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In [[triangle geometry]], the '''incentre''' of a triangle is the centre of the '''incircle''', a

*the area of a [[square (geometry)|square]] measuring 1 [[kilometre]] on each side

...al calculus]]. Combinatorics also studies [[code]]s, [[design]]s, [[finite geometry|finite geometries]] and [[Latin square]]s. Other branches are [[algebraic c

...s are kept constant. Partial derivatives are widely used in [[differential geometry]], [[vector calculus]], and [[physics]].

...y — that for any two of its points entirely contains the [[line (Euclidean geometry)|straight line]] joining them. ...l affine subspaces. In an axiomatic approach, basic concepts of elementary geometry, such as "point", "line" and "plane", are undefined primitives.

In [[geometry]] a '''divisor''' on an [[algebraic variety]] is a formal sum (with integer

..., but he and Reimann invented somewhat different variants of non-Euclidean geometry approximately simultaneously. [[User:Sandy Harris|Sandy Harris]] ([[User ta

In [[algebraic geometry]] the '''Riemann-Hurwitz formula''', named after [[Bernhard Riemann]] and [

...y — that for any two of its points entirely contains the [[line (Euclidean geometry)|straight line]] joining them. ...l affine subspaces. In an axiomatic approach, basic concepts of elementary geometry, such as "point", "line" and "plane", are undefined primitives.

In [[algebraic geometry]] the '''Riemann-Roch theorem''' states that if <math>C</math> is a smooth good descriptions of the geometry of the linear system.

** [[Algebraic curve]] of [[genus (geometry)|genus]] one versus [[elliptic curve]].

...l mass'' of fissile material. Furthermore, the criticality depends on the geometry of the material. When a critical mass of fissile material is sufficiently

In [[Euclidian geometry]], the sum of the three interior angles of any triangle is 180 degrees. Th ...ing definitions on a circle, and analytic definitions which do not rely on geometry.

...a German mathematician who made important contributions to [[differential geometry]], the [[complex analysis|theory of functions]], and [[number theory]]. ...d that it could have any finite dimension. Riemann's work on differential geometry was carried on by the Italian school of mathematicians, such as [[Eugenio

In [[geometry]], '''barycentric coordinates''' form a homogeneous coordinate system based

...s. There is an English translation by D. E. Smith and M. L. Lantham (''The Geometry of René Descartes'', Dover, 1954).

{{Image|Lacey D. Caskey, The Geometry of Greek Vases, p.37.jpg|right|250px|illustrating geometric proportions in <blockquote>Geometry has two great treasures; one is the Theorem of Pythagoras; the other, the d

{{r|Algebraic geometry}}

...including [[number theory]], [[statistics]], [[analysis]], [[differential geometry]], [[geodesy]], [[electromagnetism]], [[astronomy]], and [[optics]]. Gauss

...ld gradients are generated by passing current through coils of appropriate geometry.

...in contact, the [[normal force]] between the two surfaces, and the overall geometry of the bodies.

...gland in 1651. He had a prolonged dispute with John Wilkins, professor of geometry at Oxford, a much better mathematician, and this may have prevented him fro

'''Euclid's Elements''' is the oldest systematic treatise on [[Euclidean geometry]]. For more than twenty centuries the ''Elements'' was the major textbook ...It then goes on to the formulation of the five [[postulates]] of Euclidean geometry:

Arbarello, E.; Cornalba, M.; Griffiths, P. A.; Harris, J. Geometry of algebraic curves. Vol. I. Grundlehren der Mathematischen Wissenschaften

...t ship, and the vertical slope of the ship's hull, affected the engagement geometry. Even when the geometry was perfect, there were mechanical problems inside the fuze. Too hard an im

...the angle between the [[axis|axes]] which define a [[plane]] in [[analytic geometry]], units of area are called '''square ''unit''''', where ''unit'' is the un

{{r|Differential geometry}}

* Derrida, Jacques & Husserl, Edmund (1989). ''Edmund Husserl's Origin of Geometry: An Introduction''. University of Nebraska Press. ISBN

...> Radar targets associated with such threats are very different in speed, geometry, and distance than the aircraft and cruise missile targets for which AN/SPY

...type of function in [[complex analysis]], with connections to [[algebraic geometry]] and [[number theory]]. Modular forms played a key rôle in [[Andrew Wiles

...ence]]s. In mathematics, he made significant contributions to [[projective geometry]], [[probabilities]], and [[combinatorial mathematics]]. In physics, he stu

...ant" are also mapped to points which are also "distant". In [[differential geometry]], this means that one topological space can be deformed into the other by

In [[algebraic geometry]], an '''isogeny''' between [[abelian variety|abelian varieties]] is a [[ra ...r]]s is isomorphic to a quotient of the complex numbers by some [[lattice (geometry)|lattice]]. If ''E''₁ = '''C'''/''L''₁, and ''L''<su

{{r|Differential geometry}}

...ually distributed in many deposits, the value fluctuation also affects the geometry of the mineral deposit.

*Geometry

In [[algebraic geometry]] an '''Abelian surface''' over a [[field]] <math>K</math> is a two dimensi

Hidetoshi, Fukagawa, and Tony Rothman. ''Sacred Mathematics: Japanese Temple Geometry''. Princeton UP, 2008.

...try]], is an example of an '''affine space'''. Remember that in elementary geometry none of the points in the plane is special&mdash;there is no origin. A '''r From elementary geometry we know that any two points in a plane (a collection of infinitely many p

...dited Thales with numerous discoveries and advances in [[astronomy]] and [[geometry]]. ...oretical basis. His name is associated with several basic propositions of geometry: 1) that a circle is bisected by a diameter; 2) the angles at the base of a

* Geometry: Topics covered may include triangle geometry, transformation geometry, inversion,

...This is obtained by drawing [[perpendicular]] [[axis|axes]] in a [[plane (geometry)|plane]] which enable assigning a pair of [[coordinate]]s <math>(x,y)</math Otherwise, the graph of the equation will be a [[line (Euclidean geometry)|line]] in the plane, hence the name "linear equation". If the coefficient

...pace from classical to modern. For the classical approach, see [[Euclidean geometry]].</div> | [[geometry]] corresponds to an experimental reality

...tical disciplines: [[algebra]], [[number theory]], [[combinatorics]] and [[geometry]]. On each day, the problems are in increasing order of difficulty, and the ...lects a ''shortlist'' with 6-10 problems each from algebra, number theory, geometry and combinatorics.

{{cite book |title=Geometry, particles, and fields |author=Bjørn Felsager |pages=p. 358 |url=http://bo

...ce theorems, which allows us to change between the language of algebra and geometry.

In the area of [[differential geometry]] a topic of [[mathematics]] a '''Courant algebroid''' is the algebroid ver == Generalized complex geometry ==

...perly! In fact, at the moment, this is true. With the tools of algebra and geometry, we cannot study the rate of change of this function. The '''derivative''' ...g the area beneath one on an interval is impossible with just the tools of geometry and algebra. We don't even know how to define area! In fact, the definition

...to define sine and cosine in different ways. Two ways, one based on plane geometry and one based on differential equations, will be discussed below. ...cs, elementary [[algebra]] and 2-dimensional [[Euclidean geometry]] (plane geometry). <ref name="kiselev">

In [[Euclidean geometry]], the '''Pythagorean theorem''' states that: