MODELLING OF RAISING OF ROWS IN THE FORM OF THE TWO-UNIT BROKEN LINE WITH IDENTICAL ON SCREENING SQUARE OF THE FLAT SCREEN

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In work the model of raising of rows in the plan in the form of a two-unit broken line providing equal on the area a partial screening of a flat screen is offered. The model is realized in the program Mathcad environment.In article the case when monocular eyes of the audience in repartitions of a row lie on one horizontal straight line of a row broken line parallel to a link is considered. It belongs also to a straight line of tops of the audience of each row. Thus, straight lines of tops of the audience of the previous row and straight lines of monocular eyes of the subsequent row form couples of parallel straight lines setting the planes. If the specified planes cross the screen plane in its borders, then there is a screening. The area of a screening depends on height of monocular eyes of the audience of the subsequent row, and the straight line of crossing can cross its lower edge (the focal line) in repartitions of the screen or to be located above it.In the first case the area of a screening pays off as the area of the triangle limited from above to a crossing straight line, from below - the lower edge of the screen, sideways - a side edge of the screen. In the second - as the area of the rectangular trapeze limited from above to the line of crossing, from below - the lower edge of the screen, and on each side - side edges of the screen.In order that the area of a screening equaled beforehand set for the audience of all ranks, the problem of search of the corresponding height (z-coordinate) of a monocular eye of any viewer of the subsequent row is solved. This task comes down to search of a root of the equation in which left part there is a difference between the area of a screening and the set area of a screening, and in right - zero. For search of a root it is necessary to set the first approach correctly. In the developed Mathcad program as such approach when calculating heights of eyes of the audience of each row in a cycle height of eyes of the audience of this row calculated for option of free visibility was set.