“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

[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 <br class="br">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 <br class="br">1910's

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Piet Mondrian95

Peintre Néerlandais 1872–1944

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“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 …”

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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

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1920's

“Gaiety of tone is the luminous dominant, of tint, the warm dominant, of line, lines above the horizontal
Calmness of tone is the equality of dark and light; of tint, of warm and cool, and the horizontal for line.
Sadness of tone is the dark dominant; of tint, the cool dominant, and of line, downward directions.”

Georges Seurat (1859–1891) French painter

Quotes, 1881 - 1890, Letter to Maurice Beaubourg', August 1890

“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 (1872–1944) Peintre Néerlandais

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

“Vertical and horizontal lines are the expression of two opposing forces; they exist everywhere and dominate everything; their reciprocal action constitutes 'life'. I recognized that the equilibrium of any particular aspect of nature rests on the equivalence of its opposites.”

Piet Mondrian (1872–1944) Peintre Néerlandais

Quote in 'Plastic Art and Pure Plastic Art', Piet Mondrian (1937), in 'Documents of modern Art', for Wittenborn, New York 1945, p. 13; as quoted in Abstract Expressionist Painting in America, W.C, Seitz, Cambridge Massachusetts, 1983, p. 55
1930's