

“I believe in living a vegetarian lifestyle from a health standpoint and I also have deep compassion for animals. I wanted to raise awareness and educate people on the abuse and inhumane treatment that goes on every day in slaughterhouses. … I want people to know that you can still be fit and have curves living a vegetarian lifestyle. … [I have been a vegetarian] since I was little girl. I grew up on a ranch and animals were my pets.”

Bonnie-Jill Laflin (1976) American actor, model

“NBA scout Bonnie-Jill Laflin poses for PETA ad,” interview with ESPN's Page 2 (April 2011) http://www.espn.com/espn/page2/index/_/id/6403093.

People , Health , Education , Girl

“Sandy Koufax. Sandy was a special problem for me because he possessed exceptional control, speed and a great curve ball. He was highly disciplined, extremely committed and a very private person. These qualities enabled him to concentrate on his profession without a lot of unnecessary distractions.”

Ernie Banks (1931–2015) American baseball player and coach

Responding to the question, "Who was the toughest pitcher you faced during your career, and why was he a special problem for you?"; as quoted in "Hall of Famers Name Their Toughest Diamond Foes" by William Guilfoile, in The 1991 National Baseball Hall of Fame and Museum Yearbook; reprinted in Baseball Digest (August 1992), p. 28

Problem , Personality , Speed