“I make no difference between the Plane of the Horizon, and any other Plane whatsoever; for since Planes, as Planes, are alike in Geometry, it is most proper to consider them as so”

— Brook Taylor

New Principles of Linear Perspective (1715, 1749)
Context: I make no difference between the Plane of the Horizon, and any other Plane whatsoever; for since Planes, as Planes, are alike in Geometry, it is most proper to consider them as so, and to explain their Properties in general, leaving the Artist himself to apply them in particular Cases, as Occasion requires.

Adopted from Wikiquote. Last update June 3, 2021. History

Help us to complete the source, original and additional information

Do you have more details about the quote "I make no difference between the Plane of the Horizon, and any other Plane whatsoever; for since Planes, as Planes, are…" by Brook Taylor?

Brook Taylor9

English mathematician 1685–1731

Related quotes

“The absolute requisites for the study of this work… are a knowledge of algebra to the binomial at least, plane and solid geometry, plane trigonometry, and the most simple part of the usual applications of algebra to geometry.
…A. De Morgan. London July 1, 1836”

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

The Differential and Integral Calculus (1836)

“We exist on several different planes, and when we said nothing had any reason we were referring to the psychological and social plane.”

Eugéne Ionesco (1909–1994) Romanian playwright

The Paris Review interview (1984)

“Since one cannot create 'depth' by carving a hole in the picture, and since one should not attempt to create the illusion of depth by tonal gradation, depth as a plastic reality must be two dimensions in a formal sense as well in the sense of color. 'Depth' is not created on a flat surface as an illusion, but as a plastic reality. The nature of the picture plane makes it possible to achieve depth without destroying the two-dimensional essence of the picture plane.. A plane is a fragment in the architecture of space. When a number of planes are opposed one to another, a spatial effect results. A plane functions in the same manner as the walls of a building... Planes organized within a picture create the pictorial space of its composition... The old masters were plane-consciousness. This makes their pictures restful as well as vital…”

Hans Hofmann (1880–1966) American artist

'Search for the Real in the Visual Arts', p. 44
Search for the Real and Other Essays (1948)

“To me the most important thing [in a picture] is roundness captured in height and breadth. Roundness in the plane, depth in the feeling of the plane.”

Max Beckmann (1884–1950) German painter, draftsman, printmaker, sculptor and writer

Quote from Schopferische Konfession (Creative credo) of 1918; first published in 'Tribune der Kunst und Zeit', no. 13 (1920): 66; for an English translation, see Victor H. Miesel, ed. Voices of German Expressionism, (Englewood Cliffs, N.J.: Prentice Hall, 1970); as quoted in 'Portfolios', Alexander Dückers; in German Expressionist Prints and Drawings - Essays Vol 1.; published by Museum Associates, Los Angeles County Museum of Art, California & Prestel-Verlag, Germany, 1986, p. 101
1900s - 1920s