Pythagorean theorem

In mathematics, the Pythagorean theorem, also known as Pythagoras's theorem, is a relation in Euclidean geometry among the three sides of a right triangle. It states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. The theorem can be written as an equation relating the lengths of the sides a, b and c, often called the "Pythagorean equation":

where c represents the length of the hypotenuse and a and b the lengths of the triangle's other two sides.

Although it is often argued that knowledge of the theorem predates him, the theorem is named after the ancient Greek mathematician Pythagoras (c. 570 – c. 495 BC) as it is he who, by tradition, is credited with its first recorded proof.There is some evidence that Babylonian mathematicians understood the formula, although little of it indicates an application within a mathematical framework.Mesopotamian, Indian and Chinese mathematicians all discovered the theorem independently and, in some cases, provided proofs for special cases.

Rational emotive behavior therapy

Rational Emotive Behavior Therapy (REBT), previously called Rational Therapy and Rational Emotive Therapy, is a comprehensive, active-directive, philosophically and empirically based psychotherapy which focuses on resolving emotional and behavioral problems and disturbances and enabling people to lead happier and more fulfilling lives. REBT was created and developed by the American psychotherapist and psychologist Albert Ellis who was inspired by many of the teachings of Asian, Greek, Roman and modern philosophers. REBT is one form of cognitive behavior therapy (CBT) and was first expounded by Ellis in the mid-1950s; development continued until his death in 2007.

History

Rational Emotive Behavior Therapy (REBT) is both a psychotherapeutic system of theory and practices and a school of thought established by Albert Ellis. Originally called Rational Therapy, it was renamed to Rational Emotive Therapy in 1959, then to the current term in 1992. This approach was one of the first of the cognitive behavior therapies, as it was laid out in articles Ellis first published in 1956, nearly a decade before Aaron Beck first set forth his cognitive therapy.

A. B. and C.

"A. B. and C." is the title of the third episode of the British science fiction-allegorical series, The Prisoner. It originally aired in the UK on ITV on 13 October 1967 and was first broadcast in the United States on CBS on 22 June 1968.

The episode stars Patrick McGoohan in the character of Number 6 and features as Number 2 Colin Gordon - the only actor other than Leo McKern who would play Number 2 in more than one episode.

Plot summary

Number Two is directed by Number One to step up efforts to extraction information from Number Six—specifically relating to what information he is believed to have sold, leading to his resignation from the intelligence agency he worked for. Number Two directs Number Fourteen to prepare a machine she has developed. With the help of an injected drug, it will allow observation of, and influence on, the dream-state of a person connected to it. They have prepared three dossiers of foreign agents that Number Six was known to have met during an elegant party hosted by Madame Engadine prior to his resignation, suspecting that he has sold out to one of them. The dossiers are labeled "A", "B", and "C".