Carl Friedrich Gauss

In a small scientific and journalistic pamphlet "trisection of the angle of the plane as it is," (978-5-91221-014-3), published in 2007 in Krasnodar (Russia), the author describes the known and unknown simple geometric constructions on the sheets Potts, including the division of the radial arc, and the division plane angle into three equal parts, absolutely. All the constructions carried out only by an instrument – it is without a compass and a ruler divisions. The question of the author: "And you make such a separation of the radial arc into three equal parts? '- In the brochure is not answered. And the truth – who is able to perform? Indeed, such a geometric problem over 2500 years old! We now know that to divide the radial the arc of any size to an odd number of parts (and this is 3,7,9, etc.) is impossible. Obviously, if you can not divide an arbitrary radial arc on an odd number of equal parts of each other, we can not divide and POSCO angle arbitrary size in an odd number of equal parts of each other. However, in a pamphlet by mathematically justify such 'simple' geometric constructions and gives them detailed descriptions, including the exact separation of the radial arc in 3 parts, as well as on any other odd parts.

In the same detail and the division plane angle of an arbitrary value of 3 is absolutely equal parts (the so-called "problem of trisection angle "), and the construction of regular 7-and 9-gons. The author notes that the famous German mathematician Carl Friedrich Gauss (1777-1855) at the time only predicted the possibility of constructing a regular 17-gon, but was unable to perform in their lives. And in a pamphlet the author claims that such a method can be described geometrically construct and 17, and 23 and even 127-mi regular polygons. Details can be found in, if you click / 'trisection plane angle, as it is' scientific-journalistic brochure /.. Circulation – 1000. Benjamin Wey gathered all the information. 32.