mnogokut
Definicija: dio ravnine omeđen dužinama
Napomena: Neka su \(A_1,A_2,...,A_n\) različite točke ravnine tako da se dužine \(A_1A_2, A_2A_3,...,A_{n-1}A_n; A_nA_1\) međusobno ne sijeku i nijedne dvije uzastopne nisu na istome pravcu. Tada je dio ravnine unutar zatvorene krivulje određene gornjim dužinama višekut s vrhovima \(A_1,A_2,...,A_n\), stranicama \(A_1A_2, A_2A_3,...,A_{n-1}A_n; A_nA_1\). Taj višekut ima \(n\) kutova određenih uzastopnim stranicama pa se naziva i \(n\)-terokutom.
Dopušteni nazivi: poligon, višekut
Podređeni nazivi: vrh mnogokuta, stranica mnogokuta, dijagonala mnogokuta, vrh mnogokuta, tetivni mnogokut, tangentni mnogokut, pravilni mnogokut, nekonveksni mnogokut, konveksni mnogokut
Engleske istovrijednice: mnogokut = polygon
Struna ID: 29800
Obrađivač: Ivica Gusić
Faza obrade: zaključaj naziv
Vrsta riječi: imenica Rod: muški Broj: jednina
Cilj projekta "Hrvatsko nazivlje u matematici" je na jednom mjestu prikupiti i obraditi sve hrvatske nazive koji na izravan ili neizravan način imaju veze s matematikom. Ako želite na bilo koji način doprinijeti ostvarenju ciljeva ovog projekta, molim javite se voditelju projekta na adresu goran.igaly@math.hr
WMW naziv: polygon
WMW klasifikacija: Geometry > Plane Geometry > Polygons >
WMW definicija: A polygon can be defined as a geometric object "consisting of a number of points (called vertices) and an equal number of line segments (called sides), namely a cyclically ordered set of points in a plane, with no three successive points collinear, together with the line segments joining consecutive pairs of the points. In other words, a polygon is closed broken line lying in a plane" (Coxeter and Greitzer 1967, p. 51).
WMW napomena: There is unfortunately substantial disagreement over the definition of a polygon. Other sources commonly define a polygon as a "closed plane figure with straight edges" (Gellert et al. 1989, p. 162), "a closed plane figure bounded by straight line segments as its sides" (Bronshtein et al. 2003, p. 137), or "a closed plane figure bounded by three or more line segments that terminate in pairs at the same number of vertices, and do not intersect other than at their vertices" (Borowski and Borwein 2005, p. 573). These definitions all imply that a polygon is a set of line segments plus the region they enclose, though they never define precisely what is meant by "closed plane figure" and universally depict polygons as a closed broken black lines with no shading of the interiors.
WMW See also: 257-gon, 65537-gon, Anthropomorphic Polygon, Bicentric Polygon, Carnot's Polygon Theorem, Chaos Game, Convex Polygon, Cyclic Polygon, de Moivre Number, Derived Polygon, Equiangular Polygon, Equilateral Polygon, Equilateral Triangle, Euler's Polygon Division Problem, Heptadecagon, Hexagon, Hexagram, Illumination Problem, Lozenge, Octagon, Parallelogram, Pascal's Theorem, Pentagon, Pentagram, Petrie Polygon, Planar Polygon, Polychoron, Polygon Area, Polygon Circumscribing, Polygon Diagonal, Polygon Inscribing, Polygonal Knot, Polygonal Number, Polygonal Spiral, Polygram, Polyhedral Formula, Polyhedron, Polytope, Quadrangle, Quadrilateral, Regular Polygon, Reuleaux Polygon, Rhombus, Rotor, Roulette, Simple Polygon, Simplicity, Square, Star Polygon, Trapezium, Trapezoid, Triangle, Visible Point, Voronoi Polygon, Wallace-Bolyai-Gerwien Theorem
Izvor: Weisstein, Eric W. "Polygon." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/Polygon.html
Struna ID: 29800