Triangle Quotes
New York is one of the capitals of the world and Los Angeles is a constellation of plastic, San Francisco is a lady, Boston has become Urban Renewal, Philadelphia and Baltimore and Washington wink like dull diamonds in the smog of Eastern Megalopolis, and New Orleans is unremarkable past the French Quarter. Detroit is a one-trade town, Pittsburgh has lost its golden triangle, St. Louis has become the golden arch of the corporation, and nights in Kansas City close early. The oil depletion allowance makes Houston and Dallas naught but checkerboards for this sort of game. But Chicago is a great American city. Perhaps it is the last of the great American cities.
Norman Mailer
Pearl Harbor is a two-hour movie squeezed into three hours, about how on December 7, 1941, the Japanese staged a surprise attack on an American love triangle. Its centerpiece is 40 minutes of redundant special effects, surrounded by a love story of stunning banality. The film has been directed without grace, vision, or originality, and although you may walk out quoting lines of dialog, it will not be because you admire them.
Roger Ebert
To appreciate the nature of fractals, recall Galileo's splendid manifesto that "Philosophy is written in the language of mathematics and its characters are triangles, circles and other geometric figures, without which one wanders about in a dark labyrinth." Observe that circles, ellipses, and parabolas are very smooth shapes and that a triangle has a small number of points of irregularity. Galileo was absolutely right to assert that in science those shapes are necessary. But they have turned out not to be sufficient, "merely" because most of the world is of infinitely great roughness and complexity. However, the infinite sea of complexity includes two islands: one of Euclidean simplicity, and also a second of relative simplicity in which roughness is present, but is the same at all scales.
Benoît Mandelbrot
To me the most important thing in composition is disparity. Thus black and white are the strong colors, with a spot of red to mark the other corner of a triangle which is by no means equilateral, isosceles, or right. To vary this still further use yellow, then, later, blue. Anything suggestive of symmetry is decidedly undesirable, except possibly where an approximate symmetry is used in a detail to enhance the inequality with the general scheme.
Alexander Calder
[Relativist] Rel. There is a well-known proposition of Euclid which states that "Any two sides of a triangle are together greater than the third side." Can either of you tell me whether nowadays there is good reason to believe that this proposition is true?
[Pure Mathematician] Math. For my part, I am quite unable to say whether the proposition is true or not. I can deduce it by trustworthy reasoning from certain other propositions or axioms, which are supposed to be still more elementary. If these axioms are true, the proposition is true; if the axioms are not true, the proposition is not true universally. Whether the axioms are true or not I cannot say, and it is outside my province to consider.
Arthur Eddington
Perhaps there is nobody who would sacrifice his life for the sake of maintaining that the three angles of a triangle are together equal to two right angles, for such a truth does not demand the sacrifice of our life; but, on the other hand, there are many who have lost their lives for the sake of maintaining their religious faith. Indeed, it is truer to say that martyrs make faith than that faith makes martyrs. For faith is not the mere adherence of the intellect to an abstract principle; it is not the recognition of a theoretical truth, the process in which the will merely sets in motion our faculty of comprehension; faith is an act of the will - it is a movement of the soul towards a practical truth, towards a person, towards something that makes us not merely comprehend life, but that makes us live.
Miguel de Unamuno
Had some inscrutable decree of fate ordained and made it certain, with a certainty not to be disturbed, that no candidate could be returned to Parliament who would not assert the earth to be triangular, there would rise immediately a clamorous assertion of triangularity among political aspirants. The test would be innocent. Candidates have swallowed, and daily do swallow, many a worse one. As might be this doctrine of a great triangle, so is the doctrine of Home Rule. Why is a gentleman of property to be kept out in the cold by some O'Mullins because he will not mutter an unmeaning shibboleth? "Triangular? Yes, or lozenge-shaped, if you please; but, gentleman, I am the man for Tipperary."
Anthony Trollope
Everybody knows that the great reversed triangle of land, with its base in the north and its apex in the south, which is called India, embraces fourteen hundred thousand square miles, upon which is spread unequally a population of one hundred and eighty millions of souls. The British Crown exercises a real and despotic dominion over the larger portion of this vast country, and has a governor-general stationed at Calcutta, governors at Madras, Bombay, and in Bengal, and a lieutenant-governor at Agra.But British India, properly so called, only embraces seven hundred thousand square miles, and a population of from one hundred to one hundred and ten millions of inhabitants. A considerable portion of India is still free from British authority; and there are certain ferocious rajahs in the interior who are absolutely independent.
Jules Verne
The doctrine of Right and Wrong, is perpetually disputed, both by Pen and the Sword: Whereas the doctrine of Lines, and Figures, is not so; because men care not, in that subject what be truth, as a thing that crosses no mans ambition, profit, or lust. For I doubt not, but if it had been a thing contrary to any mans right of dominion, or to the interest of men that have dominion, That the three Angles of a Triangle, should be equall to two Angles of a Square; that doctrine should have been, if not disputed, yet by the burning of all books of Geometry, suppressed, as far as he whom it concerned was able.
Thomas Hobbes
The debate regarding which individual factor, among the three key factors producing the environmental crisis, causes more damage - the size of the human population on the planet, excessive consumption of resources or unequal/ unjust distribution of resources among countries [the wealthier countries consume much more resources than poorer countries] - is like a debate about which contributes more to a triangle, the base or the ribs of the triangle. You can not separate the three factors. If we analyze the numbers over a relatively longer time interval, we will conclude that the size of the population has a bigger impact than consumption. On the other hand, consumption and unequal distribution are also important aspects. If we do not change these three factors all at the same time, the quality of our life will change dramatically. Today humanity is delivering a serious blow to nature, but it is clear that nature will deliver the final blow.
Paul R. Ehrlich