Encyclopedia - Swastika: Encyclopedia Ii - Swastika - Geometry And Symbolism
Geometrically, the swastika can be regarded as an irregular icosagon or 20-sided polygon. The arms are of varying width and are often rec...   » Read the article

Encyclopedia - Swastika: Encyclopedia Ii - Swastika - Geometry And Symbolism
Geometrically, the swastika can be regarded as an irregular icosagon or 20-sided polygon. The arms are of varying width and are often rec...   » Read the article

Encyclopedia - Swastika: Encyclopedia Ii - Swastika - Geometry And Symbolism
Geometrically, the swastika can be regarded as an irregular icosagon or 20-sided polygon. The arms are of varying width and are often rec...   » Read the article

Encyclopedia - Swastika: Encyclopedia - Swastika
The swastika (from Sanskrit svastika) is an equilateral cross with its arms bent at right angles either left-facing (卍) or right-facing...   » Read the article

Article - Sacred Geometry: Yantras - What Is A Yantra?
Sacred Geometry: YANTRAS - What is a Yantra? All ancient cultures had sacred geometric designs representative of their Gods, which had a...   » Read the article

Encyclopedia - Geometry: Encyclopedia - Geometry
Geometry (Greek γεωμετρία; geo = earth, metria = measure) arose as the field of knowledge dealing with spatial relationships. It...   » Read the article

Encyclopedia - Sacred Geometry: Encyclopedia - Sacred Geometry
Sacred geometry is geometry that is sacred to the observer or discoverer of the geometry. This meaning is sometimes described as being th...   » Read the article

Encyclopedia - Computational Geometry: Encyclopedia - Computational Geometry
In computer science, computational geometry is the study of algorithms to solve problems stated in terms of geometry. Some purely geometr...   » Read the article

Encyclopedia - Analytic Geometry: Encyclopedia - Analytic Geometry
Analytic geometry, also called coordinate geometry and earlier referred to as Cartesian geometry, is the study of geometry using the prin...   » Read the article

Encyclopedia - Congruence Geometry: Encyclopedia - Congruence Geometry
In geometry, two shapes are called congruent if one can be transformed into the other by an isometry, i.e. a combination of translations,...   » Read the article

Encyclopedia - Inversive Geometry: Encyclopedia - Inversive Geometry
In mathematics, inversive geometry is the geometry of circles and the set of transformations that map all circles into circles, where by ...   » Read the article

Encyclopedia - Algebraic Geometry: Encyclopedia - Algebraic Geometry
Algebraic geometry is a branch of mathematics which, as the name suggests, combines abstract algebra, especially commutative algebra, wit...   » Read the article

Encyclopedia - Chord Geometry: Encyclopedia - Chord Geometry
A chord of a curve is a geometric line segment whose endpoints both lie on the curve. A secant or a secant line is the line extension of ...   » Read the article

Encyclopedia - Area Geometry: Encyclopedia - Area Geometry
Area is a quantity expressing the size of a figure in the Euclidean plane or on a 2-dimensional surface. Points and lines have zero area....   » Read the article

Encyclopedia - Ackermann Steering Geometry: Encyclopedia - Ackermann Steering Geometry
Ackermann steering geometry is a geometric arrangement of linkages in the steering of a car or other vehicle designed to solve the proble...   » Read the article

Encyclopedia - Bookshelf Symbol 7: Encyclopedia - Bookshelf Symbol 7
Bookshelf Symbol 7 is a typeface which comes packaged with Microsoft Office 2003. In 2004, Microsoft released a critical update (Knowledg...   » Read the article

Encyclopedia - Solar Symbol: Encyclopedia Ii - Solar Symbol - Swastika
Swastika is a very important solar symbol. Solar symbol - Symbolism. It has several mystical symbolisms. There are "positive" and "neg...   » Read the article

Encyclopedia - Descriptive Geometry: Encyclopedia Ii - Descriptive Geometry - Heuristics
There is heuristic value to studying descriptive geometry. It promotes visualization and spatial analytical abilities. It promotes intuit...   » Read the article

Encyclopedia - Computational Geometry: Encyclopedia Ii - Computational Geometry - Numerical Geometry
This branch is also known as geometric modelling, computer-aided geometric design (CAGD), and may be often found under the keyword curves...   » Read the article

Encyclopedia - Descriptive Geometry: Encyclopedia Ii - Descriptive Geometry - General Solutions
General solutions are a class of solutions within descriptive geometry that contain all possible solutions to a problem. The general solu...   » Read the article

Encyclopedia - Conformal Geometry: Encyclopedia Ii - Conformal Geometry - Conformally Flat Geometry
Conformally flat geometry is the study of "Euclidean-like space with a point added at infinity", or a "Minkowski-like space with a couple...   » Read the article

Encyclopedia - List Of Geometry Topics: Encyclopedia Ii - List Of Geometry Topics - Euclidean Geometry Foundations
List of geometry topics - Euclidean plane geometry. 2D computer graphics 2D geometric model Curve of constant width Coordinate notatio...   » Read the article

Encyclopedia - Conformal Geometry: Encyclopedia Ii - Conformal Geometry - Conformally Curved Geometry
Conformally curved geometry (referred to by its practitioners simply as conformal geometry) is the study of a Riemannian manifold or pseu...   » Read the article

Encyclopedia - Geometry: Encyclopedia Ii - Geometry - The Earliest Geometry
The earliest recorded beginnings of geometry may be traced to Ancient Egypt (see geometry in Egypt) and Ancient Babylon (see Babylonian m...   » Read the article

Encyclopedia - Inversive Geometry: Encyclopedia Ii - Inversive Geometry - Duality Of Inversive Geometry And Hyperbolic Geometry
This is usually referred to as the (Euclidean) conformal geometry/hyperbolic geometry duality. An (n − 1)-dimensional inversi...   » Read the article

Encyclopedia - Pentagram: Encyclopedia Ii - Pentagram - Geometry
A regular pentagram is the {5/2} star polygon. It is most easily drawn by drawing a regular pentagon, joining the corners with lines and ...   » Read the article

Encyclopedia - Computational Geometry: Encyclopedia Ii - Computational Geometry - Combinatorial Computational Geometry
The primary goal of research in combinatorial computational geometry is to develop efficient algorithms and data structures for solving p...   » Read the article

Encyclopedia - Sauwastika: Encyclopedia Ii - Sauwastika - Nazi Swastika And The Sauwastika
Some contemporary writers — Servando González, for example — confuse matters even further by asserting that the right-facing swastik...   » Read the article

Encyclopedia - Solar Symbol: Encyclopedia Ii - Solar Symbol - ⊙ Circle With A Point At Its Centre
The Circle with a point at its centre (⊙) is an ancient solar symbol featuring a circle with its center marked with a dot. Solar symbo...   » Read the article

Encyclopedia - Algebraic Geometry And Analytic Geometry: Encyclopedia Ii - Algebraic Geometry And Analytic Geometry - Important Results
There is a long history of comparison results between algebraic geometry and analytic geometry, beginning in the nineteenth century and s...   » Read the article

Encyclopedia - Algebraic Geometry And Analytic Geometry: Encyclopedia Ii - Algebraic Geometry And Analytic Geometry - Introduction
Algebraic varieties are locally defined as the common zero sets of polynomials and since polynomials over the complex numbers are holomor...   » Read the article

Encyclopedia - Differential Geometry And Topology: Encyclopedia Ii - Differential Geometry And Topology - Branches Of Differential Geometry
Differential geometry and topology - Contact geometry. Contact geometry is an analog of symplectic geometry which works for certain man...   » Read the article

Encyclopedia - Information Geometry: Encyclopedia Ii - Information Geometry - Introduction
The main tenet of information geometry is that many important structures in probability theory, information theory and statistics can be ...   » Read the article

Encyclopedia - Non-euclidean Geometry: Encyclopedia Ii - Non-euclidean Geometry - History
While Euclidean geometry (named for the Greek mathematician Euclid) includes some of the oldest known mathematics, non-Euclidean geometri...   » Read the article

Encyclopedia - Euclidean Geometry: Encyclopedia Ii - Euclidean Geometry - Modern Introduction To Euclidean Geometry
Today, Euclidean geometry is usually constructed rather than axiomatized, by means of analytic geometry. If one introduces geometry this ...   » Read the article

Encyclopedia - Hyperbolic Geometry: Encyclopedia Ii - Hyperbolic Geometry - History
Hyperbolic geometry was initially explored by Giovanni Gerolamo Saccheri in the 1700s, who nevertheless believed that it was inconsistent...   » Read the article

Encyclopedia - Analytic Geometry: Encyclopedia Ii - Analytic Geometry - Example
Here is an example of a problem from the USAMTS that can be solved via analytic geometry: Problem: In a convex pentagon ABCDE, the sides ...   » Read the article

Encyclopedia - Defect Geometry: Encyclopedia Ii - Defect Geometry - Examples
The defect of any of the vertices of a cube is a right angle. The defect of any of the vertices of a regular dodecahedron (in which three...   » Read the article

Encyclopedia - Tesseract: Encyclopedia Ii - Tesseract - Geometry
The standard tesseract in Euclidean 4-space is given as the convex hull of the points (±1, ±1, ±1, ±1). That is, it consists of the p...   » Read the article

Encyclopedia - Hyperbolic Geometry: Encyclopedia Ii - Hyperbolic Geometry - Visualizing Hyperbolic Geometry
M. C. Escher's famous prints Circle Limit III and Circle Limit IV illustrate the conformal disc model quite well. In both one can see the...   » Read the article

Encyclopedia - Hyperbolic Geometry: Encyclopedia Ii - Hyperbolic Geometry - Visualizing Hyperbolic Geometry
The famous circle limit III [1] and IV [2] drawings of M. C. Escher illustrate the unit disc version of the model quite well. In both one...   » Read the article

Encyclopedia - Incidence Geometry: Encyclopedia Ii - Incidence Geometry - Collinearity
The dual of concurrency is collinearity. Three points P1, P2, and P3 in the projective plane are collinear if they all lie on the same li...   » Read the article

Encyclopedia - Congruence Geometry: Encyclopedia Ii - Congruence Geometry - Definition Of Congruence In Analytic Geometry
In a Euclidean system, congruence is fundamental; it's the counterpart of an equals sign in numerical analysis. In analytic geometry, con...   » Read the article

Encyclopedia - Incidence Geometry: Encyclopedia Ii - Incidence Geometry - Concurrence
Three lines in a projective plane are concurrent if all three of them intersect at one point. That is, given lines L1, L2, and L3; these ...   » Read the article

Encyclopedia - Interactive Geometry Software: Encyclopedia Ii - Interactive Geometry Software - 2d Programs
Interactive geometry software - C.a.R.. C.a.R. [1] a free GPL analog of GSP, written in Java. Plus: Multi-platform, Multi-lingual, Ass...   » Read the article

Encyclopedia - Noncommutative Geometry: Encyclopedia Ii - Noncommutative Geometry - Motivation
In mathematics, there is a close relationship between spaces, which are geometric in nature, and the numerical functions on them. In gene...   » Read the article

Encyclopedia - Geodesic: Encyclopedia Ii - Geodesic - Metric Geometry
In metric geometry, a geodesic is a curve which is everywhere locally a distance minimizer. More precisely, a curve γ: I → M from the ...   » Read the article

Encyclopedia - List Of Algebraic Geometry Topics: Encyclopedia Ii - List Of Algebraic Geometry Topics - Contemporary Foundations
Main article glossary of scheme theory List of algebraic geometry topics - Commutative algebra. Prime ideal Valuation (mathematics) Re...   » Read the article

Encyclopedia - Slope: Encyclopedia Ii - Slope - Geometry
The larger the absolute value of a slope, the steeper the line. A horizontal line has slope 0, a 45° rising line has a slope of +1, and ...   » Read the article

Encyclopedia - Geometry: Encyclopedia Ii - Geometry - The Late 18th And 19th Centuries
Geometry - Non-Euclidean geometry. The old problem of proving Euclid’s Fifth Postulate, the "Parallel Postulate", from his first four...   » Read the article

Encyclopedia - Inversive Geometry: Encyclopedia Ii - Inversive Geometry - The Erlangen Program
In the spirit of the Erlangen program, inversive geometry is the study of transformations generated by the Euclidean transformations toge...   » Read the article

Encyclopedia - Ricci Curvature: Encyclopedia Ii - Ricci Curvature - Global Geometry/topology And Ricci Curvature
Here is a short list of most basic results on manifolds with positive Ricci curvature. Myers theorem states that if Ricci curvature is b...   » Read the article

Encyclopedia - Inversive Geometry: Encyclopedia Ii - Inversive Geometry - Circle Inversion
Inversive geometry - Inverse of a point. In the plane, the inverse of a point P in respect to a circle of center O and radius R is a po...   » Read the article

Encyclopedia - Molecular Geometry: Encyclopedia Ii - Molecular Geometry - Bonding
Molecules, by definition, are most often held together with covalent bonds involving single, double, and/or triple bonds, where a "bond" ...   » Read the article

Encyclopedia - Congruence Geometry: Encyclopedia Ii - Congruence Geometry - Congruence Of Triangles
Two triangles are congruent if their corresponding sides and angles are equal. Usually it is sufficient to establish the equality of thre...   » Read the article

Encyclopedia - Glossary Of Riemannian And Metric Geometry: Encyclopedia Ii - Glossary Of Riemannian And Metric Geometry - A
Alexandrov space a generalization of Riemannian manifolds with upper, lower or integral curvature bounds (the last one works only in dime...   » Read the article

Encyclopedia - Distance Geometry: Encyclopedia Ii - Distance Geometry - Introduction
A straight line is the shortest path between two points. Therefore the distance from A to B is no bigger than the length of the straight-...   » Read the article

Encyclopedia - Euclidean Geometry: Encyclopedia Ii - Euclidean Geometry - Axiomatic Approach
The traditional presentation of Euclidean geometry is as an axiomatic system, setting out to prove all the "true statements" as theorems ...   » Read the article

Encyclopedia - Glossary Of Riemannian And Metric Geometry: Encyclopedia Ii - Glossary Of Riemannian And Metric Geometry - T
Totally convex. A subset K of metric space M is called totally convex if for any two points in K any shortest path connecting them lies e...   » Read the article

Encyclopedia - 16-cell: Encyclopedia Ii - 16-cell - Geometry
The hexadecachoron is a member of the family of polytopes called the cross-polytopes, which exist in all dimensions. As such, its dual po...   » Read the article

Encyclopedia - Glossary Of Riemannian And Metric Geometry: Encyclopedia Ii - Glossary Of Riemannian And Metric Geometry - S
Second fundamental form is a quadratic form on the tangent space of hypersurface, usually denoted by II, an equivalent way to describe sh...   » Read the article

Encyclopedia - Geometry: Encyclopedia Ii - Geometry - The 17th And Early 18th Centuries
In the early 17th century, there were two important developments in geometry. The first and most important was the creation of analytic g...   » Read the article

Encyclopedia - Algebraic Geometry: Encyclopedia Ii - Algebraic Geometry - Notes And History
Algebraic geometry was developed largely by the Italian geometers in the early part of the 20th century. Enriques classified algebraic su...   » Read the article

Encyclopedia - Inversive Geometry: Encyclopedia Ii - Inversive Geometry - Computer Program
The following QBasic program can be used to interactively explore the nature of inversive transformations: 'PROGRAM INVGEOM.BAS pi = 4 *...   » Read the article

Encyclopedia - Glossary Of Differential Geometry And Topology: Encyclopedia Ii - Glossary Of Differential Geometry And Topology - S
Section Submanifold. A submanifold is the image of a smooth embedding of a manifold. Submersion Surface, a two-dimensional manifold or su...   » Read the article

Encyclopedia - Algebraic Geometry: Encyclopedia Ii - Algebraic Geometry - Affine Varieties
First we start with a field k. In classical algebraic geometry, this field was always C, the complex numbers, but many of the same result...   » Read the article

Encyclopedia - Algebraic Geometry: Encyclopedia Ii - Algebraic Geometry - Affine Varieties
First we start with a field k. In classical algebraic geometry, this field was always , the complex numbers, but many of the same results...   » Read the article

Dictionary - Swastika: Hindu - Hinduism Dictionary On Swastika
swastika (svastika): (Sanskrit) "Sign of auspiciousness," From su ("wellness," "auspiciousness") and ast...   » Read the article

Dictionary - Swastika: Mysticism Magick Dictionary On Swastika
SWASTIKA Religious symbol found in Europe, Asia & America. Trevor Ravenscroft: "(In Atlantis)  under the symbol of the ...   » Read the article

Dictionary - Swastika, Svastika: Spiritual - Theosophy Dictionary On Swastika, Svastika
Swastika svastika (Sanskrit) An auspicious or lucky object; especially applied to the mystic symbol -- a cross with four equal arms, t...   » Read the article

Dictionary - Fractal Geometry: Oceanography Dictionary - Fractal Geometry
  Definition and meaning of fractal geometry:   fractal geometry - a method to study shapes that are self-similar over ma...   » Read the article

Dictionary - Sacred Geometry: Natural Medicine Dictionary On Sacred Geometry
Sacred Geometry: Sacred Geometry is used by archaeologists, anthropologists, and geometricians to encompass the religious, philosophic...   » Read the article

Dictionary - Sacred Geometry: New Age Spiritual Dictionary On Sacred Geometry
sacred geometry The way the essential creative mystery of God is rendered visible � the most cogent expression of the divine Plan kno...   » Read the article

Dictionary - Sacred Geometry: New Age Spiritual Dictionary On Sacred Geometry
sacred geometry The way the essential creative mystery of God is rendered visible – the most cogent expression of the divine Pl...   » Read the article

Encyclopedia - Swastika: Encyclopedia Ii - Swastika - History
The earliest swastika-like symbols preserved appear on pottery dated from around 4000 BC, as part of the "Vinca script". The Swastika sym...   » Read the article

Encyclopedia - Swastika: Encyclopedia Ii - Swastika - History
The earliest swastika-like symbols preserved appear on pottery dated from around 4000 BC, as part of the "Vinca script". The Swastika sym...   » Read the article

Encyclopedia - Swastika: Encyclopedia Ii - Swastika - Religion And Mythology
The swastika is found all over Hindu temples, signs, altars, pictures and iconography where it is sacred. It is used in all Hindu wedding...   » Read the article

Encyclopedia - Swastika: Encyclopedia Ii - Swastika - Overview
The swastika is a holy symbol in Hinduism, Jainism, Heathenry and Buddhism. In the West, it is more widely known as symbol of Nazism. The...   » Read the article

Encyclopedia - Swastika: Encyclopedia Ii - Swastika - History
The earliest swastika-like symbols preserved appear on pottery dating to the 5th millennium BC, as part of the "Vinca script". Pottery da...   » Read the article

Encyclopedia - Swastika: Encyclopedia Ii - Swastika - Overview
The swastika is a holy symbol in Hinduism, Jainism, Heathenry and Buddhism. In the West, it is more widely known as symbol of Nazism. The...   » Read the article

Encyclopedia - Swastika: Encyclopedia Ii - Swastika - Overview
The swastika is a holy symbol in Hinduism, Jainism and Buddhism. In the West, it is more widely known as symbol of Nazism. The motif seem...   » Read the article

Encyclopedia - Swastika: Encyclopedia Ii - Swastika - Art And Architecture
The swastika is common as a design motif in current Hindu architecture and Indian artwork as well as in ancient Western architecture, fre...   » Read the article

Encyclopedia - Swastika: Encyclopedia Ii - Swastika - Religion And Mythology
The swastika is found all over Hindu temples, signs, altars, pictures and iconography where it is sacred. It is used in all Hindu wedding...   » Read the article

Encyclopedia - Swastika: Encyclopedia Ii - Swastika - Art And Architecture
The swastika is common as a design motif in current Hindu architecture and Indian artwork as well as in ancient Western architecture, fre...   » Read the article

Encyclopedia - Swastika: Encyclopedia Ii - Swastika - Nazi Germany
The National Socialist German Workers Party (Nationalsozialistische Deutsche Arbeiterpartei or NSDAP) formally adopted the swastika or Ha...   » Read the article

Encyclopedia - Swastika: Encyclopedia Ii - Swastika - Religion And Mythology
The swastika is found all over Hindu temples, signs, altars, pictures and iconography where it is sacred. It is used in all Hindu wedding...   » Read the article

Encyclopedia - Swastika: Encyclopedia Ii - Swastika - Art And Architecture
The swastika is common as a design motif in current Hindu architecture and Indian artwork as well as in ancient Western architecture, fre...   » Read the article

Encyclopedia - Swastika: Encyclopedia Ii - Swastika - Nazi Germany
The National Socialist German Workers Party (Nationalsozialistische Deutsche Arbeiterpartei or NSDAP) formally adopted the swastika or Ha...   » Read the article

Encyclopedia - Swastika: Encyclopedia Ii - Swastika - Nazi Germany
The National Socialist German Workers Party (Nationalsozialistische Deutsche Arbeiterpartei or NSDAP) formally adopted the swastika or Ha...   » Read the article

Encyclopedia - Swastika: Encyclopedia Ii - Swastika - Early 20th Century
The British author Rudyard Kipling, who was strongly influenced by Indian culture, had a swastika on the dust jackets of all his books un...   » Read the article

Encyclopedia - Swastika: Encyclopedia Ii - Swastika - Popular Culture And Media
In 2004, Microsoft released a "critical update"[39] to remove two swastikas and a Star of David from the font Bookshelf Symbol 7. The fon...   » Read the article

Encyclopedia - Swastika: Encyclopedia Ii - Swastika - Early 20th Century
The British author Rudyard Kipling, who was strongly influenced by Indian culture, had a swastika on the dust jackets of all his books un...   » Read the article

Encyclopedia - Swastika: Encyclopedia Ii - Swastika - Taboo In Western Countries
Because of its use by Hitler and the Nazis and, in modern times, by neo-Nazis and other hate groups, for many people in the West, the swa...   » Read the article

Encyclopedia - Swastika: Encyclopedia Ii - Swastika - Popular Culture And Media
In 2004, Microsoft released a "critical update"[39] to remove two swastikas and a Star of David from the font Bookshelf Symbol 7. The fon...   » Read the article

Encyclopedia - Swastika: Encyclopedia Ii - Swastika - Taboo In Western Countries
Because of its use by Hitler and the Nazis and, in modern times, by neo-Nazis and other hate groups, for many people in the West, the swa...   » Read the article

Encyclopedia - Swastika: Encyclopedia Ii - Swastika - Early 20th Century
The British author Rudyard Kipling, who was strongly influenced by Indian culture, had a swastika on the dust jackets of all his books un...   » Read the article

Encyclopedia - Swastika: Encyclopedia Ii - Swastika - Taboo In Western Countries
Because of its use by Hitler and the Nazis and, in modern times, by neo-Nazis and other hate groups, for many people in the West, the swa...   » Read the article

Encyclopedia - Swastika: Encyclopedia Ii - Swastika - Etymology And Alternative Names
The word swastika is derived from the Sanskrit svastika (in Devanagari, स्वस्तिक), meaning any lucky or auspicious object...   » Read the article

Encyclopedia - Swastika: Encyclopedia Ii - Swastika - Etymology And Alternative Names
The word swastika is derived from the Sanskrit svastika (in Devanagari, स्वस्तिक), meaning any lucky or auspicious object...   » Read the article

Encyclopedia - Swastika: Encyclopedia Ii - Swastika - Etymology And Alternative Names
The word swastika is derived from the Sanskrit svastika (in Devanagari, स्वस्तिक), meaning any lucky or auspicious object...   » Read the article