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En geometria, un octodecàgon o també conegut com a octadecàgon és un polígon de 18 costats i 18 vèrtexs. (ca) الثماني عشري هو مضلع له 18 ضلع و 18 زاوية. (ar) Ein Achtzehneck oder Oktodekagon ist eine geometrische Figur. Es gehört zur Gruppe der Vielecke (Polygone). Es ist definiert durch achtzehn Eckpunkte. (de) Στη γεωμετρία, το δεκαοκτάγωνο (από τις ελληνικές λέξεις δεκαοκτώ και γωνία) είναι ένα οποιοδήποτε πολύγωνο σχήμα με 18 πλευρές και 18 κορυφές. Οι εσωτερικές γωνίες οποιουδήποτε απλού δεκαοκταγώνου έχουν άθροισμα 2880 μοίρες (°). Το του δεκαοκταγώνου είναι {18}. (el) En geometría, un octodecágono u octadecágono es un polígono de 18 lados y 18 vértices. (es) Geometrian, oktodekagonoa hemezortzi alde eta hemezortzi angelu dituen poligonoa da. (eu) In geometry, an octadecagon (or octakaidecagon) or 18-gon is an eighteen-sided polygon. (en) Un octadécagone ou octakaidécagone est un polygone à 18 sommets, donc 18 côtés et 135 diagonales. La somme des angles internes d'un octadécagone non croisé vaut 2 880 degrés. (fr) Oktadekagon adalah poligon dengan 18 sisi dan sudut. Nama lain untuk poligon ini adalah oktakaidekagon. * l * * s (in) 十八角形(じゅうはちかくけい、じゅうはちかっけい、octadecagon、octakaidecagon)は、多角形の一つで、18本の辺と18個の頂点を持つ図形である。内角の和は2880°で、対角線の本数は135本である。 (ja) 십팔각형(十八角形)은 변과 각이 18인 다각형이다. 정십팔각형의 한 내각의 크기는 160도이고, 이에 따라 한 외각의 크기는 20도이며, 전체 외각의 크기는 2880도이다. 정구각형과 마찬가지로 정십팔각형도 60°의 삼등분이 불가능하므로 눈금이 없는 자와 컴퍼스만을 이용해서 작도할 수 없다. 다만 눈금 있는 자를 이용한 뉴시스 작도로는 정십팔각형의 작도가 가능하다. (ko) Un ottadecagono è un qualsiasi poligono con 18 lati ed altrettanti vertici ed angoli; l'ottadecagono regolare è caratterizzato da angoli e lati tutti congruenti tra loro. L'area A di un ottadecagono regolare di lato a è ricavabile dalla seguente formula: , mentre la somma dei suoi angoli interni, essendo pari a tanti angoli piatti quanti sono i suoi lati meno due, vale: ; ciascun angolo interno misura quindi: . (it) Een achttienhoek of octadecagoon (ook: octakaidecagoon) is een figuur met 18 hoeken en 18 zijden. Een regelmatige achttienhoek is een regelmatige veelhoek met n=18; de hoeken van een regelmatige achttienhoek zijn: De oppervlakte A voor een regelmatige achttienhoek wordt gegeven door de volgende formule (met a de lengte van een zijde): (nl) Em geometria, octodecágono é um polígono de 18 lados. (pt) Восемнадцатиугольник — это многоугольник с восемнадцатью сторонами. (ru) 十八边形是幾何學中所有有18條邊及18隻角的多邊形。 正十八邊形是有18邊的正多邊形。正十八邊形的每个內角為160°。 (zh) |
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https://de.wikibooks.org/wiki/Mathematik:_Schulmathematik:_Planimetrie:_Polygonkonstruktionen:_Neuneck%23Berechnung https://books.google.com/books%3Fid=ugBDAAAAIAAJ&lpg=PA194&ots=eu5YMWxvXz&dq=octadecagon&pg=PA194%23v=onepage&q=octadecagon&f=false https://core.ac.uk/download/pdf/82754854.pdf |
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Octadecagon (en) |
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Octadecagon (en) |
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En geometria, un octodecàgon o també conegut com a octadecàgon és un polígon de 18 costats i 18 vèrtexs. (ca) الثماني عشري هو مضلع له 18 ضلع و 18 زاوية. (ar) Ein Achtzehneck oder Oktodekagon ist eine geometrische Figur. Es gehört zur Gruppe der Vielecke (Polygone). Es ist definiert durch achtzehn Eckpunkte. (de) Στη γεωμετρία, το δεκαοκτάγωνο (από τις ελληνικές λέξεις δεκαοκτώ και γωνία) είναι ένα οποιοδήποτε πολύγωνο σχήμα με 18 πλευρές και 18 κορυφές. Οι εσωτερικές γωνίες οποιουδήποτε απλού δεκαοκταγώνου έχουν άθροισμα 2880 μοίρες (°). Το του δεκαοκταγώνου είναι {18}. (el) En geometría, un octodecágono u octadecágono es un polígono de 18 lados y 18 vértices. (es) Geometrian, oktodekagonoa hemezortzi alde eta hemezortzi angelu dituen poligonoa da. (eu) In geometry, an octadecagon (or octakaidecagon) or 18-gon is an eighteen-sided polygon. (en) Un octadécagone ou octakaidécagone est un polygone à 18 sommets, donc 18 côtés et 135 diagonales. La somme des angles internes d'un octadécagone non croisé vaut 2 880 degrés. (fr) Oktadekagon adalah poligon dengan 18 sisi dan sudut. Nama lain untuk poligon ini adalah oktakaidekagon. * l * * s (in) 十八角形(じゅうはちかくけい、じゅうはちかっけい、octadecagon、octakaidecagon)は、多角形の一つで、18本の辺と18個の頂点を持つ図形である。内角の和は2880°で、対角線の本数は135本である。 (ja) 십팔각형(十八角形)은 변과 각이 18인 다각형이다. 정십팔각형의 한 내각의 크기는 160도이고, 이에 따라 한 외각의 크기는 20도이며, 전체 외각의 크기는 2880도이다. 정구각형과 마찬가지로 정십팔각형도 60°의 삼등분이 불가능하므로 눈금이 없는 자와 컴퍼스만을 이용해서 작도할 수 없다. 다만 눈금 있는 자를 이용한 뉴시스 작도로는 정십팔각형의 작도가 가능하다. (ko) Un ottadecagono è un qualsiasi poligono con 18 lati ed altrettanti vertici ed angoli; l'ottadecagono regolare è caratterizzato da angoli e lati tutti congruenti tra loro. L'area A di un ottadecagono regolare di lato a è ricavabile dalla seguente formula: , mentre la somma dei suoi angoli interni, essendo pari a tanti angoli piatti quanti sono i suoi lati meno due, vale: ; ciascun angolo interno misura quindi: . (it) Een achttienhoek of octadecagoon (ook: octakaidecagoon) is een figuur met 18 hoeken en 18 zijden. Een regelmatige achttienhoek is een regelmatige veelhoek met n=18; de hoeken van een regelmatige achttienhoek zijn: De oppervlakte A voor een regelmatige achttienhoek wordt gegeven door de volgende formule (met a de lengte van een zijde): (nl) Em geometria, octodecágono é um polígono de 18 lados. (pt) Восемнадцатиугольник — это многоугольник с восемнадцатью сторонами. (ru) 十八边形是幾何學中所有有18條邊及18隻角的多邊形。 正十八邊形是有18邊的正多邊形。正十八邊形的每个內角為160°。 (zh) |
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ثمانية عشري الأضلاع (ar) Octodecàgon (ca) Achtzehneck (de) Δεκαοκτάγωνο (el) Octodecágono (es) Oktodekagono (eu) Octadécagone (fr) Oktadekagon (in) Ottadecagono (it) 십팔각형 (ko) 十八角形 (ja) Achttienhoek (nl) Octadecagon (en) Octodecágono (pt) Восемнадцатиугольник (ru) 十八边形 (zh) |
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