To rotate a figure counterclockwise around the origin by some angle is equivalent to replacing every point with coordinates ( x, y ) by the point with coordinates ( x < nowiki >'</ nowiki >, y < nowiki >'</ nowiki >), where

A self-dual polyhedron is a polyhedron whose dual is a congruent figure, though not necessarily the identical figure: for example, the dual of a regular tetrahedron is a regular tetrahedron " facing the opposite direction " ( reflected through the origin ).

Other factors can change demand ; for example an increase in income will shift the demand curve for a normal good outward relative to the origin, as in the figure.

As a result advocates of a Saxon origin of the figure debated with those favoring an ancient British origin for three centuries after Aubrey's findings.

" Whale's biographer Curtis rejects the notion that Whale would have identified with the Monster from a homosexual perspective, stating that if the highly class-conscious Whale felt himself to be an antisocial figure, it would have been based not in his sexuality but in his origin in the lower classes.

Legendary accounts link the origin of Shaolinquan to the spread of Buddhism from India during the early 5th century AD, with the figure of Bodhidharma, to China.

William Dever agrees with the Canaanite origin of the Israelites but allows for the possibility of some immigrants from Egypt among the early hilltop settlers, leaving open the possibility of a Moses-like figure in Transjordan ca 1250-1200.

As an example in two dimensions ( see figure ), the vector from the origin O

The origin is usually the center of mass of the earth, a point close to the Earth's center of figure.

The origin of Aryan Nations is in the teachings of Wesley Swift, a significant figure in the early Christian Identity movement.

For n = 2 the theorem claims that a convex figure in the plane symmetric about the origin and with area greater than 4 encloses at least one lattice point in addition to the origin.

As shown in the figure on the right, the lab system's origin is at point O, the rigid body system origin is at O ' and the vector from O to O ' is R. A particle ( i ) in the rigid body is located at point P and the vector position of this particle is R < sub > i </ sub > in the lab frame, and at position r < sub > i </ sub > in the body frame.

It is possible that the figure of Ukko is mostly Indo-European, possibly Baltic, in origin.

Hesiod made him the son of Phoenix, eponym of the Phoenicians, thus a figure of Phoenician origin ; his association with Cyprus is not attested before the classical era.

In Italy under the Fascist regime, her figure was demonized, perhaps not only as an anti-Roman figure but because she represented together at least three other unpleasant qualities: feminine virtue, Semitic ethnic origin, and African civilization.

The origin of Faust's name and persona remains unclear ; though it is widely assumed to be based on the figure of Dr. Johann Georg Faust ( c. 1480 – 1540 ), a magician and alchemist probably from Knittlingen, Württemberg, who obtained a degree in divinity from Heidelberg University in 1509.

Nanabozho ( also known by a variety of other names and spellings, including Wenabozho, Menabozho, and Nanabush ) is a trickster figure and culture hero who features as the protagonist of a cycle of stories that serve as the Anishinaabe origin belief.

The theory that explains its origin in connection with the figure of the Good Shepherd carrying the lamb on his shoulders, so common in early Christian art, may be an explanation a posteriori.

One gets the overall impression that Langland and Piers Plowman had less existence as author and text than did the fictional figure of Piers, whose relationship to a definite authorial and textual origin had been obscured much earlier.

The toga picta may have had an Etruscan origin, as in this portrayal of a cloaked figure identified as Vel Saties ( from the Francois Tomb, Volci | Vulci.

He said that his information was so secret that he would not be able to confide in me the origin of his pipeline tip.

In sum, it can be said that the techniques and standards of present day have their origin at the turn of the century.

According to fellow folk singer Joan Baez, it was one of the most requested songs from her audiences, but she never realized its origin as a hymn ; by the time she was singing it in the 1960s she said it had " developed a life of its own ".

Zainab was the daughter of a wealthy merchant from Houara ( a Masmuda tribe ), who is said to be from Kairouan in origin.

To the Angkorian Khmer, nāgas were symbols of water and figured in the myths of origin for the Khmer people, who were said to be descended from the union of an Indian Brahman and a serpent princess from Cambodia.

In Northeastern Brazil and among the diaspora of its population in other Brazilian regions, cuzcuz ( locally, in Rio de Janeiro, in São Paulo ), a steamed cake of couscous and corn flour ( a mixture called fubá, pronounced, said to be of African origin from the slave trade ), is a popular meal, served in many forms: With sugar and milk, with varied meats, with cheese and eggs, and so on.

Eusebius said, “ The Creator of all things has impressed a natural law upon the soul of every man, as an assistant and ally in his conduct, pointing out to him the right way by this law ; but, by the free liberty with which he is endowed, making the choice of what is best worthy of praise and acceptance, because he has acted rightly, not by force, but from his own free-will, when he had it in his power to act otherwise, As, again, making him who chooses what is worst, deserving of blame and punishment, as having by his own motion neglected the natural law, and becoming the origin and fountain of wickedness, and misusing himself, not from any extraneous necessity, but from free will and judgment.

Lewis said the origin of ' fief ' is not feudum ( or feodum ), but rather foderum, the earliest attested used being in Astronomus's Vita Hludovici ( 840 ).

Words such as tempura or hiryōzu ( synonymous with ganmodoki ) are said to be of Portuguese origin.

This has been said to derive from the παν-" all " and θήρ from θηρευτής " predator ", meaning " predator of all " ( animals ), though this may be a folk etymology — it may instead be ultimately of Sanskrit origin, from pundarikam, the Sanskrit word for " tiger ".

The term is said to have been coined by the Anglo-Irish cleric, Henry Crumpe, but its origin is uncertain.

The origin myth of the kingdom of Alba traced its foundation to the supposed destruction of Pictland by Kenneth MacAlpin, and its kings were chosen from the male line descendants of Kenneth, with the possible exception of the shadowy Eochaid, said to be Kenneth's daughter's son.

The game is said to have originated in China ( it closely resembles the Chinese game of " Jianshizi ", or " picking stones "), but the origin is uncertain ; the earliest European references to Nim are from the beginning of the 16th century.

The origin of rugby football is reputed to be an incident during a game of English school football at Rugby School in 1823 when William Webb-Ellis is said to have picked up the ball and run with it.

Plutarch said the inhabitants of Caria carried the emblem of the rooster on the end of their lances and relates that origin to Artaxerxes, who awarded a Carian who was said to have killed Cyrus the Younger at the battle of Cunaxa in 401 B. C " the privilege of carrying ever after a golden cock upon his spear before the first ranks of the army in all expeditions " and the Carians also wore crested helmets at the time of Herodotus, for which reason " the Persians gave the Carians the name of cocks ".

Quintilian famously said that satura, that is a satire in hexameter verses, was a literary genre of wholly Roman origin ( satura tota nostra est ).

Prime Minister Tuilaepa Aiono Sailele Malielegaoi said that the purpose of adopting left-hand traffic was to allow Samoans to use cheaper RHD vehicles sourced from Australia, New Zealand or Japan, and so that the large number of Samoans living in Australasia can drive on the same side of the road when they visit their country of origin.

The Romans later traced their origin to Aeneas, one of the Trojans, who was said to have led the surviving Trojans to modern day Italy.

An example of the intellectual confusion about what heritability is and is not, is the statement: " If all environments were to become equal for everyone, heritability would rise to 100 percent because all remaining differences in IQ would necessarily be genetic in origin ", which Gould said is misleading, at best, and false, at worst.

Toynbee said they displayed striking parallels in their origin, growth, and decay.

The western Rosary is sometimes said to have the same initial origin.

Finglas was originally the site of an Early Christian abbey, the origin of which has been associated, from early times, with the name of St. Cainnech, or Canice, the patron of Kilkenny, said to have founded it in 560 A. D.

It is said that the insulting gesture, ( called fico ), of holding one's fist with the thumb in between the middle and forefinger came by its origin from this event.

It ended by occupying the entire piece, and, be it said with all the respect due to the memory of the most perfect actor who ever lived, by departing entirely from its origin and being denaturalized.