Conic section

In mathematics, a conic section (or simply conic) is a curve obtained as the intersection of a cone with a plane. The three types of conic section are the hyperbola, the parabola, and the ellipse. The circle is a special case of the ellipse, and is of sufficient interest in its own right that it was sometimes called a fourth type of conic section. The conic sections have been studied by the ancient Greek mathematicians with this work culminating around 200 BC, when Apollonius of Perga undertook a systematic study of their properties.

There are many distinguishing properties that the conic sections of the Euclidean plane have and many of these can, and have been, used as the basis for a definition of the conic sections. A geometric property that has been used defines a non-circular conic to be the set of those points whose distances to some particular point, called a focus, and some particular line, called a directrix, are in a fixed ratio, called the eccentricity. The type of conic is determined by the value of the eccentricity. In analytic geometry, a conic may be defined as a plane algebraic curve of degree 2, that is, as the set of points whose coordinates satisfy a quadratic equation in two variables. This equation may be written in matrix form and some geometric properties can be studied as algebraic conditions.

Carousel

A carousel (American English: from French carrousel and Italian carosello), roundabout (British English), or merry-go-round, is an amusement ride consisting of a rotating circular platform with seats for riders. The "seats" are traditionally in the form of rows of wooden horses or other animals mounted on posts, many of which are moved up and down by gearwork to simulate galloping, to the accompaniment of looped circus music. This leads to one of the alternative names in American English, the galloper. Other popular names are jumper, horseabout and flying horses.

Carousels are commonly populated with horses, each horse weighing roughly 100 lbs (45 kg), but may include diverse varieties of mounts, like pigs, zebras, tigers, or mythological creatures such as dragons or unicorns. Sometimes, chairlike or benchlike seats are used as well, and occasionally mounts can be shaped like airplanes or cars.

In a playground, a roundabout or merry-go-round is usually a simple, child-powered rotating platform with bars or handles to which children can cling while riding.

Carousel (1923 film)

Carousel (Swedish: Karusellen) is a 1923 Swedish silent drama film directed by Dimitri Buchowetzki and starring Walter Janssen, Aud Egede-Nissen and Alfons Fryland. It was one of a number of circus-themed films released during the era. It was shot at the Johannisthal Studios in Berlin and on location in Sweden and Denmark.

Cast

References

Bibliography

External links

Carousel (Melanie Martinez song)

"Carousel" is a song by American recording artist Melanie Martinez, featured on her debut EP, Dollhouse and her debut studio album, Cry Baby. A music video was released October 15, 2014. It was used as the theme song for season four of American television show American Horror Story.

Background and composition

This song is featured in a preview for FX’s anthology series, American Horror Story: Freak Show, with the theme also being a riff on the song. Melanie told the Huffington Post that American Horror Story is “absolutely, hands down” her favorite show, Martinez contacted FX about the song as soon as she heard this season’s theme would be carnival-related. After almost a year of silence, she got the call from the network just two days before the promo aired. “The whole thing was just crazy", Melanie said.

"Carousel" is labeled as indie pop, described by Melanie herself as, "My feeling in love with someone and being stuck on the same ride and trying to grab them but I never reach them".