Encyclopedia - Circle: Encyclopedia - Circle
A circle, in Euclidean geometry, is the set of all points at a fixed distance, called the radius, from a fixed point, the centre. The poi...   » 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 - Circle: Encyclopedia Ii - Circle - Properties
Circle - Chord properties. Chords equidistant from the centre of a circle are equal. Equal chords are equidistant from the centre. A l...   » Read the article

Encyclopedia - Chord Music: Encyclopedia - Chord Music
In music and music theory, a chord (from the Middle English cord) short for accord is three or more different notes or pitches sounding s...   » Read the article

Encyclopedia - Barre Chord: Encyclopedia - Barre Chord
Barre chords are a type of guitar chord where one or more fingers are used to fret (press down) several or all of the strings across the ...   » Read the article

Encyclopedia - Chromatic Chord: Encyclopedia - Chromatic Chord
The term chromatic chords is used to broadly describe chords used to harmonise a piece of music that are not drawn from the true notes of...   » Read the article

Encyclopedia - Chord Progression: Encyclopedia - Chord Progression
A chord progression (also chord sequence and harmonic progression or sequence), as its name implies, is a series of chords played in an o...   » Read the article

Encyclopedia - Chord Aircraft: Encyclopedia - Chord Aircraft
In reference to aircraft, chord refers to the distance between the front and back of a wing, measured in the direction of the normal airf...   » Read the article

Encyclopedia - Unit Circle: Encyclopedia - Unit Circle
In mathematics, a unit circle is a circle with unit radius, i.e., a circle whose radius is 1. Frequently, especially in trigonometry, "th...   » Read the article

Encyclopedia - Crop Circle: Encyclopedia - Crop Circle
This page is about the phenomena of crop circles. For information about the music band, please see Crop Circles. Crop circles are areas o...   » Read the article

Encyclopedia - Virtuous Circle And Vicious Circle: Encyclopedia - Virtuous Circle And Vicious Circle
In many parts of economics there is an assumption that a complex system of determinants will tend to lead to a state of equilibrium. When...   » Read the article

Encyclopedia - Circle Of Fifths: Encyclopedia - Circle Of Fifths
In music theory, the circle of fifths is an example of a modulatory space. It consists of all 12 notes of the (equally tempered) chromati...   » Read the article

Encyclopedia - Vicious Circle: Encyclopedia - Vicious Circle
The term vicious circle has the following meanings: Circular logic, a kind of logical fallacy. Virtuous circle and vicious circle, in ec...   » Read the article

Encyclopedia - Arctic Circle: Encyclopedia - Arctic Circle
The Arctic Circle is one of the five major circles of latitude that mark maps of the Earth. This is the parallel of latitude that (in 200...   » Read the article

Encyclopedia - Circle Of Latitude: Encyclopedia - Circle Of Latitude
On the Earth, a circle of latitude or parallel is an imaginary east-west circle that connects all locations with a given latitude. The po...   » Read the article

Encyclopedia - Blood Circle: Encyclopedia - Blood Circle
In Boy Scout terminology, when using a knife or axe, the area within the radius of the arm and blade length combined is called the blood ...   » Read the article

Encyclopedia - Writing Circles: Encyclopedia - Writing Circles
Writing circles are groups of like-minded people needing support for their work, either through writing critiques, workshops or classes, ...   » Read the article

Encyclopedia - Closed Circle: Encyclopedia - Closed Circle
A closed circle argument is one that is unfalsifiable. Psychoanalytic theory, for example, is held up by the proponents of Karl Popper as...   » Read the article

Encyclopedia - Crop Circles: Encyclopedia - Crop Circles
This article is about the band, Crop Circles, for information about the controversial phenomenon, see crop circle. Crop Circles was a col...   » Read the article

Encyclopedia - Circle Dance: Encyclopedia - Circle Dance
Circle dance, is the most common name for a style of dance usually done in a circle without partners to musical accompaniment. It became ...   » Read the article

Encyclopedia - Magic Circle: Encyclopedia - Magic Circle
The Magic Circle is a British organisation dedicated to magic, and magicians who want to join need to demonstrate their skills to existin...   » Read the article

Encyclopedia - Secant Line: Encyclopedia Ii - Secant Line - Secant Approximation
Consider the curve defined by y = f(x) in a Cartesian coordinate system, and consider a point P with coordinates (c, f(c)) and another po...   » Read the article

Encyclopedia - Ford Circle: Encyclopedia Ii - Ford Circle - Properties
The Ford circle associated with the fraction p/q is denoted by C[p/q] or C[p, q]. There is a Ford circle associated with every rational n...   » Read the article

Encyclopedia - Nine-point Circle: Encyclopedia Ii - Nine-point Circle - Tangent Circles
In 1822 Karl Feuerbach discovered that any triangle's nine-point circle is externally tangent to that triangle's three excircles and inte...   » Read the article

Encyclopedia - Tangent: Encyclopedia Ii - Tangent - Geometry
In plane geometry, a straight line is tangent to a curve, at some point, if both line and curve pass through the point with the same dire...   » Read the article

Encyclopedia - Tangent: Encyclopedia Ii - Tangent - Trigonometry
In trigonometry, the tangent is a function (see trigonometric function) defined as: The function is so-named because it can be defined...   » Read the article

Encyclopedia - Tangent: Encyclopedia Ii - Tangent - Calculus
A "formal" definition of the tangent requires calculus. Specifically, suppose a curve is the graph of some function, y = f(x), and we are...   » Read the article

Encyclopedia - Parabola: Encyclopedia Ii - Parabola - Reflective Property Of The Tangent
and, thirdly, line GP is equal to itself, therefore: It follows that . Line QP can be extended beyond P to some point T, and line GP ...   » Read the article

Encyclopedia - Tangent Space: Encyclopedia Ii - Tangent Space - Informal Description
In differential geometry, one can attach to every point p of a differentiable manifold a tangent space, a real vector space which intuiti...   » Read the article

Encyclopedia - Tangent Bundle: Encyclopedia Ii - Tangent Bundle - Examples
The simplest example is that of Rn. In this case the tangent bundle is trivial and isomorphic to R2n. Another simple example is the unit ...   » Read the article

Encyclopedia - Inscribed Angle: Encyclopedia Ii - Inscribed Angle - Property
An inscribed angle is said to intercept an arc on the circle. The intercepted arc is the portion of the circle that is in the interior of...   » Read the article

Encyclopedia - Tangent Space: Encyclopedia Ii - Tangent Space - Formal Definitions
There are various equivalent ways of defining the tangent spaces of a manifold. While the definition via directions of curves is quite st...   » Read the article

Encyclopedia - Chord Music: Encyclopedia Ii - Chord Music - Chord Quality
As well as major and minor, there can also be augmented and diminished triads. These four terms describe the quality of a chord. For inst...   » Read the article

Encyclopedia - Tristan Chord: Encyclopedia Ii - Tristan Chord - Analyses
Although at the same time enharmonically sounding like the half-diminished chord F - Ab - Cb - Eb, it can also be interpreted as the susp...   » Read the article

Encyclopedia - Trigonometric Function: Encyclopedia Ii - Trigonometric Function - Unit-circle Definitions
The six trigonometric functions can also be defined in terms of the unit circle, the circle of radius one centered at the origin. The uni...   » Read the article

Encyclopedia - Chord Symbol: Encyclopedia Ii - Chord Symbol - Pop Chord Symbols
Although these symbols are used occasionally in classical music as well, they are most common for lead sheets and fake books in jazz and ...   » Read the article

Encyclopedia - Trigonometric Function: Encyclopedia Ii - Trigonometric Function - Unit-circle Definitions
The six trigonometric functions can also be defined in terms of the unit circle, the circle of radius one centered at the origin. The uni...   » Read the article

Encyclopedia - Chord Music: Encyclopedia Ii - Chord Music - Chord Sequences
Chords are commonly played in sequence, much as notes are played in sequence to form melodies. Chord sequences can be conceptualised eith...   » Read the article

Encyclopedia - Chord Music: Encyclopedia Ii - Chord Music - Augmented Sixth Chords
An augmented sixth chord is a chord which contains two notes which are separated by an augmented sixth (or, by inversion, a diminished th...   » Read the article

Encyclopedia - Chord Music: Encyclopedia Ii - Chord Music - Neapolitan Sixth Chord
The Neapolitan sixth chord is a major triad with the lowered supertonic scale degree as its root. The chord is referred to as a "sixth" b...   » Read the article

Encyclopedia - Tangent Bundle: Encyclopedia Ii - Tangent Bundle - Vector Fields
A smooth assignment of a vector at each point of a manifold is called a vector field. Specifically, a vector field on a manifold M is a s...   » Read the article

Encyclopedia - Chord Music: Encyclopedia Ii - Chord Music - Simultaneity
A chord is only the harmonic function of a group of notes, and it is unnecessary for all the notes to be played together (called forming ...   » Read the article

Encyclopedia - Chord Music: Encyclopedia Ii - Chord Music - Triads
The most commonly used chords in Western music, triads are the basis of diatonic harmony, and are tertian trichords. That is, they are co...   » Read the article

Encyclopedia - Tangent Piano: Encyclopedia Ii - Tangent Piano - History
In 1440, Arnault de Zwolle described what is believed to be the first keyboard instrument which used a tangent action. It is speculated t...   » Read the article

Encyclopedia - Seventh Chord: Encyclopedia Ii - Seventh Chord - Types Of Seventh Chords
Most textbooks name these chords formally by the type of triad and type of seventh; hence, a chord consisting of a major triad and a mino...   » Read the article

Encyclopedia - Seventh Chord: Encyclopedia Ii - Seventh Chord - Major And Minor Seventh Chords
While the dominant seventh chord is typically built on the fifth (or dominant) degree of a major scale, the minor seventh chord is built ...   » Read the article

Dictionary - Odic Chord: Spiritual - Theosophy Dictionary On Odic Chord
Odic Chord The astral body, model-body, or linga-sarira is connected with the physical body by an extensible chord of astral-vital sub...   » Read the article

Encyclopedia - Tangent Bundle: Encyclopedia Ii - Tangent Bundle - Topology And Smooth Structure
The tangent bundle comes equipped with a natural topology (not the disjoint union topology) and smooth structure so as to make it into a ...   » Read the article

Dictionary - Circle: Parapsychology Dictionary On Circle
Circle: A group of people who hold sŽances.   See also Mediumship.   (See also: Circle , Psychic, Psychic Dictionary, P...   » Read the article

Dictionary - Circle: Parapsychology Dictionary On Circle
Circle: A group of people who hold séances.   See also Mediumship.   (See also: Circle , Psychic, Psychic Dictio...   » Read the article

Dictionary - Circle: Spiritual Dictionary On Circle
Circle: The magic circle is drawn in the astral world about the Magus and the place where the ritual is worked. It forms a division be...   » Read the article

Encyclopedia - Power Chord: Encyclopedia Ii - Power Chord - Fingering
On a standard tuned guitar, power chords with the bass note on the sixth or fifth string are played with one or two fingers pressing the ...   » Read the article

Encyclopedia - Chord Music: Encyclopedia Ii - Chord Music - Harmonic Analysis And Construction
Chords are named after the type of intervals they are constructed from or sometimes after the number of notes they contain. They are ofte...   » Read the article

Encyclopedia - Miami Circle: Encyclopedia Ii - Miami Circle - Discovery
The site of 401 Brickell Avenue, named for the William Brickell, co-founder of Miami in the 1870s, had held an apartment complex until 19...   » Read the article

Encyclopedia - Seventh Chord: Encyclopedia Ii - Seventh Chord - The Dominant Seventh
Of all the seventh chords, perhaps the most important to understand is the major triad with a minor seventh, also called the dominant sev...   » Read the article

Encyclopedia - Seventh Chord: Encyclopedia Ii - Seventh Chord - The Dominant Seventh
Of all the seventh chords, perhaps the most important to understand is the major-minor seventh, also called the dominant seventh chord. C...   » Read the article

Encyclopedia - Unit Circle: Encyclopedia Ii - Unit Circle - Trigonometric Functions On The Unit Circle
The trigonometric functions cosine and sine may be defined on the unit circle as follows. If (x, y) is a point of the unit circle, and if...   » Read the article

Encyclopedia - Power Chord: Encyclopedia Ii - Power Chord - Essential Features
There are two essential features of power chords: 1. Apart from octave doubling, which is optional, the chord must contain no intervals o...   » Read the article

Dictionary - Circle: New Age Spiritual Dictionary On Circle
circle 1. (Plato) Symbol of the cosmos and heaven. 2. Witches coven. 3. Mediumistic or healing group   (See also: Circle , Bo...   » Read the article

Dictionary - Circle: Spiritual - Theosophy Dictionary On Circle
Circle In the description of cosmological symbols, the first figure is a circle: ever-eternal, universal nature, the abstract space of...   » Read the article

Encyclopedia - Power Chord: Encyclopedia Ii - Power Chord - Definition And Background
Specifically, the term refers to the powerful and distinct sonic effect caused by the combination of two notes separated by the interval ...   » Read the article

Encyclopedia - Power Chord: Encyclopedia Ii - Power Chord - First Hits
The first power chord hit was "Rumble" by Link Wray and his Ray Men (1958). Another early hit song built around power chords was The Kink...   » Read the article

Encyclopedia - Diatonic Function: Encyclopedia Ii - Diatonic Function - Diatonic Functions Of Notes And Chords
Each degree of a scale, as well as many chromatically-altered notes, has a different diatonic function as does each chord built upon thos...   » Read the article

Dictionary - Circle: New Age Spirituality Dictionary On Circle
Circle A protected area in which ritual work takes place or the boundary of a sphere of personal power cast by Wiccans, ceremonial mag...   » Read the article

Encyclopedia - Power Chord: Encyclopedia Ii - Power Chord - Desirable Features
It is generally agreed that power chords sound best when the following conditions are met: 1. They sound best when the intervals lie with...   » Read the article

Encyclopedia - 2401 Penitent Tangent: Encyclopedia Ii - 2401 Penitent Tangent - Background And Role
2401 Penitent Tangent is the monitor of Installation 05, referred to by the humans as "Delta" Halo. Although it is only shown briefly dur...   » Read the article

Dictionary - Circle: Spiritual Theosophical Dictionary On Circle
Circle. There are several "Circles" with mystic adjectives attached to them. Thus we have: (1) the  "Decussated o...   » Read the article

Encyclopedia - 53 Equal Temperament: Encyclopedia Ii - 53 Equal Temperament - Chords Of 53 Equal Temperament
Standard musical notation can be used to denote 53 equal temperament; however, since it is a Pythagorean system, with nearly pure fifths,...   » Read the article

Encyclopedia - Nine-point Circle: Encyclopedia Ii - Nine-point Circle - Significant Points
Figure 1 The diagram above shows the nine significant points of the nine-point circle. Points D, E, and F are the midpoints of the three...   » Read the article

Encyclopedia - Miami Circle: Encyclopedia Ii - Miami Circle - Controversy And Resolution
The developer Baumann, keen to continue construction of his condominium, offered to pay to relocate the circle to another site for preser...   » Read the article

Encyclopedia - Nine-point Circle: Encyclopedia Ii - Nine-point Circle - Other Interesting Facts
Figure 3 Any nine-point circle bisects any line from the corresponding triangle's orthocenter to a point on its circumcircle. Figure ...   » Read the article

Dictionary - Circle: Magic Shamanism Dictionary On Circle
a group, less formal than a coven, of witches who practice, worship, celebrate, or study together   (See also: circle , Magic...   » Read the article

Dictionary - Circle: Wiccan Witchery Dictionary Ii On Circle
CIRCLE - the area in which the magickal worship and spells takes place. Can also be used to designate a particular group of Witches or...   » Read the article

Encyclopedia - Power Chord: Encyclopedia Ii - Power Chord - The Consecutive Fifths Criticism
The criticism sometimes levelled at the use of consecutive power chords, i.e., that they violate an important rule of harmony, is largely...   » Read the article

Encyclopedia - Differentiable Manifold: Encyclopedia Ii - Differentiable Manifold - Tangent Bundle
The tangent bundle is where tangent vectors live, and is itself a differentiable manifold. The Lagrangian is a function on the tangent bu...   » Read the article

Encyclopedia - Differentiable Manifold: Encyclopedia Ii - Differentiable Manifold - Tangent Bundle
The tangent bundle is where tangent vectors live, and is itself a differentiable manifold. The Lagrangian is a function on the tangent bu...   » Read the article

Dictionary - Circle: Craft Witchcraft Dictionary On Circle
CIRCLE: 1) sphere of magick, either personal or coven. 2) looser group of Wiccans, not part of a Coven. 3) should really be thought...   » Read the article

Dictionary - Circle: Paganism Pagan Dictionary On Circle
CIRCLE: The area in which the magickal worship and spells takes place. Can also be used to designate a particular group of Witches or ...   » Read the article

Dictionary - Circle: Paganism Pagan Dictionary On Circle
CIRCLE: Sacred space wherein all magick is to be worked and all ritual contained. It both holds ritual energy until the witch is ready...   » Read the article

Dictionary - Circle: Wiccan Pagan Dictionary On Circle
CIRCLE - 1. the sacred space where in all magick is to be worked and all ritual contained. The circle both contained raised energy and...   » Read the article

Encyclopedia - Gnostic Circle: Encyclopedia Ii - Gnostic Circle - The Gnostic Circle
The Gnostic Circle is a product of the yoga of Vedic Cosmologist Patrizia Norelli-Bachelet. It’s function, according to her, is to help...   » Read the article

Encyclopedia - Imperial Circle: Encyclopedia Ii - Imperial Circle - Formation Of The Circles
Initially six circles were created in 1500 as part of the Reichsreform (Imperial Reform): the Bavarian Circle the Swabian Circle the Upp...   » Read the article

Encyclopedia - Crop Circle: Encyclopedia Ii - Crop Circle - Conclusions
Carl Sagan, in his book The Demon-Haunted World, noted after the exposure of Bower and Chorley's ongoing prank that "you might think that...   » Read the article

Encyclopedia - In My Life: Encyclopedia Ii - In My Life - Chords
verse: I,I,IV;IVm;I I,I,IV;IVm;I chorus: VIm,IV,VIIb,I VIm,II,IV;IVm,I ... See also:In My Life, In My Life - Chords, In My Life - Analy...   » 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 - Crop Circle: Encyclopedia Ii - Crop Circle - Hoaxed Circles
In 1991, more than a decade after the phenomena began, two men announced that many crop circles were a hoax of their doing. Doug Bower an...   » Read the article

Encyclopedia - A Day In The Life: Encyclopedia Ii - A Day In The Life - The Chord
Following the final orchestral crescendo, the song ends with one of the most famous final chords in music history: all four Beatles, join...   » Read the article

Encyclopedia - Crop Circle: Encyclopedia Ii - Crop Circle - Hoaxed Circles
In 1991, more than a decade after the phenomena began, two men announced that many crop circles were a hoax of their doing. Doug Bower an...   » Read the article

Encyclopedia - Barbershop Music: Encyclopedia Ii - Barbershop Music - Ringing Chords
The defining characteristic of the barbershop style is the ringing chord. This is a name for one specific and well-defined acoustical eff...   » Read the article

Dictionary - Corn Circle: Parapsychology Dictionary On Corn Circle
Corn Circle: Circular (or more elaborate) formations found in growing crops, most commonly in Southern Britain. Sometimes they are as...   » Read the article

Encyclopedia - Trigonometric Function: Encyclopedia Ii - Trigonometric Function - Properties And Applications
The trigonometric functions, as the name suggests, are of crucial importance in trigonometry, mainly because of the following two results...   » Read the article

Encyclopedia - Trigonometric Function: Encyclopedia Ii - Trigonometric Function - Properties And Applications
The trigonometric functions, as the name suggests, are of crucial importance in trigonometry, mainly because of the following two results...   » Read the article

Encyclopedia - Ringed Space: Encyclopedia Ii - Ringed Space - Tangent Spaces
Locally ringed spaces have just enough structure to allow the meaningful definition of tangent spaces. Let X be locally ringed space with...   » Read the article

Dictionary - Fire Circle: Mysticism Magick Dictionary On Fire Circle
FIRE CIRCLE Egyptian term for UFO.     (See also: FIRE CIRCLE , Magick, Mysticism, Mysticism Dictionary, Body Mind and Sou...   » Read the article

Dictionary - Circle Of Protection: New Age Spirituality Dictionary On Circle Of Protection
Circle of Protection   See Circle.   (See also: Circle of Protection , New Age Spirituality, Body Mind and Soul)  ...   » Read the article

Encyclopedia - Crop Circle: Encyclopedia Ii - Crop Circle - History Of Crop Circles
The earliest recorded crop circle is supposedly depicted in a 17th Century woodcut called the Mowing-Devil. The image depicts a strange c...   » Read the article

Dictionary - Magic Circle: Mysticism Magick Dictionary On Magic Circle
MAGIC CIRCLE The purpose of the circle drawn around the magician is to keep him separated from both mundane and demonic forces. One's ...   » Read the article

Dictionary - Dream Dictionary Circle: Meaning Of Dreams About Circle
  Circle To dream of a circle, denotes that your affairs will deceive you in their proportions of gain. For a young woman to dr...   » Read the article

Encyclopedia - Circle: Encyclopedia Ii - Circle - Mathematical Definitions
In an x-y coordinate system, the circle with centre (a, b) and radius r is the set of all points (x, y) such that If the circle is cen...   » Read the article

Encyclopedia - Circle: Encyclopedia Ii - Circle - Mathematical Definitions
In an x-y coordinate system, the circle with centre (a, b) and radius r is the set of all points (x, y) such that If the circle is cen...   » Read the article