„Hippocrates… is said to have proved the theorem that circles are to one another as the squares on their diameters, and it is difficult to see how he could have done this except by some form, or anticipation, of the method“

of exhaustion
Achimedes (1920)

Última atualização 22 de Maio de 2020. História
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Thomas Little Heath46
British civil servant and academic 1861 - 1940

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

—  Jean-Étienne Montucla French mathematician 1725 - 1799

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."

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„How can a man be said to have a country where he has no right to a square inch of soil…“

—  Henry George American economist 1839 - 1897

Fonte: Social Problems (1883), Ch. 2 : Political Dangers

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„History can predict nothing except that great changes in human relationships will never come about in the form in which they have been anticipated.“

—  Johan Huizinga Dutch historian 1872 - 1945

De historie kan niets voorspellen, behalve één ding: dat geen groote wending in de menschelijke verhoudingen ooit uitkomt in den vorm, waarin vroeger levenden zich haar hebben kunnen verbeeld.
Fonte: In the Shadow of Tomorrow (1936), Ch. 20.

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„When he was praised by some wicked men, he said, "I am sadly afraid that I must have done some wicked thing."“

—  Diogenes Laërtius biographer of ancient Greek philosophers 180 - 240

Antisthenes, 4.
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„A great deal of beauty is rapture. A circle is a necessity. Otherwise you would see no one. We each have our circle.“

—  Gertrude Stein American art collector and experimental writer of novels, poetry and plays 1874 - 1946

"A Circular Play," from Last Operas and Plays (1949) [written in 1920]
Contexto: A beauty is not suddenly in a circle. It comes with rapture. A great deal of beauty is rapture. A circle is a necessity. Otherwise you would see no one. We each have our circle.

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„I propose this theorem to be proved or problem to be solved. If they succeed in discovering the proof or solution, they will acknowledge that questions of this kind are not inferior to the more celebrated ones from geometry either for depth or difficulty or method of proof“

—  Pierre de Fermat French mathematician and lawyer 1601 - 1665

Letter to Frénicle (1657) Oeuvres de Fermat Vol.II as quoted by Edward Everett Whitford, The Pell Equation http://books.google.com/books?id=L6QKAAAAYAAJ (1912)
Contexto: There is scarcely any one who states purely arithmetical questions, scarcely any who understands them. Is this not because arithmetic has been treated up to this time geometrically rather than arithmetically? This certainly is indicated by many works ancient and modern. Diophantus himself also indicates this. But he has freed himself from geometry a little more than others have, in that he limits his analysis to rational numbers only; nevertheless the Zetcica of Vieta, in which the methods of Diophantus are extended to continuous magnitude and therefore to geometry, witness the insufficient separation of arithmetic from geometry. Now arithmetic has a special domain of its own, the theory of numbers. This was touched upon but only to a slight degree by Euclid in his Elements, and by those who followed him it has not been sufficiently extended, unless perchance it lies hid in those books of Diophantus which the ravages of time have destroyed. Arithmeticians have now to develop or restore it. To these, that I may lead the way, I propose this theorem to be proved or problem to be solved. If they succeed in discovering the proof or solution, they will acknowledge that questions of this kind are not inferior to the more celebrated ones from geometry either for depth or difficulty or method of proof: Given any number which is not a square, there also exists an infinite number of squares such that when multiplied into the given number and unity is added to the product, the result is a square.

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„This new form of communication could have some utility.“

—  Guglielmo Marconi Italian inventor and radio pioneer 1874 - 1937

Marconi, 1899: Cited in: Simon Saunders, ‎Alejandro Aragón-Zavala (2007) Antennas and Propagation for Wireless Communication. p. 361

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„When Thales was asked what was difficult, he said, "To know one’s self." And what was easy, "To advise another."“

—  Diogenes Laërtius biographer of ancient Greek philosophers 180 - 240

Thales, 9.
The Lives and Opinions of Eminent Philosophers (c. 200 A.D.), Book 1: The Seven Sages

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