“I believe that it is possible by means of horizontal and vertical lines, constructed 'consciously' but not 'calculating', guided by a higher intuition and brought to harmony and rhythm – I believe that these fundamental aesthetic shapes – where necessary supplemented by lines in other directions or curved lines, make it possible to arrive at a work of art which is as strong as it is true. For anyone who sees more deeply, there is nothing vague about this; it is only vague for the superficial observer of nature. And 'chance' must be as far removed as 'calculation'. And for the rest it seems to me that it is necessary to keep breaking off the horizontal or vertical line: for if these directions were not countered by others, they would themselves come to signify something 'specific' and thus human.”

— Piet Mondrian

Quote of Mondrian in a letter to H. P. Bremmer, Paris 29 January 1914; ; as cited in Mondrian, - The Art of Destruction, Carel Blotkamp, Reaktion Books LTD. London 2001, p. 81
1910's

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Piet Mondrian 95

Peintre Néerlandais 1872–1944

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“It may be noted that in Neo-Plastic art the crucial thing is the right angel, that is, the right-angle lines. And not whether the position of the lines is vertical or horizontal... So it is possible to make very beautiful things while placing the lines in a diagonal position.”

Piet Mondrian (1872–1944) Peintre Néerlandais

In 'Neo-Plasticism: Home – Street – City', Piet Mondriaan, 'i 10', Jan. 1927
1920's

“If the masc. [masculine] is the vertic. [vertical] line, then a man will recognize this element in the rising line of a forest; in the horizont. [horizontal] lines of the sea he will see his complement. Woman, with the horizont. line as element, sees herself in the recumbent lines of the sea, and her complement in the vert. lines of the forest.”

Piet Mondrian (1872–1944) Peintre Néerlandais

[on his two paintings 'Sea' and ' Trees', both made in 1912 https://upload.wikimedia.org/wikipedia/commons/6/65/Trees%2C_1912%2C_Mondrian.jpg
note in his sketchbook, undated but c. 1912; as quoted in Mondrian, - The Art of Destruction, Carel Blotkamp, Reaktion Books LTD. London 2001, p. 70
1910's

“Robert Motherwell: Would you say that a fair statement of your position is that the 'meaning' of a work of art consists of the relations among the elements, and not the elements themselves?
Hofmann: Yes, that I would definitely say. You make a thin line and a thick line. It is the same with geometrical shapes. It is all relationship. Without all these relationships it is not possible to express higher art.”

Hans Hofmann (1880–1966) American artist

Interview in Modern Artists in America, First Series (1952), ed. R. Motherwell, Ad Reinhardt, and B. Karpel, p. 19, 39
1950s

“With regard to the diagonal, too, I am in complete agreement with you [with Theo van Doesburg ]. As soon as it appears together with straight [horizontal and vertical] lines, I believe it should be condemned... A while back I started a thing entirely in diamonds [diamond-shape] like this [his sketch in the letter of several diamond-forms]. I have to find out if it's possible: intellectually I'm inclined to say it is. There's something to be said for the idea, because perpendicular and flat lines can be seen everywhere in nature; by using a diagonal line I would be canceling that out. But I'm inclined to say that this cannot be combined with perpendicular and flat lines or with different kinds of slanting lines.”

Piet Mondrian (1872–1944) Peintre Néerlandais

quote about the growing controversy between Mondrian and Van Doesburg. concerning the use of diagonal lines
Source: quote from a letter of Mondrian to Theo van Doesburg, undated, c. May 1918; as cited in Mondrian, -The Art of Destruction, Carel Blotkamp, Reaktion Books LTD. London 2001, p. 120

“As we all know, the singularity in the art of Bach is the fusion of both levels and lines, the horizontal and vertical line. It’s a real wonder to see that the creation and forming of the horizontal line, the polyphonic structure, also results in this perfect, beautiful vertical line, the harmonic line. As we also know, Bach already used the full harmonic range and radius as no composer before him. My artistic aim of course is to point out the horizontal line in soloistic manner in a dynamically elastic way, but in the same breath to form the harmonic line in a bright field of color (I would call it “harmonic articulation”), to achieve a particular atmosphere of emotions and moods, drama, velocity, vividness, and so on. As we can imagine, these are high demands …”

Burkard Schliessmann classical pianist

Talkings on Bach

“The vertical is in my spirit. It helps me to define precisely the direction of lines, and in quick sketches I never indicate a curve, that of a branch in landscape for example, without being aware of its relationship to the vertical.
My curves are not mad.”

Henri Matisse (1869–1954) French artist

La verticale est dans mon esprit. Elle m'aide à préciser la direction des lignes, et dans mes dessins rapides je n'indique pas une courbe, par exemple, celle d'une branche dans un paysage, sans avoir conscience de son rapport avec la verticale.
Mes courbes ne sont pas folles.
1940s, Jazz (1947)

“Quite possibly this aesthetic contemplation coincides with religious feeling or with the uplift of the religious spirit, since in a work of art it is the deepest inwardness that expresses itself. It is necessary however, to bear in mind the essential distinction that the contemplation or uplift in art – i. e., the experience of pure art – contains nothing dreamy or vague. It is exactly the contrary; true artistic experience is altogether real and conscious”

Theo van Doesburg (1883–1931) Dutch architect, painter, draughtsman and writer

Quote from 'Grundbegriffe der neuen Gestaltenden Kunst', essay by Van Doesburg (published between 1921-23 in De Stijl) - last Chapter; as quoted in 'Fifty Years of Accomplishment, From Kandinsky to Jackson Pollock', by Michel Seuphor, Dell Publishing Co. 1964, p. 86
1920 – 1926

“I remained there [in The Netherlands, 1914-18] for the duration of the war, continuing my work of abstraction in a series of church. facades, trees, houses, etc. But I felt that I still worked as an Impressionist and was continuing to express particular feelings, not pure reality. Although I was thoroughly conscious that we can never be absolutely 'objective', I felt that one can become less and less subjective, until the subjective no longer predominates in one's work. More and more I excluded from my painting all curved lines, until finally my compositions consisted only of vertical and horizontal lines which formed crosses, each separate and detached from the other. Observing sea, sky and stars, I sought to indicate their plastic function through a multiplicity crossing verticals and horizontals.”

Piet Mondrian (1872–1944) Peintre Néerlandais

Source: Quote of Mondrian about 1914-1918; in 'Mondrian, Essays' ('Plastic art and pure plastic art', 1937 and his other essays, (1941-1943) by Piet Mondrian; Wittenborn-Schultz Inc., New York, 1945, p. 10; as cited in De Stijl 1917-1931 - The Dutch Contribution to Modern Art, by H.L.C. Jaffé http://www.dbnl.org/tekst/jaff001stij01_01/jaff001stij01_01.pdf; J.M. Meulenhoff, Amsterdam 1956, p. 43

“I used to look in my mind for the unwritten page
if my mind was empty enough I could see it
I didn't paint the plane
I just drew this horizontal line
Then I found out about all the other lines
But I realized what I liked was the horizontal line
Then I painted the two rectangles
correct composition
if they're just right”

Agnes Martin (1912–2004) American artist

1970's, The Untroubled Mind', 1971

“We speak of concrete and not abstract painting because nothing is more concrete, more real then a line, a colour, a surface. A woman, a tree, a cow; are these concrete elements in a painting? No. A woman, a tree and a cow are concrete only in nature; in painting they are abstract, illusionistic, vague and speculative. However, a plane is a plane, a line is a line and no more or no less than that. 'Concrete paintin.”

Theo van Doesburg (1883–1931) Dutch architect, painter, draughtsman and writer

Spirit has arrived at the age of maturity...
Quote in 'Comments on the basic of concrete painting', Paris, January 1930, in 'Art Concret', April 1930, pp. 2–4
1926 – 1931

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Piet Mondrian 95

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