Construct · 1 fields · 2 citations

section: a standalone construct

One name. One construct. A landmark on the map.

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section1 CONSTRUCTConic sectionAPOLLONIUS · CONE CUT

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Mathematics

A curve cut from a cone

The curve produced by cutting a cone with a flat plane: depending on the tilt of the cut the outline is a circle, an ellipse, a parabola, or a hyperbola. Apollonius of Perga named and organised these curves in his treatise Conics (about 200 BCE), which introduced the words ellipse, parabola, and hyperbola and stayed the standard account for centuries; Edmond Halley's 1710 Latin edition made the full text widely available to later mathematicians. Here a section is a geometric figure, the intersection of a surface with a plane, and it has nothing to do with a slice of tissue, a part of a piece of music, or a drawing of a building.[1][2]

Unit
One curve of intersection between a plane and a cone, classified by the cutting angle
Recovery means
Not applicable
Measured by
Specified by its equation and by constants such as eccentricity, focus, and directrix

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Nearby constructs

composition3 fields · 3 citationsjingle · one word, three constructstopology4 fields · 6 citationsjingle · one word, four constructsensemble3 fields · 6 citationsjingle · one word, three constructs

References

  1. Apollonius of Perga. (ca. 200 BCE). Conics.
  2. Halley, E. (1710). Apollonii Pergaei conicorum libri octo. Oxford: Sheldonian Theatre.

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