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Encyclopedia > Pentadecagon

In geometry, a pentadecagon is any 15-sided, 15-angled, polygon. A regular pentadecagon has interior angles of 156°, and with a side length a, has an area given by Geometry (Greek γεωμετρία; geo = earth, metria = measure) arose as the field of knowledge dealing with spatial relationships. ... Look up Polygon in Wiktionary, the free dictionary For other use please see Polygon (disambiguation) A polygon (literally many angle, see Wiktionary for the etymology) is a closed planar path composed of a finite number of sequential line segments. ...

A=frac{15}{4}a^2 cot frac{pi}{15} = frac{15a^2}{8} left( sqrt{3}+sqrt{15}+sqrt{2}sqrt{5+sqrt{5}} right) simeq 17.6424a^2.



'==Pentadecagon construction== A regular pentadecagon is constructible with straightedge and compass. The following animation illustrates this process in 36 steps, and is adapted from a method given in Euclid's Elements, Book IV, Proposition 16. Note that the compass radius remains unaltered during steps 14 through 21. In mathematics, there are several notions of constructibility: a point in the Euclidean plane that can be constructed with unruled straightedge and compass. ... A number of ancient problems in geometry involve the construction of lengths or angles using only an idealized ruler and compass, or more properly a straightedge and compass. ... Euclid Euclid of Alexandria (Greek: ) (ca. ... Euclids Elements (Greek: ) is a mathematical and geometric treatise, consisting of 13 books, written by the Greek mathematician Euclid around 300 BC. It comprises a collection of definitions, postulates (axioms), propositions (theorems) and proofs thereof. ...


Image File history File links PentadecagonConstructionAni. ...

Polygons
Triangle | Quadrilateral | Pentagon | Hexagon | Heptagon | Octagon | Enneagon (Nonagon) | Decagon | Hendecagon | Dodecagon | Triskaidecagon | Pentadecagon | Heptadecagon | Enneadecagon | Icosagon | Tricontagon | Pentacontagon | Hectagon | Chiliagon | Myriagon

superman Look up Polygon in Wiktionary, the free dictionary For other use please see Polygon (disambiguation) A polygon (literally many angle, see Wiktionary for the etymology) is a closed planar path composed of a finite number of sequential line segments. ... A triangle is one of the basic shapes of geometry: a two-dimensional figure with three vertices and three sides which are straight line segments. ... In geometry, a quadrilateral is a polygon with four sides and four vertices. ... In geometry, a pentagon is any five-sided polygon. ... A regular hexagon A hexagon is a polygon with six edges and six vertices. ... A heptagon is a plane figure with seven sides and seven angles. ... One of the 8 semi-regular tessellations: octagons and squares An octagon is a polygon that has eight sides. ... In geometry, an enneagon or nonagon is a nine-sided polygon. ... An image of a Regular Decagon In geometry, a decagon is any polygon with ten sides and ten angles, and usually refers to a regular decagon, having all sides of equal length and all angles equal to 144°. Its Schläfli symbol is {10}. The area of a regular decagon... Categories: Math stubs | Polygons ... A regular dodecagon A dodecagon is a polygon with exactly twelve sides. ... A triskaidecagon is a polygon with 13 sides and angles. ... Erchingers heptadecagon In geometry, a heptadecagon (or 17-gon) is a seventeen-sided polygon. ... Categories: Math stubs | Polygons ... In geometry, an icosagon is a twenty-sided polygon. ... A tricontagon is a polygon with 30 sides. ... A pentacontagon is a polygon with 50 sides. ... A hectagon is a polygon with 100 edges. ... A chiliagon is a polygon with 1000 sides. ... A myriagon is a polygon with 10,000 sides. ...


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  Results from FactBites:
 
Pentadecagon - Wikipedia, the free encyclopedia (110 words)
In geometry, a pentadecagon is any 15-sided, 15-angled, polygon.
A regular pentadecagon has interior angles of 156°, and with a side length a, has an area given by
'==Pentadecagon construction== A regular pentadecagon is constructible with straightedge and compass.
pentadecagon - OneLook Dictionary Search (86 words)
We found 5 dictionaries with English definitions that include the word pentadecagon:
Tip: Click on the first link on a line below to go directly to a page where "pentadecagon" is defined.
Pentadecagon : Eric Weisstein's World of Mathematics [home, info]
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