„The trisection of an angle was effected by means of a curve discovered by Hippias of Elis, the sophist, a contemporary of Hippocrates as well as of Democritus and Socrates. The curve was called the quadratrix because it also served (in the hands, as we are told, of Dinostratus, brother of Menæchmus, and of Nicomedes) for squaring the circle. It was theoretically constructed as the locus of the point of intersection of two straight lines moving at uniform speeds and in the same time, one motion being angular and the other rectilinear.“

p, 125
Achimedes (1920)

Obtido da Wikiquote. Última atualização 3 de Junho de 2021. História
Thomas Little Heath photo
Thomas Little Heath46
British civil servant and academic 1861 - 1940

Citações relacionadas

Immanuel Kant photo
Thomas Little Heath photo
Joan Robinson photo

„Time, so to say, runs at right angles to the page at each point on the curve.“

—  Joan Robinson English economist 1903 - 1983

Fonte: Economic Heresies (1971), Chapter VII, The Theory of the Firm, p. 104

Thomas Little Heath photo
James Jeans photo
Stephen Hawking photo
René Descartes photo
Antoni Gaudí photo

„The straight line belongs to Man. The curved line belongs to God.“

—  Antoni Gaudí Catalan architect 1852 - 1926

The real author seems to be Pierre Albert-Birot https://books.google.com/books?id=3Ul51CwjUOcC&pg=PA290&dq=%22the+curved+line+that+belongs+let%27s+say+to+God+and+the+straight+line+that+belongs+to+man%22&hl=de&sa=X&redir_esc=y#v=onepage&q=%22the%20curved%20line%20that%20belongs%20let%27s%20say%20to%20God%20and%20the%20straight%20line%20that%20belongs%20to%20man%22&f=false.

Roger Joseph Boscovich photo

„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 Croat-Italian physicist 1711 - 1787

"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.

Robert Henri photo
Hans Reichenbach photo
Hans Reichenbach photo
Tennessee Williams photo
Oscar Niemeyer photo

„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 Brazilian architect 1907 - 2012

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

Oscar Niemeyer photo
Leonardo Da Vinci photo
Phyllis Diller photo
Aristarchus of Samos photo
Bill James photo

Tópicos relacionados