wp/Polygon a plane figure made up of line segments connected to form a closed polygonal chain.
rob: la terminologia in wikiEn non e' univoca, poiche'
wp/Poligono figura geometrica piana delimitata da una linea spezzata chiusa.
Poligoni semplici non intrecciati
Poligoni intrecciati non semplici
poligono dal greco πολύς (polys, "molti") e γωνία (gōnia, "angolo")
la definizione data da wikipedia e' diversa in italiano e inglese
| Equilateral_polygon | a polygon which has all sides of the same length | |
| Poligono_equilatero | poligono avente tutti i lati congruenti, ovvero della medesima lunghezza | |
|
Equiangular_polygon
direct equiangular |
a polygon whose vertex angles are equal. All angles turning in the same direction in a plane (can include multiple turns) |
|
| Poligono_equiangolo | un poligono nel quale tutti gli angoli ai vertici sono congruenti fra loro, cioč della stessa ampiezza. | |
| Regular_polygon | a polygon that is direct equiangular (all angles are equal in
measure and turning in the same direction) and equilateral (all sides
have the same length) Regular polygons may be either convex, star or skew. |
|
wp/Constructible_polygon regular polygon that can be constructed with compass and straightedge.
In order to reduce a geometric problem to a problem of pure number theory, the proof uses the fact that a regular n-gon is constructible if and only if the cosine cos ( 2 π / n ) is a constructible number—that is, can be written in terms of the four basic arithmetic operations and the extraction of square roots. Equivalently, a regular n-gon is constructible if any root of the nth cyclotomic polynomial is constructible.
dividere una circonferenza in archi di uguale ampiezza, usando riga e compasso.
Problema classico della geometria.
Non e' ciclotimia.