A more familiar example might be this fictitious argument between John and Mary, a married couple. It should be noted that sometimes the rescuer point seems calm and even reasonable. If the words placate, soothe, calm, explain or justify, it can be considered a Rescuer response--it is an attempt to move the other person from their position. In order to give a visual of the way the participants move from one point of the triangle to another, the Persecutor position is shown in red, the Rescuer in blueSee also:

Karpman drama triangle, Karpman drama triangle - An example, Karpman drama triangle - Another example, Karpman drama triangle - Books, Karpman drama triangle - Links

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The Triangle Shirtwaist Company occupied the top three floors of the ten-story Asch building in New York City at the intersection of Greene Street and Washington Place. The company employed approximately 600 workers, mostly young female immigrants who worked fourteen-hour days, during a 60- to 72-hour workweek sewing clothes for a wage of 6 to 10 dollars per week. The Triangle Shirtwaist Company had already become well-known outside the garment industry by 1911: the massive strike by women shirtwaist makers in 1909, known as the Upris ...

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Triangle Shirtwaist Factory fire, Triangle Shirtwaist Factory fire - The fire, Triangle Shirtwaist Factory fire - The aftermath of the fire

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The centroid of a triangle is the point of intersection of its medians (the lines joining each vertex with the midpoint of the opposite side). The centroid divides each of the medians in the ratio 2:1. The centroid is the triangle's center of mass if the triangle is made from a uniform sheet of material. Its Cartesian coordinates are the means of the coordinates of the three vertices. A similar result holds for a tetrahedron: its centroid is the intersection of all line segments that connect each vertex to the centroid of the o ...

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Centroid, Centroid - Centroid of triangle and tetrahedon, Centroid - Centroids of cones and pyramids, Centroid - Centroid and convexity, Centroid - Integral formula, Centroid - Center of symmetry, Centroid - Physical centroids

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The small village of Avebury, complete with public house, is enclosed within the monument. Two local roads intersect within the monument, and visitors can walk on the earthworks. The two stone avenues (Kennet Avenue and Beckhampton Avenue) that meet at Avebury define two sides of triangle that is designated a World Heritage site and which includes The Sanctuary, Windmill Hill, Silbury Hill and the West Kennet Long Barrow. ...

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Avebury, Avebury - The monument, Avebury - Destruction of the stones, Avebury - Excavations, Avebury - Theories about Avebury, Avebury - The Avebury Triangle, Avebury - Alternative Avebury, Avebury - Film and television

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In order to define the trigonometric functions for the angle A, start with an arbitrary right triangle that contains the angle A: We use the following names for the sides of the triangle: The hypotenuse is the side opposite the right angle, or defined as the longest side of a right-angled triangle, in this case h. The opposite side is the side opposite to the angle we are interested in, in this case a. The adjacent side is the side that is in contact with the angle we are interested in and the right angl ...

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Trigonometric function, Trigonometric function - List of trigonometric functions, Trigonometric function - History, Trigonometric function - Right triangle definitions, Trigonometric function - Mnemonics, Trigonometric function - Slope definitions, Trigonometric function - Unit-circle definitions, Trigonometric function - Series definitions, Trigonometric function - Relationship to exponential function, Trigonometric function - Definitions via differential equations, Trigonometric function - The significance of radians, Trigonometric function - Other definitions, Trigonometric function - Computation, Trigonometric function - Inverse functions, Trigonometric function - Identities, Trigonometric function - Properties and applications, Trigonometric function - Law of sines, Trigonometric function - Law of cosines, Trigonometric function - Law of tangents

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Hubbard wrote that these three points correlate together to form a "triangle", whereby an increase or decrease of affinity, reality or communication causes a resultant change in the other components. The triangle of affinity, reality and communication could be called an interactive triangle in that no point of it can be raised without affecting the other two points and raising them, and no point of it can be lowered without affecting the other two points. (Scientology 0-8) This is commonly kno ...

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ARC Scientology, ARC Scientology - The concept of ARC, ARC Scientology - The ARC Triangle, ARC Scientology - The ARC Break, ARC Scientology - Use in conversation by Scientologists

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In order to define the trigonometric functions for the angle A, start with an arbitrary right triangle that contains the angle A: We use the following names for the sides of the triangle: The hypotenuse is the side opposite the right angle, or defined as the longest side of a right-angled triangle, in this case h. The opposite side is the side opposite to the angle we are interested in, in this case a. The adjacent side is the side that is in contact with the angle we are interested in and the right angl ...

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Trigonometric function, Trigonometric function - History, Trigonometric function - Right triangle definitions, Trigonometric function - Mnemonics, Trigonometric function - Slope definitions, Trigonometric function - Unit-circle definitions, Trigonometric function - Series definitions, Trigonometric function - Relationship to exponential function, Trigonometric function - Definitions via differential equations, Trigonometric function - The significance of radians, Trigonometric function - Other definitions, Trigonometric function - Computation, Trigonometric function - Inverse functions, Trigonometric function - Identities, Trigonometric function - Properties and applications, Trigonometric function - Law of sines, Trigonometric function - Law of cosines, Trigonometric function - Law of tangents

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The remaining constraints of unitarity of the CKM-matrix can be written in the form For any fixed i and j, this is a constraint on three complex numbers, one for each k, which says that these numbers form the vertices of a triangle in the complex plane. There are six choices of i and j, and hence six such triangles, each of which is called an unitary triangle. Their shapes can be very different, but they all have the same area, which can be related to ...

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CKM matrix, CKM matrix - The matrix, CKM matrix - Counting, CKM matrix - Observations and predictions, CKM matrix - Weak universality, CKM matrix - The unitarity triangles

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The Vernon brothers, William and Samuel, made a name for themselves in Newport by successfully utilizing the "triangle trade." Their first ship, commanded by Captain John Godfrey, was ironically named the Olive Branch. The brothers also owned the Hare, a ship whose participation in the American slave trade is well documented. Incredible profits were made by purchasing slaves in Africa with rum from the colonies, selling those slaves in the West Indies, using those profits to purchase molasses from those ports before buying more rum i ...

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William Vernon, William Vernon - Background, William Vernon - Newport Triangle Trade, William Vernon - Contributions to the American Revolution, William Vernon - Post-Revolution

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The 12" version appears on the compilation Substance and a remix by Stephen Hague features on their Best Of album. The 7" mix has never appeared on an album. Though generally regarded as one of the group's best singles, it failed to make the UK Top 40, only reaching #56. The music video was directed by American artist Robert Longo. It prominently featured shots of a man and a woman in business suits flying through the air as though propelled by trampolines; this is based directly on Longo's "Men in the Cities" series of lithographs. ^{See also:}

Bizarre Love Triangle, Bizarre Love Triangle - Releases, Bizarre Love Triangle - Other appearances

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To understand Hawaiian native history and culture, one must understand the greater Polynesian phenomenon. Hawaiʻi is the apex of the Polynesian Triangle, a region of the Pacific Ocean anchored by three island groups: Hawaiʻi, Rapa Nui (Easter Island) and Aotearoa (New Zealand). The many island cultures within the Polynesian Triangle share similar languages derived from a proto-Malayo-Polynesian language used in Southeast Asia 5000 years ago. Polynesians also share fundamentally similar cultural traditions, arts, religion, sciences. Anthrop ...

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Ancient Hawaii, Ancient Hawaii - Polynesian Triangle, Ancient Hawaii - Voyage to Hawaiʻi nei, Ancient Hawaii - Village, Ancient Hawaii - Caste system, Ancient Hawaii - Kapu system, Ancient Hawaii - Subsistence economy, Ancient Hawaii - European discovery

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The Bell numbers can easily be calculated by creating the so-called Bell triangle, also called Aitken's array or the Peirce triangle: Start with the number one. Put this on a row by itself. Start a new row with the rightmost element from the previous row as the leftmost number Determine the numbers not on the left column by taking the sum of the number to the left and the number above the number to the left (the number diagonally up and left of the number we are calculating) Repeat ...

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Bell number, Bell number - Partitions of a set, Bell number - Another view of Bell numbers, Bell number - Properties of Bell numbers, Bell number - Triangle scheme for calculating Bell numbers

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Pascal's rule is the important recurrence relation which follows directly from the definition. This recurrence relation can be used to prove by mathematical induction that C(n, k) is a natural number for all n and k, a fact that is not immediately obvious from the definition. It also gives rise to Pascal's triangle: row 0 1 row 1 1 1 row 2 1 2 1 row 3 1 3 3 1 row 4 1 4 6 4 ...

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Binomial coefficient, Binomial coefficient - Example, Binomial coefficient - Derivation from binomial expansion, Binomial coefficient - Pascal's triangle, Binomial coefficient - Combinatorics and statistics, Binomial coefficient - Formulas involving binomial coefficients, Binomial coefficient - Divisors of binomial coefficients, Binomial coefficient - Bounds for binomial coefficients, Binomial coefficient - Generalization to multinomials, Binomial coefficient - Generalization to real and complex argument, Binomial coefficient - Newton's binomial series, Binomial coefficient - Generalization to q-series

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In a Euclidean system, congruence is fundamental; it's the counterpart of an equals sign in numerical analysis. In analytic geometry, congruence may be defined intuitively thus: two mappings of figures onto one Cartesian coordinate system are congruent if and only if, for any two points in the first mapping, the Euclidean distance between them is equal to the Euclidean distance between the corresponding points in the second mapping. A more formal definition: two subsets A and B of Euclidean space Rn ...

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Congruence geometry, Congruence geometry - Definition of congruence in analytic geometry, Congruence geometry - Congruence of triangles

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The triangle shank is almost always made by machining three flats on round bar stock. It is intended as a minor modification of a straight shank, still allowing it to be held in a 3-jaw drill chuck, but allowing higher torque transmission. Can be held in a drill chuck High torque transmission Moderately accurate centring Cannot be held in a collet ...

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Drill bit shank, Drill bit shank - Brace shank, Drill bit shank - Straight shank, Drill bit shank - Hex shank, Drill bit shank - SDS shank, Drill bit shank - Triangle shank, Drill bit shank - Morse taper shank

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The Historic Triangle is located on the Virginia Peninsula and includes the colonial communities of Jamestown, Williamsburg, and Yorktown, with many restored attractions linked by the Colonial Parkway. Colonial Williamsburg - Colonial Parkway. The National Park Service's Colonial Parkway joins the three popular attractions of Colonial Virginia with a scenic and bucolic roadway carefully shielded from views of commercial development. This helps visitors mentally return to the past and maintain the ambiance ...

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Colonial Williamsburg, Colonial Williamsburg - History, Colonial Williamsburg - Jamestown, Colonial Williamsburg - Middle Plantation College of William and Mary, Colonial Williamsburg - Williamsburg becomes Capital, Colonial Williamsburg - Capital moves to Richmond, Colonial Williamsburg - Recreation and Restoration Colonial Williamsburg today, Colonial Williamsburg - Historic Triangle: Jamestown Williamsburg and Yorktown, Colonial Williamsburg - Colonial Parkway, Colonial Williamsburg - Jamestown, Colonial Williamsburg - Yorktown, Colonial Williamsburg - Commercial Enterprises, Colonial Williamsburg - External link

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The company's owners, Max Blanck and Isaac Harris, had fled to the building's roof when the fire began and survived. They were later acquitted in a criminal trial, at which Max Steuer, counsel for the defendants, managed to destroy the credibility of one of the survivors, Kate Alterman, by asking her to repeat her testimony a number of times — which she did, without altering a single word. Steuer argued to the jury that Alterman and probably other witnesses had memorized their statements and may even have been told what to say by the prosecutors.

Triangle Shirtwaist Factory fire, Triangle Shirtwaist Factory fire - The fire, Triangle Shirtwaist Factory fire - The aftermath of the fire

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The union also became more involved in electoral politics, in part as a result of the horrific Triangle Shirtwaist Factory fire on March 25, 1911, in which more than a hundred shirtwaist makers either died in the fire that broke out on the eighth floor of their factory or jumped to their death. Many of these workers were unable to escape because the doors on their floors had been locked to prevent them f ...

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International Ladies' Garment Workers' Union, International Ladies' Garment Workers' Union - Early history, International Ladies' Garment Workers' Union - The Uprising of 20000 and the Great Revolt, International Ladies' Garment Workers' Union - The Triangle Shirtwaist Factory fire and its aftermath, International Ladies' Garment Workers' Union - Growth and turmoil, International Ladies' Garment Workers' Union - Internal battles, International Ladies' Garment Workers' Union - Dubinsky's rise to power, International Ladies' Garment Workers' Union - The Great Depression and the CIO, International Ladies' Garment Workers' Union - Electoral politics, International Ladies' Garment Workers' Union - Other social and cultural efforts, International Ladies' Garment Workers' Union - The decline of the union, International Ladies' Garment Workers' Union - External Sources

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Schwarz-Christoffel mapping - Triangle. A mapping to a plane triangle with angles πa, πb and π(1 − a − b) is given by Schwarz-Christoffel mapping - Square. The upper half-plane is mapped to the square by where F is the incomplete elliptic integral of the first kind. Schwarz-Christoffel mapping - General triangle. The upper half-plane is mapped to ...

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Schwarz-Christoffel mapping, Schwarz-Christoffel mapping - Definition, Schwarz-Christoffel mapping - Example, Schwarz-Christoffel mapping - Other simple mappings, Schwarz-Christoffel mapping - Triangle, Schwarz-Christoffel mapping - Square, Schwarz-Christoffel mapping - General triangle

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The complete surviving works are Pneumatica (Greek, c. 60), Automata (Greek), Mechanics (Arabic), Metrics (Arabic), Dioptra (Arabic). In optics, Hero proposed that light travels along the shortest geometric path. This view is no longer accepted, having been replaced by the least-time principle. In geometry, the formula for finding the area of any triangle knowing only the lengths of its sides is known as Hero's or Heron's Formula. wher ...

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Hero of Alexandria, Hero of Alexandria - Publications, Hero of Alexandria - Projects

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Consider a semi-infinite strip in the z plane. This may be regarded as a limiting form of a triangle with vertices P = 0, Q = πi, and R (with R real), as R tends to infinity. Now α = 0 and β = γ = π / 2 in the limit. Suppose we are looking for the mapping f with f(−1) = Q, f(1) = P, and f(∞) = < ...

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Schwarz-Christoffel mapping, Schwarz-Christoffel mapping - Definition, Schwarz-Christoffel mapping - Example, Schwarz-Christoffel mapping - Other simple mappings, Schwarz-Christoffel mapping - Triangle, Schwarz-Christoffel mapping - Square, Schwarz-Christoffel mapping - General triangle

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Consider a polygon in the complex plane. The Riemann mapping theorem implies that there is a bijective holomorphic mapping f from the upper half-plane to the interior of the polygon. The function f maps the real axis to the edges of the polygon. If the polygon has interior angles α,β,γ,..., then this mapping is given by where K is a constant, and a < b < c & ...

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Schwarz-Christoffel mapping, Schwarz-Christoffel mapping - Definition, Schwarz-Christoffel mapping - Example, Schwarz-Christoffel mapping - Other simple mappings, Schwarz-Christoffel mapping - Triangle, Schwarz-Christoffel mapping - Square, Schwarz-Christoffel mapping - General triangle

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