For any such square the middle corner of these will be called the vertex of the square and the corner not on the curve will be called the diagonal point of the square.

If one takes the middle number, 5, and multiplies it by 3 ( the base number of the magic square of three ), the result is 15, which is also the constant sum of all the rows, columns, and two main diagonals.

Then, if the middle number is activated to its greatest potential in terms of this square, through multiplying it by the highest number, 9 ( which is the square of the base number ), the result is 45 ; ;

( In particular, older editions of Settlers did not come with a frame for their board ; a separate add-on was made available for players of the older-edition Settlers games, containing the newer edition frames, so as to make them compatible with the newer edition of Seafarers ; the older edition of Seafarers included a square frame, and while both older and newer editions of the frames have the same width across, the newer edition is not square-shaped, and is longer down the middle of the board compared to the sides.

Constructed from large blocks of light-coloured stone, the tower was made up of three stages: a lower square section with a central core, a middle octagonal section, and, at the top, a circular section.

The mast was now square in section and located toward the middle of the ship, and could be lowered and raised.

For the specific game of Othello ( as technically differing from Reversi ), the rules state that the game begins with four disks placed in a square in the middle of the grid, two facing light-up, two pieces with the dark side up, with same-colored disks on a diagonal with each other.

The square immediately diagonally adjacent to the corner ( called the X-square ), when played in the early or middle game, typically guarantees the loss of that corner.

Thailand's 514, 000 square kilometers lie in the middle of mainland Southeast Asia.

# Empty side: The player plays in a middle square on any of the 4 sides.

In this way, the player may not lose because of a powerup entering the middle square.

It is surrounded by Neoclassicist buildings, and in the middle of the square is the Waterloo Obelisk, commemorating the Nassauers who died in the wars against Napoleon.

For example, a piece of land was divided into nine squares in the well-field system, with the grain from the middle square taken by the government and that of surrounding squares kept by individual farmers.

The algorithm is as follows: take any number, square it, remove the middle digits of the resulting number as the " random number ", then use that number as the seed for the next iteration.

A problem with the " middle square " method is that all sequences eventually repeat themselves, some very quickly, such as " 0000 ".

On the ENIAC computer he was using, the " middle square " method generated numbers at a rate some hundred times faster than reading numbers in from punched cards.

The motion sensor displays alien creatures as red triangles and friendly humans or robots as green squares ; it tracks their motion relative to the player, represented by a square in the middle whenever the player moves.

The brightness of the middle square represents how still the player is and how well he can be tracked.

The town centre still possesses the typical structure of a Bavarian street market: the settlement is grouped around a road widening into a square ; the Town Hall was located in the middle.

A reporter wrote the following: " Their square pianos are characterized by great power of tone, a depth and richness in the bass, a full mellowness in the middle register and brilliant purity in the treble, making a scale perfectly equal and singularly melodious throughout its entire range.

A square dance is a dance for four couples ( eight dancers ) arranged in a square, with one couple on each side, facing the middle of the square.

Monogamy is the vice from which the abjectly fearful middle class continue to suffer, whereas the beatnik has the courage to break out of that prison of respectability.

By virtue of his self-reliance, his individualism and his freedom from external restraint, the private eye is a perfect embodiment of the middle class conception of liberty, which amounts to doing what you please and let the devil take the hindmost.

At the same time, because the personal code of the detective coincides with the legal dictates of his society, because he likes to catch criminals, he is in middle class eyes a virtuous man.

The entire middle section of The Walnut Trees is taken up with the life of Vincent Berger himself, whose fragmentary notes on his `` encounters with mankind '' are now conveyed by his son.

But he is in the middle, an employe of DeKalb, but on the side of the people.

By the middle of the summer, many of the larvae apparently receive such a good diet that it is `` optimal '', and it is then that young queens begin to appear.

Another great danger is that the emerging middle class will feel itself increasingly alienated from the political leaders who still justify their dominance by reference to the struggle for independence or the early phase of nationalism.

`` Diane is the type of girl '', Jelke said, `` who wouldn't get loving -- even on her wedding night -- unless you piled up all your money in the middle of the floor ''.

In this way, red wine warms of itself quite rapidly -- and though it is true that it may not attain its potential of taste and fragrance until after the middle of the meal ( or the course ), in the meantime it will have run the gamut of many beguiling and interesting stages.

Udall, who comes from one of the Mormon first-families of Arizona, is a bluff, plain-spoken man with a lust for politics and a habit of landing right in the middle of the fight.

In a series of fairy tales and fantasies, Melies demonstrated that the film is superbly equipped to tell a straightforward story, with beginning, middle and end, complications, resolutions, climaxes, and conclusions.

Now time is also the concern of the fictional narrative, which is, at its simplest, the story of an action with, usually, a beginning, a middle, and an end -- elements which demand time as the first condition for their existence.

It could be argued that any fellowship which centers in residential neighborhoods is doomed to become an expression of the panic for stable identity among the middle classes.

this style is characteristically an expression of the communal style of the middle classes.

This is especially in evidence among the present generation of the suburban middle class.

The importance of this 5 can largely be explained by the natural mathematical properties of the middle number and its special relationship to all the rest of the numbers -- quite apart from any numerological considerations, which is to say, any symbolic meaning arbitrarily assigned to it.

Furthermore, the middle number of the Lo Shu is not only the physical mean between every opposing pair of the other numbers, by reason of its central position ; ;

There is an extraordinary sense of presence in all of these recordings, apparently obtained at least in part by emphasizing the middle and high frequencies.

The most prominent feature of emission and absorption spectra ( known experimentally since the middle of the 19 < sup > th </ sup > century ), was that these atomic spectra contained discrete lines.

The earliest known Christian image of an angel, in the Cubicolo dell ' Annunziazione in the Catacomb of Priscilla, which is dated to the middle of the third century, is without wings.

The earliest known owner of the Beowulf manuscript is the 16th-century scholar Laurence Nowell, after whom the manuscript is named, though its official designation is British Library, Cotton Vitellius A. XV because it was one of Robert Bruce Cotton's holdings in the Cotton Library in the middle of the 17th century.

In the middle of the 18th century, Europe began to move toward a new style in architecture, literature, and the arts, generally known as Classicism, which sought to emulate the ideals of Classical antiquity and especially those of Classical Greece.

Opposition to the government grew within the middle class and leftists including Paris-educated leaders like Son Sen, Ieng Sary, and Saloth Sar ( later known as Pol Pot ), who led an insurgency under the clandestine Communist Party of Kampuchea ( CPK ).

Another feature of the population was the number of Spanish-born colonists, known as peninsulares, who were mostly adult males ; they constituted between ten and twenty per cent of the population between the middle of the 19th century and the great depression of the 1930s.

He built a large racetrack known as the circus of Gaius and Nero and had an Egyptian obelisk ( now known as the Vatican Obelisk ) transported by sea and erected in the middle of Rome.

He graduated in the middle of the class of 1915, which became known as " the class the stars fell on ", because 59 members eventually became general officers.

Complete double-six setDomino tiles, also known as bones, are twice as long as they are wide and usually have a line in the middle dividing them into two squares.

A middle rail at the height of the bolt is known as the " lock rail ", other middle rails are commonly known as " cross rails ".

The stiles were the vertical boards, one of which, tenoned or hinged, is known as the hanging stile, the other as the middle or meeting stile.

However, abiotic mechanisms for stromatolitic growth are also known, leading to a decades-long and sometimes-contentious scientific debate regarding biogenesis of certain formations, especially those from the lower to middle Archean eon.

It is most widely accepted that stromatolites from the late Archean and through the middle Proterozoic eon were mostly formed by massive colonies of cyanobacteria ( formerly known as blue-green algae ), and that the oxygen byproduct of their photosynthetic metabolism first resulted in earth ’ s massive banded iron formations and subsequently oxygenated earth ’ s atmosphere.

Mignet argued that the " constitution of 1791 ... was the work of the middle class, then the strongest ; for, as is well known, the predominant force ever takes possession of institutions ...

His book, The Elements is widely considered the most influential textbook of all time, and was known to all educated people in the West until the middle of the 20th century.

All citizens of Haiti, regardless of skin color, to be known as " Black " ( this was an attempt to eliminate the multi-tiered racial hierarchy that had developed in Haiti, with full or near full-blooded Europeans at the top, various levels of light to brown skin in the middle, and dark skinned " Kongo " from Africa at the bottom ).

The oldest known fossil showing unambiguous imprints of hair is the Callovian ( late middle Jurassic ) Castorocauda, an early mammal.

The Jurassic constitutes the middle period of the Mesozoic Era, also known as the Age of Reptiles.

Dr Login received a knighthood in 1854 from Queen Victoria and was known as Sir John Spencer Login ( he had added the ' r ' to his middle name to change it from Spence to Spencer ).

The law is also known as the law ( or principle ) of the excluded third ( or of the excluded middle ), or, in Latin, principium tertii exclusi.

This response to the paradox is, in effect, the rejection of the claim that every statement has to be either true or false, also known as the principle of bivalence, a concept related to the law of the excluded middle.