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Quadratrix, the Glossary

In geometry, a quadratrix is a curve having ordinates which are a measure of the area (or quadrature) of another curve.^[1]

37 relations: Abscissa and ordinate, Ancient Greek, Angle trisection, Archimedean spiral, Area, Cartesian coordinate system, Circle, Circular sector, Cochleoid, Conical surface, Curve, Cylinder, Dinostratus, Doubling the cube, Ehrenfried Walther von Tschirnhaus, Euclidean plane, Function (mathematics), Geometry, Helix, Hippias, Integer, Line (geometry), Locus (mathematics), MacTutor History of Mathematics Archive, Pappus of Alexandria, Parallel (geometry), Perpendicular, Plato, Proclus, Projection (linear algebra), Rational number, Reflection symmetry, Socrates, Squaring the circle, Straightedge and compass construction, Trigonometric functions, Zeros and poles.
Area
Squaring the circle

Abscissa and ordinate

In common usage, the abscissa refers to the x coordinate and the ordinate refers to the y coordinate of a standard two-dimensional graph.

See Quadratrix and Abscissa and ordinate

Ancient Greek

Ancient Greek (Ἑλληνῐκή) includes the forms of the Greek language used in ancient Greece and the ancient world from around 1500 BC to 300 BC.

See Quadratrix and Ancient Greek

Angle trisection

Angle trisection is a classical problem of straightedge and compass construction of ancient Greek mathematics.

See Quadratrix and Angle trisection

The Archimedean spiral (also known as Archimedes' spiral, the arithmetic spiral) is a spiral named after the 3rd-century BC Greek mathematician Archimedes. Quadratrix and Archimedean spiral are Squaring the circle.

See Quadratrix and Archimedean spiral

Area

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

See Quadratrix and Area

Cartesian coordinate system

In geometry, a Cartesian coordinate system in a plane is a coordinate system that specifies each point uniquely by a pair of real numbers called coordinates, which are the signed distances to the point from two fixed perpendicular oriented lines, called coordinate lines, coordinate axes or just axes (plural of axis) of the system.

See Quadratrix and Cartesian coordinate system

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.

See Quadratrix and Circle

Circular sector

A circular sector, also known as circle sector or disk sector or simply a sector (symbol: ⌔), is the portion of a disk (a closed region bounded by a circle) enclosed by two radii and an arc, with the smaller area being known as the minor sector and the larger being the major sector.

See Quadratrix and Circular sector

Cochleoid

In geometry, a cochleoid is a snail-shaped curve similar to a strophoid which can be represented by the polar equation the Cartesian equation or the parametric equations The cochleoid is the inverse curve of Hippias' quadratrix.

See Quadratrix and Cochleoid

Conical surface

In geometry, a conical surface is a three-dimensional surface formed from the union of lines that pass through a fixed point and a space curve.

See Quadratrix and Conical surface

Curve

In mathematics, a curve (also called a curved line in older texts) is an object similar to a line, but that does not have to be straight. Quadratrix and curve are curves.

See Quadratrix and Curve

Cylinder

A cylinder has traditionally been a three-dimensional solid, one of the most basic of curvilinear geometric shapes.

See Quadratrix and Cylinder

Dinostratus

Dinostratus (Δεινόστρατος; c. 390 – c. 320 BCE) was a Greek mathematician and geometer, and the brother of Menaechmus.

See Quadratrix and Dinostratus

Doubling the cube

Doubling the cube, also known as the Delian problem, is an ancient geometric problem.

See Quadratrix and Doubling the cube

Ehrenfried Walther von Tschirnhaus

Ehrenfried Walther von Tschirnhaus (or Tschirnhauß,; 10 April 1651 – 11 October 1708) was a German mathematician, physicist, physician, and philosopher.

See Quadratrix and Ehrenfried Walther von Tschirnhaus

Euclidean plane

In mathematics, a Euclidean plane is a Euclidean space of dimension two, denoted \textbf^2 or \mathbb^2.

See Quadratrix and Euclidean plane

Function (mathematics)

In mathematics, a function from a set to a set assigns to each element of exactly one element of.

See Quadratrix and Function (mathematics)

Geometry

Geometry is a branch of mathematics concerned with properties of space such as the distance, shape, size, and relative position of figures.

See Quadratrix and Geometry

Helix

A helix is a shape like a cylindrical coil spring or the thread of a machine screw. Quadratrix and helix are curves.

See Quadratrix and Helix

Hippias

Hippias of Elis (Ἱππίας ὁ Ἠλεῖος; late 5th century BC) was a Greek sophist, and a contemporary of Socrates.

See Quadratrix and Hippias

Integer

An integer is the number zero (0), a positive natural number (1, 2, 3,...), or the negation of a positive natural number (−1, −2, −3,...). The negations or additive inverses of the positive natural numbers are referred to as negative integers.

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Line (geometry)

In geometry, a straight line, usually abbreviated line, is an infinitely long object with no width, depth, or curvature, an idealization of such physical objects as a straightedge, a taut string, or a ray of light. Quadratrix and line (geometry) are curves.

See Quadratrix and Line (geometry)

Locus (mathematics)

In geometry, a locus (plural: loci) (Latin word for "place", "location") is a set of all points (commonly, a line, a line segment, a curve or a surface), whose location satisfies or is determined by one or more specified conditions.

See Quadratrix and Locus (mathematics)

MacTutor History of Mathematics Archive

The MacTutor History of Mathematics Archive is a website maintained by John J. O'Connor and Edmund F. Robertson and hosted by the University of St Andrews in Scotland.

See Quadratrix and MacTutor History of Mathematics Archive

Pappus of Alexandria

Pappus of Alexandria (Πάππος ὁ Ἀλεξανδρεύς; AD) was a Greek mathematician of late antiquity known for his Synagoge (Συναγωγή) or Collection, and for Pappus's hexagon theorem in projective geometry.

See Quadratrix and Pappus of Alexandria

Parallel (geometry)

In geometry, parallel lines are coplanar infinite straight lines that do not intersect at any point.

See Quadratrix and Parallel (geometry)

Perpendicular

In geometry, two geometric objects are perpendicular if their intersection forms right angles (angles that are 90 degrees or π/2 radians wide) at the point of intersection called a foot.

See Quadratrix and Perpendicular

Plato

Plato (Greek: Πλάτων), born Aristocles (Ἀριστοκλῆς; – 348 BC), was an ancient Greek philosopher of the Classical period who is considered a foundational thinker in Western philosophy and an innovator of the written dialogue and dialectic forms.

See Quadratrix and Plato

Proclus

Proclus Lycius (8 February 412 – 17 April 485), called Proclus the Successor (Πρόκλος ὁ Διάδοχος, Próklos ho Diádokhos), was a Greek Neoplatonist philosopher, one of the last major classical philosophers of late antiquity.

See Quadratrix and Proclus

Projection (linear algebra)

In linear algebra and functional analysis, a projection is a linear transformation P from a vector space to itself (an endomorphism) such that P\circ P.

See Quadratrix and Projection (linear algebra)

Rational number

In mathematics, a rational number is a number that can be expressed as the quotient or fraction of two integers, a numerator and a non-zero denominator.

See Quadratrix and Rational number

Reflection symmetry

In mathematics, reflection symmetry, line symmetry, mirror symmetry, or mirror-image symmetry is symmetry with respect to a reflection.

See Quadratrix and Reflection symmetry

Socrates

Socrates (– 399 BC) was a Greek philosopher from Athens who is credited as the founder of Western philosophy and as among the first moral philosophers of the ethical tradition of thought.

See Quadratrix and Socrates

Squaring the circle

Squaring the circle is a problem in geometry first proposed in Greek mathematics. Quadratrix and Squaring the circle are area.

See Quadratrix and Squaring the circle

Straightedge and compass construction

In geometry, straightedge-and-compass construction – also known as ruler-and-compass construction, Euclidean construction, or classical construction – is the construction of lengths, angles, and other geometric figures using only an idealized ruler and a pair of compasses.

See Quadratrix and Straightedge and compass construction

Trigonometric functions

In mathematics, the trigonometric functions (also called circular functions, angle functions or goniometric functions) are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.

See Quadratrix and Trigonometric functions

Zeros and poles

In complex analysis (a branch of mathematics), a pole is a certain type of singularity of a complex-valued function of a complex variable.

See Quadratrix and Zeros and poles

References

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

Also known as Dinostratus quadratrix, Quadratix.

Quadratrix, the Glossary

Table of Contents

See also

Area

Squaring the circle

References