Regular polygon

In Euclidean geometry, a regular polygon is a polygon that is equiangular (all angles are equal in measure) and equilateral (all sides have the same length). Regular polygons may be convex or star. In the limit, a sequence of regular polygons with an increasing number of sides becomes a circle, if the perimeter is fixed, or a regular apeirogon, if the edge length is fixed.

General properties

These properties apply to all regular polygons, whether convex or star.

A regular n-sided polygon has rotational symmetry of order n.

All vertices of a regular polygon lie on a common circle (the circumscribed circle), i.e., they are concyclic points. That is, a regular polygon is a cyclic polygon.

Together with the property of equal-length sides, this implies that every regular polygon also has an inscribed circle or incircle that is tangent to every side at the midpoint. Thus a regular polygon is a tangential polygon.

A regular n-sided polygon can be constructed with compass and straightedge if and only if the odd prime factors of n are distinct Fermat primes. See constructible polygon.

Ass (album)

Ass is the fourth studio album by British rock band Badfinger, and their last album released on Apple Records. The opening track, "Apple of My Eye", refers to the band leaving the label to begin its new contract with Warner Bros. Records. The cover artwork, showing a donkey chasing a distant carrot, alludes to Badfinger's feelings that they had been misled by Apple over the years. The cover was painted by Grammy Award-winning artist Peter Corriston, who would later create album covers for Led Zeppelin (Physical Graffiti) and the Rolling Stones (Some Girls, Tattoo You).

Recording and release delays

Although recordings for the album began as early as 1972, shortly after the release of Straight Up, Ass wasn't released until 26 November 1973 in the US and May 1974 in the UK. The album was originally delayed because of production quality, as the band attempted to produce the album themselves after producer Todd Rundgren departed the project with just two songs recorded. After a first version of the album was rejected by the label, Apple engineer Chris Thomas was hired as a first-time producer to improve the overall recordings and make new track selections.

Octane rating

Octane rating or octane number is a standard measure of the performance of an engine or aviation fuel. The higher the octane number, the more compression the fuel can withstand before detonating (igniting). In broad terms, fuels with a higher octane rating are used in high performance gasoline engines that require higher compression ratios. In contrast, fuels with lower octane numbers (but higher cetane numbers) are ideal for diesel engines, because diesel engines (also referred to as compression-ignition engines) do not compress the fuel but rather compress only air and then inject the fuel into the air heated up by compression. Gasoline engines rely on ignition of air and fuel compressed together as a mixture without ignition, which is then ignited at the end of the compression stroke using spark plugs. Therefore, high compressibility of the fuel matters mainly for gasoline engines. Use of gasoline with lower octane numbers may lead to the problem of engine knocking.

Principles

Khan!

Khan! is an American television detective series. Set in San Francisco, it is named after the central character, a Chinese-American detective, played by Khigh Dhiegh. Evan C. Kim and Irene Yah-Ling Sun are featured as his relatives. Four episodes were aired in February 1975 on CBS. Dhiegh is best known for his portrayal of the Chinese spy Wo Fat on Hawaii Five-O from 1968 to 1980.

In an unusual move, Dhiegh insisted on having no onscreen billing for his role, despite playing the title character. In an interview to promote the show, he stated, "To be made the focal point of attention is something that disturbs me greatly. After all, we must remember it is not me, the individual, that is important. That is why I have told CBS I want no credits for the series. The goal is not to make any one person a star, but to create something that is good for all."

Episode list

References

External links

Khan

Khan or KHAN may refer to:

Popular culture

Administrative divisions of Cambodia

Cambodia is divided into 24 provinces (Khmer: ខេត្ត, khaet) (as of January 2014 New Province of Tboung Khmum split off from Kampong Cham Province) and the special administrative unit Phnom Penh (Khmer: ភ្នំពេញ, Phnom Penh). Though a different administrative unit, Phnom Penh is at province level, so de facto Cambodia has 25 provinces and municipality.

Each of Cambodia's 24 provinces is divided into Districts (Khmer: ស្រុក, Srok)- as of 2010 there are 159 districts and 12 districts in Phnom Penh (Khmer: ខណ្ឌ, Khan). Each of the provinces has one capital district (changed to "City/Town", Khmer: ក្រុង, Krong), e.g. for Siem Reap it's Srok Siem Reap. The exceptions are Banteay Meanchey, Kandal, Mondulkiri, Oddar Meanchey, Preah Vihear Province and Rattanakiri, where the province and the capital district does not match together.

District (ស្រុក, srok) of a province is divided into "Communes" (Khmer: ឃុំ, Khum). "Commune" (Khmer: ឃុំ, Khum) is further divided into "Villages" (Khmer: ភូមិ, Phum).

Nyx

Nyx (English /ˈnɪks/;Ancient Greek: Νύξ, "Night";Latin: Nox) is the Greek goddess (or personification) of the night. A shadowy figure, Nyx stood at or near the beginning of creation, and mothered other personified deities such as Hypnos (Sleep) and Thanatos (Death), with Erebus (Darkness). Her appearances are sparse in surviving mythology, but reveal her as a figure of such exceptional power and beauty, that she is feared by Zeus himself.

Mythology and literature

Hesiod

In Hesiod's Theogony, Nyx is born of Chaos. With Erebus (Darkness), Nyx gives birth to Aether (Brightness) and Hemera (Day). Later, on her own, Nyx gives birth to Moros (Doom, Destiny), Ker (Destruction, Death), Thanatos (Death), Hypnos (Sleep), the Oneiroi (Dreams), Momus (Blame), Oizys (Pain, Distress), the Hesperides, the Moirai (Fates), the Keres, Nemesis (Indignation, Retribution), Apate (Deceit), Philotes (Friendship), Geras (Old Age), and Eris (Strife).

In his description of Tartarus, Hesiod locates there the home of Nyx, and the homes of her children Hypnos and Thanatos. Hesiod says further that Nyx's daughter Hemera (Day) left Tartarus just as Nyx (Night) entered it; continuing cyclicly, when Hemera returned, Nyx left. This mirrors the portrayal of Ratri (night) in the Rigveda, where she works in close cooperation but also tension with her sister Ushas (dawn).