# Squares Sentence Examples

- He solved quadratic equations both geometrically and algebraically, and also equations of the form x 2 "+ax n +b=o; he also proved certain relations between the sum of the first n natural numbers, and the sums of their
**squares**and cubes. - Many of the names of the rich residential streets and
**squares**in the west have associations with the various owners of the properties; but Mayfair is so called from a fair held on this ground in May as early as the reign of Charles II. - In the top
**squares**of the slips the ten digits are written, and each slip contains in its nine**squares**the first nine multiples of the digit which appears in the top square. - With the exception of the top
**squares**, every square is divided into two parts by a diagonal, the units being written on one side and the tens on the other, so that when a multiple consists of two figures they are separated by the diagonal. - I shows the slips corresponding to the numbers 2, o, 8, 5 placed side by side in contact with one another, and next to them is placed another slip containing, in
**squares**without diagonals, the first nine digits. - It has the usual rectangular plan, with several pretty
**squares**and straight, clean, well-paved streets. - There are several handsome
**squares**and public gardens, adorned with statues, trees and shrubbery. - This class of representation ceases when the number of
**squares**exceeds eight. - The cases of two, four and six
**squares**had been given by K. - Jacobi and that of three
**squares**by F. - There are many fine streets and
**squares**and some handsome public monuments, notably among the last the fountain on the market square surmounted by a statue of Charlemagne, the bronze equestrian statue of the emperor William I. - Of the
**squares**, the principal is the Friedrich-Wilhelmplatz, on which lies the Elisenbrunnen with its colonnade and garden, the chief resort of visitors taking the baths and waters. - The principal
**squares**are Cathedral, Santa Ana, Bolivar and Lesseps. - The chapel, hall and residential buildings surrounding the
**squares**within, are picturesque, but of later date. - The general type of problem is to find two, three or four numbers such that different expressions involving them in the first and second, and sometimes the third, degree are
**squares**, cubes, partly**squares**and partly cubes, &c. E.g. - Tannery); To find four numbers such that, if we take the square of their sum any one of them singly, all the resulting numbers are
**squares**(III. - 29); To find three
**squares**such that their continued product added to any one of them gives a square (V. - No number of the form 4n+3, or 4n - I, can be the sum of two
**squares**), and goes on to a d, practically, the condition stated by Fermat, "and the double of it [n] increased by one, when divided by the greatest square which measures it, must not be divisible by a prime number of the form 4n - 1," except for the omission of the words "when divided. - After the great fire of 1872 it became possible, in the reconstruction of the business district, to widen and straighten its streets and create
**squares**, and so provide for the traffic that had long outgrown the narrow, crooked ways of the older city. - In one of the
**squares**there is a bronze statue, "The Hewer," by G. - The central and older portion of the city is laid out in
**squares**surrounding a public Green of 16 acres, which was in former days the centre of religious and social life. - It is sometimes assumed that this is measured perfectly by the standard deviation,' which is obtained by taking the
**squares**of the differences between the average and the individual prices, summing them and extracting the square root. - It contains several
**squares**and boulevards, a large public garden, and many handsome public and private edifices. - Its port was revived, and since that time piers and quays have been constructed, and spacious
**squares**and broad regular streets have been laid out. - Neighbourhood parks, playgrounds and
**squares**were increased to 80, embracing 2,908 acres. - The hypothetical radicals of acids, were denoted by
**squares**enclosing the initial letter of the base; an alkali was denoted by a triangle, and the particular alkali by inserting the initial letter. - In that case we need simply cover the map with a network of
**squares**- the area of each of which has been determined with reference to the scale of the map - count the**squares**, and estimate the contents of those only partially enclosed within the boundary, and the result will give the area desired. - Instead of drawing these
**squares**upon the map itself, they may be engraved or etched upon glass, or drawn upon transparent celluloid or tracing-paper. - There is an entire underground city with several storeys of larger and smaller streets,
**squares**and cross ways, cut out of the rock; at the intersection of the cross ways FIG. - The Clos St Jean, a pleasant park, lies to the north-west, and
**squares**and open spaces are numerous. - (2) The words of the text are ranged in
**squares**in such a manner as to be read either vertically or boustrophedon. - For example, the class of rationals whose
**squares**are less than 2r satisfies the definition of a real number; it is the real number A I 2. - Thus the class of rational numbers whose
**squares**are less than 2 has no upper limit among the rational numbers. - The town has been built without the slightest regard to regularity; the streets are even more intricate and winding than those in most other Eastern towns, and with the exception of the bazaars and some open
**squares**, the interior is little else than a labyrinth of alleys and passages. - Leonardo gave as solution the numbers 11 i 4 4, 16, 9 4 - 7 4 and 6197 T, - the
**squares**of 3,, 41'v and 2, 7; and the method of finding them is given in the Liber quadratorum. - The battle is chiefly notable for the steadi- donor, ness with which the allied right, covered by the Light Division in
**squares**, changed position in presence of the French cavalry; and for the extraordinary feat of arms of Captain Norman Ramsay, R.H.A., in charging through the French cavalry with his guns. - The largest of the public
**squares**in Hamburg is the Hopfenmarkt, which contains the church of St Nicholas (Nikolaikirche) and is the principal market for vegetables and fruit. - Honolulu has other parks, a fine Botanical Garden, created by the Bureau of Agriculture, several public
**squares**, several hospitals, a maternity home, the Lunalilo Home for aged Hawaiians, an asylum for the insane, several schools of high rank both public and private - notably Oahu College on the E. - And, dividing by y1y2...ym, the discriminant of f is seen to be equal to the product of the
**squares**of all the differences of any two roots of the equation. - Stern, on terrestrial magnetism by Goldschmidt, and on the method of least
**squares**by K. - (1556-1598), and was modelled on that of Antwerp. The streets of the city are regular and broad; there are three fine
**squares**or plazas. - The opening up of the wide thoroughfare of Chambers Street, on the site of College Wynd and Brown and Argyll
**Squares**, cleared the precincts of unsightly obstructions and unsavoury neighbours. - The device known as the method of least
**squares**, for reducing numerous equations of condition to the number of unknown quantities to be determined, had been adopted as a practically convenient rule by Gauss and Legendre; but Laplace first treated it as a problem in probabilities, and proved by an intricate and difficult course of reasoning that it was also the most advantageous, the mean of the probabilities of error in the determination of the elements being thereby reduced to a minimum. - Thus a comparison of numbers occurring in a table of
**squares**1 2 =1 112=121 2 2= 4 122=144 3 2 =9 132=169 suggests the formula (A+a)2=A2+2Aa+a2. - There are many beautiful private buildings, broad and well-paved streets, numerous
**squares**and public gardens. - If we put for shortness 7 for the quantity under the last circular function in (I), the expressions (i), (2) may be put under the forms u sin T, v sin (T - a) respectively; and, if I be the intensity, I will be measured by the sum of the
**squares**of the coefficients of sin T and cos T in the expression u sin T +v sin (T - a), so that I =u 2 +v 2 +2uv cos a, which becomes on putting for u, v, and a their values, and putting f =Q . - It is mainly a rich residential quarter; the most fashionable part is found in the south, in the vicinity of Cavendish and Portman
**Squares**, but there are numerous fine houses surrounding Regent's Park and in the north-western district of St John's Wood. - In one of the public
**squares**is a Dominican church built in 1538. - North London is as a whole residential: Hackney, Islington and St Pancras consist mainly of dwellings of artisans and the middle classes; while in Hampstead, St Marylebone and Paddington are many terraces and
**squares**of handsome houses. - The outlying parts of the county to east, south and north are not lacking in open spaces, but there is an extensive inner area where at most only small gardens and
**squares**break the continuity of buildings, and where in some cases old churchyards serve as public grounds. - In her own words, they were "good boards overhead, good boards all around, and a good window"--of two whole
**squares**originally, only the cat had passed out that way lately. - They broke up two
**squares**, your excellency. - Lines had been drawn on the grass, large
**squares**like those used for wrestling, with a circle in the center. - Moonlight spilled over large buildings with triangular roofs into community
**squares**abutting stacked parking lots. - Even the guy's boxers were neatly folded into
**squares**that sat in the middle of the drawer. - Side of the Huatenay are two more fine
**squares**, called the Cabildo and San Francisco. - Clermont has several handsome
**squares**ornamented with fountains, the chief of which is a graceful structure erected by Bishop Jacques d'Amboise in 1515. - Aguilar "of the Frontier" was so named in the middle ages from its position on the border of the Moorish territories, which were defended by the castle of Anzur, now a ruin; but the spacious
**squares**and modern houses of the existing town retain few vestiges of Moorish dominion. - Apart, and another similar system of lines at right angles to the first, thus dividing the silvered surface of the plate into
**squares**5 mm. - The houses are well built, the market-places and
**squares**handsome and spacious. - Of f=0, :and notices that they become identical on substituting 0 for k, and -f for X; hence, if k1, k2, k 3 be the roots of the resolvent -21 2 = (o + k if) (A + k 2f)(o + k 3f); and now, if all the roots of f be different, so also are those of the resolvent, since the latter, and f, have practically the same discriminant; consequently each of the three factors, of -21 2, must be perfect
**squares**and taking the square root 1 t = -' (1)ï¿½x4; and it can be shown that 0, x, 1P are the three conjugate quadratic factors of t above mentioned. - The tops of their heads had no hair, but were carved into a variety of fantastic shapes, some having a row of points or balls around the top, others designs resembling flowers or vegetables, and still others having
**squares**that looked like waffles cut criss-cross on their heads. - The
**squares**are cut out, so that the men stand in them firmly. - Or, if you choose to go farther, it will not be unwise, for I have found the increase of fair bait to be very nearly as the
**squares**of the distances. - * So that
**squares**matters. - In half an hour all was again in order, only the
**squares**had become gray instead of black.