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square

This area is ten square miles, though.

22786On the square in front of the Bazaar were drummers beating the muster call.

14664How many men are there to a square thousand miles in this country?

4536The square patch of light woke her.

2717The micrometer readings for coincidence of the movable webs with the webs of the fixed square shall be exactly 0 000R and io-000R.

2511square within which that image is included.

2115The micrometer is provided with a " fixed square " 5 mm.

2015She threw the egg at him and it landed square in the middle of his forehead.

1913Rule three: you will eat three square meals a day and sleep every night with me, because you couldn't take care of yourself if you tried.

1918I did so from a Times Square pay phone.

1820The crossing is surmounted by a dome, and the extremity of the north transept by a fine square tower over 160 ft.

177The 'holding cell' was a lavishly appointed 700 square foot room.

1712Now they were back to square one.

1516The outline turned to a bright square of light, and she followed him again.

139She 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.

126Kyaukse 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.

115SPENCER PERCEVAL (1762-1812), prime minister of England from 1809 to 1812, second son of John, 2nd earl of Egmont, was born in Audley Square, London, on the 1st of November 1762.

105The trunk was one of five that circled them, all large square affairs—foot lockers for summer camp.

98A 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.

84She stared at him, digesting the idea that they were back to square one.

88Pushing himself away from the book that would reveal nothing he sought, he went to the small, square window overlooking the stone structure of the Sanctuary.

89"That's eight hundred square kilometers," Brady said.

89While the troops, dividing into two parts when passing around the Kremlin, were thronging the Moskva and the Stone bridges, a great many soldiers, taking advantage of the stoppage and congestion, turned back from the bridges and slipped stealthily and silently past the church of Vasili the Beatified and under the Borovitski gate, back up the hill to the Red Square where some instinct told them they could easily take things not belonging to them.

89She opened her eyes slowly, surprised to see she'd hit the man square in the back of the head.

79I lived, up to the time of the illness that deprived me of my sight and hearing, in a tiny house consisting of a large square room and a small one, in which the servant slept.

65Although planned in the shape of a cross, with a square and tower in the middle, the arms of the cross are not straight, the constructor holding the ingenious opinion that, in order to prevent little towns from being taken in at a glance, their streets should be crooked.

54"I have found out everything, your excellency: the Rostovs are staying at the merchant Bronnikov's house, in the Square not far from here, right above the Volga," said the courier.

54They advanced the few hundred paces that separated the bridge from the Kaluga road, taking more than an hour to do so, and came out upon the square where the streets of the Transmoskva ward and the Kaluga road converge, and the prisoners jammed close together had to stand for some hours at that crossway.

55Her gaze took in his masculine chin, the square cut lower lip and the piercing blue eyes - only right now they weren't piercing.

56As his square toed western boots clicked across the floor, a large belt buckle traced the graceful swing of his stride.

56His rain coat flipped in the breeze, exposing rippling muscles in his thighs as the square toed boots sought and found solid footholds in the wet rock.

56He'll explain... voices in the rear of the crowd were suddenly heard saying, and the general attention turned to the police superintendent's trap which drove into the square attended by two mounted dragoons.

57There was a fender bender in the town square that delayed me but I wasted little time racing up the Surry road.

45The first light of day filtered in through the small square window above her bed.

45Out of the windows of the Senate House the soldiers threw chairs into the Square for fuel and kindled fires there.

45at her square in the face.

46At the entrance to the Arbat Square an immense expanse of dark starry sky presented itself to his eyes.

48They are strengthened by numerous square towers.

32On the fourth morning, the high priest, by rubbing dry wood together, produces new fire in the public square, from whence every habitation in the town is supplied with the new and pure flame.

32The double webs composing the sides of the fixed square shall be strictly parallel, and shall form a true square of exactly ten revolutions of the screw on the side.

33Finally, sitting by the statue in Duffy Square, I made the phone call.

34Brady held up his palm and drew a square around it.

34By the time he left the office for the ten-minute walk across the square to the courthouse, he felt comfortable with the progress of the case.

34His square toed boots clicked across the floor with that quick step she had learned to recognize.

34Distressed by the damage, he jogged to the central square, where smaller obelisks marking lesser immortal Houses rose out of the ground.

34"Sure, we're both workaholics and we're both square," she said, forming a square in the air with her index fingers.

35She tugged the heavy door open by its old iron handle and gazed into a large square of grass, a courtyard, around which many similar rooms with heavy doors were arranged.

35These letters are of simple, square, angular design.

35It would be better if there were but one inhabitant to a square mile, as where I live.

21The 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.

22These at first encircled the whole border; but soon it became customary to substitute for them square patches of embroidery or precious fabrics.

22The image of a normal reseau-square, as viewed in the microscope, shall exactly coincide with the square formed by the fixed webs - that is to say, the image of the sides of a normal reseau-square shall measure exactly io screw-revolutions.

22By 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.

22The houses of this city had many corners, being square and six-sided and eight-sided.

22It was made of two white pine logs dug out and pinned together, and was cut off square at the ends.

22You can say it --Kris won't let me forget I'm a square in a round hole.

23It had the combined square footage of every apartment she.d ever rented.

23On the Arbat Square the troyka caught against a carriage; something cracked, shouts were heard, and the troyka flew along the Arbat Street.

24They agreed to this plan, and when they reached the great square Jim drew the buggy into the big door of the domed hall.

11I was greatly amused at the idea of your writing the square hand.

11There may be thirty or forty of them to a square inch.

11It can't be an attack, for they are not moving; it can't be a square--for they are not drawn up for that.

11His hearers expected a story of how beside himself and all aflame with excitement, he had flown like a storm at the square, cut his way in, slashed right and left, how his saber had tasted flesh and he had fallen exhausted, and so on.

11Now and then his attention wandered from the book and the Square and he formed in imagination a new plan of life.

11The Emperor rode to the square where, facing one another, a battalion of the Preobrazhensk regiment stood on the right and a battalion of the French Guards in their bearskin caps on the left.

11My benefactor then explained to me fully the meaning of the Great Square of creation and pointed out to me that the numbers three and seven are the basis of everything.

11Thoughts of home grew stronger the nearer he approached it--far stronger, as though this feeling of his was subject to the law by which the force of attraction is in inverse proportion to the square of the distance.

11If you'll allow me to leave my Natasha in your hands for a quarter of an hour, Princess, I'll drive round to see Anna Semenovna, it's quite near in the Dogs' Square, and then I'll come back for her.

11The possibility of escape was nil so secure was our twelve foot square cell.

12The healers. village consisted of several dozen cottages around a central square, in which many of the village.s people gathered and talked or cooked meals over red flames.

12She crossed to the boxes she had stacked in the corner and covered with a square of cloth.

12Even in the days before my teacher came, I used to feel along the square stiff boxwood hedges, and, guided by the sense of smell would find the first violets and lilies.

12There were people not only in the square, but everywhere--on the slopes and on the roofs.

12When the carriages had all passed in, the crowd, carrying Petya with it, streamed forward into the Kremlin Square which was already full of people.

13As soon as Petya found himself in the square he clearly heard the sound of bells and the joyous voices of the crowd that filled the whole Kremlin.

13On all these faces, as on the faces of the crowd Petya had seen in the Square, there was a striking contradiction: the general expectation of a solemn event, and at the same time the everyday interests in a boston card party, Peter the cook, Zinaida Dmitrievna's health, and so on.

14Keene was once called The Elm City before Dutch elm disease destroyed the massive trees that surrounded the grassy area at the head of the square.

00Rainy, can your Natural trace anything at all within the square?

00Look, I'm here fair and square.

00But DeLeo said you won it fair and square.

00The old courthouse was a massive structure dominating the town square.

00Now, tell me what's going on or so help me God I'll dump your ass right here in the middle of the square!

00stands in the Cathedral square.

00Among the old houses one, dating from the 16th century, was the birthplace of Blaise Pascal, whose statue stands in a neighbouring square.

00square.

00long gilded spear, crossed at the top by a bar from which hung a square purple cloth, richly jewelled.

00square surrounded by colonnades, in which were placed the offices of the various collegia or guilds of boatmen, raftmen and others, which had a special importance at Ostia; the names of the guilds may still be read in inscriptions in the mosaic pavements of the chambers.

00square forms an ideal green.

00The size of the city was diminished by the retrenchment of nearly one-third at the northern end, which brought the enceinte more nearly to a square form.

00In 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.

00With 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.

00the figures as written down are 12510 6255 14595 1534560 Napier's rods or bones consist of ten oblong pieces of wood or other material with square ends.

00In Washington Square there is a Soldiers' and Sailors' Monument, 93 ft.

00In the centre of the city the Via Aemilia widens out into the Piazza Garibaldi, a large square which contains the Palazzo del Governo and the Palazzo Municipale, both dating from 1627.

00Its site is now occupied by an open square, one stone remaining to mark the spot where Henry II.

00The upset (reserve) price was go sterling per square league of 6669 acres, and, as the lands were quickly sold, an expansion of the pastoral industry immediately ensued.

00Infuriated, they seized and flung Matvyeev into the square below, where he was hacked to pieces by their comrades.

00wing table gives the area in square miles of each of the eighty-seven :s with its population according to the census returns of 1886, 1896

00The principal square is the Plaza de Bolivar, the conventional centre of the city, in which stands a bronze equestrian statue of Bolivar, and on which face the cathedral, archbishop's residence, Casa Amarilla, national library, general post office and other public offices.

00Among the public edifices are the capitol, which occupies a whole square, the university, of nearly equal size, the cathedral, pantheon, masonic temple (built by the state in the spendthrift days of Guzman Blanco), national library, opera-house, and a number of large churches.

00The molar-like teeth slightly diminishing in size from the first to the fourth, with square crowns, each bearing four pyramidal cusps.

00The following table shows the area of the rainfall zones in square miles: - The tropic of Capricorn divides Australia into two parts.

00Rough sculptures, too, were found, and two large square mounds formed of loose stones, and yet perfect parallelograms in outline, placed due east and west.

00Each tribe occupied a recognized territory, averaging perhaps a dozen square miles, and used a common dialect.

00long., an extent of half a million square miles, still remained a blank in the map. But the two expeditions of 1873, conducted by William Christie Gosse (1842-1881), afterwards deputy surveyorgeneral for South Australia, and Colonel (then Major) Egerton Warburton, made a beginning in the exploration of this terra incognita west of the central telegraph route.

00A square tower rises from a central part of the platform to a height of about 40 ft., divided into a solid masonry base and three storeys connected by interior stairways.

00The temples on the east side of the Otolum are distinguished by tall narrow vaults, perforated by numerous square openings giving the appearance of coarse lattice work.

00The church of St Quentin in the same square as the belfry is almost as ancient as NotreDame, and the people of Tournai call it the "little cathedral."

00It contains the panelling of a room from the house of Edmund Hector, which formerly stood in Old Square, Birmingham, where Dr Samuel Johnson was a frequent visitor.

00At the southern end of the boulevard de la Republique is the square de la Republique, formerly the place Bresson, in which is the municipal theatre; at the other extremity of the boulevard is the place du Gouvernement, which is planted on three sides with a double row of plane trees and is the fashionable resort for evening promenade.

00A large part of the modern town lies south of the square de la Republique; in this quarter are the law courts, hotel de ville, post office and other public buildings.

00The houses, built of stone and whitewashed, are square, substantial, flat-topped buildings, presenting to the street bare walls, with a few slits protected by iron gratings in place of windows.

00The interior of the mosque is square and is divided into aisles by columns joined by Moorish arches.

00Sofia, a circular edifice of about 760, now modernized, the roof of which is supported by six ancient columns, is a relic of the Lombard period; it has a fine cloister of the 12th century constructed in part of fragments of earlier buildings; while the cathedral with its fine arcaded facade and incomplete square campanile (begun in 1279) dates from the 9th century and was rebuilt in 1114.

00against those to whom you can object little but that they square not with you in every opinion concerning matters of religion."He had patronized Lilburne and welcomed all into his regiment, and the Independents had spread from his troops throughout the whole army.

00According to various legends Cromwell's last burial place is stated to be Westminster Abbey, Naseby Field or Newburgh Abbey; but there appears to be no evidence to support them, or to create any reasonable doubt that the great Protector's dust lies now where it was buried, in the neighbourhood of the present Connaught Square.

00by 84 ft., has a square tower and circular domed towers at the corners.

00Berhampur was fixed upon after the battle of Plassey as the site of the chief military station for Bengal; and a huge square of brick barracks was erected in 1767, at a cost of 30o,000.

00from the main building are the substructions of a smaller edifice, consisting of a series of rooms ranged round a square court, so that there are seven to each side besides a larger apartment at each corner.

00ft., are round or square, and for these sizes, and shapes, and of course for a flat surface, the relation P = .003 is fairly correct.

00The subjection of the core to a hydraulic pressure of four tons to the square inch and an electric pressure of 5000 volts from an alternating-current transformer has been adopted, by one manufacturer at least, to secure the detection of masked faults which might develop themselves after submergence.

00In 1885 Preece and Heaviside proved by experiments made at Newcastle that if two completely insulated circuits of square form, each side being 440 yds., were placed a quarter of a mile apart, telephonic speech was conveyed from one to the other by induction, and signals could be perceived even when they were separated by 1000 yds.

00The thermal G G detectors are especially useful for the purpose of quantitative measurements, because they indicate the true effective or square root of mean square value of the current or train of oscillations passing through the hot wire.

00It is occupied by the branches and offshoots of the mountain ranges which separate it from the great plain to the north, and send down their lateral ridges close to the water's edge, leaving only in places a few square miles of level plains at the mouths of the rivers and openings of the valleys.

00On the 23rd of February 1820, at a time of great distress and during the unrest caused by the death of George III., the cabinet ministers had arranged to dine at the earl of Harrowby's house in Grosvenor Square.

00cylindrical or tapering from The numbers in square brackets [] refer to the bibliography at the end of this article; but when the number is preceded by the word Hydrozoa, it refers to the bibliography at the end of the articl Hydrozoa.

00The 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.

00In the centre of the city stands the unfinished Belfry (Beffroi), a square tower some 300 ft.

00To the north of the Oudeburg, on the other side of the Lys, is the Marche du Vendredi, the principal square of the city.

00At a corner of the square is a remarkable cannon, known as Dulle Griete (Mad Meg), 19 ft.

00Its 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.

00The 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.

00chantry for priests, and in 1351 Ralph de Stratford built for John's chantry priests "a house of square stone," which came to be known as the college, and in connexion with which the church became collegiate.

00The leaves of most mosses are flat plates, each consisting of a single layer of square or oblong assimilating (chlorophyllous) cells.

00Hemsley 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.

00One 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.

00The principal building is the state capitol (completed in 1857) in a square of ten acres at the intersection of High and Broad streets.

00The 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.

00There 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.

00The 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.

00In Monument Square, the site of a battery in 1775 is a soldiers' and sailors' monument (1889), a tall granite pedestal surmounted by a bronze female figure, by Franklin Simmons; at the corner of State Street is a statue of Henry W.

00The 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.

00In each of the sides was a gigantic archway, the wall being raised in a square from above the entrance.

00The height to the top of this square wall must have been 90 or 100 ft.

00square, of the "Triumph of Caesar " - which he had probably begun before his leaving for Rome, and which are now in Hampton Court.

00The church of St Michael has a Norman square embattled tower surmounted by a spire, and an apsidal chancel.

00application being the same as in "rod"; as a measure of area, a rod= a square pole or perch, 304 square yds.

00= 2724 square ft., 160 rods= I acre.

00In the central square stands one of the finest belfries of northern France, a square structure surmounted by a wooden campanile, dating from the 14th century.

00The holes are so placed that the log-ship will hang square from the span thus formed.

00The molten sulphur accumulates on the sole, whence it is from time to time run out into a square stone receptacle, from which it is ladled into damp poplar-wood moulds and so brought into the shape of truncated cones weighing 110 to 130 lb each.

00The state capitol stands in a square 8 acres in extent, and has a central tower and dome 240 ft.

00The 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.

00The 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.

00the increase of terri tory in Central Asia is calculated by Russian authorities at 4 2 9, 8 95 square kilometres.

00square by io in.

00ft., or 114 gals., of water an hour, and the steam pressure was 50 lb per square inch.

00Let 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.

00Also let l be the length of the stroke in feet and let a be the area of one cylinder in square inches, then, assuming two cylinders of equal size, I.H.P. =2 planl550 (8) The I.H.P. at any instant is equal to the total rate at which energy is required to overcome the tractive resistance R.

00- The maximum power which can be developed by a locomotive depends upon the maximum rate of fuel combustion which can be maintained per square foot of grate.

00The 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.

00A 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.

00and burning too lb of coal per square foot of grate per hour would Table Xx require that 60,000 ib of air should be drawn through the furnace per hour in order to burn the coal.

00Let the boiler pressure be 175 lb per square inch.

00Taking 85% of this, the maximum mean effective pressure would be 149 lb per square inch.

00The engine can only exert this large tractive force so long as the mean pressure is maintained at 149 lb per square inch.

00This 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.

00If 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.

00per pound, the maximum indicated horse-power is given by the expression I.H.P. maximum - CcA X778 1980000 where A is the area of the grate in square feet, and is the combined efficiency of the engine and boiler.

00ft., that the rate of combustion is 150 lb of coal per square foot of grate per hour, that the calorific value is 14000, and finally that n =0.06, the maximum indicated horse-power which the engine might be expected to develop would be o 06 X 150 x14000 X24 X 778/1980000 = I 190, corresponding to a mean effective pressure in the cylinders of 59.5 lb per square inch.

0021 shows the pressure-volume diagram of the Rankine cycle for one pound of steam where the initial pressure is 175 lb per square inch by the 19t, gauge, equivalent to 190 lb per square inch absolute.

00With the initial pressure of 190 11; per square inch absolute it will be found from a steam table that T =838° absolute.

00When 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.

0022 represents the thermal efficiency actually obtained in one of Adams and Pettigrew's experiments, namely, 0-I I, the pressure in the steam-pipe being 167 lb per square inch.

00In 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.

00The sides of the square are 6 in., and the centres AA are taken at 2 in.

00from the top and bottom of the square.

00The rose gardens cover several square miles.

00In 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.

00In the square is a statue of Peace, erected in commemoration of the peace of Campo Formio (1796), which lies 5 m.

00The 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.

00in height, but lacking the upper storeys, and a Franciscan friary (1490); while a circular tower, and a square keep (occupied as barracks), mark strongholds, the one built by King John and the other by the Ormondes, and testify to the former importance of the town, which was doubtless accentuated by its physical position in a passway between the neighbouring mountain ranges.

00There 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.

00Agata, also circular, probably belong also to the 9th century, while the two square campanili of S.

00It would take 20 tons of coal a day burned on each square foot of the sun's surface to supply the daily radiation.

00According 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.

00The palace itself approximately formed a square with a large paved court in the centre.

00of this, a royal tomb consisting of a square chamber, which originally had a pointed vault of " Cyclopaean " structure approached by a forehall or rock-cut passage.

00Among 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' ?

00The colonies of Aphaenogaster occupy nests extending over an area of fifty to a hundred square yards several feet below the surface of the ground.

00The 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.

00To the west lie the fine square, with public gardens, still called, from its original character, Lincoln's Inn Fields.

00In 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.

00m., and the population in 1905 was 1,684,125, showing a density of 145 inhabitants to the square mile.

00But 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.

00To find three numbers such that the product of any two added to the sum of those two gives a square (III.

00Tannery); 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.

0029); To find three squares such that their continued product added to any one of them gives a square (V.

00He has only one symbol (written somewhat like a final sigma) for an unknown quantity, which he calls apc0µ6s (defined as "an undefined number of units"); the symbol may be a contraction of the initial letters ap, as A Y, K Y, D Y O, &c., are for the powers of the unknown (Suvaµcs, square; icu(30s, cube; Svva,uo& va i ccs, fourth power, &c.).

00In 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.

00no 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.

00Emboldened 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.

00The State Capitol Square (to acres) is not owned by the city.

00Richmond 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.

00In Capitol Square are also a marble statue of Henry Clay, by Joel T.

00grouped mainly round President Square.

001848) stands in the principal square, and a monument to President Carnot was erected in 1895.

00But 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.

00Mercuriale stands in the principal square, and contains, besides paintings, some good carved and inlaid choir stalls by Alessandro dei Bigni.

00in height, square and built of brickwork, and is one of the finest of Lombard campanili.

00To 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.'

00Between 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.

00The Square chapel, erected by the Congregationalists in 18J7, is a striking cruciform building with a tower and elaborate crocketed spire.

00The 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.

00The 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.

00- Square of St Mark and surrounding buildings.

00The 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.

00Lastly, the square was extended southwards in the 16th century, when the new palace of the procurators, K, was built by Scamozzi.

00Geminiano and built a new block at the west end of the square, L.

00It 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.

00Above 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.

00At 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.

00East of the Rocky Mountains (Washington, 1891), and his Report on the Mound Explorations of the Bureau of Ethnology in the 12th Report (1894) of that Bureau, supplementing his earlier bulletins, Problem of the Ohio Mounds and the Circular, Square and Octagonal Earthworks of Ohio (1889); and W.

00Copley Square, in the Back Bay, is finely disti guished by a group of exceptional buildings: Trinity church, th old Museum of Fine Arts, the public library and the new Old South church.

00square at the base, 25 ft.

00square above the basement; it contains six stories and places for 480 bodies.

00The 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.

00The 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.

00Next year he was ordained to the curacy of St Mary's, Bryanston Square, and took priest's orders in 1868.

00The bales are usually square, but cylindrical bales are becoming more common, though their cost is greater.

00Owing to complaints of the careless packing of American cotton, attention has been devoted of late to the improvement of the square bale.

00It 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.

00about 51 persons to the square mile.

00The 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.

00In 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.

00Since 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.

00Each 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.

00This consisted of eighty square pillars, 7 ft.

00By 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.

00We 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.

00square erections, like a shrine or small temple, surmounted by a canopy called from its shape a T.

00square and 5 ft.

00The 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.

00Excavations 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.

00Besides 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.

00This 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.

00The 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.

00The central square court, of moderate dimensions, with halls and great recesses, is followed in other examples in Cairo, among which the Tomb Mosque of Kait-Bey (c. A.D.

00This tetrahedral configuration is based on the existence of only one methylene dichloride, two being necessary if the carbon valencies were directed from the centre of a plane square to its corners, and on the existence of two optical isomers of the formula C. A.

00A bipartient factor is a number whose square exactly divides another number.

00The scale of that map, as determined by the equator or centre meridian, we will suppose to be i: 125,000,000, while the encircling meridian indicates a scale of i: 80,000,000; and a " mean " scale, equal to the square root of the proportion which the area of the map bears to the actual area of a hemisphere, is r: 112,000,000.

0018 metres, occupied Leicester Square until swept away as a nuisance.

00In 1906, however, no fewer than 1956 dogs were entered at the show of the Westminster Kennel Club, held in Madison Square.

00The 17th-century spire was removed in 1707, and replaced by a square tower, which was rebuilt in 1797; the chancel was rebuilt in 1869.

00The cathedral church of St Mary dates from 1190-1225, but has been much altered in later times: it has a great square tower at the west end and two graceful octagonal towers at the east, and contains numerous memorials of the 17th century.

00The 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.

00The square is faced with handsome buildings mainly in the Italian style.

00A number of short streets lead from the square to the eastern harbour.

00From the south end of the square the rue Sherif Pasha - in which are the principal shops - and the rue Tewfik Pasha lead to the boulevard, or rue, de Rosette, a long straight road with a general E.

00In 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.

00The end of this abutted on the land at the head of the present Grand Square, where rose the "Moon Gate."

00Lichens 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.

00square, usually rectangular, though sometimes, circular or FIG.

00If a family vault was required, or a burial chapel for a martyr or person of distinction, a small square room was excavated by the side of the gallery and communicating with it.

00The 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.

00(From Dennis.) occasionally forming " a spacious square or piazza surrounded by tombs instead of houses " (Dennis, Cities and Cemeteries of Etruria, ii.

00It is a square tower built over a circular, probably Norman, arch, and has embattled corner turrets.

00The 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.

00The 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.

00The fixed rent is pp piastres per jerib (about 10,000 square metres), to he paid whether the mine is worked or not.

00The 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.

00By 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.

00Kutusov 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.

00The 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.

00The 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.

00The 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.

00They 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.

00- To find a square number remaining so after the addition of 5.

00- To find a square number which remains a square after the addition and subtraction of 5, put to our mathematician in presence of the emperor by John of Palermo, who, perhaps, was quite enough Leonardo's friend to set him such problems only as he had himself asked for.

00Arabian authors already had found three square numbers of equal difference, but the difference itself had not been assigned in proposing the question.

00Leonardo, making use of fractions of the sexagesimal scale, gives X = I° 221 7 42" i 33 iv 4v 40 vi, after having demonstrated, by a discussion founded on the 10th book of Euclid, that a solution by square roots is impossible.

00of the river is the Public Square, or Monumental Park, in the business centre of the city.

00In 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.

00The 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.

00The 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.

00square at the mouth of the St Croix River and another containing about 100,000 acres at the confluence of the Minnesota and Mississippi rivers.

00This is really the case, for all observations show that the Antarctic and Arctic ice-bound seas are enormously rich in diatom life when compared with temperate and tropical regions: the great Antarctic zone of sea-bottom deposit, in which the skeletons of diatoms predominate, covers some ten millions of square miles.

00The progress of the "higher criticism," and the gradual surrender of attempts to square scientific facts with a literal interpretation of the Bible, are indicated in the shorter account given in the eighth edition, which concludes as follows: - "the insuperable difficulties connected with the belief that all the existing species of animals were provided for in the ark, are obviated by adopting the suggestion of Bishop Stillingfleet, approved by Matthew Poole, Pye Smith, le Clerc, Rossenmiiller and others, that the deluge did not extend beyond the region of the earth then inhabited, and that only the animals of that region were preserved in the ark."

00During the rains the Brahmaputra floods hundreds of square miles of country, reaching a height of 30 to 40 ft.

00(I) The bulk of the solution is unaltered, except that its temperature may be raised owing to the usual heating effect which is proportional to the square of the strength of the current.

00Let 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.

00The 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.

00Van '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.

00An 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.

00The western gable with its flamboyant window and Gothic door and the massive square tower are all that is left of the original edifice.

00m.) and the innumerable smaller lakes which surround it being but relatively insignificant remains of the former lacustrine basins; while at the confluence of the Irtysh and the Ob impassable marshes stretch over many thousands of square miles.

00'Subgenera are indicated by round, synonyms by square brackets.

00The 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.

00In 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.

00It 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.

00When a skew symmetric determinant is of even degree it is a perfect square.

00In the case of the determinant of order 4 the square root is Al2A34 - A 13 A 24 +A14A23.

00The discriminant of the product of two forms is equal to the product of their discriminants multiplied by the square of their resultant.

00It should be noticed that the real function denoted by (ab) 2 is not the square of a real function denoted by (ab).

00The 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.

00d x the first evectant; and thence 4cxdi the second evectant; in fact the two evectants are to numerical factors pres, the cubic covariant Q, and the square of the original cubic.

00In this case (f, ï¿½) 1 is a perfect square, since its discriminant vanishes.

00If (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.

00The discriminant of f is equal to the discriminant of 0, and is therefore (0, 0') 2 = R; if it vanishes both f and 0 have two roots equal, 0 is a rational factor of f and Q is a perfect cube; the cube root being equal, to a numerical factor pres, to the square root of A.

00=y la xl -i-y2a x2 must also vanish for the root a, and thence ax, and a must also vanish for the same root; which proves that a is a double root of f, and f therefore a perfect square.

00of 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.

00In 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.

00They consist of a square citadel (Bairam Ali Khan kalah), s z m.

00Coulomb, 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.

00When the compass is far from the magnet, the vibrations will be comparatively slow; when it is near a pole, they will be exceedingly rapid, the frequency of the vibrations varying as the square root of the magnetic force at the spot.

00In 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.

00Hence 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.

00The 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.

00Where the induction is high the lines will be crowded together; where it is weak they will be widely separated, the number per square centimetre crossing a normal surface at any point being always equal to the numerical value of B.

00The induction may therefore be specified as B lines per square centimetre.

00The 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.

00If 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.

00The 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.

00F=27r12+HI expressed as dynes per square centimetre.

00In 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.

00He 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.

00The greatest weight supported in the experiments was 14,600 grammes per square cm., and the corresponding induction 18, Soo units.

00If the pull is measured in pounds and the area in square inches, the formula may be written B =1317 X iI P/S +H.

00But 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.

00in.," or 14,000 grms. per square centimetre, and a similar view prevailed among high authorities more than twenty years later.

00According 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.

00Even 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.

00The maximum susceptibility of one of his bars rose from 5.6 to 29 under a stress of 19.8 kilos per square mm.

00Ewing's independent experiments showed that the magnetization curve for a cobalt rod under a load of 16.2 kilogrammes per square mm.

00to the magnetized cobalt was proportional to the square of the magnetic induction or of the magnetization.

00Coulomb, 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.

00Several previous attempts had been made to discover the law of force, with various results, some of which correctly indicated the inverse square; in particular the German astronomer, J.

00The 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.

00Jerome's practice, however, did not square with his theory.

00The two leaning towers, the Torre Asinelli and the Torre Garisenda, dating from 1109 and 1110 respectively, are among the most remarkable structures in Bologna: they are square brick towers, the former being 320 ft.

00The 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.

00Remains 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.

00Large 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.

00The 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.

00The 4th duke planted several square miles of the estate with this tree, of which he had made a special study.

00Just 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.

00Other 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.

00high, surmounted by a colossal figure of Viscount Melville, Pitt's first lord of the Admiralty, rises from the centre of St Andrew Square.

00At 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.

00The medical school stands in Teviot Row, adjoining George Square and the Meadows.

00This 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.

00In 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.

00Bank 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.

00They 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").

00It is built round a square interior court surrounded by arcades, and is occupied by learned societies.

00It has a fine and well-preserved castle, built in 1490 by Gentile Virginio Orsini; it is square, with round towers at the angles.

00After 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.

00Population.-Hungary had in 1900 a population of 19,254,559, equivalent to 153.7 inhabitants per square mile.

00We 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.

00(iii.) By writing (A+a) 2 = A 2 + 2Aa+a 2 in the form (A+a)2= A 2 +(2A+a)a, we obtain the rule for extracting the square root in arithmetic.

00were the exact square of some number of the form co+c 1 /io+c 2 /io 2 +..

00The 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.

00The 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.

00In 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.

00The square root he denoted by (j), whereas Paciolus, Cardan and others used the letter R.

00high is situated in the middle of a square.

00It is thought to have been square, each side measuring some 210 ft., with towers and turrets.

00If 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.

00(1); and for the intensity, represented by the square of the amplitude, 1 2 [fJsin f +?2 fC? ?

00As 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.

00We 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.

00The intensity is then, as always, represented by the square of the length of the chord.

00The founder, Thomas Lord (1814), at first established a cricket ground in the present Dorset Square, but it was soon moved here.

00The Wallace Art Collection, Hertford House, Manchester Square, was bequeathed by Sir Richard Wallace to the nation on the death of his wife in 1897.

00Harley Street, between Marylebone Road and Cavendish Square, is noted as the residence of medical practitioners.

00Educational 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.

00The typical Egyptian obelisk is an upright monolith of nearly square section, generally to diameters in height, the sides slightly convex, tapering upwards very gradually and evenly, and terminated by a pyramidion whose faces are inclined at an angle of 60°.

00In 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.

0099 sqq.), in connexion with the tale of the invasion of Darius, makes of Scythia a kind of chessboard 4000 stades square on which the combatants can make their moves quite unhindered by the great rivers: the other (16-20), founded on what he learned from Greeks of Olbia and supplemented by the tales of the 7th century traveller Aristeas of Proconnesus, is not very far removed from first-hand information and can be made more or less to tally with the lie of the land.

00Arrived at the place of burial, the body was set in a square pit with spears marking out its sides and a roof of matting.

00To the west of the main shaft were three square pits with horses and their harness, and by them two pits with men's skeletons.

00m., and a population (1905) of 885,280, showing a density of 386.9 to the square mile.

00A large mantle could thus serve as a veil, and Rebekah covered her face with her square or oblong wrapper on meeting Isaac (Gen.

00In 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.

00It 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.

00The garment (which resembles the Doric irbirXos, but seems to have been rectangular rather than square) is folded over at the top, and the central part is drawn up towards the right shoulder to produce an elaborate system of zigzag folds (Greek Art, fig.

00But the garment usually worn by men of mature age was the iµaTCov, which was (like the rbrXos) a plain square of woollen stuff.

00Among 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).

00So 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.

00A statue of him was erected in the principal square in 1875.

00In 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.

00Government buildings on the south side of the square contain the chambers of the Provincial Council and other public offices.

00On the north side of the square are the law courts, on the west side the Post Office.

00The chief banking offices are also in the square.

00Running east and west from Church Square is Church Street, the chief business thoroughfare.

00A little east of Church Square this street opens on to Market Square, with commodious market buildings.

00It is square below, with an octagonal summit of a slightly later period.

00It possesses the rare feature of two western towers, the one square and embattled, the other octagonal and bearing a short spire.

00In 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.

00Some 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.

00The 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.

00Provision 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.

00The only other public buildings, beyond those at Westminster, which fall into a great group are the modern museums, the Imperial Institute, London University and other institutions, and Albert Hall, which lie between Kensington Gore and Brompton and Cromwell Roads, and these, together with the National Gallery (in Trafalgar Square) and other art galleries, and the principal scientific, educational and recreative institutions, are considered in Section V.

00The 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.

00In 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.

00Northumberland 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.

00A 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.

00Such 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.

00The Royal College of Veterinary Surgeons is in Red Lion Square, and the Royal Veterinary College at Camden Town.

00Music. - 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.

00The Royal Horticultural Society maintains gardens at Wisley, Surrey, and has an exhibition hall in Vincent Square, Westminster.

00Among permanent art collections the first place is taken by the National Gallery in Trafalgar Square.

00The 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.

00Among lending libraries should be noticed the London Library in St James's Square, Pall Mall.

00The principal music halls (variety theatres) are in Shaftesbury Avenue, Piccadilly Circus, Leicester Square and the Strand.

00The 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).

00(14) St George's Hanover Square.

00There 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.

00The 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.

00The great square or piazza of Covent Garden was formed from the designs of Inigo Jones about 1632.

00Bedford 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.

00Finsbury Square was the first public place in which gas lighting was actually adopted, and Grosvenor Square the last.

00In the principal square rises a Gothic column, 40 ft.

00Within a mile of Ulundi the British force, formed in a hollow square, was attacked by a Zulu army numbering 12,000 to 15,000.

00With 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.

00This resistance is equal to the square of the velocity of the current in feet per minute, Air.

00multiplied by the total rubbing or friction surface of the air-ways in square feet and by the coefficient of friction.

00A remarkable feature is the bare statement of a number of very close approximations to the square roots of numbers which are not complete squares.

00Others occur in the Metrica where also a method of finding such approximate square, and even approximate cube, roots is shown.

00The approximation to square roots in Hero has been the subject of papers too numerous to mention.

00The density of population per square mile is 44 as compared with 167 for the whole of India and S52 for the Bengal Delta.

00For 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.

00Owing to this property, tubes or canes can be produced with a square, oblong, oval or triangular section.

00Prior 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.

00From 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.

00The former was made, as described by Theophilus, from cylinders, which were split, reheated and flattened into square sheets.

00During 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.

00The 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.

00The building is one of three storeys each with ten pointed windows forming the facade facing the square.

00In the more general case of the convective equilibrium of a spherical atmosphere surrounding the earth, of radius a, (1-1?-=(n+ I) Po --a 2 dr, (12) gravity varying inversely as the square of the distance r from the centre; so that, k = po/po, denoting the height of the homogeneous atmosphere at the surface, 0 is given by (n+I)k(I -9/6 0) =a(I -a/r), (13) or if c denotes the distance where 0=o, 0 _a (14) 0 r c -a' When the compressibility of water is taken into account in a deep ocean, an experimental law must be employed, such as p - po=k(P - Po), or P/po=I+(p-p0)/A, A=kpo, (15) so that A is the pressure due to a head k of the liquid at density under atmospheric pressure po; and it is the gauge pressure required on this law to double the density.

00I +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.

00He sought refuge in a house in the Riddarhus Square, but the mob rushed after him, brutally maltreated him and tore his robes to pieces.

00This 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.

00Forgetful 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.

00But 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.

00long will be far more efficient per square foot of surface than a similar coil ioo ft.

00The portal is of 1154, and the Lombardesque square brick tower of 1160.

00It is a square building with Ionic colonnades and a central dome, like an ancient temple, but curiously unlike a Roman villa.

00square, with a thickness of nearly 4 in.

00of water per day per square foot of surface, the " water-table " being about 4 or 5 ft.

00square are then successively put into a jar and lighted.

00The 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.

00When 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.

00In Trafalgar Square stands the earliest monument erected to the memory of Nelson.

00The 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.

00It 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.

00There 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.

00The picturesque square keep of an ancient castle remains, but the present Buncrana Castle is a residence erected in 1717.

00gravis, heavy), in physical science, that mutual action between masses of matter by virtue of which every such mass tends toward every other with a force varying directly as the product of the masses and inversely as the square of their distances apart.

00Hooke, 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.

00One was to show that the law of the inverse square not only represented Kepler's third law, but his first two laws also.

00Newton'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.

00It is not yet experimentally proved that variation as the inverse square is absolutely true at all distances.

00On 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.

00It 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.

00There is therefore as yet no ground for regarding any deviation from the law of inverse square as more than a possibility.

00avoirdupois; the libra, 1.014 lb avoirdupois; the quintal, 101.44 lb avoirdupois; the arroba, 25.36 lb avoirdupois; ditto of wine, 6.70 imperial gallons; the gallon, 74 of an imperial gallon; the vara, 927 yard; and the square vara, 859 square yard.

00Fearing 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.

00to W., and in what was once the centre of the city is Centre Square, in which there is a monument to the memory of the soldiers and sailors who fell in the Civil War.

00On this square stands the Frauenkirche, the cathedral church of the archbishop of Munich-Freising, with its lofty cupola capped towers dominating the whole town.

00The 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.

00Forward of the turret was the iron pilot house, square in shape, and rising about 4 ft.

00high with a circular cupola topping a square building 90 ft.

00Mounting 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.

00The 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.

00The city has a fine public square and the Lane free library (1866); the court house is its most prominent public building.

00in circumference, with square towers at the angles, and a castle at the south-east corner.

00The roof, which is especially magnificent, is the finest example of a class which as a rule is only found in Venetia or in churches built by Venetian architects in Istria and other subject provinces: the framing is concealed by coving or barrel-vaulting in wood, the surface of which is divided into small square panels, all painted and gilt, giving a very rich effect.

00A number of fine sculptures were found in the square in front of the cathedral in 1890, and architectural fragments belonging to some public building.

00It lies on the Romerberg, a square flanked by curious medieval houses.

00coast in in square miles.

00150 2,405.06 I,82I~8l Length of Area Number, coast in in square miles.

00The population in 1905 was 242,432 (117,224 males and 125,208 females), or about 290 to the square mile.

00living in communities of less than 2000 inhabitants; while the density of the population is about 330 to the square mile.

00Lastly we have the white - Burchell's, or square-mouthedrhinoceros (Rhinoceros (Diceros) simus), the largest of the five, and differing from the other species in having a square truncated upper lip. In conformity with the structure of the mouth, this species lives entirely by browsing on grass, and is therefore more partial to open countries or districts where there are broad grassy valleys between the tracts of bush.

00Constructed 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.

00He 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.

00The population of Styria in 1900 was 1,356,058, which is equivalent to 156 inhabitants per square mile.

00They 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.

00It is in a fine situation, and has a 'massive square castle of the Umperiali family, to whom, with Oria, it was sold by S.

00It 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.

00the illuminations and bonfire at Lord Bolingbroke's house in Golden Square were "particularly fine and remarkable," 6 but he was immediately dismissed from office.

00The citadel is square with round towers at the angles; it dates from 1304, and is now used as a prison.

00Coulomb proved that this mechanical force varies inversely as the square of the distance between the centres of the spheres.

00The 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.

00- If particles of matter attract one another according to the law of the inverse square the attraction of all sections of a cone for a particle at the vertex is the same.

00The 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.

00

The word usage examples above have been gathered from various sources to reflect current and historial usage. They do not represent the opinions of YourDictionary.com.