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"Leonardo da Vinci, artist and scientist, saw that the Italian artists of the empirical experience of a large and little knowledge. He conceived and began to write a book on geometry, but at this time, a book monk Luca Pacioli and Leonardo left his venture. According to contemporaries and historians of science, Luca Pacioli was the real star, the greatest mathematician of Italy between Fibonacci and Galileo. Luca Pacioli was a student of painter Piero della Francesca, who wrote two books, one of which was called "The perspective in painting." Luca Pacioli knew the importance of science to art. In 1496 at the invitation of Mr. Duke Moro he arrives in Milan, where he lectured in mathematics. In Milan, at the court of the Moro while working and Leonardo da Vinci. In 1509, Venice was Luca Pacioli published the book "The Divine Proportion" a brilliantly executed illustrations, in view of which suggest that they were made by Leonardo da Vinci. The book was an enthusiastic hymn to the golden ratio. Among the many advantages of the golden ratio monk Luca Pacioli and did not fail to call her "divinity" as an expression of the divine trinity of God the Son, God the Father and God the Holy Spirit (implying that a small segment is the personification of God's son, the greater amount of time - God the father, and the whole segment - God the Holy Spirit). Leonardo da Vinci also paid much attention to the study of the gold division. He produced stereometrically section of the body, formed by regular pentagons, and each time received rectangles with respect to the parties in the gold division. So he gave it the name of the division of the golden section. So it still holds as the most popular. At the same time, in the north of Europe, in Germany, over the same problems labored Albrecht Durer. He makes sketches of the introduction to the first embodiment of a treatise on proportions. Dürer wrote. "It is necessary that the one who knows anything, taught it to others who are in need. That's what I set out to do. " According to one of the letters Durer, he met with Luca Pacioli during their stay in Italy. Albrecht Durer detail developed the theory of proportions of the human body. An important place in the system of relations Durer assigned the golden section. Human growth is divided in golden proportions belt line and a line drawn through the tips of the middle fingers of hands lowered, the lower part of the face - mouth, etc. Known proportional dividers Dürer. ............ In later centuries, the golden ratio rule has turned the academic canon, and when in due course in the art of the struggle with the academic routine, in the heat of battle "with the water threw the baby out." The newly "discovered" the golden section was in the middle of the XIX century. In 1855, a German researcher Professor golden section Zeising published his "Aesthetic Research". With Zeising happened exactly as was bound to happen to a researcher who examines the phenomenon as such, without regard to other phenomena. He is an absolute of the proportion of the golden section, declaring it to be universal for all the phenomena of nature and art. We Zeising had numerous followers, but there were also opponents, who announced his theory of proportions "mathematical aesthetics." The validity of the theory Zeising checked the Greek statues. The most detail he developed a proportion of Apollo Belvedere. Study were Greek vases, architectural monuments of different eras, plants, animals, bird eggs, musical tones, poetic meters. Zeising defined the golden section showed how it is expressed in the straight sections and figures. When the numbers expressing the length of the segments have been received, Zeising saw that they are the Fibonacci series, which goes on to one or the other way. His next book was called "The Golden division as the main morphological law in nature and art." In 1876, Russia was published in a small book, almost a brochure outlining this work Zeising. The author took refuge under the initials YU.F.V. This publication is not mentioned neither a painting. In the late XIX - early XX centuries. there were many theories about the purely formalistic application of the golden ratio in art and architecture. With the development of the technical design and aesthetics of the law of golden section extended to the design of machines, furniture, etc. "(c) A.P.Zaytsev renewed attention to the artistic community of mathematical aesthetics. His study of classical art was a continuation of the mathematization of drawing art. Последний раз редактировалось Магнолия; 17.06.2013 в 05:43. |
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Эти 2 пользователя(ей) сказали Спасибо Магнолия за это полезное сообщение: | mansur-art (18.06.2013), Артём (17.06.2013) |
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