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Golden proportions in the Bulgarian architecture

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“Golden section” from ancient times until today expresses the relationship between mathematic and architecture. It is known as the“golden proportion, golden ration or divine proportion”. The golden section is a line segment divided according to the golden ratio: The total length a + b is to the length of the longer segment a as the length of a is to the length of the shorter segment b.

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Mathematical definition Golden section (A+B)/A = A/B Denoted with the Bulgarian letter: “Ф” or Greek: φ (phi) 1 + √ 5 ¯¯¯¯¯¯ 2 ≈ 1,618033…… φ =

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Golden section is not only a mathematical concept, but is a symbol of beauty, harmony and perfection in art, science and nature. The term "golden section" was coined by Leonardo da Vinci as a proportion of "perfect human body."

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“The perfect human body”

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Golden section was known to the Egyptians and the Greeks in antiquity. The notion of harmony and respect is in the basis of philosophical ideas of Pythagoras. Egyptian pyramids and the Parthenon are an example of the use of proportion " φ" in architecture.

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“Golden Section” in architecture Golden ratio is found in many of the most famous works of art. It has been used in the Bulgarian construction and during the building of Bulgarian churches.

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The “Golden” church – Preslav the Great The second capital of the First Bulgarian Kingdom is found on the Ticha river, where at the time of Khan Omurtag where a palace and a fortress had been build. It had been established by Tsar Simeon. The fortress consisted of external and internal defense system.

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The inner fort is situated almost in the middle of the city. It’s L-shaped, with round towers at the corners and square along the walls. This palace is impressive, with rich architecture, built of large stone blocks. The Throne Hall has three compartments. Certainly most attention is deserved by the "Golden Church“. It is a brilliant monolith of ecclesiastical architecture of the “First Bulgarian Kingdom” and a unique monument of Bulgarian architecture in general.

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This architectural plan is an example of the golden ratio.

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Model made by the students of SOU Zheleznik

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Church “St. Sophia”

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“St. Alexander Nevsky” Cathedral It is the biggest church in the Balkan peninsula, which is built according the Golden Ratio.

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Made by: Maria Mihova Gabriela Sivenova Translated by: Martin Stoykov SOU Zheleznik Stara Zagora

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http://btourism.com/read.php?id=85 http://www.google.bg/search?hl=bg&pq bg.wikipedia.org/wiki/Златно_сечение Math10.com

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The Divine Proportion “Geometry has two great treasures…one is the theorem of Pythagoras; the other, the division of a line into extreme and mean ratio.

The Divine Proportion “Geometry has two great treasures…one is the theorem of Pythagoras; the other, the division of a line into extreme and mean ratio.

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