## Euclidean geometry

Euclidean geometry is a mathematical seestem attributit tae the Alexandrian Greek mathematician Euclid, which he descrived in his textbeuk on geometry: the Elements. Euclids method consists in assumin a smaa set o intuitively appealin axioms, an deducin mony ither proposeetions frae thir. Altho mony o Euclids results haed been statit bi earlier mathematicians, Euclid wis the first tae shaw hou thir proposeetions coud fit intae a comprehensive deductive an logical seestem. The Elements begins wi plane geometry, still taught in seicontary schuil as the first axiomatic seestem an the first en ...

## Kite (geometry)

In Euclidean geometry, a kite is a quadrilateral whose fower sides can be grouped intae twa pairs o equal-length sides that are adjacent tae ilk ither. In contrast, a parallelogram haes twa pairs o equal-length sides an aw, but thay are opposite ilk ither rather nor adjacent. Kite quadrilaterals are named for the wind-blown, flyin kites, which eften hae this shape an which are in turn named for a bird. Kites are kent as deltoids an aw, but the wird "deltoid" mey refer tae a deltoid curve an aw, an unrelatit geometric object. A kite, as defined abuin, mey be either convex or concave, but th ...

## Euclid

Euclid, fl. 300 BC, kent as Euclid o Alexandria an aw, wis a Greek mathematician, eften referred tae as the "Faither o Geometry". He wis active in Alexandria durin the reign o Ptolemy I. His Elements is ane o the maist influential wirks in the history o mathematics, servin as the main textbeuk for teachin mathematics frae the time o its publication till the late 19t or early 20t century. In the Elements, Euclid deduced the principles o whit is nou cried Euclidean geometry frae a smaa set o axioms. Euclid wrote wirks on perspective, conic sections, spherical geometry, nummer theory an rigor ...

## Georg Friedrich Bernhard Riemann

Georg Friedrich Bernhard Riemann wis a German mathematician, an forby thon ane o the maist weel-kent mathematicians o aw time. His wark on Analytic Nummer Theory led tae the famous unsolved problem, the Riemann Hypothesis, cried efter the man himsel. Riemann contributit muckle advances in the field o Differential Geometry an aw, includin a hale new theory o geometry, cried Riemannian Geometry. The fact that modren Mathematics is littert wi theorems, hypotheses an ither mathematical objects cried efter Riemann shaws hou influential he wis, an conteenas tae be.

## Vollum

This airticle is aboot the pheesical object; for the meanin frae the audio field, see loodness. The vollum o an object descrives hou muckle pheesical space it taks up uisin the three dimensions o weedth, deepth, an hicht.

## Nonagon

In geometry, a nonagon / ˈ n ɒ n ə ɡ ɒ n / is a nine-sidit regular polygon. The name "nonagon" is a prefix hybrid formation, frae Laitin nonus, "ninth" + gonon, uised equivalently, attestit already in the 16t century in French nonogone an in Inglis frae the 17t century. The name "enneagon" comes frae Greek enneagonon εννεα, "nine" + γωνον from γωνία = "corner"), an is arguably mair correct, tho somewhit less common nor "nonagon". A regular nonagon haes internal angles o 140°. The aurie o a regular nonagon o side length a is gien bi A = 9 4 a 2 cot π 9 ≃ 6.18182 a 2. {\displaystyle A={\fr ...

## ⓘ Geometry

- Wikimedia Commons haes media relatit tae Geometry
- clessical mathematics, analytic geometry kent as coordinate geometry or Cartesian geometry an aw, is the study o geometry uisin a coordinate seestem. This
- Euclidean geometry is a mathematical seestem attributit tae the Alexandrian Greek mathematician Euclid, which he descrived in his textbeuk on geometry the
- In Euclidean geometry a kite is a quadrilateral whose fower sides can be grouped intae twa pairs o equal - length sides that are adjacent tae ilk ither
- an aw, wis a Greek mathematician, eften referred tae as the Faither o Geometry He wis active in Alexandria durin the reign o Ptolemy I 323 283 BC
- advances in the field o Differential Geometry an aw, includin a hale new theory o geometry cried Riemannian Geometry The fact that modren Mathematics is
- In geometry an equilateral triangle is a triangle in which aw three sides are equal. In tradeetional or Euclidean geometry equilateral triangles are
- In geometry an angle is the figure furmed bi twa rays, cried the sides o the angle, sharin a common endpoint, cried the vertex o the angle. Angles are
- In geometry a hypotenuse alternate spellin: hypothenuse is the langest side o a richt - angled triangle, the side opposite o the richt angle. Webster s

## Geometry

In mathematics, geometrie is uised ti descreive shapes. Squares, circles and triangles is a puckil o the semplest shapes in geometrie. is also used tae descreebe ae compooters raydeeus Geometrie is uised ti meisur a flet shapes aurie an pereimeter. Geometrie is uised tae meisur a solit shapes vollum an surface aurie.

## Analytic geometry

In clessical mathematics, analytic geometry, kent as coordinate geometry or Cartesian geometry an aw, is the study o geometry uisin a coordinate seestem. This contrasts wi synthetic geometry.

## Equilateral triangle

In geometry, an equilateral triangle is a triangle in which aw three sides are equal. In tradeetional or Euclidean geometry, equilateral triangles are an aa equiangular; that is, aw three internal angles are an aa congruent tae ilk ither an are each 60°. Thay are regular polygons, can tharefore an a be referred tae as regular triangles.

## Angle

In geometry, an angle is the figure furmed bi twa rays, cried the sides o the angle, sharin a common endpoint, cried the vertex o the angle. Angles are uisually presumed tae be in a Euclidean plane or in the Euclidean space, but are an aa defined in non-Euclidean geometries. In pairticular, in spherical geometry, the spherical angles are defined, uisin arcs o great circles insteid o rays.

## Radius

In geometry, a radius o a raing or speere is a line segment frau its mid pynt til its perimeter. A radius is hal the lenth o the diameter in the same raing or speere. The radius o a regular polygon is the distance frau the pynt to a vertex.

## Ben Roy Mottelson

Ben Roy Mottelson is an American-born Dens nuclear pheesicist. He wan the 1975 Nobel Prize in Pheesics for his wirk on the non-spherical geometry o atomic nuclei.