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In [[geometry]], circumference is the distance around a closed curve; for example, a [[ci [[Category:Geometry]] ...

|bgcolor=#e7dcc3|[[Edge (geometry)|Edge]]s and [[Vertex (geometry)|vertices]]||20 In [[geometry]], an '''icosagon''' is a twenty-sided [[polygon]]. The sum of any icosagon ...

[[File:Geometry Rectangle.svg|thumb|A rectangle]] A rectangle with all four sides equal in length is called a [[square (geometry)|square]]. ...

In [[geometry]], the '''diameter''' of a [[circle]] is a line from one side directly to t [[Category:Geometry]] ...

In [[geometry]], the '''radius''' of a [[circle]] or [[sphere]] is the shortest connectio [[Category:Geometry]] ...

...sdate=10 January 2011}}</ref> [[Rectangle]]s, [[rhombus]]es, and [[Square (geometry)|squares]] are all parallelograms. ...ef>Owen Byer, Felix Lazebnik and Deirdre Smeltzer, ''Methods for Euclidean Geometry'', Mathematical Association of America, 2010, pp. 51-52.</ref><ref>Zalman U ...

It is calculated by taking the number of [[Point (geometry)|points]] in the shape, the number of [[line]]s in the shape, and the numbe |[[Hexahedron]] or [[cube (geometry)|cube]] ...

...parameter family of [[parallel]] lines. A cylinder whose [[Cross section (geometry)|cross section]] is an [[ellipse]], [[parabola]], or [[hyperbola]] is call ...Even more general is the '''generalized cylinder''': the [[Cross section (geometry)|cross-section]] can be any curve. ...

== Division by zero in geometry == ...<math>\textstyle \frac{1}{0} = \infty.</math> This infinity ([[Projective geometry|projective]] infinity) is neither a positive or a negative number, the same ...

...actly what that connection is; for some, trigonometry is just a section of geometry. ...a side or three sides are known. These laws are useful in all branches of geometry, since ''every [[polygon]] may be described as a combination of triangles'' ...

In [[differential geometry]], there exists a certain type of mathematical [[Plane (mathematics)|plane] ...this explanation is the fact that [[Euclidean geometry]] is not the actual geometry of space, but an approximation which works well at the level of human life. ...

...of the [[angle]]s of a [[right triangle]] is always equal to 90 [[degree (geometry)|degrees]]. This angle is the [[right angle]]. The two sides next to the ri The Pythagorean theorem says that the [[area]] of a [[square (geometry)|square]] on the hypotenuse is equal to the [[sum]] of the areas of the squ ...

...ch is defined as a shape with four sides, which has one set of [[parallel (geometry)|parallel]] sides. In North America, they call a trapezium as an [[irregula ...

[[Category:Geometry]] ...

[[Category:Geometry]] ...

...fter [[Albert Einstein]] and [[David Hilbert]]. The basic idea is to use [[geometry]] to model the effects of gravity. The usual form of the equations is that ...

...er branches of mathematics (e.g. [[differential equations]] and [[analytic geometry]]). It can also be applied to the real world in areas such as [[engineering ...

...[[Geometry]] || [[Trigonometry]] || [[Differential geometry]] || [[Fractal geometry]] ...[Fundamental theorem of arithmetic]] – [[Fundamental theorem of projective geometry]] – [[classification theorems of surfaces]] – [[Gauss-Bonnet theorem]] – [[ ...

...one]] is dissected by a [[Plane (mathematics)|plane]] which is [[Parallel (geometry)|parallel]] to one of the [[surface]]s of the cone, the result is a parabol ...

...ube || [[hypercube]]<BR>(n-cube) || {4,3,3} || 16 || 32 || 24<br>[[Square (geometry)|square]]s || 8<br>[[cube]]s || [[tetrahedra]] || 16-cell || ''B''<sub>4</s *[[H. S. M. Coxeter]], ''Introduction to Geometry, 2nd ed.'', John Wiley & Sons Inc., 1969. ISBN 0-471-50458-0. ...

...the [[potential energy surface]]) at the [[molecular geometry|equilibrium geometry of the molecule]]. ...

[[Category:Geometry]] ...

...er]]s &#91;m&#93;, <math display="inline">A</math> is the [[cross section (geometry)|cross-sectional]] area of the conductor measured in [[square meter]]s &#91 ...

In [[geometry]], an '''ellipse''' is a [[plane (mathematics)|plane]] [[curve]] which resu ...

...point, then the flux is zero, because the fluid just flows in [[Parallel (geometry)|parallel]] to ''S'', and neither in nor out. This also implies that if ''' ...s useful results for surface integrals can be derived using [[differential geometry]] and [[vector calculus]], such as the [[divergence theorem]], and its gene ...

...h the refractive device, it will 'bend' toward the normal.<ref>'Normal' in geometry means vertical ([[perpendicular]]) to a surface or object.</ref> When it le ...

...]] (counterclockwise) angle required to reach the point from the 0° [[ray (geometry)|ray]] or ''polar axis'' (which is equivalent to the positive [[x-axis]] in ...llennium [[BCE]]. [[Hipparchus]] (190-120 BCE) created a table of [[chord (geometry)|chord]] functions giving the length of the chord for each angle, and there ...

[[Topology|Topologically]], the Möbius strip can be defined as the [[square (geometry)|square]] [0,1] × [0,1] with its top and bottom sides [[quotient space|iden ...LiveScience]</ref><ref>{{cite journal |author= Dmitri Tymoczko |title= The Geometry of Musical Chords |date= 7 July 2006 |volume= 313 |issue= 5783 |pages= 72–7 ...

...area as it relates to the definition of the integral. Isaac Newton used [[geometry]] to describe the relationship between acceleration, velocity, and distance ...

...|function]]s of an [[angle]]; they are important when studying [[triangle (geometry)|triangles]], among many other applications. Trigonometric functions are co All triangles are taken to exist in [[Euclidean geometry]] so that the inside angles of each triangle sum to π [[radian]]s (or 180[[ ...

All [[point (geometry)|point]]s on the edge of the circle are at the same [[distance]] from the c ...

...ies of pi have allowed it to be used in many other areas of math besides [[geometry]], which studies shapes. Some of these areas are [[complex analysis]], [[tr [[Category:Geometry]] ...

The function <math>f(x) = {m}{x} + {c}</math> is a [[line (geometry)|line]]. The <math>{m}</math> shows the [[slope]] of the function and the < ...

Here ''d'' is the spacing between diffracting [[plane (geometry)|planes]], <math>\theta</math> is the incident [[angle]], ''n'' is any [[in ...

...amBendingDefinitions.svg|thumb|350x350px|[[Drawing]] of a [[cross section (geometry)|cross section]] of a bent beam showing the neutral [[wikt:axis|axis]]]] ...

In [[Euclidean geometry]], the dot product, [[Euclidean norm|length]], and [[angle]] are related. F ...[scalar resolute|scalar projection]] of '''a''' onto '''b''', or [[vector (geometry)|scalar component]] of '''a''' in the direction of '''b''' (see figure). Th ...

...then the power is called '''square''' because the [[area]] of a [[square (geometry)|square]] is calculated using <math>a^2</math>. So ...

...tional is <math>\sqrt{2}</math>. This number is irrational. If a [[square (geometry)|square]] is drawn with sides that are one unit long, the length of the lin ...

...function with a base exactly equal to ''e''. The red line is a [[Tangent (geometry)|tangent]] to the blue curve. It touches the blue curve at one point withou ...

...(a unit that is equivalent to turns per [[henry (unit)|henry]]). "[[Turn (geometry)|Turns]]" refers to the [[winding number]] of an electrical conductor compr ...

= The geometry of LPs = ...

| [[parallel (geometry)|parallel]] ...

...stant function <math>y=c</math> is a '''horizontal line''' in the [[plane (geometry)|plane]] that passes through the point <math>(0,c)</math>.<ref>{{cite web|t ...

| title=Lecture notes in analytical geometry | title=Course of Linear Algebra and Multidimensional Geometry: the textbook ...

...r&nbsp;''m'' is a square number if and only if one can compose a [[Square (geometry)|square]] of ''m'' equal (lesser) squares: ...

...[Ralph Greenberg]] has suggested an Iwasawa theory for [[motive (algebraic geometry)|motives]]. ...

...t (''r'',θ) is constant. This property can be expressed in [[differential geometry of curves|differential geometric terms]] as * Alexander Bogomolny, [http://www.cut-the-knot.org/Curriculum/Geometry/Mirabilis.shtml Spira Mirabilis - Wonderful Spiral], at [[cut-the-knot]] ...

...across (''x'' or [[wikt:horizontal|horizontal]]). If a line is [[Parallel (geometry)|parallel]] to the ''x'' axis, then its slope is zero. If a straight line w ...

...ne [[perpendicular]] (at right angles) to it. A symmetry plane [[Parallel (geometry)|parallel]] with the principal axis is dubbed ''vertical'' (σ_v) |C₂ || E C₂ || "open book geometry," chiral || [[hydrogen peroxide]] ...

...nters to more easily [[measure]] short-range features such as structural [[geometry]], bond rotation potentials, and steric interactions between near-neighbori ...

...bridized]] carbon with trigonal [[Plane (mathematics)|planar]] molecular [[geometry]]. This allows two different paths for the nucleophilic attack, one on eit ...

=== The geometry of LPs === ...

Irrational numbers often occur in [[geometry]]. For instance if we have a square which has sides of 1 meter, the distanc ...

...placed by actual real numbers before working. This form is often used in [[geometry]] and in [[system of linear equations|systems of linear equations]]. ...

<li> [<strong>Geometric distribution (II)</strong>] Prove that geometry distribution is the only discrete memoryless distribution with range values ...

Because of the [[geometry]] of the molecules involved in cheletropic reactions, they confirm a number ...

...values uniformly and independently distributed over <math>[0,1]</math>. By geometry probability, it holds that for any <math>y\in[0,1]</math>, ...

...values uniformly and independently distributed over <math>[0,1]</math>. By geometry probability, it holds that for any <math>y\in[0,1]</math>, ...

...values uniformly and independently distributed over <math>[0,1]</math>. By geometry probability, it holds that for any <math>y\in[0,1]</math>, ...

...values uniformly and independently distributed over <math>[0,1]</math>. By geometry probability, it holds that for any <math>y\in[0,1]</math>, ...

...values uniformly and independently distributed over <math>[0,1]</math>. By geometry probability, it holds that for any <math>y\in[0,1]</math>, ...

...values uniformly and independently distributed over <math>[0,1]</math>. By geometry probability, it holds that for any <math>y\in[0,1]</math>, ...