Square Sentence Examples

This area is ten square miles, though.

On the square in front of the Bazaar were drummers beating the muster call.

The square patch of light woke her.

The micrometer readings for coincidence of the movable webs with the webs of the fixed square shall be exactly 0 000R and io-000R.

The 'holding cell' was a lavishly appointed 700 square foot room.

How many men are there to a square thousand miles in this country?

The crossing is surmounted by a dome, and the extremity of the north transept by a fine square tower over 160 ft.

She threw the egg at him and it landed square in the middle of his forehead.

The micrometer is provided with a " fixed square " 5 mm.

The old courthouse was a massive structure dominating the town square.

She trotted through the square until she found it and crouched beside it to see names at the very bottom, the names of the nobles' servants.

It was made of two white pine logs dug out and pinned together, and was cut off square at the ends.

She crossed to the boxes she had stacked in the corner and covered with a square of cloth.

The outline turned to a bright square of light, and she followed him again.

Kyaukse town is situated on the Zawgyi River and on the Rangoon-Mandalay railway line, and is well laid out in regular streets, covering an area of about a square mile.

The church of the Holy Trinity, the oldest part of which dates from about 1 200, is a Gothic building with five aisles and a square tower.

A memorial in Church Square commemorates the Franklin expedition to the discovery of the North-West Passage, and in particular Captain Francis Crozier, who was born at Banbridge in 1796 and served on the expedition.

By means of the quick rack motions A and B move the plate so as to bring the reseau-square into the centre of the field of the micrometer; then, by means of the screw heads o, p, perfect the coincidence of the " fixed square " of webs, with the image of the reseau-square.

The interior of the mosque is square and is divided into aisles by columns joined by Moorish arches.

The mouth may be a simple, circular pore at the extremity of the manubrium, or by folding of the edges it may become square or shaped like a Maltese cross, with four corners and four lips.

In the centre of the city stands the unfinished Belfry (Beffroi), a square tower some 300 ft.

To the north of the Oudeburg, on the other side of the Lys, is the Marche du Vendredi, the principal square of the city.

The maximum rate of combustion may be as much as so lb of coal per square foot of grate per hour, and in exceptional cases even a greater rate than this has been maintained.

In general his object is to reduce the final equation to a simple one by making such an assumption for the side of the square or cube to which the expression in x is to be equal as will make the necessary number of coefficients vanish.

Lastly, the square was extended southwards in the 16th century, when the new palace of the procurators, K, was built by Scamozzi.

In the north portico a square hole in the floor, with a corresponding hole in the roof above it, must have given access to another sacred object, the mark of Poseidon's trident in the rock.

Arrived at the place of burial, the body was set in a square pit with spears marking out its sides and a roof of matting.

To the west of the main shaft were three square pits with horses and their harness, and by them two pits with men's skeletons.

In general, the use of a square or rectangular cloth (whether folded diagonally or not) corresponds to the modern keffiyeh woven with long fringes which are plaited into cords knitted at the ends or worked into little balls sewn over with coloured silks and golden From Palestine Exploration Fund threads.

It was a square piece of woollen stuff about a foot longer than the height of the wearer, and equal in breadth to twice the span of the arms measured from wrist to wrist.

The houses of this city had many corners, being square and six-sided and eight-sided.

At a corner of the square is a remarkable cannon, known as Dulle Griete (Mad Meg), 19 ft.

Its chief remains of antiquity are a square peel-tower and the cruciform church of St Andrew, of which part of the fabric is of pre-Conquest date, though the building is mainly Early English.

The Hauraki Gulf, a great square inlet opening northward, is studded with islands of considerable elevation; Rangitoto, which protects the harbour, is a volcanic cone reaching nearly l000 ft.

The leaves of most mosses are flat plates, each consisting of a single layer of square or oblong assimilating (chlorophyllous) cells.

Hemsley remarks that the northerr genus Erica, which covers thousands of square miles in Europe with very few species, is represented by hundreds of species in I comparatively small area in South Africa.

One end of the hippodrome was semicircular, and the other end square with an extensive portico, in front of which, at a lower level, were the stalls for the horses and chariots.

The principal building is the state capitol (completed in 1857) in a square of ten acres at the intersection of High and Broad streets.

The former, standing on the south side of the market square, is a Gothic structure, erected in 1353-1370 on the ruins of Charlemagne's palace.

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.

The city's park system includes the Western Promenade, on Bramhall Hill; the Eastern Promenade, on Munjoy Hill; Fort Allen Park, at the south extremity of the latter promenade; Fort Sumner, another small park farther west, on the same hill; Lincoln Park, containing 2 acres of beautiful grounds near the centre of the city; Deering's Oaks (made famous by Longfellow), the principal park (50 acres) on the peninsula, with many fine old trees, pleasant drives, and an artificial pond used for boating; and Monument Square and Boothby Square.

The shrine of Imam Reza is the most venerated spot in Persia, and yearly visited by more than 100,000 pilgrims. Eastwick thus describes it (Journal of a Diplomat's Three Years' Residence in Persia, London, 1864) "The quadrangle of the shrine seemed to be about 150 paces square.

The height to the top of this square wall must have been 90 or 100 ft.

The holes are so placed that the log-ship will hang square from the span thus formed.

The plan of the Propylaea consists of a large square hall, from which five steps lead up to a wall pierced by five gateways of graduated sizes, the central one giving passage to a road suitable for beasts or possibly for vehicles.

The abdomen is oval, sandy-grey in hue and beset with warts and bristles; the prothorax forms a mobile neck for the large square head, which carries a pair of long and powerful toothed mandibles.

Let p be the mean pressure in pounds per square inch, calculated from an indicator diagram taken from a particular cylinder when the speed of the crank-shaft is n revolutions per second.

A few experimental results are set forth in Table XX., from which it will be seen that with a relatively low rate of combustion, a rate which denotes very light service, namely lb of coal per square foot of grate per hour, the efficiency of the boiler is %, which is as good a result as can be obtained with the best class of stationary boiler or marine boiler even when using economizers.

Let the boiler pressure be 175 lb per square inch.

Taking 85% of this, the maximum mean effective pressure would be 149 lb per square inch.

The engine can only exert this large tractive force so long as the mean pressure is maintained at 149 lb per square inch.

This high mean pressure cannot be maintained for long, because as the speed increases the demand for steam per unit of time increases, so that cut-off must take place earlier and earlier in the stroke, the limiting steady speed being attained when the rate at which steam is supplied to the cylinders is adjusted by the cut-off to be equal to the maximum rate at which the boiler can produce steam, which depends upon the maximum rate at which coal can be burnt per square foot of grate.

If C is the number of pounds of coal burnt per square foot of grate per hour, the calorific value of which is c B.Th.U.

When the initial pressure is 100 lb per square inch by the gauge the thermal efficiency drops to about nearly 15% with the same back pressure.

In a particular case where the boiler pressure was maintained constant at 130 lb per square inch, and the cut-off was approximately 20% of the stroke, the values c =55 and b=o 031 were deduced, from which it will be found that the value of the piston speed corresponding to the maximum horsepower is 887 ft.

The sides of the square are 6 in., and the centres AA are taken at 2 in.

The rose gardens cover several square miles.

In the principal square stands the town hall, built in1448-1457in the VenetianGothic style, and skilfully restored after a fire in 1876; opposite is a clock tower resembling that of the Piazza di San Marco at Venice.

In the square is a statue of Peace, erected in commemoration of the peace of Campo Formio (1796), which lies 5 m.

The outer faces of the walls are strengthened by square buttresses built out at intervals of 60 yds., and on the summits of these stand the guard-houses for the troops on duty.

There still remains close to the first-named street and fronting the Corso Garibaldi a high wall built of square Roman bricks, with pillars and arched recesses in the upper portion, which goes by the name of Palazzo di Teodorico.

It would take 20 tons of coal a day burned on each square foot of the sun's surface to supply the daily radiation.

According to the census taken in 1881, the complete publication of which was interdicted by the Turkish authorities, the population of the island was 279,165, or 35.78 to the square kilometre.

The palace itself approximately formed a square with a large paved court in the centre.

Among other Greek remains in the island may be mentioned, besides the great inscription, the archaic temple of the Pythian Apollo at Gortyna, a plain square building with a pronaos added in later times, excavated by Halbherr G 3' ?

The colonies of Aphaenogaster occupy nests extending over an area of fifty to a hundred square yards several feet below the surface of the ground.

The Robert Browning Settlement was founded in York Street, Walworth Road, in 1895 and incorporated in 1903, and in Nelson Square is the Women's University Settlement.

To the west lie the fine square, with public gardens, still called, from its original character, Lincoln's Inn Fields.

In the centre of the town stand the Place de la Republique, a spacious square overlooked by the hotel de ville, the museum, and the old cathedral of St Trophime, the finest Romanesque church in Provence.

But the bulk of the work consists of problems leading to indeterminate equations of the second degree, and these universally take the form that one or two (and never more) linear or quadratic functions of one variable x are to be made rational square numbers by finding a suitable value for x.

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.

Emboldened perhaps by the windfall of 1813, Bentham in the following year took a lease of Ford Abbey, a fine mansion with a deer-park, in Dorsetshire; but in 1818 returned to the house in Queen's Square Place which he had occupied since the death of his father in 1792.

The State Capitol Square (to acres) is not owned by the city.

Richmond has many fine monuments and statues of historic interest and artistic merit, the most noteworthy of the former being the Washington Monument, in Capitol Square.

But what more than any other point of strategy made the fight famous was that the Scots fought on foot in battalions with their spears outwards, in a circular formation serving the same purpose as the modern square.

Mercuriale stands in the principal square, and contains, besides paintings, some good carved and inlaid choir stalls by Alessandro dei Bigni.

To enable the reader to compare the several groups of Nitzsch with the families of L'Herminier, the numbers applied by the latter to his families are suffixed in square brackets to the names of the former; and, disregarding the order of sequence, which is here immaterial, the essential correspondence of the two systems is worthy of all attention, for it obviously means that these two investigators, starting from different points, must have been on the right track, when they so often coincided as to the limits of what they considered to be, and what we are now almost justified in calling, natural groups.'

Between the lessons the ass was solemnly fed, and at the conclusion of the service was led by the precentor out into the square before the church (conductus ad ludos); water was poured on the precentor's head, and the ass became the centre of burlesque ceremonies, dancing and buffoonery being carried on far into the night, while the clergy and the serious-minded retired to matins and bed.

The Square chapel, erected by the Congregationalists in 18J7, is a striking cruciform building with a tower and elaborate crocketed spire.

The dome is the leading idea or motif in Byzantine ecclesiastical architecture; the domes are placed over square, not circular apartments, and their bases are brought to a circle by means of pendentives.

The addition of a narthex before the main front and a vestibule on the northern side brings the whole western arm of the cross to a square on plan.

The first enlargement of the square was effected by Doge Sebastiano Ziani in 1176, when he filled up the canal and rebuilt the church on a new site at D, thus nearly doubling the size of the square.

It is almost invariably square; the only examples of round campanili in this part of Italy are to be found at Ravenna and at Caorle to the east of Venice; while inside Venice itself the solitary exception to the square plan was the campanile of San Paternian, built in 999 and now demolished, which was a hexagon.

Above the shaft comes the arcaded bell-chamber, frequently built of Istrian stone; and above that again the attic, either round or square or octagonal, carrying either a cone or a pyramid or a cupola, sometimes surmounted by a cross or a gilded angel which serves as a weathercock.

At some distance from the shaft a square water-tight wall was built, and the space between it and the shaft was filled in with sand, which was purified of all saline matter by repeated washings; on the ground-level perforated stones set at the four corners of the basin admitted the rain-water, which was discharged from the roofs by lead pipes; this water filtered through the sand and percolated into the shaft of the well, whence it was drawn in copper buckets.

The writing is a modified form of the old Aramaic character, and especially interesting because it represents almost the last stage through which the ancient alphabet passed before it developed into the Hebrew square character.

The lemniscate of Bernoulli may be defined as the locus of a point which moves so that the product of its distances from two fixed points is constant and is equal to the square of half the distance between these points.

Next year he was ordained to the curacy of St Mary's, Bryanston Square, and took priest's orders in 1868.

The bales are usually square, but cylindrical bales are becoming more common, though their cost is greater.

Owing to complaints of the careless packing of American cotton, attention has been devoted of late to the improvement of the square bale.

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.

The reason is that the heat produced in a given time in a wire is proportional to the square of the strength of the current passing through it, and hence the rate at which the heat is produced in the wire, and therefore its temperature, increases much faster than the current itself increases.

In these circumstances the torsional angle becomes a measure of the torque and therefore of the product of the strengths of the currents in the two coils, that is to say, of the square of the strength of the current passing through the two coils if they are joined up in series.

Since the current passing through the balance when equilibrium is obtained with a given weight is proportional to the square root of the couple due to this weight, it follows that the current strength when equilibrium is obtained is proportional to the product of the square root of the weight used and the square root of the displacement distance of this weight from its zero position.

Each instrument is accompanied by a pair of weights and by a square root table, so that the product of the square root of the number corresponding to the position of the sliding weight and the ascertained constant for each weight, gives at once the value of the current in amperes.

This consisted of eighty square pillars, 7 ft.

By geometrical consideration it can be shown that the angle subtended by p, as seen from F, must be inversely as the square of its distance r.

We therefore have the fundamental theorem that the angular velocity of the body around the centre of attraction varies inversely as the square of its distance, and is therefore at every point proportional to the gravitation of the sun.

The oldest stage-building was erected in the time of Lycurgus; it consisted of a rectangular hall with square projections (1rapauKs vca) on either side; in As= front of this was built in late Greek or early Roman times a stage with a row of columns which intruded upon the orchestra space; a later and larger stage, dating from the time of Nero, advanced still farther into the orchestra, and this was finally faced (probably in the 3rd century A.D.) by the " bema " of Phaedrus, a platform-wall decorated with earlier reliefs, the slabs of which were cut down to suit their new position.

Excavations carried out in 1898-1899 showed that the structure was nearly square; the only portion remaining is the slightly curved front, with three niches between Corinthian pilasters; in the central niche is the statue of Philopappus.

Besides completing the gigantic Olympieum he enlarged the circuit of the city walls to the east, enclosing the area now covered by the royal and the build- public gardens and the Constitution Square.

This cloistered edifice may be identified with the library of Hadrian mentioned by Pausanias; the books were, perhaps, stored in a square building which occupied a portion of the central area.

The police station is partly accommodated in an ancient square tower, once the stronghold of the Johnstones, for a long period the ruling family under whose protection the town gradually grew up. At Dryfe Sands, about 2 m.

A bipartient factor is a number whose square exactly divides another number.

In 1906, however, no fewer than 1956 dogs were entered at the show of the Westminster Kennel Club, held in Madison Square.

The 17th-century spire was removed in 1707, and replaced by a square tower, which was rebuilt in 1797; the chancel was rebuilt in 1869.

The place, usually called the Grand Square, is an oblong open space, tree-lined, in the centre of which there is an equestrian statue of the prince after whom it is named.

The square is faced with handsome buildings mainly in the Italian style.

A number of short streets lead from the square to the eastern harbour.

In the district between the Grand Square and the western harbour, one of the poorest quarters of the city, is an open space with Fort Caffareli or Napoleon in the centre.

The end of this abutted on the land at the head of the present Grand Square, where rose the "Moon Gate."

Lichens are generally mounted on sheets of paper of the ordinary size, several specimens from different localities being laid upon one sheet, each specimen having been first placed on a small square of paper which is gummed on the sheet, and which has the locality, date, name of collector, &c., written upon it.

The greater part of the tombs stand on either side of the galleries in square recesses (like the table-tombs of the Roman catacombs), and are rudely fashioned to imitate sarcophagi.

It is a square tower built over a circular, probably Norman, arch, and has embattled corner turrets.

The average of settlement per square mile varied from 169.7 in Havana province to 11.8 in Camaguey, and was 46.4 for all of Cuba; the percentage of urban population (in cities, that is, with more than 1000 inhabitants) in the different provinces.

The total population of the Turkish Empire in 1910, including Egypt and other regions nominally under the sultan's suzerainty, was 36,323,539, averaging 25 to the square mile; in the provinces directly under Turkish government, 25,926,000.

The fixed rent is pp piastres per jerib (about 10,000 square metres), to he paid whether the mine is worked or not.

The emperor gathered little from the confused reports of their purposeless manoeuvres, but, secure in the midst of his " battalion square " of 200,000 men, he remained quite indifferent, well knowing that an advance straight on Berlin must force his enemy to concentrate and fight, and as they would bring at most 127,000 men on to the battlefield the result could hardly be doubtful.

By nightfall upwards of 100,000 men, encumbered with at least 20,000 wounded, were crowded together on the little island scarcely a mile square, short of provisions and entirely destitute of course of all hospital accessories.

Kutusov had been very slow in exploiting his success of the 24th and indeed had begun the pursuit in a false direction; but about the 2nd of November, headquarters of the French being at Vyazma, the Cossacks became so threatening that the emperor ordered the army to march (as in Egypt) in hollow square.

The Mosque of the Vizier, on the eastern side of the Tigris, near the pontoon bridge, has a fine dome and a lofty minaret, and the Great Mosque in the square of el Meidan, in the neighbourhood of the serai, is also a noble building.

The principal buildings are the town hall, with some ancient furniture, a large 15th century church with a notable square tower, a municipal orphanage, and the Nassau-Veluwe gymnasium.

The Liber abaci, which fills 459 printed pages, contains the most perfect methods of calculating with whole numbers and with fractions, practice, extraction of the square and cube roots, proportion, chain rule, finding of proportional parts, averages, progressions, even compound interest, just as in the completest mercantile arithmetics of our days.

They teach further the solution of problems leading to equations of the first and second degree, to determinate and indeterminate equations, not by single and double position only, but by real algebra, proved by means of geometric constructions, and including the use of letters as symbols for known numbers, the unknown quantity being called res and its square census.

Arabian authors already had found three square numbers of equal difference, but the difference itself had not been assigned in proposing the question.

In the Public Square is a soldiers' and sailors' monument consisting of a granite shaft rising from a memorial room to a height of 125 ft., and surmounted with a figure of Liberty; in the same park, also, is a bronze statue of Moses Cleaveland, the founder of the city.

The great altar lay to the south of the temple, and a little to the east of it are what appear to be the remains of an earlier altar, built into the corner of a large Square edifice of Roman date, perhaps a house of the priests.

The point of this leading shoot is subsequently pinched off, that it may not draw away too much of the sap. If the fruit sets too abundantly, it must be thinned, first when as large as peas, reducing the clusters, and then when as large as nuts to distribute the crop equally; the extent of the thinning must depend on the vigour of the tree, but one or two fruits ultimately left to each square foot of wall is a full average crop. The final thinning should take place after stoning.

During the rains the Brahmaputra floods hundreds of square miles of country, reaching a height of 30 to 40 ft.

Let x be the number of molecules which dissociate per second when the number of undissociated molecules in unit volume is unity, then in a dilute solution where the molecules do not interfere with each other, xp is the number when the concentration is p. Recombination can only occur when two ions meet, and since the frequency with which this will happen is, in dilute solution, proportional to the square of the ionic concentration, we shall get for the number of molecules re-formed in one second ye where q is the number of dissociated molecules in one cubic centimetre.

The equation then becomes a 2 /V = k, or a = A / Vk, so that the molecular conductivity is proportional to the square root of the dilution.

Van 't Hoff's formula is equivalent to taking the frequency of dissociation as proportional to the square of the concentration of the molecules, and the frequency of recombination as proportional to the cube of the concentration of the ions.

An explanation of the failure of the usual dilution law in these cases may be given if we remember that, while the electric forces between bodies like undissociated molecules, each associated with equal and opposite charges, will vary inversely as the fourth power of the distance, the forces between dissociated ions, each carrying one charge only, will be inversely proportional to the square of the distance.

The western gable with its flamboyant window and Gothic door and the massive square tower are all that is left of the original edifice.

The massive and richly decorated square tower in the centre of the west façade, which for centuries terminated in a temporary spire, was completed in 1890, according to the original plans, by the addition of an octagonal storey and a tall open spire (528 ft.), the loftiest ecclesiastical erection in the world, outstripping the twin spires of Cologne cathedral by 21 ft.

In particular the square of a determinant is a deter minant of the same order (b 11 b 22 b 33 ...b nn) such that bik = b ki; it is for this reason termed symmetrical.

It was observed above that the square of a determinant when expressed as a determinant of the same order is such that its elements have the property expressed by aik = aki.

When a skew symmetric determinant is of even degree it is a perfect square.

In the case of the determinant of order 4 the square root is Al2A34 - A 13 A 24 +A14A23.

The discriminant of the product of two forms is equal to the product of their discriminants multiplied by the square of their resultant.

It should be noticed that the real function denoted by (ab) 2 is not the square of a real function denoted by (ab).

The expression (ab) 4 properly appertains to a quartic; for a quadratic it may also be written (ab) 2 (cd) 2, and would denote the square of the discriminant to a factor pres.

If (f,4) 1 be not a perfect square, and rx, s x be its linear factors, it is possible to express f and 4, in the canonical forms Xi(rx)2+X2(sx)2, 111(rx)2+1.2 (sx) 2 respectively.

In Cumberland, Northumberland, Durham and latterly the United States, the reverberatory furnace is used only for roasting the ore, and the oxidized ore is then reduced by fusion in a low, square blastfurnace (a "Scottish hearth furnace") lined with cast iron, as is also the inclined sole-plate which is made to project beyond the furnace, the outside portion (the "work-stone") being provided with grooves guiding any molten metal that may be placed on the "stone" into a cast iron pot; the "tuyere" for the introduction of the wind was, in the earlier types, about half way down the furnace.

They consist of a square citadel (Bairam Ali Khan kalah), s z m.

Coulomb, who by using very long and thin magnets, so arranged that the action of their distant poles was negligible, succeeded in establishing the law, which has since been confirmed by more accurate methods, that the force of attraction or repulsion exerted between two magnetic poles varies inversely as the square of the distance between them.

In a uniform magnetic field of unit intensity formed in empty space the induction or magnetic flux across an area of I square centimetre normal to the direction of the field is arbitrarily taken as the unit of induction.

Hence if the induction per square centimetre at any point is denoted by B, then in empty space B is numerically equal to H; moreover in isotropic media both have the same direction, and for these reasons it is often said that in empty space (and practically in air and other nonmagnetic substances) B and H are identical.

The magnetic flux per square centimetre at any point (B, B, or 0) is briefly called the induction, or, especially by electrical engineers, the flux-density.

The induction may therefore be specified as B lines per square centimetre.

The total magnetic induction or flux corresponds to the current of electricity (practically measured in amperes); the induction or flux density B to the density of the current (number of amperes to the square centimetre of section); the magnetic permeability to the specific electric conductivity; and the line integral of the magnetic force, sometimes called the magnetomotive force, to the electro-motive force in the circuit.

If the conductor consists of a coil of wire the ends of which are connected with a suitable galvanometer, the integral electromotive force due to a sudden increase or decrease of the induction through the coil displaces in the circuit a quantity of electricity Q=SBns R, where SB is the increment or decrement of induction per square centimetre, s is the area of the coil, n the number of turns of wire, and R the resistance of the circuit.

The test bar C C, which slides through holes bored in the yoke, is divided near the middle into two parts, the ends which come into contact being faced true and square.

F=27r12+HI expressed as dynes per square centimetre.

In the case supposed therefore the total force per square centimetre is H2 F =2712-f-HI+B ?r (4 7r I +H)2 8?r B2 =87r.

He made use of the expression F =Wg=27r12+HI, where W is the weight in grammes per square centimetre of sectional area, and g is the intensity of gravity which was taken as.

The greatest weight supported in the experiments was 14,600 grammes per square cm., and the corresponding induction 18, Soo units.

If the pull is measured in pounds and the area in square inches, the formula may be written B =1317 X iI P/S +H.

But when exceptionally strong fields are desired, the use of a coil is limited by the heating effect of the magnetizing current, the quantity of heat generated per unit of time in a coil of given dimensions increasing as the square of the magnetic field produced in its interior.

According to Joule's observations, the length of a bar of iron or soft steel was increased by magnetization, the elongation being proportional up to a certain point to the square of the intensity of magnetization; but when the " saturation point " was approached the elongation was less than this law would require, and a stage was finally reached at which further increase of the magnetizing force produced little or no effect upon the length.

Even under so " moderate " a load as 33 kilogrammes per square mm., the induced magnetization of a hard-drawn nickel wire in a field of 60 fell from 386 to 72 units, while the residual was reduced from about 280 to io.

The maximum susceptibility of one of his bars rose from 5.6 to 29 under a stress of 19.8 kilos per square mm.

Ewing's independent experiments showed that the magnetization curve for a cobalt rod under a load of 16.2 kilogrammes per square mm.

Coulomb, 2 however, by using long and thin steel rods, symmetrically magnetized, and so arranged that disturbing influences became negligibly small, was enabled to deduce from his experiments with reasonable certainty the law that the force of attraction or repulsion between two poles varies inversely as the square of the distance between them.

The chances against yet another coincidence are a hundred million to one, and against yet one more " coincidence " they are the square of a hundred million to one.

Jerome's practice, however, did not square with his theory.

The streets of Dunkirk are wide and well paved, the chief of them converging to the square named after Jean Bart (born at Dunkirk in 1651), whose statue by David d'Angers stands at its centre.

Remains of a monastery of the Cordeliers (15th and 17th centuries), of a building (13th century)known as the Palais Cardinal, and a square keep (the chief relic of a stronghold founded by Louis VIII.) are also to be seen.

Large areas of these great river plains are annually flooded, the flood-plains of the Amazon extending nearly across the whole country and comprising thousands of square miles.

The town hall is the principal modern building, and the fountain erected in Market Square to the memory of the 6th duke of Atholl (d.1864) occupies the site of the old cross.

The 4th duke planted several square miles of the estate with this tree, of which he had made a special study.

Just outside the church in Parliament Square, the supposed grave of John Knox is indicated by a stone set in the pavement bearing his initials, and in the pavement to the west a heart indicates the site of the old Tolbooth,' which figures prominently in Scott's Heart of Midlothian.

Other churches having historical associations are the two Greyfriars churches, which occupy the two halves of one building; Tron church, the scene of midnight hilarity at the new year; St Cuthbert's church; St Andrew's church in George Street, whence set out, on a memorable day in 1843, that long procession of ministers and elders to Tanfield Hall which ended in the founding of the Free Church; St George's church in Charlotte Square, a good example of the work of Robert Adam.

At the west end of George Street, in the centre of Charlotte Square, stands the Albert Memorial, an equestrian statue of the prince consort, with groups at each of the four angles of the base.

The medical school stands in Teviot Row, adjoining George Square and the Meadows.

This root-and-branch policy proved enormously successful, and George Watson's college, Stewart's college, Queen Street ladies' college, George Square ladies' college, Gillespie's school, and others, rapidly took a high place among the educational institutions of the city.

In 1763 the first North Bridge, connecting the Old Town with the sloping ground on which afterwards stood the Register House and the theatre in Shakespeare Square, was opened; a little later the Nor' Loch was partially drained, and the bridging of the Cowgate in 1785 encouraged expansion southwards.

Bank of Scotland, the Royal Bank of Scotland, and the British Linen Company's Bank are in St Andrew Square, the Bank of Scotland is at the head of the Mound.

They are held in the public square, the curious and historic Piazza del Campo (now Piazza di Vittorio Emanuele) in shape resembling an ancient theatre, on the 2nd of July and the 16th of August of each year; they date from the middle ages and were instituted in commemoration of victories and in honour of the Virgin Mary (the old title of Siena, as shown by seals and medals, having been "Sena vetus civitas Virginis").

It is built round a square interior court surrounded by arcades, and is occupied by learned societies.

It has a fine and well-preserved castle, built in 1490 by Gentile Virginio Orsini; it is square, with round towers at the angles.

After passing some time at school in Soho Square, and at a Kentish village, he went from 1744 to 1746 to Westminster School and for the next five or six years was at Eton.

Population.-Hungary had in 1900 a population of 19,254,559, equivalent to 153.7 inhabitants per square mile.

We can, however, find a number whose square shall be as nearly equal to 5 as we please, and it is this number that we treat arithmetically as 1 15.

The name l'arte magiore, the greater art, is designed to distinguish it from l'arte minore, the lesser art, a term which he applied to the modern arithmetic. His second variant, la regula de la cosa, the rule of the thing or unknown quantity, appears to have been in common use in Italy, and the word cosa was preserved for several centuries in the forms toss or algebra, cossic or algebraic, cossist or algebraist, &c. Other Italian writers termed it the Regula rei et census, the rule of the thing and the product, or the root and the square.

The principle underlying this expression is probably to be found in the fact that it measured the limits of their attainments in algebra, for they were unable to solve equations of a higher degree than the quadratic or square.

In the preface to this work, which is dedicated to one Dionysius, Diophantus explains his notation, naming the square, cube and fourth powers, dynamis, cubus, dynamodinimus, and so on, according to the sum in the indices.

It is thought to have been square, each side measuring some 210 ft., with towers and turrets.

If on the other hand the number of zones be odd, the effects conspire; and the illumination (proportional to the square of the amplitude) is four times as great as if there were no obstruction at all.

As the minimum focal length increases with the square of the aperture, a quite impracticable distance would be required to rival the resolving power of a modern telescope.

We have ultimately G =o, H = (7rV)- 1, so that 1 2 = I / 12V 2, or the illumination is inversely as the square of the distance from the shadow of the edge.

The intensity is then, as always, represented by the square of the length of the chord.

The founder, Thomas Lord (1814), at first established a cricket ground in the present Dorset Square, but it was soon moved here.

The Wallace Art Collection, Hertford House, Manchester Square, was bequeathed by Sir Richard Wallace to the nation on the death of his wife in 1897.

Harley Street, between Marylebone Road and Cavendish Square, is noted as the residence of medical practitioners.

Educational institutions include the Trinity and the Victoria Colleges of Music, in Manchester Square and Berners Street respectively; the Bedford College for women, and the Regent's Park Baptist College.

But the garment usually worn by men of mature age was the iµaTCov, which was (like the rbrXos) a plain square of woollen stuff.

Among the sculptor's principal statues are " The Bishop of Carlisle " (1895; Carlisle Cathedral), " General Charles Gordon " (Trafalgar Square, London), " Oliver Cromwell " (Westminster), " Dean Colet " (a bronze group - early Italianate in feeling - outside St Paul's School, Hammersmith), " King Alfred " (a colossal memorial for Winchester), the " Gladstone Monument " (in the Strand, London) and " Dr Mandell Creighton, Bishop of London " (bronze, erected in St Paul's Cathedral).

So uniform is the level over a great part of these plains that in the rainy season hundreds of square miles are submerged, and the country is covered with a network of connecting channels.

A statue of him was erected in the principal square in 1875.

In the centre of this part of Pretoria is Church Square, so named from the Dutch Reformed Church which stood in it, but was demolished in 1905.

Government buildings on the south side of the square contain the chambers of the Provincial Council and other public offices.

On the north side of the square are the law courts, on the west side the Post Office.

The chief banking offices are also in the square.

Running east and west from Church Square is Church Street, the chief business thoroughfare.

A little east of Church Square this street opens on to Market Square, with commodious market buildings.

It is square below, with an octagonal summit of a slightly later period.

It possesses the rare feature of two western towers, the one square and embattled, the other octagonal and bearing a short spire.

In the 17th and 18th centuries it was a favourite duellingground, and in the present day it is not infrequently the scene of political and other popular demonstrations (as is also Trafalgar Square), while the neighbourhood of Marble Arch is the constant resort of orators on social and religious topics.

Some fine churches belong to this period, such as St Martin's-in-the-Fields (1726), the Corinthian portico of which rises on the upper part of Trafalgar Square; but other examples are regrettable.

The government offices are principally in Whitehall, the fine thoroughfare which connects Parliament Square, in the angle between the Houses and the Abbey, with Trafalgar Square.

Provision was made in the design, by Sir Aston Webb, for the extension of the Mall to open upon Trafalgar Square, through gateways in a semicircular range of buildings to be occupied by government offices, and for a wide circular space in front of the Palace, with a statue of the Queen by Thomas Brock in its centre.

The Nelson Column, the central feature of Trafalgar Square, is from the designs of William Railton (1843), crowned with a statue of Nelson by Baily, and has at its base four colossal lions in bronze, modelled by Sir Edwin Landseer.

In Parliament Square and elsewhere are numerous statues, some of high merit, but it cannot be said that statuary occupies an important place in the adornment of streets and open places in London.

Northumberland House, from which is named Northumberland Avenue, opening upon Trafalgar Square, was built c. 1605 by Henry Howard, earl of Northampton, and was acquired by marriage by Algernon Percy, earl of Northumberland, in 1642.

A number of sub-offices of large steamship lines are congregated in Cockspur Street, Trafalgar Square, and several of the principal railway companies have local offices throughout the centre of the metropolis for the issue of tickets and the collection and forwarding of luggage and parcels.

Such are that of the London Necropolis Company at Brookwood near Woking, Surrey, and that of the parishes of St Mary Abbots, Kensington, and St George, Hanover Square, at Hanwell, Middlesex.

The Royal College of Veterinary Surgeons is in Red Lion Square, and the Royal Veterinary College at Camden Town.

Music. - The principal educational institutions are - the Royal Academy of Music, Tenterden Street, Hanover Square; the Royal College of Music, South Kensington; Guildhall School, City, near the Victoria Embankment; London College, Great Marlborough Street; Trinity College, Manchester Square; Victoria College, Berners Street; and the Royal College of Organists, Bloomsbury.

The Royal Horticultural Society maintains gardens at Wisley, Surrey, and has an exhibition hall in Vincent Square, Westminster.

Among permanent art collections the first place is taken by the National Gallery in Trafalgar Square.

The Wallace collection of paintings and objects of art, in Hertford House, Manchester Square, was bequeathed to the nation by the widow of Sir Richard Wallace in 1897.

Among lending libraries should be noticed the London Library in St James's Square, Pall Mall.

The principal music halls (variety theatres) are in Shaftesbury Avenue, Piccadilly Circus, Leicester Square and the Strand.

The Metropolitan police courts are fourteen in number, namely - Bow Street, Covent Garden; Clerkenwell; Great Marlborough Street (Westminster); Greenwich and Woolwich; Lambeth; Marylebone; North London, Stoke Newington Road; Southwark; South Western, Lavender Hill (Battersea); Thames, Arbour Street East (Stepney); West Ham; West London, Vernon Street (Fulham); Westminster, Vincent Square; Worship Street (Shoreditch).

There are numerous foreign churches, among which may be mentioned the French Protestant churches in Monmouth Road, Bayswater and Soho Square; the Greek church of St Sophia, Moscow Road, Bayswater; and the German Evangelical church in Montpelier Place, Brompton Road, opened in 1904.

The line from Bishopsgate ran eastward to St Giles's churchyard (Cripplegate), where it turned to the south as far as Falcon square; again westerly by Aldersgate round the site of the Greyfriars (afterwards Christ's Hospital) towards Giltspur Street, then south by the Old Bailey to Ludgate, and then down to the Thames, where Dr Edwin Freshfield suggests that a Roman fortress stood on the site of Baynard's Castle.

The great square or piazza of Covent Garden was formed from the designs of Inigo Jones about 1632.

Bedford House in Bloomsbury Square had its full view of Hampstead and Highgate from the back, and Queen's Square was built open to the north in order that the inhabitants might obtain the same prospect.

Finsbury Square was the first public place in which gas lighting was actually adopted, and Grosvenor Square the last.

In the principal square rises a Gothic column, 40 ft.

Within a mile of Ulundi the British force, formed in a hollow square, was attacked by a Zulu army numbering 12,000 to 15,000.

With soft material, pillars must be large, even at moderate depths below the surface, and it involves less labour to leave long rectangular pillars than to form numerous Pillar- square ones.

This resistance is equal to the square of the velocity of the current in feet per minute, Air.

A remarkable feature is the bare statement of a number of very close approximations to the square roots of numbers which are not complete squares.

Others occur in the Metrica where also a method of finding such approximate square, and even approximate cube, roots is shown.

The approximation to square roots in Hero has been the subject of papers too numerous to mention.

The density of population per square mile is 44 as compared with 167 for the whole of India and S52 for the Bengal Delta.

For this purpose a cylinder of fireclay, provided with a square axial hole at the upper end, is heated in a small subsidiary furnace and is then introduced into the molten glass.

Owing to this property, tubes or canes can be produced with a square, oblong, oval or triangular section.

Prior has introduced an ingenious method of making small oblong and square sheets of coloured glass, which are thick in the centre and taper towards the edges, and which have one surface slightly roughened and one brilliantly polished.

From the annealing kiln the slabs of glass are transported to the cutting room, where they are cut square, defective slabs being rejected or cut down to smaller sizes.

The former was made, as described by Theophilus, from cylinders, which were split, reheated and flattened into square sheets.

During excavations in Broad Street in 1874 many fragments of glass were found.; amongst them were part of a wine-glass, a square scent-bottle and a wine-glass stem containing a spiral thread of white enamel.

The Khalifa's house (a two-storeyed building), the mosque, the Beit el Amana (arsenal) and other houses famed in the history of the town also face the central square.

The building is one of three storeys each with ten pointed windows forming the facade facing the square.

I +W a W a), ' (k) 4 (I I) I+ w- R For a shot in air the ratio W'/W is so small that the square may be neglected, and formula (II) can be replaced for practical purpose in artillery by tan26= n2 = W i (0 - a) (k ð)7()4, (12) if then we can calculate /3, a, or (3-a for the external shape of the shot, this equation will give the value of 6 and n required for stability of flight in the air.

He sought refuge in a house in the Riddarhus Square, but the mob rushed after him, brutally maltreated him and tore his robes to pieces.

This horrible outrage, which lasted more than an hour, happened, too, in the presence of numerous troops, drawn up in the Riddarhus Square, who made not the slightest effort to rescue the Riksmarskalk from his tormentors.

Forgetful or ignorant of the great principle announced and established by Rilleux, they have mostly devoted their energies and ingenuity to contriving all sorts of complicated arrangements to give the juice the density required, by passing and repassing it over the heating surface of the apparatus, the saving of a few square feet of which would seem to have been their main object.

But this competition among inventors, whatever the incentive, has not been without benefit, because to-day, by means of very simple improvements in details, such as the addition of circulators and increased area of connexions, what may be taken to be the standard type of multiple-effect evaporator (that is to say, vertical vacuum pans fitted with vertical heating tubes, through which passes the liquor to be treated, and outside of which the steam or vapour circulates) evaporates nearly double the quantity of water per square foot of heating surface per hour which was evaporated by apparatus in use so recently as 1885 - and this without any increase in the steam pressure.

The portal is of 1154, and the Lombardesque square brick tower of 1160.

It is a square building with Ionic colonnades and a central dome, like an ancient temple, but curiously unlike a Roman villa.

The furnaces are square and open in front, to allow the outlet ends of the retorts to project; they are grouped together by fours; and their several chimneys are within the same enclosure.

When hydraulic pressure to the amount of 2000 to 3000 lb per square inch is applied, the saving is unquestioned, since less time is required to dry the pressed retort, its life in the furnaces is longer, its absorption of zinc is less, and the loss of zinc by passage through its walls in the form of vapour is reduced.

In Trafalgar Square stands the earliest monument erected to the memory of Nelson.

The town is enclosed by nearly square brick walls, flanked by massive round towers, dating from the time of the caliphs, but now falling into decay.

It was instituted in 1755 at the White Bear Inn (now St Bride's Tavern), Fleet Street, moved about 1850 to Discussion Hall, Shoe Lane, and in 1871 finally migrated to the Barley Mow Inn, Salisbury Square, E.C., its present quarters.

There are several small parks and squares, including Central Square, Beacon Square, about which the business portion of the township is centred, and Saltonstall Park, in which is a monument to the memory of Watertown's soldiers who died in the Civil War, and near which are the Town House and the Free Public Library, containing a valuable collection of 60,000 books and pamphlets and historical memorials.

The picturesque square keep of an ancient castle remains, but the present Buncrana Castle is a residence erected in 1717.

Hooke, contemporaries of Newton, saw that Kepler's third law implied a force tending toward the sun which, acting on the several planets, varied inversely as the square of the distance.

One was to show that the law of the inverse square not only represented Kepler's third law, but his first two laws also.

Newton's researches showed that the attraction of the earth on the moon was the same as that for bodies at the earth's surface, only reduced in the inverse square of the moon's distance from the earth's centre.

It is not yet experimentally proved that variation as the inverse square is absolutely true at all distances.

On the other hand the enigmatical motion of the perihelion of Mercury has not yet found any plausible explanation except on the hypothesis that the gravitation of the sun diminishes at a rate slightly greater than that of the inverse square - the most simple modification being to suppose that instead of the exponent of the distance being exactly - 2, it is - 2.000 000 161 2.

It is certain that, in the general average, year after year, the force with which Mercury is drawn toward the sun does vary from the exact inverse square of its distance from the sun.

There is therefore as yet no ground for regarding any deviation from the law of inverse square as more than a possibility.

Fearing that the little court of the Inca Tupac Amaru -(who had succeeded his brother Sayri Tupac) might become a focus of rebellion, he seized the young prince, and unjustly beheaded the last of the Incas in the square of Cuzco in the year 1571.

On this square stands the Frauenkirche, the cathedral church of the archbishop of Munich-Freising, with its lofty cupola capped towers dominating the whole town.

The column in the centre of the square was erected in 1638, to commemorate the defeat of the Protestants near Prague by the Bavarians during the Thirty Years' War.

Forward of the turret was the iron pilot house, square in shape, and rising about 4 ft.

Mounting his own pulpit in St Mark's he quietly related the events of the day to the faithful assembled in the church, and then withdrew to his cell, while the mob on the square outside was clamouring for his blood.

The thurible, the proper ecclesiastical term for the vessel in the Western Church, is usually spherical in form, though often square or polygonal, containing a small receptacle for the charcoal and covered by a perforated lid; it is carried and swung by three chains, a fourth being attached to the lid, thus allowing it to be raised at intervals for the volume of smoke to be increased.

The city has a fine public square and the Lane free library (1866); the court house is its most prominent public building.

A number of fine sculptures were found in the square in front of the cathedral in 1890, and architectural fragments belonging to some public building.

It lies on the Romerberg, a square flanked by curious medieval houses.

The population in 1905 was 242,432 (117,224 males and 125,208 females), or about 290 to the square mile.

Constructed by the Great Central Railway Co., the dock in 1921 comprised a square basin and two long arms (including a graving dock) running parallel to each other on the western side, of a total area of 45 ac., with 5,400 ft.

He was buried in the Swedish church in Princes Square, in the parish of St George's-in-theEast, and on the 7th of April 1908 his remains were removed at the request of the Swedish government to Stockholm.

The population of Styria in 1900 was 1,356,058, which is equivalent to 156 inhabitants per square mile.

They were built on a rectangular plan, with a large central square and straight thoroughfares running at right angles or parallel to one another, this uniformity of construction being well exemplified in the existing bastide of Monpazier (Dordogne) founded by the English in 1284.

It was not till 1860 that he settled in London, when he took up his quarters at 2 Orme Square, Bayswater, where he stayed till, in 1866, he moved to his celebrated house in Holland Park Road, with its Arab hall decorated with Damascus tiles.

The citadel is square with round towers at the angles; it dates from 1304, and is now used as a prison.

Coulomb proved that this mechanical force varies inversely as the square of the distance between the centres of the spheres.

The fact that there is no electric force in the interior of such a closed electrified shell is one of the most certainly ascertained facts in the science of electrostatics, and it enables us to demonstrate at once that particles of electricity attract and repel each other with a force which is inversely as the square of their distance.

The electric density on the sphere being uniform, the quantities of electricity on these areas are proportional to the areas, and if the electric force varies inversely as the square of the distance, the forces exerted by these two surface charges at the point in question are proportional to the solid angle of the little cone.

It is a fundamental theorem in attractions that a thin spherical shell of matter which attracts according to the potential law of the inverse square acts on all external points as of a if it were concentrated at its centre.

On the morning of the battle they formed a square, with the mounted troops (about 300) inside.

The chief open spaces are Market Square in the west and Government Square in the south of the town.

Chief Buildings, &c. - In the centre of Market Square are the market buildings, and at its east end the post and telegraph offices, a handsome block of buildings with a façade 200 ft.

The square itself, a quarter of a mile long, is the largest in South Africa.

The stock exchange is in Marshall Square.

The telephone exchange is in the centre of the city, in Von Brandis Square.

The law courts are in the centre of Government Square.

The Transvaal university college is in Plein Square, a little south of Park station.

In the wider compartments are placed sieves having sixteen holes to the square inch and bearing zinc turnings.

It was there broken into six square pieces, four of which were built into a tomb within the great church of Sant' Ambrogio.

At the lower end of the indentation is the modern public square, shaded by a gigantic and picturesque plane tree, nourished by the surplus water of Pirene.

As the visitor looks from the square up the indentation he sees on a height to the right a venerable temple ruin, and, directly in front, Acro-Corinth, rising over 1 50o ft.

The first object was the locating of the agora, or public square, first because Pausanias says that most of the important monuments of the city were either on or near the agora; and secondly because, beginning with the agora, he mentions, sometimes with a brief description, the principal monuments in order along three of the principal thoroughfares radiating from it.

Other principal public buildings, nearly all to be included in modern schemes of development, are the city hall, occupying the site of the old Linen Hall, in Donegall Square, estimated to cost £300,000; the commercial buildings (1820) in Waring Street, the customhouse and inland revenue office on Donegall Quay, the architect of which, as of the court house, was Sir Charles Lanyon, and some of the numerous banks, especially the Ulster Bank.

There is a Theatre Royal in Arthur Square.

The Grand Mosque, built out of ruins of the ancient Hippo, occupies one side of the chief square, the Place d'Armes.

As a Hebrew scholar he made a special study of the history of the Hebrew text, which led him to the conclusion that the vowel points and accents are not an original part of the Hebrew language, but were inserted by the Massorete Jews of Tiberias, not earlier than the 5th century A.D., and that the primitive Hebrew characters are those now known as the Samaritan, while the square characters are Aramaic and were substituted for the more ancient at the time of the captivity.

The tsien is a round disk of copper alloy, with a square hole punched through the centre for stringing.

Among the public buildings are a spacious town-hall in the central square, a club-house, an opera-house and a Greek theatre.

As we are still ignorant of the proportions of land and water in the polar regions, it is only possible to give approximate figures for the extent of the ocean, for the position of the coast-lines is not known exactly enough to exclude possible errors of perhaps several hundred thousand square miles in estimates of the total area.

Schott gives the following as the result of measurements of transparency by means of a white disk at 23 stations in the open ocean, where quantitative observations of the plankton under i square metre of surface were made at the same time.

The ash surface was staked off into square metres, and the substance carefully removed in order.

At one end of the chief square of the town, the Piazza Maggiore, is the cistern by which the town is supplied with water, and a large fountain.

He was licensed as preacher on the 3rd of February 1845, and on the 6th of August ordained as minister of Golden Square Church, Berwick-on-Tweed.

In Yorkshire hollow square pillars, formed by piling up short blocks of wood or chocks, are often used instead of props formed of a single stem.

As a substitute for timber props at the face, pieces of steel joists, with the web cut out for a short distance on either end, with the flanges turned back to give a square bearing surface, have been introduced.

The molars are partially selenodont in the typical genus Anthracotherium, with five cusps, or columns, on the crowns of those of the upper jaw, which are nearly square.

Continuing these experiments, they found that in acetylene gas under ordinary pressures the decomposition brought about in one portion of the gas, either by heat or the firing in it of a small detonator, did not spread far beyond the point at which the decomposition started, while if the acetylene was compressed to a pressure of more than 30 lb on the square inch, the decomposition travelled throughout the mass and became in reality detonation.

In 1839 the Congress of the Republic set apart fifty square leagues (221,420 acres) of land for the establishment of two universities.

The law of this force, for all distances greater than say the thousandth of an inch, is an attraction varying as the inverse square of the distance.

The church of St Mary is cruciform, with a low square tower, and is largely Early English, with some richly decorated windows in the chancel.

He proposed founding a new sect with the help of Franklin, who after leaving his shop ridiculed him for his long square beard and for keeping the seventh day.