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Measurement of a Circle, the Glossary

Measurement of a Circle or Dimension of the Circle (Greek: Κύκλουμέτρησις, Kuklou metrēsis) is a treatise that consists of three propositions, probably made by Archimedes, ca.^[1]

26 relations: Archimedes, Area, Cathetus, Circle, Circumference, Circumscribed circle, Continued fraction, Dover Publications, Encyclopædia Britannica, Greek language, Hieronymus Georg Zeuthen, Inscribed figure, Mathematical constant, Method of exhaustion, Ostomachion, Pell's equation, Pi, Radius, Regular polygon, Right triangle, Similarity (geometry), Square root, Square root of 3, Thomas Fantet de Lagny, Thomas Heath (classicist), Treatise.
Ancient Greek mathematical works
Works by Archimedes

Archimedes

Archimedes of Syracuse was an Ancient Greek mathematician, physicist, engineer, astronomer, and inventor from the ancient city of Syracuse in Sicily.

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Area

Area is the measure of a region's size on a surface.

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Cathetus

In a right triangle, a cathetus (originally from the Greek word Κάθετος; plural: catheti), commonly known as a leg, is either of the sides that are adjacent to the right angle.

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Circle

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

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Circumference

In geometry, the circumference (from Latin circumferens, meaning "carrying around") is the perimeter of a circle or ellipse.

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Circumscribed circle

In geometry, a circumscribed circle for a set of points is a circle passing through each of them.

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In mathematics, a continued fraction is an expression obtained through an iterative process of representing a number as the sum of its integer part and the reciprocal of another number, then writing this other number as the sum of its integer part and another reciprocal, and so on.

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Dover Publications

Dover Publications, also known as Dover Books, is an American book publisher founded in 1941 by Hayward and Blanche Cirker.

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Encyclopædia Britannica

The British Encyclopaedia is a general knowledge English-language encyclopaedia.

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Greek language

Greek (Elliniká,; Hellēnikḗ) is an independent branch of the Indo-European family of languages, native to Greece, Cyprus, Italy (in Calabria and Salento), southern Albania, and other regions of the Balkans, the Black Sea coast, Asia Minor, and the Eastern Mediterranean.

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Hieronymus Georg Zeuthen

Hieronymus Georg Zeuthen (15 February 1839 – 6 January 1920) was a Danish mathematician.

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Inscribed figure

An inscribed triangle of a circle In geometry, an inscribed planar shape or solid is one that is enclosed by and "fits snugly" inside another geometric shape or solid.

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Mathematical constant

A mathematical constant is a key number whose value is fixed by an unambiguous definition, often referred to by a special symbol (e.g., an alphabet letter), or by mathematicians' names to facilitate using it across multiple mathematical problems.

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Method of exhaustion

The method of exhaustion is a method of finding the area of a shape by inscribing inside it a sequence of polygons whose areas converge to the area of the containing shape. Measurement of a Circle and method of exhaustion are Euclidean geometry.

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Ostomachion

In ancient Greek geometry, the Ostomachion, also known as loculus Archimedius or syntomachion, is a mathematical treatise attributed to Archimedes. Measurement of a Circle and Ostomachion are ancient Greek mathematical works and Works by Archimedes.

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Pell's equation

Pell's equation, also called the Pell–Fermat equation, is any Diophantine equation of the form x^2 - ny^2.

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Pi

The number (spelled out as "pi") is a mathematical constant that is the ratio of a circle's circumference to its diameter, approximately equal to 3.14159.

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Radius

In classical geometry, a radius (radii or radiuses) of a circle or sphere is any of the line segments from its center to its perimeter, and in more modern usage, it is also their length.

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Regular polygon

In Euclidean geometry, a regular polygon is a polygon that is direct equiangular (all angles are equal in measure) and equilateral (all sides have the same length).

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Right triangle

A right triangle or right-angled triangle, sometimes called an orthogonal triangle or rectangular triangle, is a triangle in which two sides are perpendicular forming a right angle (turn or 90 degrees).

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Similarity (geometry)

In Euclidean geometry, two objects are similar if they have the same shape, or if one has the same shape as the mirror image of the other. Measurement of a Circle and Similarity (geometry) are Euclidean geometry.

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Square root

In mathematics, a square root of a number is a number such that y^2.

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Square root of 3

The square root of 3 is the positive real number that, when multiplied by itself, gives the number 3.

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Thomas Fantet de Lagny

Thomas Fantet de Lagny (7 November 1660 – 11 April 1734) was a French mathematician, well known for his contributions to computational mathematics, and for calculating π to 112 correct decimal places.

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Thomas Heath (classicist)

Sir Thomas Little Heath (5 October 1861 – 16 March 1940) was a British civil servant, mathematician, classical scholar, historian of ancient Greek mathematics, translator, and mountaineer.

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Treatise

A treatise is a formal and systematic written discourse on some subject concerned with investigating or exposing the principles of the subject and its conclusions.

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References

[1] https://en.wikipedia.org/wiki/Measurement_of_a_Circle

Also known as Measurement of the Circle, On the Measurement of a Circle, On the Measurement of the Circle, The Measurement of a Circle, The Measurement of the Circle.