Abstract

We propose a method by which one can be flat or three-dimensional shape draw another shape, while maintaining the basic parameters of these figures. For example, you can draw a circle in a triangle, cone - a pyramid, cylinder - a prism, and the ball - in the “hoof”. It develops spatial imagination, simplifies the derivation of the main indicators determine the bodies of revolution and still brings us closer solving the famous problem of squaring the circle - to construct a square equal on the area circle. Recent calculations here are certainly not suggest derivation of the formulas for determining the lateral surface and volume of a sphere, and show that the treatment of geometric shapes stored value of its main indicators. Inversion method allows approximate geometric shapes solve the problem squaring the circle, handling geometric shapes main indicators of these figures are stored, the method of treatment in some cases of plane figures and cone simplifies derivations without using the techniques of higher mathematics. The article describes the non-trivial solutions of problems in geometry and plane geometry, which may be of interest design engineers in the construction and engineering industries in the energy sector.

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