ⓘ Geometry - Euclidean geometry, Kite, geometry, Euclid, Georg Friedrich Bernhard Riemann, Vollum, Nonagon, Geometry, Analytic geometry, Equilateral triangle ..

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.