Straightedge and compass construction, the Glossary
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.[1]
Table of Contents
142 relations: Abel–Ruffini theorem, Abelian group, Abstract algebra, Addition, Alexander Bogomolny, Algebra, Algebraic extension, Algebraic number, Algorithm, Alhazen's problem, Altitude (triangle), Andrew M. Gleason, Angle, Angle trisection, Apollonius of Perga, Archimedean property, Archimedes, Argument (complex analysis), Bartel Leendert van der Waerden, Bijection, Bit, Carl Friedrich Gauss, Carlyle circle, Cartesian coordinate system, Centroid, Circle, Circular arc, Circumcircle, Compass (drawing tool), Compass equivalence theorem, Complex conjugate, Complex number, Conchoid (mathematics), Conjecture, Constructible number, Cube root, Cubic equation, David Hilbert, Decagon, Degree (angle), Division (mathematics), Dodecagon, Doubling the cube, Eccentricity (mathematics), Ellipse, Equilateral triangle, Euclid's Elements, Euclidean geometry, Euclidean plane, Ferdinand von Lindemann, ... Expand index (92 more) »
- Compass and straightedge constructions
Abel–Ruffini theorem
In mathematics, the Abel–Ruffini theorem (also known as Abel's impossibility theorem) states that there is no solution in radicals to general polynomial equations of degree five or higher with arbitrary coefficients.
See Straightedge and compass construction and Abel–Ruffini theorem
Abelian group
In mathematics, an abelian group, also called a commutative group, is a group in which the result of applying the group operation to two group elements does not depend on the order in which they are written.
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Abstract algebra
In mathematics, more specifically algebra, abstract algebra or modern algebra is the study of algebraic structures, which are sets with specific operations acting on their elements.
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Addition
Addition (usually signified by the plus symbol) is one of the four basic operations of arithmetic, the other three being subtraction, multiplication and division.
See Straightedge and compass construction and Addition
Alexander Bogomolny
Alexander Bogomolny (January 4, 1948 July 7, 2018) was a Soviet-born Israeli-American mathematician.
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Algebra
Algebra is the branch of mathematics that studies algebraic structures and the manipulation of statements within those structures.
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Algebraic extension
In mathematics, an algebraic extension is a field extension such that every element of the larger field is algebraic over the smaller field; that is, every element of is a root of a non-zero polynomial with coefficients in.
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Algebraic number
An algebraic number is a number that is a root of a non-zero polynomial (of finite degree) in one variable with integer (or, equivalently, rational) coefficients.
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Algorithm
In mathematics and computer science, an algorithm is a finite sequence of mathematically rigorous instructions, typically used to solve a class of specific problems or to perform a computation.
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Alhazen's problem
Alhazen's problem, also known as Alhazen's billiard problem, is a mathematical problem in geometrical optics first formulated by Ptolemy in 150 AD.
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Altitude (triangle)
In geometry, an altitude of a triangle is a line segment through a vertex and perpendicular to a line containing the side opposite the vertex.
See Straightedge and compass construction and Altitude (triangle)
Andrew M. Gleason
Andrew Mattei Gleason (19212008) was an American mathematician who made fundamental contributions to widely varied areas of mathematics, including the solution of Hilbert's fifth problem, and was a leader in reform and innovation in teaching at all levels.
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Angle
In Euclidean geometry, an angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.
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Angle trisection
Angle trisection is a classical problem of straightedge and compass construction of ancient Greek mathematics. Straightedge and compass construction and Angle trisection are compass and straightedge constructions.
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Apollonius of Perga
Apollonius of Perga (Ἀπολλώνιος ὁ Περγαῖος) was an ancient Greek geometer and astronomer known for his work on conic sections.
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Archimedean property
In abstract algebra and analysis, the Archimedean property, named after the ancient Greek mathematician Archimedes of Syracuse, is a property held by some algebraic structures, such as ordered or normed groups, and fields.
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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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Argument (complex analysis)
In mathematics (particularly in complex analysis), the argument of a complex number, denoted, is the angle between the positive real axis and the line joining the origin and, represented as a point in the complex plane, shown as \varphi in Figure 1.
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Bartel Leendert van der Waerden
Bartel Leendert van der Waerden (2 February 1903 – 12 January 1996) was a Dutch mathematician and historian of mathematics.
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Bijection
A bijection, bijective function, or one-to-one correspondence between two mathematical sets is a function such that each element of the first set (the domain) is mapped to exactly one element of the second set (the codomain).
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Bit
The bit is the most basic unit of information in computing and digital communication.
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Carl Friedrich Gauss
Johann Carl Friedrich Gauss (Gauß; Carolus Fridericus Gauss; 30 April 177723 February 1855) was a German mathematician, astronomer, geodesist, and physicist who contributed to many fields in mathematics and science.
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Carlyle circle
In mathematics, a Carlyle circle is a certain circle in a coordinate plane associated with a quadratic equation; it is named after Thomas Carlyle.
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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.
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Centroid
In mathematics and physics, the centroid, also known as geometric center or center of figure, of a plane figure or solid figure is the arithmetic mean position of all the points in the surface of the figure.
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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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Circular arc
A circular arc is the arc of a circle between a pair of distinct points.
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Circumcircle
In geometry, the circumscribed circle or circumcircle of a triangle is a circle that passes through all three vertices. Straightedge and compass construction and circumcircle are compass and straightedge constructions.
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A compass, more accurately known as a pair of compasses, is a technical drawing instrument that can be used for inscribing circles or arcs.
See Straightedge and compass construction and Compass (drawing tool)
Compass equivalence theorem
In geometry, the compass equivalence theorem is an important statement in compass and straightedge constructions. Straightedge and compass construction and compass equivalence theorem are compass and straightedge constructions.
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Complex conjugate
In mathematics, the complex conjugate of a complex number is the number with an equal real part and an imaginary part equal in magnitude but opposite in sign.
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Complex number
In mathematics, a complex number is an element of a number system that extends the real numbers with a specific element denoted, called the imaginary unit and satisfying the equation i^.
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Conchoid (mathematics)
In geometry, a conchoid is a curve derived from a fixed point, another curve, and a length.
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Conjecture
In mathematics, a conjecture is a conclusion or a proposition that is proffered on a tentative basis without proof.
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Constructible number
In geometry and algebra, a real number r is constructible if and only if, given a line segment of unit length, a line segment of length |r| can be constructed with compass and straightedge in a finite number of steps.
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Cube root
In mathematics, a cube root of a number is a number such that.
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Cubic equation
In algebra, a cubic equation in one variable is an equation of the form ax^3+bx^2+cx+d.
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David Hilbert
David Hilbert (23 January 1862 – 14 February 1943) was a German mathematician and one of the most influential mathematicians of his time.
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Decagon
In geometry, a decagon (from the Greek δέκα déka and γωνία gonía, "ten angles") is a ten-sided polygon or 10-gon.
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Degree (angle)
A degree (in full, a degree of arc, arc degree, or arcdegree), usually denoted by ° (the degree symbol), is a measurement of a plane angle in which one full rotation is 360 degrees.
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Division (mathematics)
Division is one of the four basic operations of arithmetic.
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Dodecagon
In geometry, a dodecagon, or 12-gon, is any twelve-sided polygon.
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Doubling the cube
Doubling the cube, also known as the Delian problem, is an ancient geometric problem. Straightedge and compass construction and Doubling the cube are compass and straightedge constructions.
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Eccentricity (mathematics)
In mathematics, the eccentricity of a conic section is a non-negative real number that uniquely characterizes its shape.
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Ellipse
In mathematics, an ellipse is a plane curve surrounding two focal points, such that for all points on the curve, the sum of the two distances to the focal points is a constant.
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Equilateral triangle
In geometry, an equilateral triangle is a triangle in which all three sides have the same length.
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Euclid's Elements
The Elements (Στοιχεῖα) is a mathematical treatise consisting of 13 books attributed to the ancient Greek mathematician Euclid 300 BC.
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Euclidean geometry
Euclidean geometry is a mathematical system attributed to ancient Greek mathematician Euclid, which he described in his textbook on geometry, Elements.
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Euclidean plane
In mathematics, a Euclidean plane is a Euclidean space of dimension two, denoted \textbf^2 or \mathbb^2.
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Ferdinand von Lindemann
Carl Louis Ferdinand von Lindemann (12 April 1852 – 6 March 1939) was a German mathematician, noted for his proof, published in 1882, that pi (pi) is a transcendental number, meaning it is not a root of any polynomial with rational coefficients.
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Fermat number
In mathematics, a Fermat number, named after Pierre de Fermat, the first known to have studied them, is a positive integer of the form:F_.
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Field (mathematics)
In mathematics, a field is a set on which addition, subtraction, multiplication, and division are defined and behave as the corresponding operations on rational and real numbers.
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Fraction
A fraction (from fractus, "broken") represents a part of a whole or, more generally, any number of equal parts.
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Geometric cryptography
Geometric cryptography is an area of cryptology where messages and ciphertexts are represented by geometric quantities such as angles or intervals and where computations are performed by ruler and compass constructions.
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Geometrography
In the mathematical field of geometry, geometrography is the study of geometrical constructions.
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Geometry
Geometry is a branch of mathematics concerned with properties of space such as the distance, shape, size, and relative position of figures.
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Greek mathematics
Greek mathematics refers to mathematics texts and ideas stemming from the Archaic through the Hellenistic and Roman periods, mostly from the 5th century BC to the 6th century AD, around the shores of the Mediterranean.
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Hendecagon
In geometry, a hendecagon (also undecagon or endecagon) or 11-gon is an eleven-sided polygon.
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Heptadecagon
In geometry, a heptadecagon, septadecagon or 17-gon is a seventeen-sided polygon.
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Heptagon
In geometry, a heptagon or septagon is a seven-sided polygon or 7-gon.
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Hexadecagon
In mathematics, a hexadecagon (sometimes called a hexakaidecagon or 16-gon) is a sixteen-sided polygon.
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Hexagon
In geometry, a hexagon (from Greek ἕξ, hex, meaning "six", and γωνία, gonía, meaning "corner, angle") is a six-sided polygon.
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Hilbert's axioms
Hilbert's axioms are a set of 20 assumptions proposed by David Hilbert in 1899 in his book Grundlagen der Geometrie (tr. The Foundations of Geometry) as the foundation for a modern treatment of Euclidean geometry.
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Hippias
Hippias of Elis (Ἱππίας ὁ Ἠλεῖος; late 5th century BC) was a Greek sophist, and a contemporary of Socrates.
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Hippocrates of Chios
Hippocrates of Chios (Ἱπποκράτης ὁ Χῖος; c. 470 – c. 410 BC) was an ancient Greek mathematician, geometer, and astronomer.
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Hyperbola
In mathematics, a hyperbola is a type of smooth curve lying in a plane, defined by its geometric properties or by equations for which it is the solution set.
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Icosagon
In geometry, an icosagon or 20-gon is a twenty-sided polygon.
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Icositetragon
In geometry, an icositetragon (or icosikaitetragon) or 24-gon is a twenty-four-sided polygon.
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Icositrigon
In geometry, an icositrigon (or icosikaitrigon) or 23-gon is a 23-sided polygon.
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Idealization (philosophy of science)
In philosophy of science, idealization is the process by which scientific models assume facts about the phenomenon being modeled that are strictly false but make models easier to understand or solve.
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If and only if
In logic and related fields such as mathematics and philosophy, "if and only if" (often shortened as "iff") is paraphrased by the biconditional, a logical connective between statements.
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Incenter
In geometry, the incenter of a triangle is a triangle center, a point defined for any triangle in a way that is independent of the triangle's placement or scale.
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Intercept theorem
The intercept theorem, also known as Thales's theorem, basic proportionality theorem or side splitter theorem, is an important theorem in elementary geometry about the ratios of various line segments that are created if two rays with a common starting point are intercepted by a pair of parallels.
See Straightedge and compass construction and Intercept theorem
Intersection
In mathematics, the intersection of two or more objects is another object consisting of everything that is contained in all of the objects simultaneously.
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John Horton Conway
John Horton Conway (26 December 1937 – 11 April 2020) was an English mathematician active in the theory of finite groups, knot theory, number theory, combinatorial game theory and coding theory.
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Journal de Mathématiques Pures et Appliquées
The Journal de Mathématiques Pures et Appliquées is a French monthly scientific journal of mathematics, founded in 1836 by Joseph Liouville (editor: 1836–1874).
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Kepler triangle
A Kepler triangle is a special right triangle with edge lengths in geometric progression.
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Kummer theory
In abstract algebra and number theory, Kummer theory provides a description of certain types of field extensions involving the adjunction of nth roots of elements of the base field.
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Limit (mathematics)
In mathematics, a limit is the value that a function (or sequence) approaches as the input (or index) approaches some value.
See Straightedge and compass construction and Limit (mathematics)
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.
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List of interactive geometry software
Interactive geometry software (IGS) or dynamic geometry environments (DGEs) are computer programs which allow one to create and then manipulate geometric constructions, primarily in plane geometry.
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List of polygons
In geometry, a polygon is traditionally a plane figure that is bounded by a finite chain of straight line segments closing in a loop to form a closed chain.
See Straightedge and compass construction and List of polygons
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.
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Mathematics of paper folding
The discipline of origami or paper folding has received a considerable amount of mathematical study.
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In geometry, a median of a triangle is a line segment joining a vertex to the midpoint of the opposite side, thus bisecting that side.
See Straightedge and compass construction and Median (geometry)
Menaechmus
Menaechmus (Μέναιχμος, 380–320 BC) was an ancient Greek mathematician, geometer and philosopher born in Alopeconnesus or Prokonnesos in the Thracian Chersonese, who was known for his friendship with the renowned philosopher Plato and for his apparent discovery of conic sections and his solution to the then-long-standing problem of doubling the cube using the parabola and hyperbola.
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Minimal polynomial (field theory)
In field theory, a branch of mathematics, the minimal polynomial of an element of an extension field of a field is, roughly speaking, the polynomial of lowest degree having coefficients in the smaller field, such that is a root of the polynomial.
See Straightedge and compass construction and Minimal polynomial (field theory)
Mohr–Mascheroni theorem
In mathematics, the Mohr–Mascheroni theorem states that any geometric construction that can be performed by a compass and straightedge can be performed by a compass alone. Straightedge and compass construction and Mohr–Mascheroni theorem are compass and straightedge constructions.
See Straightedge and compass construction and Mohr–Mascheroni theorem
Multiplication
Multiplication (often denoted by the cross symbol, by the mid-line dot operator, by juxtaposition, or, on computers, by an asterisk) is one of the four elementary mathematical operations of arithmetic, with the other ones being addition, subtraction, and division.
See Straightedge and compass construction and Multiplication
Napoleon's problem
Napoleon's problem is a compass construction problem.
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Necessity and sufficiency
In logic and mathematics, necessity and sufficiency are terms used to describe a conditional or implicational relationship between two statements.
See Straightedge and compass construction and Necessity and sufficiency
Neusis construction
In geometry, the neusis (νεῦσις;; plural: label) is a geometric construction method that was used in antiquity by Greek mathematicians.
See Straightedge and compass construction and Neusis construction
Nicomedes (mathematician)
Nicomedes (Νικομήδης; c. 280 – c. 210 BC) was an ancient Greek mathematician.
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Nonagon
In geometry, a nonagon or enneagon is a nine-sided polygon or 9-gon.
See Straightedge and compass construction and Nonagon
Octadecagon
In geometry, an octadecagon (or octakaidecagon) or 18-gon is an eighteen-sided polygon.
See Straightedge and compass construction and Octadecagon
Octagon
In geometry, an octagon is an eight-sided polygon or 8-gon.
See Straightedge and compass construction and Octagon
Ordered pair
In mathematics, an ordered pair (a, b) is a pair of objects.
See Straightedge and compass construction and Ordered pair
Orientation (vector space)
The orientation of a real vector space or simply orientation of a vector space is the arbitrary choice of which ordered bases are "positively" oriented and which are "negatively" oriented.
See Straightedge and compass construction and Orientation (vector space)
Origami
) is the Japanese art of paper folding.
See Straightedge and compass construction and Origami
Parabola
In mathematics, a parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped.
See Straightedge and compass construction and Parabola
Parlour game
A parlour or parlor game is a group game played indoors, named so as they were often played in a parlour.
See Straightedge and compass construction and Parlour game
Pentadecagon
In geometry, a pentadecagon or pentakaidecagon or 15-gon is a fifteen-sided polygon.
See Straightedge and compass construction and Pentadecagon
Pentagon
In geometry, a pentagon is any five-sided polygon or 5-gon.
See Straightedge and compass construction and Pentagon
Peter M. Neumann
Peter Michael Neumann OBE (28 December 1940 – 18 December 2020) was a British mathematician.
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Pierpont prime
In number theory, a Pierpont prime is a prime number of the form 2^u\cdot 3^v + 1\, for some nonnegative integers and.
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Pierre Wantzel
Pierre Laurent Wantzel (5 June 1814 in Paris – 21 May 1848 in Paris) was a French mathematician who proved that several ancient geometric problems were impossible to solve using only compass and straightedge.
See Straightedge and compass construction and Pierre Wantzel
Polygon
In geometry, a polygon is a plane figure made up of line segments connected to form a closed polygonal chain.
See Straightedge and compass construction and Polygon
Poncelet–Steiner theorem
In the branch of mathematics known as Euclidean geometry, the Poncelet–Steiner theorem is one of several results concerning compass and straightedge constructions having additional restrictions imposed on the traditional rules. Straightedge and compass construction and Poncelet–Steiner theorem are compass and straightedge constructions.
See Straightedge and compass construction and Poncelet–Steiner theorem
Prime number
A prime number (or a prime) is a natural number greater than 1 that is not a product of two smaller natural numbers.
See Straightedge and compass construction and Prime number
Product (mathematics)
In mathematics, a product is the result of multiplication, or an expression that identifies objects (numbers or variables) to be multiplied, called factors.
See Straightedge and compass construction and Product (mathematics)
Quadratrix
In geometry, a quadratrix is a curve having ordinates which are a measure of the area (or quadrature) of another curve.
See Straightedge and compass construction and Quadratrix
Quartic equation
In mathematics, a quartic equation is one which can be expressed as a quartic function equaling zero.
See Straightedge and compass construction and Quartic equation
Quintic function
In mathematics, a quintic function is a function of the form where,,,, and are members of a field, typically the rational numbers, the real numbers or the complex numbers, and is nonzero.
See Straightedge and compass construction and Quintic function
Radian
The radian, denoted by the symbol rad, is the unit of angle in the International System of Units (SI) and is the standard unit of angular measure used in many areas of mathematics.
See Straightedge and compass construction and Radian
Ratio
In mathematics, a ratio shows how many times one number contains another.
See Straightedge and compass construction and Ratio
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 Straightedge and compass construction and Rational number
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).
See Straightedge and compass construction and Regular polygon
Richard K. Guy
Richard Kenneth Guy (30 September 1916 – 9 March 2020) was a British mathematician.
See Straightedge and compass construction and Richard K. Guy
Ruler
A ruler, sometimes called a rule, scale or a line gauge, is an instrument used to make length measurements, whereby a user estimates a length by reading from a series of markings called "rules" along an edge of the device.
See Straightedge and compass construction and Ruler
Secant line
In geometry, a secant is a line that intersects a curve at a minimum of two distinct points.
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Sequence
In mathematics, a sequence is an enumerated collection of objects in which repetitions are allowed and order matters.
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Simon Plouffe
Simon Plouffe (born June 11, 1956) is a French Canadian mathematician who discovered the Bailey–Borwein–Plouffe formula (BBP algorithm) which permits the computation of the nth binary digit of π, in 1995.
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Sine and cosine
In mathematics, sine and cosine are trigonometric functions of an angle.
See Straightedge and compass construction and Sine and cosine
Square
In Euclidean geometry, a square is a regular quadrilateral, which means that it has four sides of equal length and four equal angles (90-degree angles, π/2 radian angles, or right angles).
See Straightedge and compass construction and Square
Square root
In mathematics, a square root of a number is a number such that y^2.
See Straightedge and compass construction and Square root
Squaring the circle
Squaring the circle is a problem in geometry first proposed in Greek mathematics. Straightedge and compass construction and Squaring the circle are compass and straightedge constructions.
See Straightedge and compass construction and Squaring the circle
Straightedge
A straightedge or straight edge is a tool used for drawing straight lines, or checking their straightness.
See Straightedge and compass construction and Straightedge
Subtraction
Subtraction (which is signified by the minus sign) is one of the four arithmetic operations along with addition, multiplication and division.
See Straightedge and compass construction and Subtraction
Summation
In mathematics, summation is the addition of a sequence of numbers, called addends or summands; the result is their sum or total.
See Straightedge and compass construction and Summation
Tangent
In geometry, the tangent line (or simply tangent) to a plane curve at a given point is, intuitively, the straight line that "just touches" the curve at that point.
See Straightedge and compass construction and Tangent
Tetradecagon
In geometry, a tetradecagon or tetrakaidecagon or 14-gon is a fourteen-sided polygon.
See Straightedge and compass construction and Tetradecagon
The American Mathematical Monthly
The American Mathematical Monthly is a mathematical journal founded by Benjamin Finkel in 1894.
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The Daily Telegraph
The Daily Telegraph, known online and elsewhere as The Telegraph, is a British daily broadsheet newspaper published in London by Telegraph Media Group and distributed in the United Kingdom and internationally.
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The Secrets of Triangles
The Secrets of Triangles: A Mathematical Journey is a popular mathematics book on the geometry of triangles.
See Straightedge and compass construction and The Secrets of Triangles
Transcendental number
In mathematics, a transcendental number is a real or complex number that is not algebraic – that is, not the root of a non-zero polynomial with integer (or, equivalently, rational) coefficients.
See Straightedge and compass construction and Transcendental number
Triacontagon
In geometry, a triacontagon or 30-gon is a thirty-sided polygon.
See Straightedge and compass construction and Triacontagon
Triangle
A triangle is a polygon with three corners and three sides, one of the basic shapes in geometry.
See Straightedge and compass construction and Triangle
Tridecagon
In geometry, a tridecagon or triskaidecagon or 13-gon is a thirteen-sided polygon.
See Straightedge and compass construction and Tridecagon
Underwood Dudley
Underwood Dudley (born January 6, 1937) is an American mathematician and writer.
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University of Oxford
The University of Oxford is a collegiate research university in Oxford, England.
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Vertex (geometry)
In geometry, a vertex (vertices or vertexes) is a point where two or more curves, lines, or edges meet or intersect.
See Straightedge and compass construction and Vertex (geometry)
257-gon
In geometry, a 257-gon is a polygon with 257 sides.
See Straightedge and compass construction and 257-gon
See also
Compass and straightedge constructions
- Angle trisection
- Circumcircle
- Compass equivalence theorem
- Doubling the cube
- Girih
- Mohr–Mascheroni theorem
- Poncelet–Steiner theorem
- Schema for horizontal dials
- Squaring the circle
- Straightedge and compass construction
References
[1] https://en.wikipedia.org/wiki/Straightedge_and_compass_construction
Also known as Classical construction, Compass & straightedge constructions, Compass and ruler, Compass and ruler construction, Compass and straightedge, Compass and straightedge construction, Compass and straightedge constructions, Compass-and-straightedge construction, Compass-and-straightedge constructions, Constructive geometry, Euclidean tools, Geometric Construction, Geometric problems of antiquity, Markable ruler, Ruler and compass, Ruler and compass construction, Ruler and compass constructions, Ruler and compasses, Ruler-and-compass construction, Ruler-and-compass constructions, Solid construction, Straightedge and compass, Straightedge and compasses, Straightedge and dividers, Straightedge-and-compass construction, Trisected an angle.
, Fermat number, Field (mathematics), Fraction, Geometric cryptography, Geometrography, Geometry, Greek mathematics, Hendecagon, Heptadecagon, Heptagon, Hexadecagon, Hexagon, Hilbert's axioms, Hippias, Hippocrates of Chios, Hyperbola, Icosagon, Icositetragon, Icositrigon, Idealization (philosophy of science), If and only if, Incenter, Intercept theorem, Intersection, John Horton Conway, Journal de Mathématiques Pures et Appliquées, Kepler triangle, Kummer theory, Limit (mathematics), Line (geometry), List of interactive geometry software, List of polygons, MacTutor History of Mathematics Archive, Mathematics of paper folding, Median (geometry), Menaechmus, Minimal polynomial (field theory), Mohr–Mascheroni theorem, Multiplication, Napoleon's problem, Necessity and sufficiency, Neusis construction, Nicomedes (mathematician), Nonagon, Octadecagon, Octagon, Ordered pair, Orientation (vector space), Origami, Parabola, Parlour game, Pentadecagon, Pentagon, Peter M. Neumann, Pierpont prime, Pierre Wantzel, Polygon, Poncelet–Steiner theorem, Prime number, Product (mathematics), Quadratrix, Quartic equation, Quintic function, Radian, Ratio, Rational number, Regular polygon, Richard K. Guy, Ruler, Secant line, Sequence, Simon Plouffe, Sine and cosine, Square, Square root, Squaring the circle, Straightedge, Subtraction, Summation, Tangent, Tetradecagon, The American Mathematical Monthly, The Daily Telegraph, The Secrets of Triangles, Transcendental number, Triacontagon, Triangle, Tridecagon, Underwood Dudley, University of Oxford, Vertex (geometry), 257-gon.