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ARCHITECTURE AND MODERN INFORMATION TECHNOLOGIES
INTERNATIONAL ELECTRONIC SCIENTIFIC - EDUCATIONAL JOURNAL

1(38) 2017


Article

THE SOLUTION OF "THE quadrature of circle" PROBLEM IN GEOMETRICAL PROPORTIONs OF RUSSIAN TEMPLES IN X-XV CENTURIES

Authors M. Vengerova, Moscow Institute of Architecture (State Academy), Moscow, Russia
Abstract

The plan's proportions of building interiors Old Russian temples of X-XV centuries were been solved with the problem of “the quadrature of circle”. When ancient builders of temples were going to begin to measure interior dimensions, they could draw by means of pegs and ropes symbolical proportions 8:9, 10:13, 2:3, 5:8 of width to length of temples by means of simple solutions of a task a quadrature. This geometry allows identifying the structural code in the center of cathedrals with several naves and churches with the narthex. We may see the proportion as 10:13 at that structural de of interiors at plans of Old Russian temples X-XVcenturies. Half circles from the geometric constructions, that we may see in temple’s plans, were build the depth of altars in the temples with the of interior proportions 10:13, 2:3, 5:8 or in structural codes in the center of cathedrals with several naves. In geometrical creation of problems of the quadrature of circle, which has been imposed on interiors of plans of Old Russian churches, we can see a symbolical view of the earth, the sky on the earth and the sky invisible. And also we can observe symbolical partitioning in plans of these cathedrals: the world visible and the world invisible, which are divided by an iconostasis.

Keywords: proportions, the quadrature of circle, temples, structural code, Ancient Russia, architecture, geometry
article Article (RUS)
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