— Immanuel Kant German philosopher 1724 - 1804

Kant's Inaugural Dissertation (1770), Section III On The Principles Of The Form Of The Sensible World

This then was the first step which led to a new branch of mathematics… I did not however realize how fruitful and how rich was the field that I had opened up; rather that result seemed scarcely worthy of note until it was combined with a related idea.“

Ausdehnungslehre (1844)

— Immanuel Kant German philosopher 1724 - 1804

Kant's Inaugural Dissertation (1770), Section III On The Principles Of The Form Of The Sensible World

— Michael Collins (Irish leader) Irish revolutionary leader 1890 - 1922

How could you talk to a man like that?

Referring to Eamon de Valera in conversation with Michael Hayes, at the debates over the Anglo-Irish Treaty in 1921

Michael Hayes Papers, P53/299, UCDA

Quoted in Doherty, Gabriel and Keogh, Dermot (2006). Michael Collins and the Making of the Irish State. Mercier Press, p. 153.

— George Peacock Scottish mathematician 1791 - 1858

Vol. I: Arithmetical Algebra Preface, p. iv

A Treatise on Algebra (1842)

— François Viète French mathematician 1540 - 1603

From Frédéric Louis Ritter's French Tr. Introduction à l'art Analytique (1868) utilizing Google translate with reference to English translation in Jacob Klein, Greek Mathematical Thought and the Origin of Algebra (1968) Appendix

In artem analyticem Isagoge (1591)

— Christian von Ehrenfels Austrian philosopher 1859 - 1932

Christian von Ehrenfels (1897, 3–4), as cited in: Robin Rollinger and Carlo Ierna, " Christian von Ehrenfels https://plato.stanford.edu/archives/win2016/entries/ehrenfels/", The Stanford Encyclopedia of Philosophy, Winter 2016 Edition, Edward N. Zalta (ed.)

— Carl Friedrich Gauss German mathematician and physical scientist 1777 - 1855

"Gauss's Abstract of the Disquisitiones Generales circa Superficies Curvas presented to the Royal Society of Gottingen" (1827) Tr. James Caddall Morehead & Adam Miller Hiltebeitel in General Investigations of Curved Surfaces of 1827 and 1825 http://books.google.com/books?id=SYJsAAAAMAAJ& (1902)

Kontext: In researches in which an infinity of directions of straight lines in space is concerned, it is advantageous to represent these directions by means of those points upon a fixed sphere, which are the end points of the radii drawn parallel to the lines. The centre and the radius of this auxiliary sphere are here quite arbitrary. The radius may be taken equal to unity. This procedure agrees fundamentally with that which is constantly employed in astronomy, where all directions are referred to a fictitious celestial sphere of infinite radius. Spherical trigonometry and certain other theorems, to which the author has added a new one of frequent application, then serve for the solution of the problems which the comparison of the various directions involved can present.

— Thomas Little Heath British civil servant and academic 1861 - 1940

The point P where the two parabolas intersect is given by<center><math>\begin{cases}y^2 = bx\\x^2 = ay\end{cases}</math></center>whence, as before,<center><math>\frac{a}{x} = \frac{x}{y} = \frac{y}{b}.</math></center>

Apollonius of Perga (1896)

— Jane Roberts American Writer 1929 - 1984

Zdroj: Seth, Dreams & Projections of Consciousness, (1986), p. 94, quoting from Seth Session 15

— Clive Staples Lewis Christian apologist, novelist, and Medievalist 1898 - 1963

Equality (1943)

Kontext: Friends are not primarily absorbed in each other. It is when we are doing things together that friendship springs up – painting, sailing ships, praying, philosophizing, fighting shoulder to shoulder. Friends look in the same direction. Lovers look at each other — that is, in opposite directions. To transfer bodily all that belongs to one relationship into the other is blundering.

— José Ortega Y Gasset, kniha The Revolt of the Masses

Zdroj: The Revolt of the Masses (1929), Chapter XIV: Who Rules The World?

Kontext: Nationalism is always an effort in a direction opposite to that of the principle which creates nations. The former is exclusive in tendency, the latter inclusive. In periods of consolidation, nationalism has a positive value, and is a lofty standard. But in Europe everything is more than consolidated, and nationalism is nothing but a mania, a pretext to escape from the necessity of inventing something new, some great enterprise.

„The straight line is regarded as the shortest distance between two people, as if they were points.“

— Theodor W. Adorno, kniha Minima Moralia

Nun gilt für die kürzeste Verbindung zwischen zwei Personen die Gerade, so als ob sie Punkte wären.

E. Jephcott, trans. (1974), § 20

Minima Moralia (1951)

— Morris Kline American mathematician 1908 - 1992

Zdroj: Mathematical Thought from Ancient to Modern Times (1972), p. 454

„so i do what i do best. i move in the opposite direction.“

— Jodi Picoult, My Sister's Keeper

Zdroj: My Sister's Keeper

— Anaïs Nin writer of novels, short stories, and erotica 1903 - 1977

Zdroj: The Diary of Anaïs Nin, Vol. 1: 1931-1934

— Marshall McLuhan Canadian educator, philosopher, and scholar-- a professor of English literature, a literary critic, and a communicatio… 1911 - 1980

Letter to Ezra Pound (21 December 1948)

1940s

— Fritz Todt German engineer and senior Nazi figure 1891 - 1942

Quoted in "Technologies of Landscape: From Reaping to Recycling" - by David E. Nye - Nature - 2000.