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Polígono 多角形 Многоугольник Poligon 多边形 مضلع Wielokąt Veelhoek Mnohoúhelník Plurlatero Polagán Polygon 다각형 Πολύγωνο Многокутник Polygon Poligono Poligono Polygon Polygone Polígono Polígon
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En geometria, un polígon és una figura plana formada per un nombre finit de segments lineals seqüencials (línia poligonal). Cadascun d'aquests segments és un costat, i cada un dels punts on s'uneixen dos costats és un vèrtex. Sovint, el terme polígon també s'utilitza per descriure l'àrea compresa dins de la figura, o la unió de la figura i l'àrea. Un n-gon és un polígon de n costats, i un polígon amb tots els angles i costats iguals s'anomena polígon regular. Un polígon és un exemple bidimensional del concepte de polítop, el qual abraça qualsevol nombre de dimensions. Πολύγωνο στη γεωμετρία είναι κάθε απλή κλειστή τεθλασμένη. Ένα πολύγωνο με ν πλευρές λέγεται ειδικότερα ν-γωνο ή ν-πλευρο. Προφανώς ισχύει ν ≥ 3. Em geometria, um polígono é uma figura fechada com lados. A palavra "polígono" vem da palavra em grego "polígonos" que significa ter muitos lados ou ângulos. A definição usada por Euclides para polígono era uma figura limitada por linhas retas, sendo que essas linhas deveriam ser mais de quatro, e figura qualquer região do plano cercada por uma ou mais bordas. Многоку́тник (багатоку́тник, поліго́н) — геометрична фігура, замкнена ламана (сама, або разом із точками, що лежать усередині). Вершини цієї ламаної називають вершинами многокутника, а відрізки ламаної — сторонами многокутника. Дві вершини, що сполучаються відрізком ламаної, називаються суміжними вершинами. Дві сторони, що мають спільну вершину, називаються суміжними. Якщо дві несуміжні сторони не мають спільних точок (тобто ламана, що обмежує многокутник, не перетинається), многокутник називається простим. In geometria un poligono (dal greco πολύς (polys, "molti") e γωνία (gōnia, "angolo") è una figura geometrica piana delimitata da una linea spezzata chiusa. I segmenti che compongono la spezzata chiusa si chiamano lati del poligono e i punti in comune a due lati consecutivi si dicono vertici del poligono. Dalam geometri, poligon atau segi banyak adalah bangun datar yang digambarkan dengan jumlah terhingga dari garis lurus yang terhubung, sehingga membentuk sebuah (atau sirkuit poligonal) yang tertutup. Ruas garis dari sirkuit poligonal disebut sebagai sisi. Perpotongan dari dua sisi pada poligon dikenal sebagai titik pojok. Segi-n adalah sebuah poligon yang mempunyai sisi, contohnya, segi-3 (segitiga). Poligon merupakan contoh bangun dimensi dua dari politop yang lebih umum dalam sebarang dimensi. Banyak perumumannya yang didefinisikan untuk tujuan lain. Polygoner eller månghörningar är ett samlingsnamn för tvådimensionella geometriska figurer i form av slutna kurvor bestående av ett ändligt antal räta linjesegment i planet. Med undantag av triangeln och fyrhörningen (trapetset), har dessa namn efter motsvarande grekiska räkneord med efterledet -gon, från grekiska ordet för vinkel; se listan till höger. Een veelhoek of polygoon (van het Oudgriekse πολυγώνιον, polygṓnion‚ veelhoek, samengesteld uit: πολύς, polýs, veel en γωνία gōnía, hoek) is een meetkundige figuur in een plat vlak, gevormd door een gesloten keten van een eindig aantal lijnstukken. Het equivalent van een veelhoek in drie dimensies heet een veelvlak. Un polygone, en géométrie euclidienne, est une figure géométrique plane formée d'une ligne brisée (appelée aussi ligne polygonale) fermée, c'est-à-dire d'une suite cyclique de segments consécutifs. Les segments sont appelés bords ou côtés et les extrémités des côtés sont appelés sommets ou coins du polygone. Un polygone est dit si au moins deux côtés non consécutifs sont sécants, et simple si l'intersection de deux côtés est vide ou réduite à un sommet pour deux côtés consécutifs. La somme des angles d'un polygone simple ( ou non) ne dépend que de son nombre de sommets. Geometrian, poligono lerro zuzeneko segmentu kopuru mugatu batek deskribatutako irudi laua da, kate poligonal itxi bat (edo zirkuitu poligonal bat) eratzeko konektatuta dagoena. Eskualde lau mugatuari, mugatutako zirkuituari edo biei batera poligonoa dei dakieke. Zirkuitu poligonal bateko segmentuei edo aldeak esaten zaie. Bi ertzetako elkarguneak poligonoaren erpinak dira. Poligono solido baten barrualdeari batzuetan bere gorputza deitzen zaio. N-gono bat n aldeak dituen poligono bat da; adibidez, triangelu bat 3-gono bat da, eta pentagono bat 5-gono bat. Wielokąt (albo wielobok) – figura płaska ograniczona linią łamaną zamkniętą, zazwyczaj jest to łamana zwyczajna. Boki tej łamanej nazywamy bokami wielokąta, zaś jej wierzchołki nazywamy wierzchołkami wielokąta. Suma kątów wewnętrznych wielokąta płaskiego o bokach: radianów = . Odpowiednikiem wielokąta w przestrzeni trójwymiarowej i ogólnie w przestrzeniach liniowych jest wielościan lub wielotop. Wielokąt (ang. polygon) – także pojęcie w grafice komputerowej określające część siatki trójwymiarowej. 多邊形,是平面的封閉幾何圖形,由大于2条線段組成,且首尾相连劃出的形狀。 기하학에서 다각형(多角形, Polygon)은 한 평면 위에 있으면서 유한개의 선분들이 차례로 이어져 이루어진 경로이다. 다각형(多角形)이라는 말을 글자 그대로 해석하면 각이 많은 모양(도형)이라는 뜻이다. 다각형을 이루는 각각의 선분들을 그 다각형의 변이라 하고, 변의 끝점을 꼭짓점이라 한다. 단순한 다각형의 경우 그 변들의 합집합은 다각형 영역의 경계를 이룬다. 다각형은 변의 개수에 따라 삼각형, 사각형 등으로 이름 붙인다. En geometría, un polígono es una figura geométrica plana compuesta por una secuencia finita de segmentos rectos consecutivos que encierran una región en el plano.​ Estos segmentos son llamados lados, y los puntos en que se intersecan se llaman vértices. El polígono es el caso bidimensional del politopo. Многоуго́льник — геометрическая фигура, обычно определяемая как часть плоскости, ограниченная замкнутой ломаной. Если граничная ломаная не имеет точек самопересечения, многоугольник называется простым. Например, треугольники и квадраты — простые многоугольники, а пентаграмма — нет. Точки перелома ломаной называются вершинами многоугольника, а её звенья — сторонами многоугольника. Число сторон многоугольника совпадает с числом его вершин. Ein Polygon (von altgriechisch πολυγώνιον polygṓnion ‚Vieleck‘; aus πολύς polýs ‚viel‘ und γωνία gōnía ‚Winkel‘) oder auch Vieleck ist in der elementaren Geometrie eine ebene geometrische Figur, die durch einen geschlossenen Streckenzug gebildet wird. Ein Polygon ist ein zweidimensionales Polytop. Die umschlossene Fläche wird oft auch als Polygon bezeichnet, so in der Planimetrie. المضلع أو المطبل هو خط بسيط مغلق يتكون من اتحاد عدة قطع مستقيمة. وهو شكل هندسي يقع في المستوي. ضلع المضلع، هي كل قطعة مستقيمة من محيط المضلع. زوايا المضلع، هي الزوايا المحصورة بين أضلاع المضلع. مضلع منتظم هو مضلع جميع أضلاعه متطابقة في القياسات وجميع زواياه الداخلية متطابقة. بينما مضلع غير منتظم هو المضلع الذي زواياه غير متطابقة. كون أضلاع مضلع ما متطابقة من حيث الطول لا يجعل من المضلع منتظما، ولكن يجعل منه مضلعا متساوي الأضلاع. Mnohoúhelník (také polygon) je část roviny vymezená úsečkami, které spojují určitý počet bodů (nejméně tři), z nichž žádné tři sousední neleží na jedné přímce. Další možná definice je tato: mnohoúhelník je část roviny omezená uzavřenou lomenou čárou takovou, že žádné tři následující koncové body jejích úseček neleží v jedné přímce. 初等幾何学における多辺形(たへんけい、英: polylateral)または多角形(たかっけい、英: polygon; [ˈpɒlɪɡɒn])は、閉あるいは閉曲線を成す、線分の閉じた有限鎖で囲まれたを言う。多角形を構成するこれら線分をその多角形の辺 (edge, side) と呼び、それらの二つの辺が交わる点をその多角形の頂点 (vertex, corner) と呼ぶ。n 個の辺を持つ多角形は n-角形 (n-gon) あるいは n-辺形 (n-lateral) と呼ぶ。例えば三角形は三辺形である。多角形は、より一般の任意次元における超多面体の二次元の例になっている。 多角形に関する基本的な幾何学的概念は特定の目的に応じて様々な方法で適応されてきた。数学においてはしばしば有界な閉折れ線や自己交叉を持たないに限って問題にするため、そのようなもののみ多角形と呼ぶこともある。他方、多角形の境界が自分自身と交わることを許す流儀もあり、その場合星型多角形やその他のが形作られる。その他の多角形の一般化については。 なお、図形に関してはしばしば、その周辺の枠だけについて議論しているのか、面としてその内側と外側を区別しているのか曖昧なことがあるが、多角形についても同様であり、たとえば後者について議論していることを明確にするために「面分」(「線分」からの類推)などといった語が使われることなどがある。 Sa , de ghnáth, is éard is polagán ann ná figiúr déthoiseach a bhíonn cuimsithe le cosán dúnta nó ciorcad, comhdhéanta de sheicheamh críochta de mhírlínte díreacha (is é sin, le slabhra polagánach dúnta). Tugtar 'imill' nó 'taobhanna' ar na codanna seo, agus tugtar 'reanna' nó 'coirnéil' ar na pointí ina gcasann dá imeall le chéile. Is éard is m-gán ann ná polagán le 'n' taobh. Tugtar 'an corp' uaireanta ar taobh istigh pholagáin. Is sampla é an polagán déthoiseach de 'polytope' gur féidir aon líon d' uimhreacha toisí a bheith aige. Plurlatero (aŭ poligono) estas geometria figuro, kiu konsistas el minimume tri punktoj en ebeno konektitaj per strekoj, tiel ke ekestas fermita figuro. Ekzemploj estas trianguloj, kvarlateroj kaj seslateroj. In geometry, a polygon (/ˈpɒlɪɡɒn/) is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain (or polygonal circuit). The bounded plane region, the bounding circuit, or the two together, may be called a polygon. The segments of a polygonal circuit are called its edges or sides. The points where two edges meet are the polygon's vertices (singular: vertex) or corners. The interior of a solid polygon is sometimes called its body. An n-gon is a polygon with n sides; for example, a triangle is a 3-gon.
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Πολύγωνο στη γεωμετρία είναι κάθε απλή κλειστή τεθλασμένη. Ένα πολύγωνο με ν πλευρές λέγεται ειδικότερα ν-γωνο ή ν-πλευρο. Προφανώς ισχύει ν ≥ 3. Geometrian, poligono lerro zuzeneko segmentu kopuru mugatu batek deskribatutako irudi laua da, kate poligonal itxi bat (edo zirkuitu poligonal bat) eratzeko konektatuta dagoena. Eskualde lau mugatuari, mugatutako zirkuituari edo biei batera poligonoa dei dakieke. Zirkuitu poligonal bateko segmentuei edo aldeak esaten zaie. Bi ertzetako elkarguneak poligonoaren erpinak dira. Poligono solido baten barrualdeari batzuetan bere gorputza deitzen zaio. N-gono bat n aldeak dituen poligono bat da; adibidez, triangelu bat 3-gono bat da, eta pentagono bat 5-gono bat. Poligono sinple bat bere burua intersekzionatzen ez duena da. Matematikariak poligono sinpleak mugatzen dituzten kate poligonalez bakarrik arduratzen dira, eta horren araberako poligono bat definitu ohi dute. Muga poligonal bat bere burua gurutzatzea ahalbidetu daiteke, poligono eta auto-interzeptatzen diren beste poligono batzuk sortuz. Poligono bat politopo orokorrenaren bi dimentsioko adibidea da edozein dimentsio-zenbakitan. Hainbat helburutarako definitutako poligonoen askoz orokortze gehiago daude. 初等幾何学における多辺形(たへんけい、英: polylateral)または多角形(たかっけい、英: polygon; [ˈpɒlɪɡɒn])は、閉あるいは閉曲線を成す、線分の閉じた有限鎖で囲まれたを言う。多角形を構成するこれら線分をその多角形の辺 (edge, side) と呼び、それらの二つの辺が交わる点をその多角形の頂点 (vertex, corner) と呼ぶ。n 個の辺を持つ多角形は n-角形 (n-gon) あるいは n-辺形 (n-lateral) と呼ぶ。例えば三角形は三辺形である。多角形は、より一般の任意次元における超多面体の二次元の例になっている。 多角形に関する基本的な幾何学的概念は特定の目的に応じて様々な方法で適応されてきた。数学においてはしばしば有界な閉折れ線や自己交叉を持たないに限って問題にするため、そのようなもののみ多角形と呼ぶこともある。他方、多角形の境界が自分自身と交わることを許す流儀もあり、その場合星型多角形やその他のが形作られる。その他の多角形の一般化については。 多角形 (poly­gon) の語は、「多い」を意味する希: πολύς (ラテン転写: polús) と「角」(カド)を意味する希: γωνία (ラテン転写: gōnía, cōnía) に由来する。二つの相隣る (adjacent) 辺とそれらの交点としての頂点の成す幾何学的対象が角(カク、平面角)で、その大きさを測る数値(測度)を角度(角の測度)と呼ぶ。 なお、図形に関してはしばしば、その周辺の枠だけについて議論しているのか、面としてその内側と外側を区別しているのか曖昧なことがあるが、多角形についても同様であり、たとえば後者について議論していることを明確にするために「面分」(「線分」からの類推)などといった語が使われることなどがある。 面についての考慮をともなわない、「点と辺からなる対象」としては、(グラフ理論の意味の)「グラフ」の一種とみなすことができ、(多角形に限らないが)図形やグラフの特徴などについて、しばしば相互の用語などを使って説明などがなされることがある(一例として、多面体グラフの記事を参照のこと)。 Een veelhoek of polygoon (van het Oudgriekse πολυγώνιον, polygṓnion‚ veelhoek, samengesteld uit: πολύς, polýs, veel en γωνία gōnía, hoek) is een meetkundige figuur in een plat vlak, gevormd door een gesloten keten van een eindig aantal lijnstukken. Het equivalent van een veelhoek in drie dimensies heet een veelvlak. 多邊形,是平面的封閉幾何圖形,由大于2条線段組成,且首尾相连劃出的形狀。 기하학에서 다각형(多角形, Polygon)은 한 평면 위에 있으면서 유한개의 선분들이 차례로 이어져 이루어진 경로이다. 다각형(多角形)이라는 말을 글자 그대로 해석하면 각이 많은 모양(도형)이라는 뜻이다. 다각형을 이루는 각각의 선분들을 그 다각형의 변이라 하고, 변의 끝점을 꼭짓점이라 한다. 단순한 다각형의 경우 그 변들의 합집합은 다각형 영역의 경계를 이룬다. 다각형은 변의 개수에 따라 삼각형, 사각형 등으로 이름 붙인다. المضلع أو المطبل هو خط بسيط مغلق يتكون من اتحاد عدة قطع مستقيمة. وهو شكل هندسي يقع في المستوي. ضلع المضلع، هي كل قطعة مستقيمة من محيط المضلع. زوايا المضلع، هي الزوايا المحصورة بين أضلاع المضلع. مضلع منتظم هو مضلع جميع أضلاعه متطابقة في القياسات وجميع زواياه الداخلية متطابقة. بينما مضلع غير منتظم هو المضلع الذي زواياه غير متطابقة. كون أضلاع مضلع ما متطابقة من حيث الطول لا يجعل من المضلع منتظما، ولكن يجعل منه مضلعا متساوي الأضلاع. Ein Polygon (von altgriechisch πολυγώνιον polygṓnion ‚Vieleck‘; aus πολύς polýs ‚viel‘ und γωνία gōnía ‚Winkel‘) oder auch Vieleck ist in der elementaren Geometrie eine ebene geometrische Figur, die durch einen geschlossenen Streckenzug gebildet wird. Ein Polygon ist ein zweidimensionales Polytop. Ein Polygon erhält man, indem in einer Zeichenebene mindestens drei verschiedene (nicht kollineare) Punkte durch Strecken miteinander verbunden werden. Dabei entsteht ein geschlossener Streckenzug (Polygonzug) mit ebenso vielen Ecken, beispielsweise ein Dreieck (3 Punkte, 3 Strecken) oder ein Viereck (4 Punkte, 4 Strecken). Die umschlossene Fläche wird oft auch als Polygon bezeichnet, so in der Planimetrie. Многоуго́льник — геометрическая фигура, обычно определяемая как часть плоскости, ограниченная замкнутой ломаной. Если граничная ломаная не имеет точек самопересечения, многоугольник называется простым. Например, треугольники и квадраты — простые многоугольники, а пентаграмма — нет. Точки перелома ломаной называются вершинами многоугольника, а её звенья — сторонами многоугольника. Число сторон многоугольника совпадает с числом его вершин. En geometría, un polígono es una figura geométrica plana compuesta por una secuencia finita de segmentos rectos consecutivos que encierran una región en el plano.​ Estos segmentos son llamados lados, y los puntos en que se intersecan se llaman vértices. El polígono es el caso bidimensional del politopo. Mnohoúhelník (také polygon) je část roviny vymezená úsečkami, které spojují určitý počet bodů (nejméně tři), z nichž žádné tři sousední neleží na jedné přímce. Další možná definice je tato: mnohoúhelník je část roviny omezená uzavřenou lomenou čárou takovou, že žádné tři následující koncové body jejích úseček neleží v jedné přímce. En geometria, un polígon és una figura plana formada per un nombre finit de segments lineals seqüencials (línia poligonal). Cadascun d'aquests segments és un costat, i cada un dels punts on s'uneixen dos costats és un vèrtex. Sovint, el terme polígon també s'utilitza per descriure l'àrea compresa dins de la figura, o la unió de la figura i l'àrea. Un n-gon és un polígon de n costats, i un polígon amb tots els angles i costats iguals s'anomena polígon regular. Un polígon és un exemple bidimensional del concepte de polítop, el qual abraça qualsevol nombre de dimensions. La paraula "polígon" deriva del grec πολύς (polús, 'molts') i γωνία (gōnía, 'cantonada' o 'angle). Un polygone, en géométrie euclidienne, est une figure géométrique plane formée d'une ligne brisée (appelée aussi ligne polygonale) fermée, c'est-à-dire d'une suite cyclique de segments consécutifs. Les segments sont appelés bords ou côtés et les extrémités des côtés sont appelés sommets ou coins du polygone. Un polygone est dit si au moins deux côtés non consécutifs sont sécants, et simple si l'intersection de deux côtés est vide ou réduite à un sommet pour deux côtés consécutifs. La somme des angles d'un polygone simple ( ou non) ne dépend que de son nombre de sommets. Dans le cas des , on confond souvent le polygone et son intérieur en appelant polygone la surface délimitée par la ligne polygonale fermée. La notion de polygone est généralisée : * sur une surface, par des figures dont les côtés sont des segments d'orthodromie (ligne de plus court chemin), par exemple sur la sphère par les polygones sphériques (dont les côtés sont des arcs de grand cercle) ; * en dimension 3 par les polyèdres et en dimension quelconque par les polytopes. In geometry, a polygon (/ˈpɒlɪɡɒn/) is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain (or polygonal circuit). The bounded plane region, the bounding circuit, or the two together, may be called a polygon. The segments of a polygonal circuit are called its edges or sides. The points where two edges meet are the polygon's vertices (singular: vertex) or corners. The interior of a solid polygon is sometimes called its body. An n-gon is a polygon with n sides; for example, a triangle is a 3-gon. A simple polygon is one which does not intersect itself. Mathematicians are often concerned only with the bounding polygonal chains of simple polygons and they often define a polygon accordingly. A polygonal boundary may be allowed to cross over itself, creating star polygons and other self-intersecting polygons. A polygon is a 2-dimensional example of the more general polytope in any number of dimensions. There are many more defined for different purposes. In geometria un poligono (dal greco πολύς (polys, "molti") e γωνία (gōnia, "angolo") è una figura geometrica piana delimitata da una linea spezzata chiusa. I segmenti che compongono la spezzata chiusa si chiamano lati del poligono e i punti in comune a due lati consecutivi si dicono vertici del poligono. Sa , de ghnáth, is éard is polagán ann ná figiúr déthoiseach a bhíonn cuimsithe le cosán dúnta nó ciorcad, comhdhéanta de sheicheamh críochta de mhírlínte díreacha (is é sin, le slabhra polagánach dúnta). Tugtar 'imill' nó 'taobhanna' ar na codanna seo, agus tugtar 'reanna' nó 'coirnéil' ar na pointí ina gcasann dá imeall le chéile. Is éard is m-gán ann ná polagán le 'n' taobh. Tugtar 'an corp' uaireanta ar taobh istigh pholagáin. Is sampla é an polagán déthoiseach de 'polytope' gur féidir aon líon d' uimhreacha toisí a bheith aige. Má bhíonn n taobh sa pholagón, is ionann suim na n-uillinneacha inmheánacha agus (2n-4) dronuillinn nó (n-2) π. I bpolagón rialta bíonn na taobhanna uile ar comhfhad, agus is ionann na huillinneacha inmhéanacha ag gach stuaic. Is triantán comhshleasach polagón rialta le 3 thaobh. Is cearnóg ceann le 4 thaobh. Tá líon éigríochta figúirí rialta. Многоку́тник (багатоку́тник, поліго́н) — геометрична фігура, замкнена ламана (сама, або разом із точками, що лежать усередині). Вершини цієї ламаної називають вершинами многокутника, а відрізки ламаної — сторонами многокутника. Дві вершини, що сполучаються відрізком ламаної, називаються суміжними вершинами. Дві сторони, що мають спільну вершину, називаються суміжними. Якщо дві несуміжні сторони не мають спільних точок (тобто ламана, що обмежує многокутник, не перетинається), многокутник називається простим. Dalam geometri, poligon atau segi banyak adalah bangun datar yang digambarkan dengan jumlah terhingga dari garis lurus yang terhubung, sehingga membentuk sebuah (atau sirkuit poligonal) yang tertutup. Ruas garis dari sirkuit poligonal disebut sebagai sisi. Perpotongan dari dua sisi pada poligon dikenal sebagai titik pojok. Segi-n adalah sebuah poligon yang mempunyai sisi, contohnya, segi-3 (segitiga). Poligon sederhana adalah sebuah poligon yang tidak saling berpotongan diri. Akan tetapi, para matematikawan seringkali hanya melibatkan rantai poligonal terbatas dari poligon sederhana, dan karena itu mereka seringkali mendefinisikannya sebagai poligon. Sebuah batas poligonal dapat diperbolehkan untuk berpotongan terhadap dirinya, sehingga mengakibatkan terbentuknya dan lainnya. Poligon merupakan contoh bangun dimensi dua dari politop yang lebih umum dalam sebarang dimensi. Banyak perumumannya yang didefinisikan untuk tujuan lain. Em geometria, um polígono é uma figura fechada com lados. A palavra "polígono" vem da palavra em grego "polígonos" que significa ter muitos lados ou ângulos. A definição usada por Euclides para polígono era uma figura limitada por linhas retas, sendo que essas linhas deveriam ser mais de quatro, e figura qualquer região do plano cercada por uma ou mais bordas. Plurlatero (aŭ poligono) estas geometria figuro, kiu konsistas el minimume tri punktoj en ebeno konektitaj per strekoj, tiel ke ekestas fermita figuro. Ekzemploj estas trianguloj, kvarlateroj kaj seslateroj. Wielokąt (albo wielobok) – figura płaska ograniczona linią łamaną zamkniętą, zazwyczaj jest to łamana zwyczajna. Boki tej łamanej nazywamy bokami wielokąta, zaś jej wierzchołki nazywamy wierzchołkami wielokąta. Suma kątów wewnętrznych wielokąta płaskiego o bokach: radianów = . Wielokąty można także definiować na innych powierzchniach. Bokiem łamanej (i wielokąta) jest wówczas najkrótsza w sensie obowiązującej na danej powierzchni metryki krzywa, zawierająca się w danej powierzchni i łącząca zadane dwa punkty tej powierzchni (geodezyjna). Przykładowo dla sfery odcinkiem jest łuk koła wielkiego przechodzącego przez dane dwa punkty sfery. mają ciekawe własności, na przykład suma kątów wewnętrznych trójkąta sferycznego jest zawsze większa od i ściśle związana z jego powierzchnią. Odpowiednikiem wielokąta w przestrzeni trójwymiarowej i ogólnie w przestrzeniach liniowych jest wielościan lub wielotop. Wychodząc z topologicznej definicji wielościanu, wielokąt można też ogólnie zdefiniować jako spójny zbiór stanowiący sumę skończonej liczby trójkątów, gdzie trójkąt definiujemy jako simpleks danej przestrzeni dwuwymiarowej. Wielokąt (ang. polygon) – także pojęcie w grafice komputerowej określające część siatki trójwymiarowej. Polygoner eller månghörningar är ett samlingsnamn för tvådimensionella geometriska figurer i form av slutna kurvor bestående av ett ändligt antal räta linjesegment i planet. Med undantag av triangeln och fyrhörningen (trapetset), har dessa namn efter motsvarande grekiska räkneord med efterledet -gon, från grekiska ordet för vinkel; se listan till höger. De sträckor som utgör delarna av randen kallas polygonens sidor och sidornas ändpunkter kallas polygonens hörn eller vertices (singular vertex). Alla polygoner har lika många sidor som hörn. Polygoner i vilka alla inre vinklar är mindre än 180 grader kallas konvexa; om någon inre vinkel är större än 180 grader är polygonen konkav. Polygon är det tvådimensionella fallet av det mer allmänna polytop.
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dbo:wikiPageWikiLink
dbr:Polygon
dbo:wikiPageRedirects
dbr:Polygon
Subject Item
dbr:Ngon
dbo:wikiPageWikiLink
dbr:Polygon
dbo:wikiPageRedirects
dbr:Polygon
Subject Item
dbr:Dischiliagon
dbo:wikiPageWikiLink
dbr:Polygon
dbo:wikiPageRedirects
dbr:Polygon
Subject Item
dbr:Polygon_Diagonal
dbo:wikiPageWikiLink
dbr:Polygon
dbo:wikiPageRedirects
dbr:Polygon
Subject Item
dbr:Polygon_Diameter
dbo:wikiPageWikiLink
dbr:Polygon
dbo:wikiPageRedirects
dbr:Polygon
Subject Item
dbr:Polygon_Edge
dbo:wikiPageWikiLink
dbr:Polygon
dbo:wikiPageRedirects
dbr:Polygon
Subject Item
dbr:Polygon_Vertex
dbo:wikiPageWikiLink
dbr:Polygon
dbo:wikiPageRedirects
dbr:Polygon
Subject Item
dbr:Polygon_area
dbo:wikiPageWikiLink
dbr:Polygon
dbo:wikiPageRedirects
dbr:Polygon
Subject Item
dbr:Polygon_diagonal
dbo:wikiPageWikiLink
dbr:Polygon
dbo:wikiPageRedirects
dbr:Polygon
Subject Item
dbr:Polygon_diameter
dbo:wikiPageWikiLink
dbr:Polygon
dbo:wikiPageRedirects
dbr:Polygon
Subject Item
dbr:Polygon_edge
dbo:wikiPageWikiLink
dbr:Polygon
dbo:wikiPageRedirects
dbr:Polygon
Subject Item
dbr:Polygon_vertex
dbo:wikiPageWikiLink
dbr:Polygon
dbo:wikiPageRedirects
dbr:Polygon
Subject Item
dbr:Polygonal_area
dbo:wikiPageWikiLink
dbr:Polygon
dbo:wikiPageRedirects
dbr:Polygon
Subject Item
dbr:Polygonal_region
dbo:wikiPageWikiLink
dbr:Polygon
dbo:wikiPageRedirects
dbr:Polygon
Subject Item
dbr:Regular_enneadecagon
dbo:wikiPageWikiLink
dbr:Polygon
dbo:wikiPageRedirects
dbr:Polygon
Subject Item
dbr:Regular_hectogon
dbo:wikiPageWikiLink
dbr:Polygon
dbo:wikiPageRedirects
dbr:Polygon
Subject Item
dbr:31-gon
dbo:wikiPageWikiLink
dbr:Polygon
dbo:wikiPageRedirects
dbr:Polygon
Subject Item
dbr:32-gon
dbo:wikiPageWikiLink
dbr:Polygon
dbo:wikiPageRedirects
dbr:Polygon
Subject Item
dbr:32_symmetry
dbo:wikiPageWikiLink
dbr:Polygon
dbo:wikiPageRedirects
dbr:Polygon
Subject Item
dbr:33-gon
dbo:wikiPageWikiLink
dbr:Polygon
dbo:wikiPageRedirects
dbr:Polygon
Subject Item
dbr:34-gon
dbo:wikiPageWikiLink
dbr:Polygon
dbo:wikiPageRedirects
dbr:Polygon
Subject Item
dbr:35-gon
dbo:wikiPageWikiLink
dbr:Polygon
dbo:wikiPageRedirects
dbr:Polygon
Subject Item
dbr:360_symmetry
dbo:wikiPageWikiLink
dbr:Polygon
dbo:wikiPageRedirects
dbr:Polygon
Subject Item
dbr:40-gon
dbo:wikiPageWikiLink
dbr:Polygon
dbo:wikiPageRedirects
dbr:Polygon
Subject Item
dbr:40_symmetry
dbo:wikiPageWikiLink
dbr:Polygon
dbo:wikiPageRedirects
dbr:Polygon
Subject Item
dbr:42-gon
dbo:wikiPageWikiLink
dbr:Polygon
dbo:wikiPageRedirects
dbr:Polygon
Subject Item
dbr:42_symmetry
dbo:wikiPageWikiLink
dbr:Polygon
dbo:wikiPageRedirects
dbr:Polygon
Subject Item
dbr:48-gon
dbo:wikiPageWikiLink
dbr:Polygon
dbo:wikiPageRedirects
dbr:Polygon
Subject Item
dbr:48_symmetry
dbo:wikiPageWikiLink
dbr:Polygon
dbo:wikiPageRedirects
dbr:Polygon
Subject Item
dbr:50-gon
dbo:wikiPageWikiLink
dbr:Polygon
dbo:wikiPageRedirects
dbr:Polygon
Subject Item
dbr:Diacosigon
dbo:wikiPageWikiLink
dbr:Polygon
dbo:wikiPageRedirects
dbr:Polygon
Subject Item
dbr:Hexacontakaitetragon
dbo:wikiPageWikiLink
dbr:Polygon
dbo:wikiPageRedirects
dbr:Polygon
Subject Item
dbr:Hexacosigon
dbo:wikiPageWikiLink
dbr:Polygon
dbo:wikiPageRedirects
dbr:Polygon
Subject Item
dbr:Hexahectagon
dbo:wikiPageWikiLink
dbr:Polygon
dbo:wikiPageRedirects
dbr:Polygon
Subject Item
dbr:Hexakischiliagon
dbo:wikiPageWikiLink
dbr:Polygon
dbo:wikiPageRedirects
dbr:Polygon
Subject Item
dbr:Hexecontagon
dbo:wikiPageWikiLink
dbr:Polygon
dbo:wikiPageRedirects
dbr:Polygon
Subject Item
dbr:Hexecontakaitetragon
dbo:wikiPageWikiLink
dbr:Polygon
dbo:wikiPageRedirects
dbr:Polygon
Subject Item
dbr:Hexecontatetragon
dbo:wikiPageWikiLink
dbr:Polygon
dbo:wikiPageRedirects
dbr:Polygon
Subject Item
dbr:Pentacosigon
dbo:wikiPageWikiLink
dbr:Polygon
dbo:wikiPageRedirects
dbr:Polygon
Subject Item
dbr:Pentahectagon
dbo:wikiPageWikiLink
dbr:Polygon
dbo:wikiPageRedirects
dbr:Polygon
Subject Item
dbr:Pentakischiliagon
dbo:wikiPageWikiLink
dbr:Polygon
dbo:wikiPageRedirects
dbr:Polygon
Subject Item
dbr:Pentecontagon
dbo:wikiPageWikiLink
dbr:Polygon
dbo:wikiPageRedirects
dbr:Polygon
Subject Item
dbr:22-gon
dbo:wikiPageWikiLink
dbr:Polygon
dbo:wikiPageRedirects
dbr:Polygon
Subject Item
dbr:25-gon
dbo:wikiPageWikiLink
dbr:Polygon
dbo:wikiPageRedirects
dbr:Polygon
Subject Item
dbr:26-gon
dbo:wikiPageWikiLink
dbr:Polygon
dbo:wikiPageRedirects
dbr:Polygon
Subject Item
dbr:27-gon
dbo:wikiPageWikiLink
dbr:Polygon
dbo:wikiPageRedirects
dbr:Polygon
Subject Item
dbr:28-gon
dbo:wikiPageWikiLink
dbr:Polygon
dbo:wikiPageRedirects
dbr:Polygon
Subject Item
dbr:29-gon
dbo:wikiPageWikiLink
dbr:Polygon
dbo:wikiPageRedirects
dbr:Polygon
Subject Item
dbr:Icosadigon
dbo:wikiPageWikiLink
dbr:Polygon
dbo:wikiPageRedirects
dbr:Polygon
Subject Item
dbr:Icosahexagon
dbo:wikiPageWikiLink
dbr:Polygon
dbo:wikiPageRedirects
dbr:Polygon
Subject Item
dbr:Icosaoctagon
dbo:wikiPageWikiLink
dbr:Polygon
dbo:wikiPageRedirects
dbr:Polygon
Subject Item
dbr:Icosidodecagon
dbo:wikiPageWikiLink
dbr:Polygon
dbo:wikiPageRedirects
dbr:Polygon
Subject Item
dbr:Icosikaidigon
dbo:wikiPageWikiLink
dbr:Polygon
dbo:wikiPageRedirects
dbr:Polygon
Subject Item
dbr:Icosikaihexagon
dbo:wikiPageWikiLink
dbr:Polygon
dbo:wikiPageRedirects
dbr:Polygon
Subject Item
dbr:Icosikaioctagon
dbo:wikiPageWikiLink
dbr:Polygon
dbo:wikiPageRedirects
dbr:Polygon
Subject Item
dbr:Icosimonogon
dbo:wikiPageWikiLink
dbr:Polygon
dbo:wikiPageRedirects
dbr:Polygon
Subject Item
dbr:N-gon
dbo:wikiPageWikiLink
dbr:Polygon
dbo:wikiPageRedirects
dbr:Polygon
Subject Item
dbr:N-gons
dbo:wikiPageWikiLink
dbr:Polygon
dbo:wikiPageRedirects
dbr:Polygon
Subject Item
dbr:100-gon
dbo:wikiPageWikiLink
dbr:Polygon
dbo:wikiPageRedirects
dbr:Polygon
Subject Item
dbr:120_symmetry
dbo:wikiPageWikiLink
dbr:Polygon
dbo:wikiPageRedirects
dbr:Polygon
Subject Item
dbr:All_the_2d_shapes
dbo:wikiPageWikiLink
dbr:Polygon
dbo:wikiPageRedirects
dbr:Polygon
Subject Item
dbr:Closed_polygon
dbo:wikiPageWikiLink
dbr:Polygon
dbo:wikiPageRedirects
dbr:Polygon
Subject Item
dbr:Dihectagon
dbo:wikiPageWikiLink
dbr:Polygon
dbo:wikiPageRedirects
dbr:Polygon
Subject Item
dbr:Heptacosigon
dbo:wikiPageWikiLink
dbr:Polygon
dbo:wikiPageRedirects
dbr:Polygon
Subject Item
dbr:Heptahectagon
dbo:wikiPageWikiLink
dbr:Polygon
dbo:wikiPageRedirects
dbr:Polygon
Subject Item
dbr:Heptakischiliagon
dbo:wikiPageWikiLink
dbr:Polygon
dbo:wikiPageRedirects
dbr:Polygon
Subject Item
dbr:Irregular_polygon
dbo:wikiPageWikiLink
dbr:Polygon
dbo:wikiPageRedirects
dbr:Polygon
Subject Item
dbr:Irregular_polygons
dbo:wikiPageWikiLink
dbr:Polygon
dbo:wikiPageRedirects
dbr:Polygon
Subject Item
dbr:Trihectagon
dbo:wikiPageWikiLink
dbr:Polygon
dbo:wikiPageRedirects
dbr:Polygon
Subject Item
dbr:Trischiliagon
dbo:wikiPageWikiLink
dbr:Polygon
dbo:wikiPageRedirects
dbr:Polygon
Subject Item
dbr:Names_of_Polygons
dbo:wikiPageWikiLink
dbr:Polygon
dbo:wikiPageRedirects
dbr:Polygon
Subject Item
wikipedia-en:Polygon
foaf:primaryTopic
dbr:Polygon