Quotes about square
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“We got email today from an LGF reader who was browsing the Lexis research system and discovered that anti-American, anti-capitalist icon Noam Chomsky has embarrassingly capitalist tastes; among other expensive property he owns a 36,155 square foot home near Cambridge, a 13,503 square foot vacation home, and four boats. And we won’t even mention the cars. Teaching kids to hate their own country seems to pay quite well.”

Charles Foster Johnson (1953) American musician

July 23, 2002 http://www.littlegreenfootballs.com/weblog/?entry=3577&only

Hate, Cars, Home, Country

“Modern human beings since their beginnings have been moved by the faith that the mastery of nature would lead to the overcoming of hunger and labour, disease and war on so widespread a scale that at last we could build the world-wide society of free and equal people. One must never think about technological destiny without looking squarely at the justice in those hopes. Let none of us who live in the well-cushioned west speak with an aesthetic tiredness about our 'worldliness.”

George Grant (1918–1988) Canadian philosopher

Technology and Justice (Notre Dame: 1986), p. 15

Hunger, War, People, World

“The nobility… of the Argentine people, in this square and all the country’s squares, causes us to offer our hand to the adversary, but this must not be taken as weak- ness. If it is necessary, the people, whose feelings I try to interpret as President of the nation, will be ready… to offer a hand, a gesture of peace with nobility and in a gesture of peace with honour, but they will also be ready to teach a lesson to anyone who dares to touch a square metre of Argentine territory.”

Leopoldo Galtieri (1926–2003) Argentine military dictator

Speech https://teachwar.wordpress.com/resources/war-justifications-archive/falklandsmalvinas-war-1982/#arg5, 10 April 1982

People, Peace, Feeling, Country

“As part of the spring ritual of National Poetry Month, poets are symbolically dragged into the public square in order to be humiliated with the claim that their product has not achieved sufficient market penetration and must be revived by the Artificial Resuscitation Foundation (ARF) lest the art form collapse from its own incompetence, irrelevance, and as a result of the general disinterest among the broad masses of the American People. The motto of ARF's National Poetry Month is: "Poetry's not so bad, really."”

Charles Bernstein (1950) American writer

" Against National Poetry Month As Such http://www.press.uchicago.edu/Misc/Chicago/044106.html", from My Way: Speeches and Poems, 1999, University Of Chicago Press, ISBN 0226044092

People, Art, Spring, Parting

“The Arithmetica… is deficient, sometimes pardonably, sometimes without excuse, in generalization. The book of Porismata, to which Diophantus sometimes refers, seems on the other hand to have been entirely devoted to the discussion of general properties of numbers. It is three times expressly quoted in the Arithmetica… Of all these propositions he says… 'we find it in the Porisms'; but he cites also a great many similar propositions without expressly referring to the Porisms. These latter citations fall into two classes, the first of which contains mere identities, such as the algebraical equivalents of the theorems in Euclid II…. The other class contains general propositions concerning the resolution of numbers into the sum of two, three or four squares…. It will be seen that all these propositions are of the general form which ought to have been but is not adopted in the Arithmetica. We are therefore led to the conclusion that the Porismata, like the pamphlet on Polygonal Numbers, was a synthetic and not an analytic treatise. It is open, however, to anyone to maintain the contrary, since no proof of any porism is now extant.”

James Gow (scholar) (1854–1923) scholar

p, 125
A Short History of Greek Mathematics (1884)

Books, Quotes, Time

“There's one thing in baseball that always gets my goat and that's the intentional pass. It isn't fair to the batter. It isn't fair to his club. It's a raw deal for the fans and it isn't baseball. By "baseball," I mean good square American sportsmanship because baseball represents America in sport. If we get down to unfair advantages in our national game we are putting out a mighty bad advertisement.”

Babe Ruth (1895–1948) American baseball player

From "Babe Speaks His Mind Anent the Deliberate Pass," http://archives.chicagotribune.com/1920/08/14/page/7/ by Ruth (as told to Pegler), in The Chicago Tribune (August 14, 1920), p. 7; reprinted as "The Intentional Pass," https://books.google.com/books?id=SAAlxi-0EZYC&pg=PA32 in Playing the Game: My Early Years in Baseball, p. 32

Game, Sport

“But the challenge must be faced squarely. I believe we can overcome it through our own efforts. We must do so. They key is our national power. Take courage from our national pride and traditions, no matter how thorny the road to independence may be.”

Park Chung-hee (1917–1979) Korean Army general and the leader of South Korea from 1961 to 1979

As quoted in Toward Peaceful Unification: Selected Speeches & Interviews https://books.google.com/books?id=nNc2AzJmwPoC&pg=PA3&dq=%22There+was+little,+if+any,+feeling+of+loyalty+toward+the+abstract+concept+of+Korea+as+a+nation-state%22&hl=en&sa=X&ei=IOkhVebpAYqWsAWOgILoCQ&ved=0CCgQ6AEwAg#v=onepage&q&f=false (1978), Kwangmyong Publishing Company, pp. 47-48. 1970s

Courage, Effort

“The Parliament of Toulouse burned 400 witches at one time. Four hundred women at one hour on the public square, dying the horrid death of fire for a crime which never existed save in the imagination of those persecutors and which grew in their imagination from a false belief in woman’s extraordinary wickedness, based upon a false theory as to original sin.”

Matilda Joslyn Gage (1826–1898) American abolitionist, writer

Source: Woman, Church and State (1893), p. 228

Death, Women, Imagination, Time

“Now, when our Lord was come to eighteen years,
The King commanded that there should be built
Three stately houses, one of hewn square beams
With cedar lining, warm for winter days;
One of veined marbles, cool for summer heat;
And one of burned bricks, with blue tiles bedecked,
Pleasant at seed-time, when the champaks bud--
Subha, Suramma, Ramma, were their names.
Delicious gardens round about them bloomed,
Streams wandered wild and musky thickets stretched,
With many a bright pavilion and fair lawn
In midst of which Siddartha strayed at will,
Some new delight provided every hour;
And happy hours he knew, for life was rich,
With youthful blood at quickest; yet still came
The shadows of his meditation back,
As the lake's silver dulls with driving clouds.”

Edwin Arnold book The Light of Asia

Book The Second.
The Light of Asia (1879)

Life, Happiness, Youth, Winter

“No one ever squared the circle with so much genius, or, excepting his principal object, with so much success.”

Jean-Étienne Montucla (1725–1799) French mathematician

Attributed to Montucla in Augustus De Morgan, A Budget of Paradoxes, (London, 1872), p. 96; Cited in: Robert Edouard Moritz. Memorabilia mathematica; or, The philomath's quotation-book, (1914) p. 366
About Gregory St. Vincent, described by De Morgan as "the greatest of circle-squarers, and his investigations led him into many truths: he found the property of the arc of the hyperbola which led to Napier's logarithms being called hyperbolic."

Success

“For all the conflicting views on this issue, it speaks well of our country that we recognize [abortion] as a problem. The [law] may call it a right, but no one ever called it a good, and, in the quiet of conscience people of both political parties know that more than a million abortions a year cannot be squared with the good heart of America.”

Mitt Romney (1947) American businessman and politician

[2005-07-26, Why I vetoed the contraception bill, Boston Globe]
2003–2007 Governor of Massachusetts

People, Law, Problem, Heart

“[Harry listening to car radio] …he resents being made to realise, this late, that the songs of his life were as moronic as the rock the brainless kids now feed on, or the Sixties and Seventies stuff that Nelson gobbled up – all of it designed for empty heads and overheated hormones, an ocean white with foam, and listening to it now is like trying to eat a double banana split the way he used to. It's all disposable, cooked up to turn a quick profit. They lead us down the garden path, the music manufacturers, then turn around and lead the next generation down with a slightly different flavour of glop.
Rabbit feels betrayed. He was reared in a world where war was not strange but change was: the world stood still so you could grow up in it. He knows when the bottom fell out. When they closed down Kroll's, Kroll's that had stood in the centre of Brewer all those years, bigger than a church, older than a courthouse, right at the head of Weiser Square there,… […] So when the system just upped one summer and decided to close Kroll's down, just because shoppers had stopped coming in because the downtown had become frightening to white people, Rabbit realised the world was not solid and benign, it was a shabby set of temporary arrangements rigged up for the time being, all for the sake of money. You just passed through, and they milked you for what you were worth, mostly when you were young and gullible. If Kroll's could go, the courthouse could go, the banks could go. When the money stopped, they could close down God himself.”

John Updike book Rabbit at Rest

Rabbit at Rest (1990)

Life, Money, God, War

“Yet gazed MANDALLA on the square
As she he sought still glided there,—
Oh that fond look, whose eyeballs’ strain,
And will not know its look is vain!
At length he turned,—his silent mood
Sought that impassioned solitude,
The Eden of young hearts, when first
Love in its loneliness is nurst.”

Letitia Elizabeth Landon (1802–1838) English poet and novelist

The Improvisatrice (1824)

Love, Mood, Solitude, Heart

“If in two ellipses having a common major axis we take two such arcs that their chords are equal, and that also the sums of the radii vectores, drawn respectively from the foci to the extremities of these arcs, are equal to each other, then the sectors formed in each ellipse by the arc and the two radii vectores are to each other as the square roots of the parameters of the ellipses.”

Johann Heinrich Lambert (1728–1777) German mathematician, physicist and astronomer

Sect. 4, Lemma 26, Insigniores orbitae cometarum proprietates (1761) [Notable properties of comets' orbits] translated by Florian Cajori, A History of Mathematics https://books.google.com/books?id=kqQPAAAAYAAJ (1906) p. 259, from the German of Michel Chasles, Geschichte der Geometrie, haupsächlich mit Bezug auf die neuern Methoden https://books.google.com/books?id=NgYHAAAAcAAJ (1839) p. 183.

“Unfortunately, it is impossible for me to stand in person with the protesters outside Rabaa al-Adaweya square to echo their legitimate demands … Egypt's current regime has ousted the first elected president in the country's history…There are limited options for those of us who care about Egypt's future: We can either side with civil values and democracy, or with military rule, tyranny, and coercion”

Tawakkol Karman (1979) Yemeni journalist, politician, human rights activist, and Nobel Peace Prize recipient

2010s, Morsy is the Arab World's Mandela (2013)

Democracy, History, Future, Personality

“The integrity of China was more important than [the people] in Tiananmen Square.”

Muammar Gaddafi (1942–2011) Libyan revolutionary, politician and political theorist

Televised address to the nation, quoted in guardian.co.uk (22 February 2011) " Gaddafi urges violent showdown and tells Libya 'I'll die a martyr' http://www.guardian.co.uk/world/2011/feb/22/muammar-gaddafi-urges-violent-showdown?INTCMP=ILCNETTXT3487" by Ian Black Speeches

People

“At the movies, we are gradually being conditioned to accept violence as a sensual pleasure. The directors used to say they were showing us its real face and how ugly it was in order to sensitize us to its horrors. You don't have to be very keen to see that they are now in fact desensitizing us. They are saying that everyone is brutal, and the heroes must be as brutal as the villains or they turn into fools. There seems to be an assumption that if you're offended by movie brutality, you are somehow playing into the hands of the people who want censorship. But this would deny those of us who don't believe in censorship the use of the only counterbalance: the freedom of the press to say that there's anything conceivably damaging in these films — the freedom to analyze their implications. If we don't use this critical freedom, we are implicitly saying that no brutality is too much for us — that only squares and people who believe in censorship are concerned with brutality. Actually, those who believe in censorship are primarily concerned with sex, and they generally worry about violence only when it's eroticized. This means that practically no one raises the issue of the possible cumulative effects of movie brutality. Yet surely, when night after night atrocities are served up to us as entertainment, it's worth some anxiety. We become clockwork oranges if we accept all this pop culture without asking what's in it. How can people go on talking about the dazzling brilliance of movies and not notice that the directors are sucking up to the thugs in the audience?”

Pauline Kael book Deeper into Movies

"Stanley Strangelove" (January 1972) http://www.visual-memory.co.uk/amk/doc/0051.html, review of A Clockwork Orange Deeper into Movies (1973)

People, Pleasure, Fools, Sex

“One night at Socko and a year of probation were no comparison to the punishment at home. My rehabilitation was one of the fastest in adolescent history. I had it coming, and it taught me that moral rehab is possible. I behaved during my term of probation and stopped all of my criminal activity. But I would always retain my strong impulse to challenge authority and to think and act on my own whenever possible. There is room for such types in America, even in the disciplined confines of the United States Army. I’m a big believer in the value of unconventional men and women. They are the innovators and risk takers. Apple, one of the world’s most creative and successful high-tech companies, lives by the vision of transformation through exception. “Here’s to the crazy ones,” Apple’s campaign says. “The misfits. The rebels. The troublemakers. The round pegs in the square holes. The ones who see things differently. They’re not fond of rules. And they have no respect for the status quo. You can quote them, disagree with them, glorify or vilify them. About the only thing you can’t do is ignore them. Because they change things. They push the human race forward. And while some may see them as the crazy ones, we see genius. Because the people who are crazy enough to think they can change the world, are the ones who do.” If you talk to my colleagues, they’ll tell you that I’m cut from the same cloth. My military biography starts badly. I was a miserable dropout in my freshman year of college (1.2 GPA), enlisted in a delayed-entry Marine Corps program, went to work as a lifeguard at a local beach, and then came the first of several miracles: an Army ROTC scholarship. Little did I know that my rebellious activities, such as skipping class and sundry other mistakes, would lead me to playing basketball (which I was very good at) with an ROTC instructor who saw something in me. Not only that, he took surprising initiative.”

Michael T. Flynn (1958) 25th United States National Security Advisor

Introduction
The Field of Fight: How We Can Win the Global War Against Radical Islam and Its Allies (2016)

Women, Men, People, World

“Amazingly, the religion of Buddhism denies that God even exists. It teaches that life and death are sort of an illusion. That’s like standing at the door of the plane and saying, “I’m not really here, and there’s no such thing as the law of gravity, and no ground that I’m going to hit.” That may temporarily help you deal with your fears, but it doesn’t square with reality. And it doesn’t deal with your real problem of having sinned against God and the reality of hell.”

Ray Comfort (1949) New Zealand-born Christian minister and evangelist

The Origin of Species: 150th Anniversary Edition (2009)

Life, Death, God, Fear

“Give me such evidence as would justify me in believing in anything else and I will believe that. Why should I not? It is not half so wonderful as the conservation of force, or the indestructibility of matter. Whoso clearly appreciates all that is implied in the falling of a stone can have no difficulty about any doctrine simply on account of its marvelousness But the longer I live, the more obvious it is to me that the most sacred act of a man's life is to say and to feel, 'I believe such and such to be true.' All the greatest rewards and all the heaviest penalties of existence cling about that act. The universe is one and the same throughout; and if the condition of my success in unraveling some little difficulty of anatomy or physiology is that I shall rigorously refuse to put faith in that which does not rest on sufficient evidence, I cannot believe that the great mysteries of existence will be laid open to me on other terms…. I know what I mean when I say I believe in the law of the inverse squares, and I will not rest my life and hopes upon weaker convictions. I dare not if I would.”

Thomas Henry Huxley (1825–1895) English biologist and comparative anatomist

1860s, Reply to Charles Kingsley (1860)

Life, Faith, Law, Penalty

“For the women who mourn their dead in the secret night,
For the children taught to keep quiet, the old children,
The children spat-on at school.
For the wrecked laboratory,
The gutted house, the dunged picture, the pissed-in well
The naked corpse of Knowledge flung in the square
And no man lifting a hand and no man speaking.”

Stephen Vincent Benét (1898–1943) poet, short story writer, novelist

Litany for Dictatorships (1935)

Women, Children, Secret, School

“The words of the great French anthem rang out over the town square, sung for the first time by liberated Frenchmen in the free capital of Normandy and sung with such a feeling of life and warmth as has not been heard in France for four years.”

Larry LeSueur (1909–2003) American journalist

Life, Feeling, Time

“Though it is often assumed that naturalism must be hostile to religion, the opposite is true. Enemies of religion think of it as an intellectual error, which humanity will eventually grow out of. It is hard to square this view with Darwinian science – why should religion be practically universal, if it has no evolutionary value?”

John Gray (1948) British philosopher

Sweet Morality (p. 224)
The Immortalization Commission: The Strange Quest to Cheat Death (2011)

Hostility, Religion, Error, Nature

“O'Reilly: Mr. Silverman, it is a fact that Christianity is not a religion, it is a philosophy. If the government were saying that the Methodist religion, all right, deserves a special place in the public square, I will be on your side.
Silverman: So you are going to actually tell me on live television that Christianity is not a religion?
O'Reilly: Correct. It is a phil-o-so-phy.”

Bill O'Reilly (1949) American political commentator, television host and writer

2012-11-28
The O'Reilly Factor
Fox News
Television, quoted in * 2012-11-29
O'Reilly calls atheists fascists, claims Christianity not a religion
Michael
Stone
Examiner.com
http://www.examiner.com/article/o-reilly-calls-atheists-fascists-claims-christianity-not-a-religion
2012-12-12

Religion

“An innovative discussion of building empirical models and the fitting of surfaces to data. Introduces the general philosophy of response surface methodology, and details least squares for response surface work, factorial designs at two levels, fitting second-order models, adequacy of estimation and the use of transformation, occurrence and elucidation of ridge systems, and more. Some results are presented for the first time. Includes real-life exercises, nearly all with solutions.”

George E. P. Box (1919–2013) British statistician

Introduction, book summary
Empirical Model-Building and Response Surfaces (1987)

Life, Exercises, Time

“One of the great moral advances of the Enlightenment was abolishing torture. Its interesting to think how far we've come when we think about the fact that 300 years ago in every square of every civilized city, certainly in Europe, torturing people to death was not just that took place, but was something you would've taken your children to go and see on a Saturday afternoon. Right? I mean, that's what was happening. Now, the question is what did people learn, empirically, when they decided, "Oh gosh, drawing and quartering actually causes too much suffering; I think we'll put it out?" I mean, I don't think there's a fact that changed there that somebody had to realize. I think the example, by the way, is particularly important because while it shows that there can be moral progress, it also shows that it's absolutely not necessary, and there can also be moral regression, as in the case of the current administration. But I don't see that what's taking place somehow when Bush decides to legalize torture and thereby cancel one of the major achievements of the Enlightenment (Well he has! Right? I mean many of the achievements of the enlightenment, but that one in particular.) I don't see that what's happened is that there's something that he doesn't know. That he could somehow be tutored on.”

Susan Neiman (1955) American academic

Beyond Belief conference (November 2006)

Death, Children, People, Way

“Take the case of a famous problem which plays a great part in the history of Greek geometry, the doubling of the cube, or its equivalent, the finding of two mean proportionals in continued proportion between two given straight lines. …if all the recorded solutions are collected together, it is much easier to see the relations, amounting in some cases to substantial identity, between them, and to get a comprehensive view of the history of the problem. I have therefore dealt with this problem in a separate section of the chapter devoted to 'Special Problems,' and I have followed the same course with the other famous problems of squaring the circle and trisecting any angle.”

Thomas Little Heath (1861–1940) British civil servant and academic

A History of Greek Mathematics (1921) Vol. 1. From Thales to Euclid

History, Problem, Parting

“Despite the potential to lead us to new cures, the federal government has restricted funding for creating new cell lines – putting the burden of any future research squarely on the shoulders of the private sector. The consequences of this decision have not only driven thousands of scientists overseas in search of more money and greater opportunity – but also put the brakes on the march of medicine. I’ve always wondered how these legislators would act if their health – or their children’s health – was on the line and stem cell research might lead to a cure.”

Michael Bloomberg (1942) American businessman and politician, former mayor of New York City

http://mikebloomberg.com/en/issues/education/mayor_michael_bloomberg_delivers_slate_60_dinner_keynote_address_at_william_j_clinton_presidential_library
Stem Cell Research

Money, Children, Health, Search

“The time to stop those who would loosen and weaken the fabric of our government is before they begin. The time for Americans to range themselves firmly, squarely and uncompromisingly behind American ideals is now. The great body of our people have an abiding faith in their own country. The time has come when they should supplement that faith with action. The question is whether America will allow itself to be degraded into a communistic and socialistic state, or whether it will remain American. Those who want to continue to enjoy the high estate of American citizenship will resist all attempts to encroach upon their liberties by encroachment upon the power of the courts.”

Calvin Coolidge (1872–1933) American politician, 30th president of the United States (in office from 1923 to 1929)

1920s, Ordered Liberty and World Peace (1924)

People, Faith, Question, Time

“Vietnam is about halfway around the world from Washington. It's as large as the major European nations, with nearly 130,000 square miles… Its ancient recorded history goes back to 111 B. C… We entered (that country) with considerable ignorance.”

Barry Goldwater (1909–1998) American politician

Goldwater (1988)

World, History, Country

“Indeed. there is a whole section in the Old Testament which does not square with its dominant ideas. The Proverbs, to my mind the best part of the Bible, represents a non-Mosaic tradition. In its spirit, it is very different from the Pentateuch and the Prophets; its ethics is high; it represents a very different spiritual tradition, the tradition of Self-knowledge. Its teaching is mostly, anonymous; it has also a woman teacher… rather an exception in the Bible…”

Ram Swarup (1920–1998) Indian historian

Hindu View of Christianity and Islam (1992)

Idea, Knowledge, Teachers, Parting

“A strange calm has come over my feelings and disposition last two days. Feel a strong will to achieve something forming and growing. …Maybe I am squarely facing reality at last and am beginning to mature mentally.”

Virgil John Tangborn (1920–1944)

March 27, 1942

Feeling, Reality, Strong

“He was the more surprised to see that Sumner invited a renewal of old relations. He found himself treated almost confidentially. Not only was he asked to make a fourth at Sumner's pleasant little dinners in the house on La Fayette Square, but he found himself admitted to the Senator's study and informed of his views, policy and purposes, which were sometimes even more astounding than his curious gaps or lapses of omniscience.

On the whole, the relation was the queerest that Henry Adams ever kept up. He liked and admired Sumner, but thought his mind a pathological study. At times he inclined to think that Sumner felt his solitude, and, in the political wilderness, craved educated society; but this hardly told the whole story. Sumner's mind had reached the calm of water which receives and reflects images without absorbing them; it contained nothing but itself.”

Henry Adams (1838–1918) journalist, historian, academic, novelist

The Education of Henry Adams (1907)

Education, Thinking, Solitude, Study

“Vieta was the first algebraist after Ferrari to make any noteworthy advance in the solution of the biquadratic. He began with the type x^4 + 2gx^2 + bx = c, wrote it as x^4 + 2gx^2 = c - bx, added gx^2 + \frac{1}{4}y^2 + yx^2 + gy to both sides, and then made the right side a square after the manner of Ferrari. This method… requires the solution of a cubic resolvent.
Descartes (1637) next took up the question and succeeded in effecting a simple solution… a method considerably improved (1649) by his commentator Van Schooten. The method was brought to its final form by Simpson”

David Eugene Smith (1860–1944) American mathematician

1745
Source: History of Mathematics (1925) Vol.2, p.469

Question

“For Space, when the position of points is expressed by rectilinear co-ordinates, ds = \sqrt{ \sum (dx)^2 }; Space is therefore included in this simplest case. The next case in simplicity includes those manifoldnesses in which the line-element may be expressed as the fourth root of a quartic differential expression…. I restrict myself… to those manifoldnesses in which the line element is expressed as the square root of a quadric differential expression…. Manifoldnesses in which, as in the Plane and in Space, the line-element may be reduced to the form \sqrt{ \sum (dx)^2 }, are… only a particular case of the manifoldnesses to be here investigated; they require a special name, and therefore these manifoldnesses… I will call flat. In order now to review the true varieties of all the continua which may be represented in the assumed form, it is necessary to get rid of difficulties arising from the mode of representation, which is accomplished by choosing the variables in accordance with a certain principle.”

Bernhard Riemann (1826–1866) German mathematician

On the Hypotheses which lie at the Bases of Geometry (1873)

“Let us imagine that from any given point the system of shortest lines going out from it is constructed; the position of an arbitrary point may then be determined by the initial direction of the geodesic in which it lies, and by its distance measured along that line from the origin. It can therefore be expressed in terms of the ratios dx0 of the quantities dx in this geodesic, and of the length s of this line. …the square of the line-element is \sum (dx)^2 for infinitesimal values of the x, but the term of next order in it is equal to a homogeneous function of the second order… an infinitesimal, therefore, of the fourth order; so that we obtain a finite quantity on dividing this by the square of the infinitesimal triangle, whose vertices are (0,0,0,…), (x1, x2, x3,…), (dx1, dx2, dx3,…). This quantity retains the same value so long as… the two geodesics from 0 to x and from 0 to dx remain in the same surface-element; it depends therefore only on place and direction. It is obviously zero when the manifold represented is flat, i. e., when the squared line-element is reducible to \sum (dx)^2, and may therefore be regarded as the measure of the deviation of the manifoldness from flatness at the given point in the given surface-direction. Multiplied by -¾ it becomes equal to the quantity which Privy Councillor Gauss has called the total curvature of a surface. …The measure-relations of a manifoldness in which the line-element is the square root of a quadric differential may be expressed in a manner wholly independent of the choice of independent variables. A method entirely similar may for this purpose be applied also to the manifoldness in which the line-element has a less simple expression, e. g., the fourth root of a quartic differential. In this case the line-element, generally speaking, is no longer reducible to the form of the square root of a sum of squares, and therefore the deviation from flatness in the squared line-element is an infinitesimal of the second order, while in those manifoldnesses it was of the fourth order. This property of the last-named continua may thus be called flatness of the smallest parts. The most important property of these continua for our present purpose, for whose sake alone they are here investigated, is that the relations of the twofold ones may be geometrically represented by surfaces, and of the morefold ones may be reduced to those of the surfaces included in them…”

Bernhard Riemann (1826–1866) German mathematician

On the Hypotheses which lie at the Bases of Geometry (1873)

Imagination, Parting, Dependency

“I had not thought of this regular decrease of gravity, namely that it is as the inverse square of the distance; this is a new and highly remarkable property of gravity.”

Christiaan Huygens (1629–1695) Dutch mathematician and natural philosopher

(1691) quoted in Popular Astronomy, Vol. 56 (1948), pp. 189–190.

“Our understanding of how markets and businesses operate was passed down to us more than a century ago by a handful of European economists — Alfred Marshall in England and a few of his contemporaries on the continent. It is an understanding based squarely upon the assumption of diminishing returns: products or companies that get ahead in a market eventually run into limitations, so that a predictable equilibrium of prices and market shares is reached. The theory was roughly valid for the bulk-processing, smokestack economy of Marshall’s day. And it still thrives in today’s economics textbooks. But steadily and continuously in this century, Western economies have undergone a transformation from bulk - material manufacturing to design and use of technology — from processing of resources to processing of information, from application of raw energy to application of ideas. As this shift has occurred, the underlying mechanisms that determine economic behavior have shifted from ones of diminishing to ones of increasing returns.”

W. Brian Arthur (1946) American economist

Arthur, W. Brian. "Increasing Returns and the New World of Business." Harvard business review 74.4 (1996): p. 100

Behavior, Idea, Understanding, Business

“Jason squared his shoulders, drew the Sword of - I couldn't give a toss what it's supposed to be called, he said to himself, I shall call it Freckles - and took one step forward.”

Tom Holt (1961) British writer

Ye Gods! (1992)

“How did the party go in Portman Square?
I cannot tell you; Juliet was not there.
And how did Lady Gaster's party go?
Juliet was next me and I do not know.”

Hilaire Belloc (1870–1953) writer

"Juliet", Sonnets and Verse (1954)

“It was a bright September afternoon, and the streets of New York were brilliant with moving men…. He was pushed toward the ticket-office with the others, and felt in his pocket for the new five-dollar bill he had hoarded…. When at last he realized that he had paid five dollars to enter he knew not what, he stood stock-still amazed…. John… sat in a half-maze minding the scene about him; the delicate beauty of the hall, the faint perfume, the moving myriad of men, the rich clothing and low hum of talking seemed all a part of a world so different from his, so strangely more beautiful than anything he had known, that he sat in dreamland, and started when, after a hush, rose high and clear the music of Lohengrin's swan. The infinite beauty of the wail lingered and swept through every muscle of his frame, and put it all a-tune. He closed his eyes and grasped the elbows of the chair, touching unwittingly the lady's arm. And the lady drew away. A deep longing swelled in all his heart to rise with that clear music out of the dirt and dust of that low life that held him prisoned and befouled. If he could only live up in the free air where birds sang and setting suns had no touch of blood! Who had called him to be the slave and butt of all?… If he but had some master-work, some life-service, hard, aye, bitter hard, but without the cringing and sickening servility…. When at last a soft sorrow crept across the violins, there came to him the vision of a far-off home — the great eyes of his sister, and the dark drawn face of his mother…. It left John sitting so silent and rapt that he did not for some time notice the usher tapping him lightly on the shoulder and saying politely, 'will you step this way please sir?'… The manager was sorry, very very sorry — but he explained that some mistake had been made in selling the gentleman a seat already disposed of; he would refund the money, of course… before he had finished John was gone, walking hurriedly across the square… and as he passed the park he buttoned his coat and said, 'John Jones you're a natural-born fool.”

W.E.B. Du Bois book The Souls of Black Folk

Then he went to his lodgings and wrote a letter, and tore it up; he wrote another, and threw it in the fire....
Source: The Souls of Black Folk (1903), Ch. XIII: Of the Coming of John

Life, Men, Money, World

“One of the great strengths of America is our active public square. Issues are influenced by the will of the people. That is why an educated citizenry is so important to the success of our country. As SMU graduates, you are well-equipped to participate in these vital debates. My hope is that you speak out on the issues that matter to you. Participate in your Nation’s civic life as citizens, not spectators. You’ll come to learn that who you are is more important than what you have—and that you have responsibilities to your fellow citizens, your country, and your family. By taking part in American democracy, you will make our country stronger.”

George W. Bush (1946) 43rd President of the United States

2010s, 2015, Remarks at the SMU 100th Spring Commencement (May 2015)

Life, People, Education, Family

“One could go on forever as to whether the paint should be thick or thin, whether to paint the woman or the square, hard-edge or soft, but after a while such questions become a bore. They are merely problems in aesthetics, having only to do with the outer man. But the painting I have in mind, painting in which inner and outer are inseparable, transcends technique, transcends subjects and moves into the realm of the inevitable.”

Lee Krasner (1908–1984) American artist

Source: Barbara Rose, ‎Lee Krasner, ‎Museum of Fine Arts, Houston (1983) Lee Krasner: a retrospective. p. 134.

Question, Problem, Painting

“When, about fifteen years ago, I walked into Arshile's studio for the first time, the atmosphere was so beautiful that I got a little dizzy and when I came to, I was bright enough to take the hint immediately. If the bookkeepers think it necessary to make sure of where things and people came from, well then, I came from 36 Union Square [address of the studio of Gorky that time]... I am glad that it is about impossible to get away from his powerful influence.”

Willem de Kooning (1904–1997) Dutch painter

ART news, Vol. 47, no 9, January 1949
1940's

People, Beauty, Thinking, Time

“Let me close by reminding you of what Newton actually did on the day that he conceived G = k \frac{mm'}{r^2}. …Newton did not have any subsidies, grants, funds, Secret Service money. But he had the moon. He said, "… I cannot throw a ball round the world, but let me picture the moon as if it were a ball which has been flung around the world… How long will it take to go round the world?" …He knew the value of gravity at the earth's surface …but he did not know the value of the earth's gravity for the moon. He said, "Let us suppose that it is given by an inverse square law. Now, how long will it take the moon to go around?"”

Jacob Bronowski (1908–1974) Polish-born British mathematician

It comes out at twenty-eight days. As Newton said, "They agreed pretty nearly."
The Origins of Knowledge and Imagination (1978)

Money, Secret, World, Law

“That reminded John Paul of what Andrew had said when he was teaching him to play chess. “You have to think ahead, the next move, the next move, the next move, to see where it’s all going to lead.” John Paul understood the principle as soon as Andrew explained it. But he stopped playing chess anyway, because he didn’t care what happened to little plastic figures on a board of sixty-four squares.”

Orson Scott Card Ender's Game hexalogy

Page 53
Ender's Game series, First Meetings in the Enderverse (2003), The Polish Boy

Thinking

“Is this the end? Is it to be merely a chapter in a cruel and senseless story? Will a new generation in their turn be immolated to square the black accounts of the Teuton and Gaul? Will our children bleed and gasp again in devastated lands? Or will there spring from the very fires of conflict that reconciliation of the three giant combatants, which would unite their genius and secure to each in safety and freedom a share in rebuilding the glory of Europe.”

Winston S. Churchill book The World Crisis

The World Crisis, 1916-1918 Part II : Chapter XXIII (Victory), Churchill, Butterworth (1927), p. 544.
Early career years (1898–1929)

Children, Spring, Freedom

“When I cover the square surface with rectangles, it lightens the weight of the square. Destroys its power.”

Agnes Martin (1912–2004) American artist

as quoted by Lucy R. Lippard, in 'Hommage to the Square', Art in America, July-August 1967, p. 55
This quote is one of the most frequently quoted statements of Agnes Martin. A later variation by her: 'The rectangle is pleasant, whereas the square is not'; Agnes Martin is than 89 - quoted in A House Divided: American Art Since 1955, Anne M. G. Wagner Univ. of California Press 2012, p. 263
1960's

“Car crime's low, the gun crime's lower,
The town hall band CD, it's a grower,
You never hear of folk getting knocked on the bonce,
Although there was a drive-by shouting once,
But there's a brass band everywhere,
And I don't drive so I don't care,
And as a nightingale sang in Berkeley Square,
What's Chatteris if you're not there?
For What Is Chatteris?, Achtung Bono”

Nigel Blackwell

2005
Lyrics

Cars

“Your insolence and ignorance of the rights conceded to workers universally in the modern world were incredible, and as great as your inhumanity. If you had between you collectively a portion of human soul as large as a threepenny bit, you would have sat night and day with the representatives of labour, trying this or that solution of the trouble, mindful of the women and children, who at least were innocent of wrong against you. But no! You reminded labour you could always have your three square meals a day while it went hungry.”

George William Russell (1867–1935) Irish writer, editor, critic, poet, and artistic painter

Open letter to the Masters of Dublin (1913)

Women, Children, World, Soul

“I’ve always resented the word maturity, primarily, I think, because it is most often used as a club. If you do something that someone doesn’t like, you lack maturity, regardless of the actual merits of your action. Too, it seems to me that what is most often called maturity is nothing more than disengagement from life. If you meet life squarely, you are likely to make mistakes, do things you wish you hadn’t, say things you wish you could retract or phrase more felicitously, and, in short, fumble your way along. Those “mature” people whose lives are even without a single sour note or a single mistake, who never fumble, manage only at the cost of original thought and original action. They do without the successes as well as the failures. This has never appealed to me and that is another reason I could never accept the common image of maturity that was presented to me.”

Alexei Panshin book Rite of Passage

Source: Rite of Passage (1968), Chapter 20 (p. 241).

Life, People, Way, Failure

“Soon after completing the 'La Combe' series [circa 1950] I had a dream in which I was assisted by many children on a scaffold, painting a huge mural made up of square panels fitted together. Each panel was being painted by a child very quickly in long black strokes with huge brushes. The work was done in seconds. Upon waking I immediately made a reminder sketch of the mural. Later I made a drawing of many ink strokes, which I cut up into twenty squares and placed at random in a four-by-five grid..”

Ellsworth Kelly (1923–2015) American painter, sculptor, and printmaker

as quoted in "Ellsworth Kelly", John Coplands; Harry N. Abrams, New York, 1971
1969 - 1980

Children, Dreams, Drawing, Painting

“The magnitude of crimes credited to Muslim monarchs by the medieval Muslim historians, was beyond measure. With a few exceptions, Muslim kings and commanders were monsters who stopped at no crime when it came to their Hindu subjects. But what strikes as more significant is the broad pattern of those crimes. The pattern is that of a jihãd in which the ghãzîs of Islam 1) invade infidel lands; 2) massacre as many infidel men, women, and children, particularly Brahmins, as they like after winning a victory; 3) capture the survivors to be sold as slaves; 4) plunder every place and person; 5) demolish idolatrous places of worship and build mosques in their places; and 6) defile idols which are flung into public squares or made into steps leading to mosques.”

Sita Ram Goel book The Story of Islamic Imperialism in India

The Story of Islamic Imperialism in India (1994)

Women, Men, Children, Victory

“Much of current academic teaching and research has been criticized for its lack of relevance, that is, of immediate practical impact… The trouble is caused, however, not by an inadequate selection of targets, but rather by our inability to hit squarely any one of them… The weak and all too slowly growing empirical foundations clearly cannot support the proliferating superstructure of pure, or should I say, speculative economic theory.”

Wassily Leontief (1906–1999) Russian economist

Source: "Theoretical assumptions and nonobserved facts," 1971, p. 1.

Support

“Stop the incitement in your media and your schools.
Stop naming public squares and athletic teams after suicide bombers.
And come to the negotiating table when you have prepared your people to forego hatred and renounce terrorism - and Israel will embrace you.
Until that day, there can be no peace with Hamas. Peace at any price isn't peace; it's surrender.”

Eric Cantor (1963) American politician

Eric Cantor (2011) cited in: " Leader Cantor's remarks to AIPAC http://web.archive.org/web/20110526083308/http://majorityleader.gov/newsroom/2011/05/leader-cantors-remarks-to-aipac.html" on majorityleader.gov, posted on May 22, 2011.

People, School, Peace, Suicide

“The Pythagoreans discovered the existence of incommensurable lines, or of irrationals. This was, doubtless, first discovered with reference to the diagonal of a square which is incommensurable with the side, being in the ratio to it of √2 to 1. The Pythagorean proof of this particular case survives in Aristotle and in a proposition interpolated in Euclid's Book X.; it is by a reductio ad absurdum proving that, if the diagonal is commensurable with the side, the same number must be both odd and even. This discovery of the incommensurable… showed that the theory of proportion invented by Pythagoras was not of universal application and therefore that propositions proved by means of it were not really established…. The fatal flaw thus revealed in the body of geometry was not removed till Eudoxus discovered the great theory of proportion (expounded in Euclid's Book V.), which is applicable to incommensurable as well as to commensurable magnitudes.”

Thomas Little Heath (1861–1940) British civil servant and academic

p, 125
Achimedes (1920)

Books, Universe

“Natural law is not applicable to the unseen world behind the symbols, because it is unadapted to anything except symbols, and its perfection is a perfection of symbolic linkage. You cannot apply such a scheme to the parts of our personality which are not measurable by symbols any more than you can extract the square root of a sonnet.”

Arthur Stanley Eddington (1882–1944) British astrophysicist

Source: Science and the Unseen World (1929), Ch. V, p.53

World, Law, Nature, Parting

“Are you all sitty comftybold two-square on your botty? Then I'll begin.”

Stanley Unwin (comedian) (1911–2002) British comedian

Ogden's Nut Gone Flake (Small Faces album, 1968)

“Representing the people of Oregon's Second District is an honor and a privilege. Covering more than 70,000 square miles in twenty counties throughout eastern, southern and central Oregon, our district is breathtaking and diverse.”

Greg Walden (1957) American politician

Greg Walden, Welcome Message http://walden.house.gov/index.cfm?FuseAction=AboutGregWalden.WelcomeMessage, United States House of Representatives, page, United States Congressman Greg Walden.

People

“A development method may be regarded as a path or a procedure by which the developer proceeds from a problem of a certain class to a solution of a certain class. In trivial cases, the method may be fully algorithmic; for example, there is an algorithmic procedure for obtaining the square root of a nonnegative number to any desired degree of accuracy.”

Michael A. Jackson (1936) British computer scientist

Michael A. Jackson. "A system development method," in: Tools and notions for program construction: An advanced course, Cambridge University Press, 1982. p. 1

Problem

“We scientists are clever — too clever — are you not satisfied? Is four square miles in one bomb not enough? Men are still thinking. Just tell us how big you want it!”

Richard Feynman (1918–1988) American theoretical physicist

note (c. 1945), quoted in Genius: The Life and Science of Richard Feynman (1992) by James Gleick, p. 204

Men, Thinking

“1,024 Colours in 4 Permutations'
In order to represent all extant colour shades in one painting, I worked out a system which – starting from the three primaries, plus grey – made possible a continual subdivision (differentiation) through equal gradations. 4 x 4 = 16 x 4 = 64 x 4 = 256 x 4 = 1,024. The multiplier 4 was necessary because I wanted to keep the image size, the square size and the number of squares in a constant proportion to each other. To use more than 1,024 tones (4,096, for instance) seemed pointless, since the difference between one shade and the next would no longer have been detectable.
The arrangement of the colours on the squares was done by a random process, to obtain a diffuse, undifferentiated overall effect, combined with stimulating detail. The rigid grid precludes the generation of figurations, although with an effort these can be detected. This aspect of artificial naturalism fascinates me – as does the fact that, if I had painted all the possible permutations, light would have taken more than 400 billion years to travel from the first painting to the last. I wanted to paint four large, colourful pictures.”

Gerhard Richter (1932) German visual artist, born 1932

Richter's quote from the catalog of a group exhibition in 'Palais des Beaux-Arts', Brussels, 1974
1970's

Travel, Nature, Effort, Light

“Pushing through the market square, so many mothers sighing
News had just come over, we had five years left to cry in.
News guy wept and told us, earth was really dying
Cried so much his face was wet, then I knew he was not lying.”

David Bowie (1947–2016) British musician, actor, record producer and arranger

Five Years
Song lyrics, The Rise and Fall of Ziggy Stardust and the Spiders from Mars (1972)

Guy, Lying, Cry

“In February 1917, it was found that a static solution with a positive curvature—the solution A—was not possible without the λ. In fact the curvature is proportional to λ (in solution A, λ is equal to the curvature; in B… it is three times the curvature). Thus, at the time when we had only the two static solutions A and B, and thought that these were the only possible ones, here was a plausible physical interpretation of the meaning of λ: it was the curvature of the world, and the square root of its reciprocal, the radius of curvature, could be conceived as providing a natural unit of length.”

Willem de Sitter (1872–1934) Dutch cosmologist

Kosmos (1932), Above is Beginning Quote of the Last Chapter: Relativity and Modern Theories of the Universe -->

World, Nature, Time

“Do they lie? Fervently. Do they steal? Only silver and gold. Do they remember? I am in constant touch. Hardly a day passes. The children. Some can’t spell, still. Took a walk in the light-manufacturing district, where everything’s been converted. Lots of little shops, wine bars. Saw some strange things. Saw a group of square steel plates arranged on a floor. Very interesting. Saw a Man Mountain Dean dressed in heavenly blue. Wild, chewing children. They were small. Petite. Out of scale. They came and went. Doors banging. They were of different sexes but wore similar clothes. Wandered away, then they wandered back. They’re vague, you know, they tell you things in a vague way. Asked me to leave, said they’d had enough. Enough what? I asked. Enough of my lip, they said. Although the truth was that I had visited upon them only the palest of apothegms—the one about the salt losing its savor, the one about the fowls of the air.”

Donald Barthelme book Sixty Stories

“Aria”.
Sixty Stories (1981)

Children, Truth, Lie, Sex

Tawakkol Karman (1979) Yemeni journalist, politician, human rights activist, and Nobel Peace Prize recipient

2010s, Egypt's coup has crushed all the freedoms won in the revolution (2013)

Confidence, Failure, Sense, Box

“During my testimony in May I said, “Some question why Americans should return to the Moon. “After all,” they say “we have already been there.” I find that mystifying. It would be as if 16th century monarchs proclaimed that “we need not go to the New World, we have already been there.” Or as if President Thomas Jefferson announced in 1803 that Americans “need not go west of the Mississippi, the Lewis and Clark Expedition has already been there.” Americans have visited and examined 6 locations on Luna, varying in size from a suburban lot to a small township. That leaves more than 14 million square miles yet to explore.”

Neil Armstrong (1930–2012) American astronaut; first person to walk on the moon

Letter to Robert Krulwich (2010)

World, Question

“For no reason at all, I thought of New Year's Eve, when all those people crowd into Times Square and scream like jackals as the lighted ball slides down the pole, ready to shed its thin party glare on three hundred and sixty-five new days in this best of all possible worlds. I have always wondered what it would be like to be caught in one of those crowds, screaming and not able to hear your own voice, your individuality momentarily wiped out and replaced with the blind empathic overslop of the crowd's lurching, angry anticipation, hip to hip and shoulder to shoulder with no one in particular.”

Stephen King book Rage

Rage (1977)

People, World, Light, Time

“I recommend [the students] that you should work actively at the Hermitage and study the artistic structures of Rubens, Rembrandt, Titian, Watteau, Poussin, and other painters, even Chardin, where he is an artist. Study very closely their dabbing manner of execution and try to copy a small piece of canvas, just one square inch.”

Kazimir Malevich (1879–1935) Russian and Soviet artist of polish descent

Quote in a letter of Malevich to his student Yudin, summer of 1924; as quoted in Marc Chagall – the Russian years 1906 – 1922, ed. By Christoph Vitali, exhibition catalogue, Schirn Kunsthalle Frankfurt, 1991, p. 66
1921 - 1930

Study

“With a few exceptions, lower population [density] means fewer problems [for survivalist retreats]. When the Schumer Hits the Fan, there will be a mass exodus from the cities. Think of it as an army that is spreading out across a battlefield: The wider they are spread, the less effective they are. The inverse-square law hasn’t been repealed.”

James Wesley Rawles (1960) Survivalist-fiction author and blogger

How to Survive the End of the World as We Know It, Plume, New York (2009)

Law, Problem, Thinking

“My so-called friends have fallen under a spell: they look me squarely in the eye and say, "Well; all is well."”

Bob Dylan (1941) American singer-songwriter, musician, author, and artist

Song lyrics, Slow Train Coming (1979), Precious Angel

“Rev. Dr. Thomas (delivered Mackenzie's eulogy) – “stood four square, to all the winds that blow.” (Buckingham and Ross 1892, p. 643, Tennyson’s Ode to the Death of the Duke of Wellington)”

Alexander Mackenzie (1822–1892) 2nd Prime Minister of Canada

His Character

Death

“We are living a moment of truth in Iraq, a moment in which we have to look fair and square at disagreeable realities, in which we have to look at ourselves. The pictures from Abu Ghraib prison are a kind of mirror in which we have to look at ourselves and ask: what kind of people did this? How did this become possible? Could I have done a thing like this to those people?”

Michael Ignatieff (1947) professor at Harvard Kennedy School and former Canadian politician

From "Living Fearlessly in a Fearless World" Ignatieff Commencement Address to Whitman College (USA), 2004

People, Truth, Reality

“A buzzard took the monkey for a ride in the air
The monkey thought that everything was on the square
The buzzard tried to throw the monkey off his back
But the monkey grabbed his neck and said — "Now listen, Jack…"
"Straighten up and fly right
Straighten up and fly right
Straighten up and fly right
Cool down, papa, don't you blow your top."”

Nat King Cole (1919–1965) American singer and jazz pianist

"Straighten Up And Fly Right" (1937) written with Irving Mills.

Flying

“One needn't be a Christian to be pro-life. Many pro-life people aren't. But a fundamental tenet of Christian faith is the profound, inherent & equal dignity and right to life of every member of the human family. That, in the end, simply cannot be squared with the pro-choice view.”

Robert P. George (1955) American legal scholar

Twitter post https://twitter.com/McCormickProf/status/941035451904856064 (13 December 2017) 2017

Life, People, Family, Faith

“A mine was dug, and in two or three days the walls fell down, and the fort of Multan was taken. Six thousand warriors were put to death, and all their relations and dependents were taken as slaves. Protection was given to the merchants, artisans and the agriculturists. Muhammad Kasim said the booty ought to be sent to the treasury of the Khalifa; but as the soldiers have taken so much pains, have suffered so many hardships, have hazarded their lives, and have been so long a time employed in digging the mine and carrying on the war, and as the fort is now taken, it is proper that the booty should be divided, and their dues given to the soldiers. Then all the great and principal inhabitants of the city assembled together, and silver to the weight of sixty thousand dirams was distributed and every horseman got a share of four hundred dirams weight. After this, Muhammad Kasim said that some plan should be devised for realizing the money to be sent to the Khalifa. He was pondering over this, when suddenly a Brahman came and said, 'Heathenism is now at an end, the temples are thrown down, the world has received the light of Islam, and mosques are built instead of idol temples. I have heard from the elders of Multan that in ancient times there was a chief in this city whose name was Jibawin, and who was a descendent of the Rai of Kashmir. He was a Brahman and a monk, he strictly followed his religion, and always occupied his time in worshipping idols. When his treasures exceeded all limits and computation, he made a reservoir on the eastern side of Multan, which was hundred yards square. In the middle of it he built a temple fifty yards square, and he made a chamber in which he concealed forty copper jars each of which was filled with African gold dust. A treasure of three hundred and thirty mans of gold was buried there. Over it there is an idol made of red gold, and trees are planted round the reservoir.'… It is related by historians, on the authority of… Ali bin Muhammad who had heard it from Abu Muhammad Hindui that Muhammad Kasim arose and with his counsellors, guards and attendants, went to the temple. He saw there an idol made of gold, and its two eye were bright red rubies… Muhammad Kasim ordered the idol to be taken up. Two hundred and thirty mans of gold were obtained, and forty jars filled with gold dust… This gold and the image were brought to treasury together with the gems and pearls and treasures which were obtained from the plunder of Multan.”

Muhammad bin Qasim (695–715) Umayyad general

Multan (Punjab) . The Chach Nama, in: Elliot and Dowson, Vol. I : Elliot and Dowson, History of India as told by its own Historians, 8 Volumes, Allahabad Reprint, 1964. pp. 205-06.
Quotes from The Chach Nama

Death, Money, Pain, War

“Justice to others and to ourselves is the same; that we cannot define our duties by mathematical lines ruled by the square, but must fill with them the great circle traced by the compasses”

Albert Pike book Morals and Dogma of the Ancient and Accepted Scottish Rite of Freemasonry

Source: Morals and Dogma of the Ancient and Accepted Scottish Rite of Freemasonry (1871), Ch. III : The Master, p. 72

Justice, Mathematics

“I found a cab eventually, and told the driver in fluent English that I wanted Wenceslas Square. This request, I now know, is phonically identical to the Czech phrase for ‘I am an air-brained tourist, please take everything I have’.”

Hugh Laurie book The Gun Seller

The Gun Seller (1996)

“A culture is no better than its woods,” Auden writes. Fortunately for him, a book of poetry can be better than its poems. Two-thirds of The Shield of Achilles is non-Euclidean needlepoint, a man sitting on a chaise longue juggling four cups, four saucers, four sugar lumps, and the round-square: this is what great and good poets do when they don’t even bother to write great and good poems, now that they’ve learned that—it’s Auden’s leitmotif, these days—art is essentially frivolous. But a little of the time Auden is essentially serious, and the rest of the time he’s so witty, intelligent, and individual, so angelically skillful, that one reads with despairing enthusiasm, and enjoys Auden’s most complacently self-indulgent idiosyncrasy almost as one enjoys Sherlock Holmes’s writing Victoria Rex on the wall in bullet holes.”

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

Kipling, Auden & Co: Essays and Reviews 1935-1964 (1980)

Books, Art, Angels, Intelligence

“I can feel the heat closing in, feel them out there making their moves, setting up their devil doll stool pigeons, crooning over my spoon and dropper I throw away at Washington Square Station, vault a turnstile and two flights down the iron stairs, catch an uptown A train…”

William S. Burroughs book Naked Lunch

Opening Chapter
Naked Lunch (1959)

Feeling, Training

“One thing leads to another, and soon you are searching for answers to basic questions.Another time during lectures on Classical Logic, we were introduced to an “experimentum crucis”. It was illustrated by the deciding experiment of Fizeau on the speed of light in water as compared to its speed in air. Since wave theory predicts that speed in water is less, and corpuscular theory (with point particles) predicts it would be faster, this is supposed to have selected the wave theory is correct. But then how would one accommodate the photoelectric effect? Then it turns out that if the “corpuscle” of light had a finite size, corpuscular theory also predicts lower speed of light in water. But then one can ask how come photoelectric emission being prompt even in feeble light, how could the energy of a photon spread over π(λ/2)2 act as a whole and liberate a single photoelectron! This leads us to question the square of the amplitude being interpreted as the probability of the particle being formed in the immediate vicinity. How do probabilities enter quantum mechanics? Thus the questions (and the quest) go on.”

E. C. George Sudarshan (1931–2018) Indian physicist

in A Glance Back at Five Decades of Scientific Research, published in Particles and Fields: Classical and Quantum, Journal of Physics: Conference Series 87 (2007), IOP Publishing, p. 1-2.

Search, Question, Light, Water

“Let us face squarely the paradox that the world which goes to war is a world, usually, genuinely desiring peace. War is the outcome, not mainly of evil intentions, but on the whole, of good intentions which miscarry or are frustrated. It is made, not usually by evil men knowing themselves to be wrong, but is the outcome of policies pursued by good men usually passionately convinced that they are right.”

Norman Angell (1872–1967) British politician

Peace and the Public Mind (1935)

Men, War, World, Peace

“America must be voluntarily chosen by its new citizens, or it will not represent their aspirations or satisfy their needs. The greater the freedom given for creative impulse and variation in expression, the richer will be the resultant American life. And in the future American ideals will have to be both more exalted and more practical than in the past, and its life will have to square more generally with them, because the lands from which these peoples come will be free from the yoke of oppression. Democracy being free for the world, they may then realize in many lands the dreams which to them once made America the only land where such dreams could come true.”

Frances Kellor (1873–1952) American sociologist

What is Americanization? (1919)

Life, People, World, Dreams

“Why should there be hunger and privation in any land, in any city, at any table when man has the resources and the scientific know-how to provide all mankind with the basic necessities of life? Even deserts can be irrigated and top soil can be replaced. We cannot complain of a lack of land, for there are twenty-five million square miles of tillable land, of which we are using less than seven million. We have amazing knowledge of vitamins, nutrition, the chemistry of food, and the versatility of atoms. There is no deficit in human resources; the deficit is in human will. The well-off and the secure have too often become indifferent and oblivious to the poverty and deprivation in their midst. The poor in our countries have been shut out of our minds, and driven from the mainstream of our societies, because we have allowed them to become invisible. Just as nonviolence exposed the ugliness of racial injustice, so must the infection and sickness of poverty be exposed and healed - not only its symptoms but its basic causes. This, too, will be a fierce struggle, but we must not be afraid to pursue the remedy no matter how formidable the task.”

Martin Luther King, Jr. (1929–1968) American clergyman, activist, and leader in the American Civil Rights Movement

1960s, The Quest for Peace and Justice (1964)

Life, Hunger, Food, Knowledge

“Towns should be laid out not as an exact square nor with salient angles, but in circular form, to give a view of the enemy from many points. Defense is difficult where there are salient angles because the angle protects the enemy rather than the inhabitants.”

Vitruvius book De architectura

Source: De architectura (The Ten Books On Architecture) (~ 15BC), Book I, Chapter V, Sec. 2

“(William Berger) was a guy who had everything. He was handsome, knew how to act. He could have gone all the way to the top. But he got mixed up with drugs. I got a couple of parts because he was busy or he was arrested. When I made that Crea film, Berger had just been arrested because somebody had left drugs in his place, on the Costa Amalfi. His wife died in prison. I didn't get along with him because he was too hippy or what they call it, and I'm square! I don't drink, I don't smoke, and that's the way it is…But I knew so many psychedelic sophisticates in the early 1950s in Paris, that I just have my problems with them.”

Donald O'Brien (actor) (1930–2003) Italian film and TV actor

Euro Trash Cinema magazine interview (March 1996)

Way, Guy, Drink, Business

“It's the story of a place called Mouseland. Mouseland was a place where all the little mice lived and played, were born and died. And they lived much the same as you and I do. They even had a Parliament. And every four years they had an election. Used to walk to the polls and cast their ballots. Some of them even got a ride to the polls. And got a ride for the next four years afterwards too. Just like you and me. And every time on election day all the little mice used to go to the ballot box and they used to elect a government. A government made up of big, fat, black cats. Now if you think it strange that mice should elect a government made up of cats, you just look at the history of Canada for last 90 years and maybe you'll see that they weren't any stupider than we are. Now I'm not saying anything against the cats. They were nice fellows. They conducted their government with dignity. They passed good laws--that is, laws that were good for cats. But the laws that were good for cats weren't very good for mice. One of the laws said that mouseholes had to be big enough so a cat could get his paw in. Another law said that mice could only travel at certain speeds--so that a cat could get his breakfast without too much physical effort. All the laws were good laws. For cats. But, oh, they were hard on the mice. And life was getting harder and harder. And when the mice couldn't put up with it any more, they decided something had to be done about it. So they went en masse to the polls. They voted the black cats out. They put in the white cats. Now the white cats had put up a terrific campaign. They said: "All that Mouseland needs is more vision." They said:"The trouble with Mouseland is those round mouseholes we got. If you put us in we'll establish square mouseholes." And they did. And the square mouseholes were twice as big as the round mouseholes, and now the cat could get both his paws in. And life was tougher than ever. And when they couldn't take that anymore, they voted the white cats out and put the black ones in again. Then they went back to the white cats. Then to the black cats. They even tried half black cats and half white cats. And they called that coalition. They even got one government made up of cats with spots on them: they were cats that tried to make a noise like a mouse but ate like a cat. You see, my friends, the trouble wasn't with the colour of the cat. The trouble was that they were cats. And because they were cats, they naturally looked after cats instead of mice. Presently there came along one little mouse who had an idea. My friends, watch out for the little fellow with an idea. And he said to the other mice, "Look fellows, why do we keep on electing a government made up of cats? Why don't we elect a government made up of mice?" "Oh," they said, "he's a Bolshevik. Lock him up!"”

Tommy Douglas (1904–1986) Scottish-born Canadian politician

So they put him in jail. But I want to remind you: that you can lock up a mouse or a man but you can't lock up an idea!
http://www.cbc.ca/player/Digital+Archives/Politics/Parties+and+Leaders/Tommy+Douglas/ID/1409090169/?sort=MostPopular

Life, Stupidity, Law, Travel

“The British army fought against other infantry arrayed in two ranks and every man could use his musket, and if cavalry threatened they marched and wheeled into a square of four ranks, and still every man could use his musket, but the soldiers at the heart of the two French columns could never fire without hitting the men in front.”

Bernard Cornwell (1944) British writer

Lieutenant Richard Sharpe, p. 226
Sharpe (Novel Series), Sharpe's Havoc (2003)

Men, Heart

“The same definition issue arises with the word “election.” In a free society, the day of the vote is the culmination of a long democratic process that depends on equal access to an unfettered media, fair conditions, debates, etc., none of which have existed in Russia for nearly 20 years. Postulating that Putin would win anyway even if the March 18 election were honest is a meaningless exercise. If he and his policies were truly popular, in the real sense of the word, he wouldn’t need to spend so much time and effort dominating the media, eliminating rivals, and rigging elections large and small. Persecuting bloggers and arresting a single protester standing in the town square with an anti-Putin sign does not strike me as the behavior of a ruler who believes in his own popularity.”

Garry Kasparov (1963) former chess world champion

2010s, The Truth About Putin (2018)

Behavior, Exercises, Sense, Effort

“Ah! I would be a Doctor! (…) Ah! Doctor! Doctor! Walking through the roads, through the streets, though the squares, through the rooms, receiving all the honors: "Doctor, what have you done today? How are you, doctor?"”

Lima Barreto (1881–1922) Brazilian writer

This feeling was simply divine!
Recordações do Escrivão Isaias Caminha (1909)

Feeling

“The Lieutenant Governor of Bengal was to the fullest extent responsible for not having made any preparation against the famine…The doctrines of political economy had been worshipped as a sort of "fetish" by officials who, because they believed that in the long run supply and demand would square themselves, seemed to have utterly forgotten that human life was short, and that men could not subsist without food beyond a few days. They mechanically left the laws of political economy to work themselves out while hundreds of thousands of human beings were perishing from famine.”

Robert Gascoyne-Cecil, 3rd Marquess of Salisbury (1830–1903) British politician

Speech http://hansard.millbanksystems.com/commons/1867/aug/02/motion-for-an-address in the House of Commons (2 August 1867) on the Orissa famine of 1866 1860s

Life, Men, Law, Food

“[Imlac continues] "It was never supposed that cogitation is inherent in matter, or that every particle is a thinking being. Yet, if any part of matter be devoid of thought, what part can we suppose to think? Matter can differ from matter only in form, density, bulk, motion, and direction of motion: to which of these, however varied or combined, can consciousness be annexed? To be round or square, to be solid or fluid, to be great or little, to be moved slowly or swiftly one way or another, are modes of material existence, all equally alien from the nature of cogitation. If matter be once without thought, it can only be made to think by some new modification, but all the modifications which it can admit are equally unconnected with cogitative powers."”

Samuel Johnson book The History of Rasselas, Prince of Abissinia

Source: The History of Rasselas, Prince of Abissinia (1759), Chapter 48

Way, Nature, Thinking, Parting

“It turns out that certain picture shapes don't allow you to use different kinds of quantity distributions of color for different expressions. The quantities and configurations of colors are as important as the colors themselves. When I first started painting circles, I went fairly quickly to a 6-foot square module. I think de Kooning said in an interview or artist's discussion that he only wanted to make gestures as big as his arm could reach. It struck me that he was saying this physical size had to do with the expressive size of the pictures he wanted to make. And as far as I know, when I got to the 6-foot square size, it was right in terms of myself and wasn't too much of a field. Or it was a field, yet it was still physical. And that's why I used it for so long.”

Kenneth Noland (1924–2010) American artist

Source: Color, Format and Abstract Art' (1977), pp. 99 – 105

Color, Thinking, Painting

“The White Protestant's ultimate sympathy must be with science, factology, and committee rather than with sex, birth, heat, flesh, creation, the sweet and the funky; they must vote, manipulate, control, and direct, these Protestants who are the center of power in our land, they must go for what they believe is reason when it is only the Square logic of the past.”

Norman Mailer book Advertisements for Myself

Advertisements for Myself (1959)

Sex, Birth, Science, Past

“Find a fraction which, multiplied by itself, shall give 6, or… find the square root of 6. This can be shown to be an impossible problem; for it can be shown that no fraction whatsoever multiplied by itself, can give a whole number, unless it be itself a whole number disguised in a fractional form, such as 4⁄2 or 21⁄3. To this problem, then, there is but one answer, that it is self-contradictory. But if we propose the following problem,—to find a fraction which, multiplied by itself, shall give a product lying between 6 and 6 + a; we find that this problem admits of solution in every case. It therefore admits of solution however small a may be… as small as you please.”

Augustus De Morgan (1806–1871) British mathematician, philosopher and university teacher (1806-1871)

...there is such a thing as the square root of 6, and it is denoted by √6. But we do not say we actually find this, but that we approximate to it.
The Differential and Integral Calculus (1836)

Lying, Problem

“In 1929 Oskar Klein stumbled into an apparent paradox when trying to describe the scattering of a relativistic electron by a square potential using Dirac’s wave equation. … In order to capture the essence of the problem without entering into unnecessary complication we will study Klein’s paradox in the context of the Klein– Gordon equation.”

Luis Álvarez-Gaumé Spanish physicist

Source: An Invitation to Quantum Field Theory (2012), Ch. 1 : Why Do We Need Quantum Field Theory After All?

Problem, Study

“It's my job not always to put square pegs in square holes but sometimes to put the odd square peg in a round hole.”

Phil Brown (footballer) (1959) English association football player and manager

7-Jan-2006, DCFC website
You're just going to have to work that one out for yourself.

“I am a mighty Garage,
On the corner of the Square,
And it is all my pleasure,
To provide a quick repair,
Or I can do your service,
In the blinking of an eye,
I wouldn't say it's thorough,
But it'll get you by.”

Pam Ayres (1947) English poet, songwriter and presenter of radio and television programmes

In Favour Of Pushing Your Car Over A Cliff And Buying A Bike...

Pleasure

“Already in 1915, Sophie Taeuber [his wife] divides the surface of her aquarelle into squares and rectangles which she then juxtaposes horizontally and perpendicularly [as Mondrian, Itten and Paul Klee did in the same period]. She constructs them as if they were masonry work. The colors are luminous, ranging from the raw yellow to deep red or blue.”

Hans Arp (1886–1966) Alsatian, sculptor, painter, poet and abstract artist

Source: 1960s, Jours effeuillés: Poèmes, essaies, souvenirs (1966), p. 288, Arp refers in this quote to the structure in the early watercolor paintings by his wife Sophie Taeuber.

Color

“Instead of designing an extension to the elegant facade of the National Gallery which complements it and continues the concept of columns and domes, it looks as if we may be presented with a kind of municipal fire station, complete with the sort of tower that contains the siren. I would understand better this type of high-tech approach if you demolished the whole of Trafalgar Square and started again with a single architect responsible for the entire layout, but what is proposed is like a monstrous carbuncle on the face of a much-loved and elegant friend.”

Charles, Prince of Wales (1948) son of Queen Elizabeth II of the United Kingdom

Prince of Wales' website http://www.princeofwales.gov.uk/speechesandarticles/a_speech_by_hrh_the_prince_of_wales_at_the_150th_anniversary_1876801621.html Speech at the 150th anniversary of the Royal Institute of British Architects, Royal Gala Evening at Hampton Court Palace, 30 May, 1984. The Prince had undoubtedly read "The Spencers on Spas" written the previous year by his step-mother-in-law, Raine, Countess Spencer, which included on page 14 the observation that "Monstrous carbuncles of concrete have erupted in gentle Georgian Squares". 1990s

Love, Understanding

Quotes about square page 3

Quotes about square
page 3