Lists of basic topics

For a more comprehensive list, see the list of geometry topics.

Geometry is one of the main branches of mathematics and deals with space and spatial relationships. It covers the measurement, properties, and relationships of points, lines, angles, curves, planes, and shapes, in both two- and three-dimensions. Basic topics in geometry include: Contents | Basic topics | Topics | Tables | Fields | Overview | Portals | Categories Below are lists of fundamental concepts for major subject areas. ... This is list of geometry topics, by Wikipedia page. ... Calabi-Yau manifold Geometry (Greek γεωμετρία; geo = earth, metria = measure) is a part of mathematics concerned with questions of size, shape, and relative position of figures and with properties of space. ... Euclid, Greek mathematician, 3rd century BC, as imagined by by Raphael in this detail from The School of Athens. ...

Geometry Portal

Image File history File links Portal. ...

Nature of geometry

Main article: Geometry

Calabi-Yau manifold Geometry (Greek γεωμετρία; geo = earth, metria = measure) is a part of mathematics concerned with questions of size, shape, and relative position of figures and with properties of space. ...

Branches of geometry

History of geometry

Main article: History of geometry

Table of Geometry, from the 1728 Cyclopaedia. ...

Basic geometry concepts

Vectors

Main article: vector

• amplitude
• dot product
• norm (mathematics) (also known as magnitude)
• position vector
• scalar multiplication
• vector addition
• zero vector

Look up vector in Wiktionary, the free dictionary. ... Amplitude is a nonnegative scalar measure of a waves magnitude of oscillation, that is, magnitude of the maximum disturbance in the medium during one wave cycle. ... In mathematics, the dot product, also known as the scalar product, is a binary operation which takes two vectors over the real numbers R and returns a real-valued scalar quantity. ... In linear algebra, functional analysis and related areas of mathematics, a norm is a function which assigns a positive length or size to all vectors in a vector space, other than the zero vector. ... A position vector is a vector used to describe the spatial position of a point relative to a reference point called the origin (of the space). ... In mathematics, scalar multiplication is one of the basic operations defining a vector space in linear algebra (or more generally, a module in abstract algebra). ... A vector in physics and engineering typically refers to a quantity that has close relationship to the spatial coordinates, informally described as an object with a magnitude and a direction. The word vector is also now used for more general concepts (see also vector and generalizations below), but in this... In linear algebra and related areas of mathematics, the null vector or zero vector in a vector space is the uniquely-determined vector, usually written 0, that is the identity element for vector addition. ...

Basic concepts

• Geometric progression
• Geometric shape
• Geometry
• Pi
• angular velocity
• linear velocity
• De Moivre's theorem
• parallelogram rule
• Pythagorean theorem
• similar triangles
• trigonometric identity
• unit circle
• Trapezoid
• Triangle
• Theorem

Diagram showing the geometric series 1 + 1/2 + 1/4 + 1/8 + ... which converges to 2. ... In geometry, two sets of points are of the same shape precisely if one can be transformed to another by dilating (i. ... Calabi-Yau manifold Geometry (Greek γεωμετρία; geo = earth, metria = measure) is a part of mathematics concerned with questions of size, shape, and relative position of figures and with properties of space. ... When a circles diameter is 1, its circumference is π. The mathematical constant π is an irrational real number, approximately equal to 3. ... Angular velocity describes the speed of rotation and the orientation of the instantaneous axis about which the rotation occurs. ... This article or section does not cite its references or sources. ... The de Moivres Theorem may refer to: de Moivres formula - a trigonometric identity Theorem of de Moivre–Laplace - a central limit theorem Categories: | ... In mathematics, the simplest form of the parallelogram law belongs to elementary geometry. ... In mathematics, the Pythagorean theorem or Pythagoras theorem is a relation in Euclidean geometry among the three sides of a right triangle. ... Several equivalence relations in mathematics are called similarity. ... In mathematics, trigonometric identities are equations involving trigonometric functions that are true for all values of the occurring variables. ... Illustration of a unit circle. ... A trapezoid (in North America) or trapezium (in Britain and elsewhere) is a quadrilateral, which is defined as a shape with four sides, which has a pair of parallel sides. ... A triangle is one of the basic shapes of geometry: a polygon with three vertices and three sides which are straight line segments. ... Look up theorem in Wiktionary, the free dictionary. ...

Measurements

• bearing
• angle
• degree
• minute
• radian
• circumference
• diameter

Bearing is the following: Often, bearing is the state of having something as a quality, characteristic, or permanent attribute. ... An angle is the figure formed by two rays sharing a common endpoint, called the vertex of the angle. ... A degree (in full, a degree of arc, arc degree, or arcdegree), usually symbolized °, is a measurement of plane angle, representing 1／360 of a full rotation. ... A minute is a unit of time equal to 1/60th of an hour and to 60 seconds. ... Some common angles, measured in radians. ... The circumference is the distance around a closed curve. ... DIAMETER is an AAA protocol (Authentication, Authorization and Accounting) succeeding its predecessor RADIUS. // The name is a pun on the RADIUS protocol, which is the predecessor (a diameter is twice the radius). ...

Trigonometric functions

Main article: Trigonometric function

• asymptotes
• circular functions
• periodic functions
• law of cosines
• law of sines

All of the trigonometric functions of an angle θ can be constructed geometrically in terms of a unit circle centered at O. Trigonometric functions: , , , , , In mathematics, the trigonometric functions (also called circular functions) are functions of an angle; they are important when studying triangles and modeling periodic phenomena, among many other... See also Asymptotic analysis but contrast asymptotic curve. ... In mathematics, the trigonometric functions are functions of an angle, important when studying triangles and modeling periodic phenomena. ... In mathematics, a periodic function is a function that repeats its values, after adding some definite period to the variable. ... Fig. ... In trigonometry, the law of sines (or sine law) is a statement about arbitrary triangles in the plane. ...

Vector spaces and complex dimensions

• complex plane
• imaginary axis
• linear interpolation
• one-to-one
• orthogonal
• polar coordinate system
• pole
• real axis
• secant
• sector
• semiperimeter

In mathematics, the complex plane is a way of visualising the space of the complex numbers. ... In mathematics, an imaginary number (or purely imaginary number) is a complex number whose square is a negative real number. ... Linear interpolation is a process employed in mathematics, and numerous applications including computer graphics. ... You may be looking for an Injective function, in which (f(a)=f(b)) -> a=b, or a Bijection function, which is both injective and surjective (ie. ... In mathematics, orthogonal is synonymous with perpendicular when used as a simple adjective that is not part of any longer phrase with a standard definition. ... A polar grid with several angles labeled in degrees In mathematics, the polar coordinate system is a two-dimensional coordinate system in which each point on a plane is determined by an angle and a distance. ... ... Secant is a term in mathematics. ... A sector is a part of a whole. ... The semiperimeter of a mathematical shape is defined as half of the shapes perimeter. ...

Geometry scholars

Geometry lists

Main article: List of geometry topics

This is list of geometry topics, by Wikipedia page. ... The following table lists many specialized symbols commonly used in mathematics. ...

See also

Mathematics is the search for fundamental truths in pattern, quantity, and change. ... These list of mathematics articles pages collect pointers to all articles related to mathematics. ... The following table lists many specialized symbols commonly used in mathematics. ...

External links

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