Some Metric Properties of General Semi-regular Polygons
نویسندگان
چکیده
If we construct isosceles polygon Pa k with (k − 1) sides of the same length over each side of regular polygon Pb n , with n sides, we get a new equilateral polygon P a,δ N with N = (k− 1)n sides of the same length and with different inner angles. Such polygon is called equilateral semi-regular polygon. This paper deals with metric properties of general semi-regular polygons Pa N , with given side a and angle δ, defined by equation δ = ∠(a, d1) = ∠(di, di+1), i = 1, 2, . . . , k− 3, as an angle between diagonals di drawn from the apex Aj, j = 1, 2, . . . , n of the regular polygon with sides dk−2 = AjAj+1 = b as well as the application of the obtained results.
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