A-line Sentence Examples

I may have crossed a line there.

She sat on the table in the exam room facing a line of backlit x-rays and cat scans on the wall.

Their faces were inches away, his fingers tracing a line of warm electricity down her jaw.

Katie moved quickly in the direction she indicated and found a line in front of the guestbook as Immortals wrote their names.

At her entrance, those in the nearest circle with Ne'Rin ceased their activity and bowed, then stood in a line and waited.

Dean dreamed of white-dressed hookers smiling and calling to a line of seven little miners who looked suspiciously like Snow White's benefactors.

You'd be anchored on a line tied to a top bollard, secured in a harness.

She wore an ivory A-line dress with shoes to match.

It was a line of business World Wide didn't sell.

If someone were trying to get a line on the whereabouts of Vinnie Baratto, they would all have to exercise more caution driving to the Pocono hide­out.

Nothing had been stolen and after yesterday's encounter with the blue Ford, all agreed they had a line on the prime suspects.

There wasn't going to be a line.

She joined a line of mostly men in front of a low stone table.

She drew a line in the sand around the portal.

Xander was enjoying his newfound status too much to sacrifice it now, especially when he had a line of women ready to please him.

He sat, and the store employees made an attempt to organize a line for the customers.

The Great Southern railway has a line to the seaward end of the pier, and affords direct communication with the interior of the colony.

The Mediterranean is all that remains of a great ocean which at an early geological epoch, before the formation of the Atlantic, encircled half the globe along a line of latitude.

Concessions have been obtained by the French government to build a line of railway from the Tongking frontier at the town of Laokay via Mengtsze to Yunnan-fu.

Communication between these two towns is maintained by a line of smaller boats, the distance being 517 m.

Farther south-east, a line of sand dunes, covering the ruins of ancient villas, marks the coastline of the Roman period.

North of that point a line of high cliffs, in which occur the ports of Fcamp and Dieppe, stretches nearly to the sandy estuary of the Somme.

It is grown largely in the departments of Nord and Pas-de-Calais and in those of the Seine basin, the southern limit of its cultivation being roughly a line drawn from Bordeaux to Lyons.

From Bordeaux there is also a direct line to Bayonne and Irun (for Madrid), and at the other end of the Pyrenees a line leads from Narbonne to Perpignan and Barcelona.

Railway connexion with the port of La Guaira was opened in 1883 by means of a line 23 m.

These run in wet seasons, but in every instance for a short distance only, and sooner or later they are lost in sand-hills, where their waters disappear and a line of stunted gum-trees (Eucalyptus rostrata) is all that is present to indicate that there may be even a soakage to mark the abandoned course.

The south-western angle of the continent, bounded by a line drawn diagonally from Jurien river to Cape Riche, has an average of from 30 to 40 in.

Dwarfed eucalypts fringe the tree-limit on Mount Kosciusco, and the soakages in the parched interior are indicated by a line of the same trees, stunted and straggling.

The northern frontier is a line drawn between the northernmost points of the eastern and western frontiers.

The most striking physical feature is the Aravalli range of mountains, which intersects the country almost from end to end in a line running from south-west to north-east.

Using these buoys to guide the direction of tow, a grapnel, a species of fivepronged anchor, attached to a strong compound rope formed of strands of steel and manila, is lowered to the bottom and dragged at a slow speed, as it were ploughing a furrow in the sea bottom, in a line at right angles to the cable route, until the behaviour of the dynamometer shows that the cable is hooked.

Thus the speed on a line at which the repeater is situated exactly midway will be four times that of the line worked direct.

The Atlantic Telegraph Company was reconstituted as the AngloAmerican Telegraph Company with a capital of f600,000 and sufficient cable was ordered not only to lay a line across the ocean but also to complete the 1865 cable.

If there be a line free, or when the turn of the call is reached, particulars of the connexion wanted are passed to the distant end, and the trunk operators request the local exchanges to connect the subscribers by means of junction I F..?

Narcondam, Barren Island and the Invisible Bank, a great danger of these seas, are in a line almost parallel to the Andamans inclining towards them from north to south.

Its eastern limit in Europe is a line from Konigsberg to the Caucasus; thence through China it is continued by varietal forms to Japan.

The existence of a good natural harbour is often sufficient to give origin to a town and to fix one end of a line of land communication.

Had he married the landless daughter of a neighbour he might have been the ancestor of a line of Essex squires, whose careers would have had the parish topographer for chronicler.

Owing to the increased friction produced by a rotator making approximately 900 revolutions per mile, towed at the end of a line varying from 40 fathoms for a 12 -knot FIG.

His younger daughter married a subaltern in a line regiment, belonging to the lesser nobility; as ennobled by marriage (according to the liberal rule of this particular court), she was duly "presented."

There is also a line belonging to a private company connecting Chillagoe with Mareeba.

The limits of the Russian Jurassic system may be represented by a line drawn from the double valley of the Sukhona and Vytchegda to that of the upper Volga, and thence to Kieff, with a wide gulf penetrating towards the N.W.

At the Pacific end of the Siberian railway a line connecting Vladivostok with Khabarovsk (479 m.) at the junction of the Amur and the Usuri, was first of all built, following the valley of the Usuri.

Another form of rail, distinguished as the edgerail, was first used on a line which was opened between Loughborough and Nanpantan in 1789.

Before that time the St Paul had been a great local railway, operating primarily in the Dakotas, Minnesota, Iowa, Wisconsin and Illinois; but by the construction of a long arm from the Missouri river to Spokane, Seattle and Tacoma, it became a transcontinental line of the first importance, avoiding the mistakes of earlier railway builders by securing a line with easy gradients through the most favourable regions.

At the same time that these two extensions were being undertaken by old and well-established railways, a new company-the Kansas City, Mexico && Orient-was engaged in constructing a line almost due south-west from Kansas City, Mo., to the lower part of the gulf of California in Mexico; while an additional independent line was under construction from Denver in a north-westerly direction towards the Pacific coast.

It would be practically impossible for a line thus used by different carriers to be operated either with safety, or with economy, or with the advantage to the public which a centralized management affords.

When, however, a company desires to construct a line on a commercial scale, to acquire land compulsorily, to divert rivers and streams, to cross roads either on the level or by means of bridges, to pass near houses, to build tunnels or viaducts, and to execute all the other works incidental to a.

When a line has once been inspected and passed, it lies with the company to maintain it in accordance with the standard of efficiency it originally possessed, but no express statutory obligation to do so is imposed upon the company, and whether it does so or not, the Board of Trade cannot interfere.

In the second place, except in the unlikely event of all the places on the selected route lying at the same elevation, a line that is perfectly level is a physical impossibility; and from engineering considerations, even one with uniform gradients will be impracticable on the score of cost, unless the surface of the country is extraordinarily even.

If, however, cost within reasonable limits is a secondary consideration and the intention is to build a line adapted for express trains and for the carriage of the largest volume of traffic with speed and economy, he will lean towards the second.

In cases where the route of a line runs across a river or other piece of water so wide that the construction of a bridge is either impossible or would be more costly than is warranted by the volume of traffic, the expedient is sometimes adopted of carrying the wagons and carriages across bodily with their loads on train ferries, so as to avoid the inconvenience and delay of transshipment.

The gradient or grade of a line is the rate at which it rises or falls, above or below the horizontal, and is expressed by stating either the horizontal distance in which the change of level amounts to r ft., or the amount of change that would occur in some selected distance, such as roo ft., r000 ft.

The earliest arrangement of this kind was patented by John Blenkinsop, of the Middleton Colliery, near Leeds, in 1811, and an engine built on his plan by Mathew Murray, also of Leeds, began in 1812 to haul coals from Middleton to Leeds over a line 32 m.

In general it is not curvature, but change of curvature, that presents difficulty in the laying-out of a line.

In the Langen mono-rail the cars are hung from a single overhead rail; a line on this system works between Barmen and Elberfeld, about 9 m., the cars for a portion of the distance being suspended over the river Wupper.

In the United States the danger of the stoves that used to be employed for heating the interiors of the cars has been realized, and now the most common method is by steam taken from the locomotive boiler and circulated through the train in a line of piping, rendered continuous between the cars by flexible coupling-hose.

Since high average speed on a line with frequent stops depends largely on rapidity of acceleration, the tendency in modern equipment is to secure as great an output of power as possible during the accelerating period, with corresponding increase in weight available for adhesion.

It should be mentioned that the act provided that the Treasury might advance a portion of the money required for a line in cases where the council of any county, borough or district had agreed to do the same, and might also make a special advance in aid of a light railway which was certified by the Board of Agriculture to be beneficial to agriculture in any cultivated district, or by the Board of Trade to furnish a means of communication between a fishing-harbour and a market in a district where it would not be constructed without special assistance from the s' ate.

It lies on the main line between Bologna and Milan, and is connected by branch lines with Guastalla and Sassuolo (hence a line to Modena).

It was separated from Lucania on the north by a line drawn from the mouth of the river Laus on the west to a point a little south of the river Crathis on the east.

A fine paved corridor running east from this gives access to a line of the later magazines, and through a columnar hall to the central court beyond, while to the left of this a broad and stately flight of steps leads up to a kind of entrance hall on an upper terrace.

The railways include the three lines of the United Railways of Yucatan (373 m.), and a line from Merida to Peto (145 m.).

They are placed on a line joining the north end of Sumatra and Cape Negrais, the south-western extremity of Burma.

The eastern flank of this tableland follows a line of hills drawn a short distance from the Indus, between the mouth of that river and the Himalaya, about on the 72nd meridian; these hills do not generally exceed 4000 or 5000 ft.

The whole group is traversed by a line of volcanic mountains, some of which are in activity, the highest point being about 13,000 ft.

Beyond this point the Anglo-Russian Commission of 1895 demarcated a line to the snowfields and glaciers which overlook the Chinese border.

He defeated the Chatti, annexed the district of the Taunus, and established the Limes as a line of defence; but he suffered defeats at the hands of the Quadi, Sarmatae and ' Marcomanni; in Dacia he received a severe check, and was obliged to purchase peace (90) from Decebalus by the payment of a large sum of money and by guaranteeing a yearly tribute - the first instance in Roman history.

The ciliated band of the left side of the velar area is indicated by a line extending from v to v; the foot f is seen between the pharynx ph and the pedicle of invagination pi.

Indeed, in this as in the earlier styles, Venice struck out a line for herself and developed a style of her own, known as Lombardesque, after the family of the Lombardi (Solari) who came from Carona on the Lake of Lugano and may be said to have created it.

The district is traversed by a line of the Eastern Bengal railway, but most of the traffic is still conducted by water.

The city is built on a level, sandy plain, in the rear of which is a line of hills terminating in two spurs, East Rock and West Rock, respectively 360 and 400 ft.

In the southwest of Manchuria a line of the imperial railways of Northern China gives connexion from Peking, and branches at Kou-pang-tsze to Sin Population.

Along much of the western coast and along nearly the whole of the eastern coast extends a line of sand reefs and narrow islands, enclosing shallow and narrow bodies of water, such as Indian river and Lake Worth - called rivers, lakes, lagoons, bays and harbours.

In the middle ages Zutphen was the seat of a line of counts, which became extinct in the 12th century.

According to the Kachin Hill Tribes Regulation of 1895, administrative responsibility is accepted by the British government on the left bank of the Irrawaddy for the country south of the Nmaikha, and on the right bank for the country south of a line drawn from the confluence of the Malikha and Nmaikha through the northern limit of the Laban district and including the jade mines.

From Calgary to Edmonton northward runs a line under the control of the Canadian Pacific railway.

They believed that Cain derived his existence from the superior power, and Abel from the inferior power, and that in this respect he was the first of a line which included Esau, Korah, the Sodomites and Judas Iscariot.

From 968 to 1581 Meissen was the seat of a line of bishops, who ranked as princes of the empire.

After the first American occupation a private company built a line from Santa Clara to Santiago, more than half the length of the island, finally connecting its two ends (1902).

Towards Egypt the frontier is a line drawn from Akaba at the head of the Gulf of Akaba north-westwards to the little port of El Arish on the Mediterranean.

With these numbers it was impossible to attain the high degree of individual efficiency required for the old line tactics, hence they were compelled to adopt the French methods of skirmishers and columns, but as yet they had hardly realized the increased density necessary to be given to a line of battle to enable it to endure the prolonged nervous strain the new system of tactics entailed.

At present fragments of the walls exist here and there, with the great ditch about them, while elsewhere a line of mounds marks their course.

This is exactly the structure of the plum or apricot, and differs from that of the almond, which is identical in the first instance, only in the circumstance that the fleshy part of the latter eventually becomes dry and leathery and clacks open along a line called the suture.

The first railway to reach Siberia was built in 1878, when a line was constructed between Perm, at which point travellers for Siberia Railways.

The Midnapur-Jherria line of the Bengal-Nagpur railway passes through the district, and there is a line from Howrah to Bankura.

It will not in general move along a line of force, as would an isolated pole, but will follow the direction in which the magnetic force increases most rapidly, and in so doing it may cross the lines of force obliquely or even at right angles.

A line of force is a line drawn through a magnetic field in the direction of the force at each point through which it passes.

If r and r' make angles 0 and 0 with the axis, it is easily shown that the equation to a line of force is cos 0 - cos B'= constant.

The direction of magnetic induction may be indicated by lines of induction; a line of induction is always a closed curve, though it may possibly extend to and return from infinity.

Suppose the whole space in which induction exists to be divided up into unit tubes, such that the surface integral of the induction over any cross-section of a tube is equal to unity, and along the axis of each tube let a line of induction be drawn.

The sample, arranged as a bundle of rectangular strips, is caused to rotate about a central horizontal axis between the poles of an upright C-shaped magnet, which is supported near 'its middle upon knife-edges in such a manner that it can oscillate about an axis in a line with that about which the specimen rotates; the lower side of the magnet is weighted, to give it some stability.

Parts of this coastal plain, however, have an elevation of 100 to 200 ft., are rolling and fertile in character, and terminate on the coast in a line of bluffs.

On the 23rd of February 1906 the government completed a new contract with the Lloyd Brazileiro Company for its coastwise and river service, and included clauses providing for a line to the United States.

The personal element is conspicuous in the Brazilian journalism, and for a considerable period of its history libellous attacks on persons, signed by professional sponsors, popularly called testas de ferro (iron heads), were admitted at so much a line in the best newspapers.

The Tugela basin drains the whole country north of a line drawn in a direct line east from Giant's Castle.

In July the Natal ministry J Y Y learnt that it was not the intention of the Imperial government to endeavour to hold the frontier in case hostilities arose, but that a line of defence considerably south of the frontier would be taken up. This led to a request on their part that if the Imperial government had any reason to anticipate the breakdown of negotiations, " such steps may be at once taken as may be necessary for the effectual defence of the whole colony."

It was proposed to include in Natal such portions of the Harrismith and Vrede districts as were comprised by a line following the Elands river north from its source on the Basutoland border to its junction with the Wilge river, and thence drawn straight to the point where the boundaries of Natal, the Transvaal and the Orange River Colony meet on the Drakensberg.

A railway to the Zululand coalfields was completed in 1903, and in the same year a line The attitude of the natives both in Natal proper and in Zululand caused much disquiet.

Johnston, established a line of defence west of the town.

The upper boundary of this figure will be a line of some sort; it is this line, rather than the figure, that is sometimes called the " graph."

Taking any number n to be represented by a point on a line at distance nL from a fixed point 0, where L is a unit of length, we start with a series of points representing the integers I, 2, 3,.

Complex numbers are conveniently treated in connexion not only with the theory of equations but also with analytical trigonometry, which suggests the graphic representation of a+b,l - by a line of length (a 2 +b 2)i drawn in a direction different from that of the line along which real numbers are represented.

On the west, Badakshan is bounded by a line which crosses the Turkestan plains southwards from the junction of the Kunduz and Oxus rivers till it touches the eastern waterdivide of the Tashkurghan river (here called the Koh-i-Chungar), and then runs south-east, crossing the Sarkhab affluent of the Khanabad (Kunduz), till it strikes the Hindu Kush.

The part corresponding to negative values of u is similar, OA being a line of symmetry.

If the angle subtended by the components of a double line be twice that subtended by the wave-length at a distance equal to the horizontal aperture, the central bands are just clear of one another, and there is a line of absolute blackness in the middle of the combined images.

In the present application 4' is not necessarily equal to; but if P correspond to a line upon the grating, the difference of retardations for consecutive positions of P, so far as expressed by the term of the first order, will be equal to mX (m integral), and therefore without influence, provided v (sin 0-sin0') = nzX (11), where a denotes the constant interval between the planes containing the lines.

When, in order to apply Huygens's principle, the wave is supposed to be broken up, the phase is the same at every element of the surface of resolution which lies upon a line perpendicular to the plane of reference, and thus the effect of the whole line, or rather infinitesimal strip, is related in a constant manner to that of the element which lies O in the plane of reference, and may be considered to be represented thereby.

Expressions suitable for discussion when v is large were obtained 1 In experiment a line of light is sometimes substituted for a point in order to increase the illumination.

In places, as between Mafeking and Johannesburg, the descent is in terracelike steps, each step marked by a line of hills; in other places there is a gradual slope and elsewhere the descent is abrupt, with outlying hills and deep well-wooded valleys.

On the following day Lord Methuen delivered an attack upon Cronje's position between the Upper Modder river and the Kimberley road, a line of kopjes called Spytfontein and Magersfontein.

The establishment of a line of defensive posts between Bloemfontein and Ladybrand, though De Wet had three times traversed it, had given Blockhouse Policy.

The psychopathic, the tubercular, the rickety, and the gouty constitution may all be transmitted through a line of ascendants, and only require the necessary exciting agents to render them apparent.

If a point be in motion in any orbit and with any velocity, and if, at each instant, a line be drawn from a fixed point parallel and equal to the velocity of the moving point at that instant, the extremities of these lines will lie on a curve called the hodograph.

It passed Kentish Town, Camden Town and King's Cross, and followed a line approximating to King's Cross Road.

The Metropolitan railway has a line from Baker Street through north-west London to Harrow, continuing to Uxbridge, while the original main line runs on to Rickmansworth, Aylesbury and Verney Junction, but has been worked by the Metropolitan and Great Central companies jointly since 1906.

Tite also agreed with Dr Stukeley's suggestion that on the site of the Mansion House (formerly Stocks Market) stood the Roman forum, and he states that a line drawn from that spot as a centre would pass by the pavements found on the site of the Excise Office.

If we take from the Itinerary the last station before Londinium in all the routes we shall be able to obtain some idea of the position of the gate entered from each route by drawing a line on the map of London to the nearest point.

The coast, which curves to the N.E., is marked by a line of sandhills covered with thick bush and rising in places to a height of 500 ft.

The outcrop of a metalliferous vein frequently manifests itself as a line of rocks stained with oxide of iron, often honeycombed and porous, the " gossan " or " eisen-hut," the iron oxide of which results from the decomposition of the pyrites, usually present as a constituent of such veins.

When the mineral does not stand well in the pillar it will be necessary to erect a line of timbers with lagging so as to sheathe the under-side of the pillar and prevent level '/?//?

On the 27th a general move forward took place, the Turks (9th Div.) offering little opposition, and by nightfall the Allies held a line stretching approximately from the north end of Morto Bay to " Gully " beach.

In fact, if you would break a page into two columns, it would be even even easier to follow a line and keep one's eye on track.

With a line or two of personal detail (22-25) the note closes.

When the glass is cold the surplus is removed either by grinding, or by applying heat to a line scratched with a diamond round the bowl.

On one side of this a lion is engraved, and also a line of cuneiform characters, in which is the name of Sargon, king of Assyria, 722 B.C. Fragments of coloured glasses were also found there, but our materials are too scanty to enable us to form any decided opinion as to the degree of perfection to which the art was carried in Assyria.

The eighth guru was the second son of Har Rai, but he died when a child and too young to leave any mark on in his favour and also in favour of the next guru for having altered a line of the Granth to please the emperor Aurangzeb.

The varying direction of the inclining couple Pc may be realized by swinging the weight P from a crane on the ship, in a circle of radius c. But if the weight P was lowered on the ship from a crane on shore, the vessel would sink bodily a distance P/wA if P was deposited over F; but deposited anywhere else, say over Q on the water-line area, the ship would turn about a line the antipolar of Q with respect to the confocal ellipse, parallel to FF', at a distance FK from F FK= (k2-hV/A)/FQ sin QFF' (2) through an angle 0 or a slope of one in m, given by P sin B= m wA FK - W'Ak 2V hV FQ sin QFF', (3) where k denotes the radius of gyration about FF' of the water-line area.

For example, a pair of equal opposite vortices, moving on a line parallel to a plane boundary, will have a corresponding pair of images, forming a rectangle of vortices, and the path of a vortex will be the Cotes' spiral r sin 20 = 2a, or x-2+y-2=a-2; (io) this is therefore the path of a single vortex in a right-angled corner; and generally.

The image of a source of strength p at S outside a sphere of radius a is a source of strength pa/f at H, where 'OS' =f, OH =a2/f, and a line sink reaching from the image H to the centre 0 of line strength - A la; this combination will be found to produce no flow across the surface of the sphere.

The motion of these cylinders across the line of centres is the equivalent of a line doublet along each axis.

There are, however, no outward signs enabling us to distinguish conclusively between both categories of laws in the codes, nor is it possible to draw a line between permanent laws and personal ordinances of single sovereigns, as has been attempted in the case of Frankish legislation.

After the Kassite conquest of the country, northern Babylonia came to be known as Kar-Duniyas, " the wall of the god Duniyas," from a line of fortification similar to that built by Nebuchadrezzar between Sippara and Opis, so as to defend his kingdom from attacks from the north.

According to Ptolemy, these divisions were separated by a line drawn from Arrabona (Raab) in the north to Servitium (Gradiska) in the south; later, the boundary was placed farther east.

Zwemer have explored Oman in the extreme east; but the interior south of a line drawn from Taif to El Katr on the Persian Gulf is still virgin ground.

Sirhan is continuous with the depression known as the Jauf, situated on the northern edge of the Nefud or Nafud, and the halfway station between Damascus and Hail; and it is possible that this depression continues eastward towards the Euphrates along a line a little north of the thirtieth parallel, where wells and pasturages are known to exist.

They stretch with only two short breaks in a line from the Mediterranean at the Gulf of Gabes to the Algerian frontier, which they penetrate for a considerable distance.

Then came the continuation of the line from Hamman-el-Enf to Hammamet and along the Sahel to Susa (93 m.), and the building of a line from Susa to Kairwan, 31 m.

At the junction of 2 D the Cauches with that river, that Ecuadorean line descends the Chinchipe to the Maranon, and the Peruvian ascends to a point where it is intersected by a line following the eastern Cordillera northward to the head-waters of the Caqueta, or Japura, which forms the northern boundary down to the Brazilian frontier.

The streams, which are plentiful, are traced through the uplands and glens by a line of straggling brushwood and rank herbage.

An agreement was entered into in 1898 whereby China leased to Great Britain for ninety-nine years the territory behind Kowloon peninsula up to a line drawn from Mirs Bay to Deep Bay and the adjoining islands, including Lantao.

The lip of the fracture is now marked by a line of steaming vents.

The depression is marked by a line of volcanoes, including Fuji, and is in part buried beneath the products of their eruptions.

He left a line of descendants extending far into the I5th century, all famous for Buddhist pictures, and some engaged in establishing a native style, the Wa-gwa-ryu.

Of course it is to be noted that the edge of the cutting tool is never allowed to trespass upon a line which the exigencies of the design require to be solid.

Some time elapsed before this example found followers, but ultimately a programme was elaborated and carried out having for its basis a grand trunk line extending the whole length of the main island from Aomori on the north to Shimonoseki on the south, a distance of 1153 m.; and a continuation of the same line throughout the length of the southern island of KiQshiO, from Moji on the northwhich lies on the opposite side of the strait from Shimonosekito Kagoshima on the south, a distance of 2323/4 m.; as well as a line from Moji to Nagasaki, a distance of 1631/8 m.

It also works coal-fields at Yentai and Fushun; has a line of steamers plying between Tairen and Shanghai; and engages in enterprises of electricity, warehousing and the management of houses and lands within zones 50 Ii (17 m.) wide on either side of the line.

If a line be drawn from the island of Urk to Marken, and thence westwards to Hoorn (North Holland) and N.N.E.

The path described by it when removed from the action of gravity and all other physical forces is called a line of electric force.

We may otherwise define it by saying that a line of electric force is a line so drawn in a field of electric force that its direction coincides at every point with the resultant electric force at that point.

In the limiting case of a long fine tube, the bore of which varies in such a manner that U is constant, the state of the substance along a line of flow may be represented by the line of constant total heat, d(E+pv) = o; but in the case of a porous plug or small throttling aperture, the steps of the process cannot be followed, though the final state is the same.

The water is brought from a ditch on the high ground, and through a line of pipes to the distributing box, whence the branch pipes supplying the jets diverge.

The artillery was posted on the Dunbar side of the burn, directly opposite and north of Doon, the infantry and cavalry crossed where they could, and formed up gradually in a line south of and roughly parallel to the Berwick road, the extreme left of horse and foot, acting as a reserve, crossed at Brocksmouth House on the outer flank.

North of Tanganyika the valley is suddenly interrupted by a line of ancient eruptive ridges, which dam back the waters of Lake Kivu, but have been recently cut through by the outlet of that lake, the Rusizi, which enters Tanganyika by several mouths at its northern end.

Mr Hore often failed to find bottom with a line of 168 fathoms. The French explorer, Victor Giraud, reported 647 metres (about 350 fathoms) off Mrumbi on the west coast, and Moore depths of 200 fathoms and upwards near the south end.

The diameter of a quadric surface is a line at the extremities of which the tangent planes are parallel.

In 1746 he was made commissary of the province for Indian affairs, and was influential in enlisting and equipping the Six Nations for participation in the warfare with French Canada, two years later (1748) being placed in command of a line of outposts on the New York frontier.

Third and fourth digits of both feet almost equally developed, and their terminal phalanges flattened on their inner or contiguous surfaces, so that each is not symmetrical in itself, but when the two are placed together they form a figure symmetrically disposed to a line drawn between them.

The Allgemeine Literatur-Zeitung went so far as to say that no one who had read a line of Kant's writings could fail to recognize the eminent author of this new work.

In 1811 Espartero was appointed a lieutenant of Engineers in Cadiz, but having failed to pass his examination he entered a line regiment.

At that time the only railway in the country was a line from Tanga to the Usambara highlands.

It was the fruit of twenty years' labour, and exhibits with a brevity of expression, which, it has been said, "condenses more matter into a line than can be extracted from pages of other writers," the results of his study.

In a line with the jetty is Adderley Street, and its continuation Government Avenue.

On the east the limit of the Uganda Protectorate in 1901 was the thalweg of Lake Rudolf and a line drawn from the south-eastern coast of that lake south along the edge of the Laikipia and Kikuyu escarpments to the frontier of German East Africa.

The pope drew a line from north to south one hundred leagues west of the Azores and Cape Verde Islands, and gave the Spaniards the claim to all to the west (May 4, 1493).

Until the 9th century the only means for sighting cannon was by the " line of metal " - a line scored_ along the top of the gun, which, owing to the greater thickness of metal at the breech than at the muzzle, was not parallel to the axis.

It was ranged by varying the charge, and layed for line by means of a line and plumb bob Laying aligned on a picket.

Perhaps the Roman theologians of that age were more concerned than the Protestants to draw a line round necessary truths.

Thousands of cultivators who had emigrated across the Wardha to the peshwa's dominions, in order to escape the ruinous fiscal system of the nizam's government, now returned; the American Civil War gave an immense stimulus to the cotton trade; the laying of a line of railway across the province provided yet further employment, and the people rapidly became prosperous and contented.

It was also the first American census to give a line of the schedule to each person, death or establishment enumerated, and thus to make the returns in the individual form indispensable for a detailed classification and compilation.

The mean distance of a plane figure from a line in its plane, or of any figure from a plane, is therefore the same as the distance of the centroid of the figure from the line or plane.

We sometimes require the moments with regard to a line or plane through the centroid.

The first moment of a plane figure with regard to a line in its plane may be regarded as obtained by dividing the area into elementary strips by a series of parallel lines indefinitely close together, and concentrating the area of each strip at its centre.

If we draw a line at right angles to TCV, meeting TCV produced in M and parallels through A and B in K and L, the area of the triangle ATB is KL.

It therefore appears as a calculated length rather than as a definite line in the figure; except that, if there is only one ordinate of this length, a line drawn through its extremity is so placed that the area of the trapezette lying above it is equal to a corresponding area below it and outside the trapezette.

The circle, for instance, is regarded geometrically as a line described in a particular way, while from the point of view of mensuration it is a figure of a particular shape.

In the case, therefore, of any solid whose cross-section at distance x from one end is a quadratic function of x, the position of the crosssection through the centroid is to be found by determining the position of the centre of gravity of particles of masses proportional to So, S2, and 4S 1, placed at the extremities and the middle of a line drawn from one end of the solid to the other.

At another intercolonial conference at Albany, called by Burnet, a line of trading posts along the northern and western frontiers was strongly recommended.

It was a settled point of British military policy throughout the war to hold New York City, and from it, as a base, to establish a line of fortified posts along the Hudson by means of which communication might be maintained with another base on Lake Champlain.

Washington prepared to withstand the British behind fortifications on Harlem Heights, but discovering that Howe was attempting to outflank him by landing troops in the rear he retreated to the mainland, leaving only a garrison at Fort Washington, and established a line of fortified camps on the hills overlooking the Bronx river as far as White Plains.

Entering the south-east corner of the state, the Oregon Railroad & Navigation Company extends a line northwards to Spokane, and a branch of the Great Northern, leaving the main line at this city, runs north-westward into British Columbia.

The Spokane, Portland & Seattle railway connects the three cities named by way of the Columbia Valley; and the Spokane & Inland Empire sends a line eastward into Idaho to the Coeur d'Alene country and another through the south-eastern part of the state into Nevada.

If one prong of each fork be furnished with a small plain mirror, and a beam of light from a luminous point be reflected successively by the two mirrors, so as to form an image on a distinct screen, when one fork alone is put in vibration, the image will move on the screen and be seen as a line of a certain length.

No natural boundary marks the western frontier, a line across the veld (separating it from the Griqualand West district of the Cape) from the Orange to the Vaal rivers.

The second system is formed by a line leaving the Natal trunk railway at Ladysmith which crosses the Drakensberg at Van Reenen's Pass and is continued thence through Harrismith to Bethlehem.

On the other side from left to right, on a line 40 m.

Such a line has for abscissa the distance of a load from one end of a girder, and for ordinate the bending moment or shear at any given section, or on any member, due to that load.

The axis becomes, therefore, a line of resistance, and in reasoning of the stresses on frames we may treat the frame as consisting of simple straight lines from joint to joint.

To the south of Hythe this shore borders the wide expanse of Romney Marsh, which, immediately west of Hythe, is overlooked by a line of abrupt hills, but for the rest is divided on the north from the drainage system of the Stour only by a slight uplift.

In 1872 he undertook the defence of his friend Lord Chancellor Hatherley, when attacked for his appointment of Sir Robert Collier to the judicial committee of the Privy Council, and, by a line of argument more ingenious than convincing, secured a majority for the government.

A good deal of salt is produced in a line which closely follows the railway.

The Belgian Ardennes may be said now to extend from the Meuse above Dinant on the west to the grand duchy of Luxemburg and Rhenish Prussia as far north as the Baraque de Michel on the east, and from a line drawn eastward from Dinant through Marche, Durbuy and Stavelot to the Hautes Fagnes on the north, to the French frontier roughly marked by the Semois valley in the south.

Running south-east through Sumatra, east through Java and the southern islands to Timor, curving north through the Moluccas, and again north, from the end of Celebes through the whole line of the Philippines, they follow a line roughly resembling a horseshoe narrowed towards the point.

The same conditions have produced similar spiritual aristocracies again and again in the East in more modern times, and even in antiquity more than one Oriental priesthood took a line of development similar to that which we have traced in Judaea.

His general plan was to maintain as advanced a line as possible, to manoeuvre against the investing troops, and to support his own by the long range fire of his rifled guns.

Sodium is most distinctly recognized by the yellow coloration which volatile salts impart to a Bunsen flame, or, better, by its emission spectrum which has a line (double), the Fraunhofer D, line, in the yellow (the wave-lengths are 5896 and 5890).

A fresh impetus to commerce was given by the opening in 1910 of the railway from Tongking, a line built by French engineers and with French capital.

A decree of 1857 granted to the Paris-Lyons Company the right to construct a line linking Algiers with Oran (266 m.) and Constantine (290 m.) and shorter lines joining the seaports to the trunk line, notably Philippeville to Constantine (54 m.).

From Arzeu a line goes south across the plateaus and crossing the Ksur range at a height of 4211 ft.

The Old Syriac, if we take the Sinaitic MS. as the purest form, compared in the same way, has a similar double series of interpolations and omissions, but neither the omissions nor the interpolations are the same in the Old Latin as in the Old Syriac. Such a line of research suggests that instead of being able, as WH thought, to set the Western against the Neutral text (the Alexandrian being merely a development of the latter), we must consider the problem as the comparison of at least three texts, a Western (geographically), an Eastern and the Neutral.

Ostensibly, he was only the Holstein minister at Charles's court, in reality he was everything in Sweden except a Swedish subject - finance minister, plenipotentiary to foreign powers, factotum, and responsible to the king alone, though he had not a line of instructions.

Its area is usually restricted to the waters north of the latitude of Cape San Lucas, but it should be extended to the outer waters enclosed by a line from Cape San Lucas to Cape Corrientes.

Railways began in Mexico with a line of four kilometres between the capital and Guadalupe, which was finished in 1854 and afterwards became a part of the Ferrocarril Mexicano.

In 1874 a concession was granted for a line from the port of Progreso to Merida (222 m.), and in 1878 four concessions were added under which 806 m.

Monterrey is connected with Tampico by a Belgian line known as the F.C. de Monterrey al Golfo Mexicano, and the capital is to have direct connexion with the Pacific, other than the F.C. Interoceanico, by a line through Cuernavaca and Iguala to the coast.

Further north, the Aleutian islands offer a line of easy sea passage, while in north-east Asia, near Bering's Strait, live Chukchi tribes who carry on intercourse with the American side.

The laws and records of suits were set down in picture-writings, of which some are still to be seen; sentence of death was recorded by drawing a line with an arrow across the portrait of the condemned, and the chronicles describe the barbaric solemnity with which the king passed sentence sitting on a golden and jewelled throne in the divine tribunal, with one hand on an ornamented skull and the golden arrow in the other.

Railway communication in Venetia is fairly good; there is a main line from Milan to Mestre (the junction for Venice) and thence to Trieste by a line near the coast, or by Treviso, Udine and Pontebba (Pontafel) into Austria.

Massachusetts proposed to confine New Hampshire to less than one-fourth its present area; that is, on the west to a line drawn 3 m.

New Hampshire claimed for its southern boundary a line drawn west from a point 3 m.

Both parties then appealed to the king, and in 1741 the king in council confirmed the decision of the commission in regard to the eastern boundary and decided that the southern boundary should be a line corresponding to the course of the Merrimac from 3 m.

Cramped places will have to be jumped from a walk or even at a stand; for instance, a tree may be in a line with and close to the only practicable place in a fence; it then becomes necessary to go round the tree before a run at the place can be managed.

When a line of willows indicates the whereabouts of a brook, the horse should be well collected, a clear place selected, so far as circumstances allow, and the pace increased, though in short strides, up to the very brink.

The chief towns are Arnstadt (pop. 16,275 in 1905), which at one time gave name to a line of counts, in the southern, and Sondershausen (7425), the capital, in the northern (or upper) barony.

Wit continued decrease of altitude south-eastward, the crystalline belt dips under the coastal plain, near a line marked by the Delaware river from Trenton to Philadelphia in Pennsylvania, and thence south-south-westward through Maryland and Virginia past the cities of Baltimore, Washington and Richmond.

The chapter-house (C) always opened out of the east walk of the cloister in a line with the south transept.

The weir is opened by joining the needles of each bay by a chain passed through the eyes at the top and a line of wire through the central rings, so that when released at the top by the tilting of the escape bar by the derrick, they float down as a raft, and are caught by a man in a boat, or, when the cur rent is strong, they are 'mopes ?o drawn to the bank by a rope attached to them previously to their release.

The boundary between the two powers, as laid down by the treaty for purchase, was a line drawn from the middle of Bering Strait south-west to a point midway between the Aleutian and Komandorski Islands dividing Bering Sea into two parts, of which the larger was on the American side of this line.

With the first of the four large systems is connected the Grand Trunk Pacific. The Intercolonial, as also a line across Prince Edward Island, is owned and operated by the federal government.

The government of Ontario has constructed a line to open up the agricultural and mining districts of the north of the province, and is operating it by means of a commission.

She continued her work of building a line of forts on the great lakes - on the river Niagara, on the Ohio, on the Mississippi; and the English colonies, with the enemy thus in their rear, grew ever more restive.

This is the less improbable because it lies in the neighbourhood of a line of earthquake movement, and both from Thucydides and from Strabo we hear of the northern part of the island being shaken at different periods, and the latter writer speaks of a fountain at Chalcis being dried up by a similar cause, and a mud volcano formed in the neighbouring plain.

It obviously makes a difference upon which side of a leaf, whether on the verso or the recto, a line was written.

The point of Aristotle was to draw a line between rational and other evidences, to insist on the former, and in fact to found a logic of rhetoric. But if in the Rhetoric to Alexander, not he, but Anaximenes, had already performed this great achievement, Aristotle would have been the meanest of mankind; for the logic of rhetoric would have been really the work of Anaximenes the sophist, but falsely claimed by Aristotle the philosopher.

The Series Of Golden Numbers Is Written In A Line At The Top Of The Table, And Under Each Golden Number Is A Column Of Thirty Epacts, Arranged In The Order Of The Natural Numbers, Beginning At The Bottom And Proceeding To The Top Of The Column.

There Are Also Eight Lines In Which 25 And 26 Occur, Namely, C, F, 1, P, S, C, F, P. In The Other 14 Lines, 25 Either Does Not Occur At All, Or It Occurs In A Line In Which Neither 24 Nor 26 Is Found.

Augusta is served by the Southern, the Augusta Southern (controlled by the Southern), the Atlantic Coast Line, the Charleston & Western Carolina (controlled by the Atlantic Coast Line), the Georgia and the Central of Georgia railways, by an electric line to Aiken, South Carolina, and by a line of steamers to Savannah.

The largest and southernmost, a broad belt extending from the " fall-line " to a line passing through Clarkesville, Habersham county, Cartersville, Bartow county and Buchanan, Haralson county (approximately), is known as the Piedmont Belt or Plateau, being a region of faint relief eroded on highly complicated crystalline rocks.

Along the middle of the hinder half of the back is a line of long erectile white hairs, forming the "fan," continued down over the rump; in repose this is concealed by the surrounding hair, but is conspicuously displayed when the animal takes the great leaps from which it derives its popular name.

Gardelegen was founded in the 10th century, and was for a long time the seat of a line of counts.

The homogeneity of vibration may also be diminished by molecular impacts, but the number of shocks in a given time depends on pressure and we may therefore expect to diminish the width of a line by diminishing the pressure.

The fact that in certain simple cases where a line when looked at equatorially splits into a triplet, the ratio of the charge to the mass is found by Lorentz's theory to be equal to that observed in the carrier of the kathode ray, shows that in these cases the electron moves as an independent body and is not linked in its motion to other electrons.

In heraldry, a bevel is an angular break in a line.

He established between the Clyde and Forth a frontier meant to be permanent, guarded by a line of forts, two of which are still traceable at Camelon near Falkirk, and at Bar Hill.

The other, starting from Carlisle, ran to Birrens, a Roman fort near Ecclefechan, and thence, by a line not yet explored and indeed not at all certain, to Carstairs and the west end of the wall.

Outside, on the north-east, is the grassy hollow of a tiny amphitheatre; on the west a line of earthworks runs in wider circuit than the walls.

The needle is peculiarly poised, with its point of suspension a little below its centre of gravity, and is exceedingly sensitive; it is seldom more than an inch in length, and is less than a line in thickness.

A railway to Ber Reshid, the first section of a line intended to tap the rich agricultural region of which Casablanca is the port, was opened in September 1908, being the first railway built in Morocco.

The angle between a line and a curve (mixed angle) or between two curves (curvilinear angle) is measured by the angle between the line and the tangent at the point of intersection, or between the tangents to both curves at their common point.

Ferhan and the South Shammar claimed the steppe south-east of a line from Mosul to Mayadin (just below Karl isiya), and Faris and the North Shammar the north-west.

In 1755 a volunteer militia had been created and was led with great success by Benjamin Franklin; and in 1756 a line of forts was begun to hold the Indians in check.

The general structure of the trans-Himalayan chains appears to indicate that the main axis of upheaval of the whole vast mass of the Tibetan highlands is to be found on two approximately parallel lines, represented the one by the Kuen-lun and the other by a line which is more or less coincident with the watershed between India and the central lake region, extending from Lake Pangong to Tengri Nor, the plateau enclosed between the two being wrinkled by minor folds, of which the relative elevation is comparatively low, averaging from woo to 1500 ft.

But there was a tradition of a line of bishops earlier than Gregory in Siuniq, a region east of Ararat along the Araxes (Aras), which in early times claimed to be independent of the catholicus.

About a mile beyond is a line of outer forts.

The state constitution adopted in 1802 followed the enabling act in accepting this line, but made the proviso that if it should not intersect Lake Erie east of the mouth of the Miami river, then the northern boundary should be a line from the southern end of Lake Michigan to the most northern cape of Maumee Bay and thence to the Territorial line, and to the Pennsylvania line.

In military and naval use "to rake" means to enfilade, to fire so that the shot may pass lengthwise along a ship, a line of soldiers, entrenchments, &c. In the nautical sense of the projection or slope of a ship's bows or stern or the inclination of a mast, the word is apparently an adaptation of the Scandinavian raka, to reach, in the sense of reach forward.

It is the chief port of entry for Walachia, and the headquarters of the grain trade; for, besides its advantageous position on the river, it is connected with the central Walachian railways by a line to Buzeu, and with the Russian and Moldavian systems by a line to Galatz.

Strictly speaking, we should follow the Reschen Scheideck route down the Adige valley, but as this would include in the Central Alps the Ortler and some other of the highest Tirolese summits, it is best (remembering the artificial character of the division) to draw a line from Nlals southwards either over the Umbrail Pass (the old historical pass) or the Stelvio (wellknown only since the carriage road was built over it in the first quarter of the 19th century) to the head of the Valtellina, and then over the Aprica Pass (as the Bergamasque Alps properly belong to the Central Alps) to the Oglio valley or the Val Camonica, and down that valley to the Lake of Iseo and Brescid.

Triassic Permian Plutonic Rocks Volcanic Rocks West of a line which runs from Lake Constance to Lago Maggiore the zones already described do not continue with the same simplicity.

The present volcanoes lie along a line (with offshoots) which runs parallel to the west coast, but some distance to the east of the fissures from which the early Tertiary lavas were poured.

In fact, one quarter of the whole kingdom, consisting of the provinces of North and South Holland, the western portion of Utrecht as far as the Vaart Rhine, Zeeland, except the southern part of ZeelandFlanders, and the north-west part of North Brabant, lies below the Amsterdam zero; and altogether 38% of the country, or all that part lying west of a line drawn through Groningen, Utrecht and Antwerp, lies within one metre above the Amsterdam zero and would be submerged if the sea broke down the barrier of dunes and dikes.

Between the volcanic tract of the Campagna and the sea there is a broad strip of sandy plain, evidently formed merely by the accumulation of sand from the sea, and constituting a barren tract, still covered almost entirely with wood as it was in ancient times, except for the almost uninterrupted line of villas along the ancient coastline, which is now marked by a line of sandhills, some 2 m.

He gave a proof of his regard for the service of the country by taking his passage home in a small brig rather than withdraw a line of battle ship from the squadron, which his rank entitled him to do, and as other admirals of the time generally did.

When it is desired to read a line in the reverse direction the telescope is lifted out of the cradle, turned end for end, and replaced in the Y bearings of the cradle again.

To the north of a line drawn from Aixla-Chapelle to Bonn the province is flat, and marshy districts occur near the Dutch frontier.

The old city was triangular in shape, two sides being bounded by the Rhine and Mosel and the third by a line of fortifications.

This width of flooring was doubled to 223 ft., and along the upstream face a line of sheet piling was driven 16 ft.

From the middle of the 14th to the middle of the 16th century a large part of Behar was ruled by a line of Brahman tributary kings; and in the 15th century another Hindu dynasty ruled in Champaran and Gorakhpur.

This region is bordered on the south by a densely peopled district, the northern boundary of which may be defined by a line from Coburg via Cassel to Mnster, for in this part there are not only very fertile districts, such as the Goldene Aue in Thuringia, but also centres of industry.

The want of a central government opelated injuriously, for it often happened that intricate negotiations and solemn treaties between several sovereign states were required before a line could be constructed; and, moreover, the course it was to take was often determined less by the general exigencies of commerce than by many trifling interests or desires of neighboring states.

An agreement was made with the Norddeutsche Lloyd, one clause of which was that all the new steamers were to be built in Germany; in 1890 a further vote was passed for a line to Delagoa Bay and Zanzibar.

The south-western part is naturally divided into two tracts by the Niagara escarpment, a line of cliffs capped by hard Silurian limestones, running from Queenston Heights near the falls of Niagara west to the head of Lake Ontario near Hamilton, and then northwest to the Bruce Peninsula on Georgian Bay.

The provincial government owns a line running north from North Bay, operated by a board of commissioners.

In addition to the canals, the cabinet proposed and the Chamber sanctioned the construction of a " second railway route to Trieste " designed to shorten the distance between South Germany, Salzburg and the Adriatic, by means of a line passing under the Alpine ranges of central and southern Austria.

Miocene and Pliocene deposits cover nearly the whole of the country south of a line drawn from Etna to Marsala; and there is also a considerable Miocene area in the north about Mistretta.

From Victoria a line runs to Soppo (22 m.) near Buea and is continued thence northward.

In the XXVlth Dynasty, when a line of Pharaohs sprang from Sais, she regained a prominent position, and was given many cosmogonic attributes, including the title of mother of Re.

As a compromise Mukhtar Pasha suggested as the frontier a line drawn direct from Raf a to Ras Mahommed (the most southern point of the Sinai peninsula), which would have left the whole of the gulf of Akaba in Turkish territory.

The upheaval of the country, a movement common to a large part of the Scandinavian peninsula, still continues, though slowly, north-east of a line drawn in a south-easterly direction from Nissumfjord on the west coast of Jutland, across the island of Fyen, a little south of the town of Nyborg.

From the frontier a line runs east by Fredericia, across the island of Flinen by Odense and Nyborg, to Korsiir on Zealand, and thence by Roskilde to Copenhagen.

The boundaries of the " regno" were finally fixed, by a truce with the pope in October 1144, at a line south of the Tronto and east of Terracina and Ceprano.

They then fortified the Forth and Clyde Isthmus with a line of forts, two of which, those at Camelon and Barhill, have been identified and excavated, penetrated into Perthshire, and fought the decisive battle of the war (according to Tacitus) on the slopes of Mons Graupius.

Physically, Scotland is divided into three geographical regions - the " Highlands " (subdivided by Glen More into the NorthWestern and South-Eastern Highlands); the Central Plain or " Lowlands " (a tract of south-westerly to north-easterly trend, between a line drawn roughly from Girvan to Dunbar and a line drawn from Dumbarton to Stonehaven); and the Southern Uplands.

The longitudinal valleys, which run in the same general direction as the ridges - that is, north-east and south-west--have had their trend defined by geological structure, such as a line of dislocation (the Great Glen), or the plications of the rocks (Lochs Ericht, Tay and Awe, and most of the sea lochs of Argyllshire).

Hardly any lakes are to be seen east of a line drawn from Inverness to Perth.

From Lulach descended a line of Celtic pr tendants, and for a century the dynasty violently founded by Malcolm II.

All Mercia south of a line from Dore (near Sheffield), through Whitwell to the Humber, was now in Edmund's hands, and the five Danish boroughs, which had for some time been exposed to raids from the Norwegian kings of Northumbria, were now freed from that fear.

The summits of the western range form a line of noteworthy regularity, but those of the eastern form a broken irregular line of varying distances from the first.

It also follows that a line half-way between a point and its polar and parallel to the latter touches the parabola, and therefore the lines joining the middle points of the sides of a self-conjugate triangle form a circumscribing triangle, and also that the ninepoint circle of a self-conjugate triangle passes through the focus.

In 1857, after some unfruitful preliminary attempts, the Turkish Government agreed to the construction of a line from Scutari to Bagdad on their behalf; this was finished in 1861 and was extended to Fao by 1864, after further lengthy negotiations, when it was linked up with the cable from Karachi which had been laid meanwhile.

The setting in the meridian is effected by turning the instrument after setting for latitude until a pin-hole aperture s and a small screen P, placed so that Ps is parallel to CO, are in a line with the sun.

As far as can be seen at present, there are remains of only one villa on the island itself; 1 but along the coast a mile to the north-west a line of villas begins, which continues as far as Antium.

The Greeks discovered that if a line be divided in extreme and mean proportion, then the whole line and the greater segment are the lengths of the edge of a cube and dodecahedron inscriptible in the same sphere.

The Galilean Mountains, north of the plain of Esdraelon, fall into two regions, divided by a line joining Acre with the north end of the Sea of Galilee.

The peninsula (Chersonese or Cimbric peninsula of ancient geography) extends northward, from a line between Lubeck and the mouth of the Elbe, for 270 m.

According to the legend, Stade was the oldest town of the Saxons and was built in 321 B.C. Historically it cannot be traced farther back than the 10th century, when it was the capital of a line of counts.

There are hundreds of caves in this neighbourhood, all pointing to a line of Buddhist occupation connecting Balkh with Kabul.

Beginning with the Persian border at Zulfikar on the Hari Rud river, the boundary between Afghanistan and Russia follows a line roughly parallel to the course of the Paropamisus, and about 35 m.

This point, by a line measured down the valley, but not following the winding of the river, is about 1050 m.

A blood-feud arose between them and a line of Afghan princes who had established themselves among the mountains of Ghor.

One of the blood-royal of Vijayanagar fled to Chandragiri, and founded a line which exercised a prerogative of its former sovereignty by granting the site of Madras to the English in 1639.

To complete this sketch of India at the time of Baber's invasion it remains to say that an independent Mahommedan dynasty reigned at Ahmedabad in Gujarat for nearly two centuries (from 1391 to 1573), until conquered by Akbar; and that Bengal was similarly independent, under a line of Afghan kings, with Gaur for their capital, from 1336 to 1573.

The total strength of the army was raised by ro,000 British and 20,000 native troops, at an annual cost of about two millions sterling; and the frontier post of Quetta, in the neighbourhood of Kandahar, was connected with the Indian railway system by a line that involved very expensive tunnelling.

Recent eruptive rocks, mainly basalts, form a line of hills almost bare of vegetation between Benguella and Mossamedes.

At Borstal a line of forty intended to protect Chatham on the south and west have been erected by convicts; they have also built magazines at Chattenden on the left bank of the Medway.

Musa, though angered by the disobedience of Tariq, hastened to the rescue and embarked in April 712 with 18,000 men, among them many noble Arabs, and began, advised by Julian, a methodical campaign, with the purpose of establishing and securing a line of communication between the sea and Toledo.

With the mountain-traversed region he had been exploring acquired by the United States, Fremont was eager for a railway from the Atlantic to the Pacific, and in October 1848 he set out at his own and Senator Benton's expense to find passes for such a railway along a line westward from the headwaters of the Rio Grande.

Korea is connected with the Chinese and Japanese telegraph systems by a Japanese line from Chemulpo via Seoul to Fusan, and by a line acquired by the empire between Seoul and Wiju.

Inference, curiously enough, falls under the technical side of dialectic concerned with knowledge in process or becoming, a line of cleavage which Ueberweg has rightly characterized as constituting a rift within Schleiermacher's parallelism.

One geometrical interpretation of the negative sign of algebra was early seen to be mere reversal of direction along a line.

Or if motion in one direction along a line be treated as positive, motion in the opposite direction along the same line is negative.

To turn a line through a certain angle in a given plane, a certain operator is required; but when we wish to turn it through an equal negative angle we must not, in general, employ the negative of the former operator.

For the negative of the operator which turns a line through a given angle in a given plane will in all cases produce the negative of the original result, which is not the result of the reverse operator, unless the angle involved be an odd multiple of a right angle.

For this equation merely states that m turnings of a line through successive equal angles, in one plane, give the same result as a single turning through m times the common angle.

Also, if 0 be the angle between them, and x", y", z" the direction-cosines of a line perpendicular to each of them, we have xx' +yy'+zz' =cos 0, yz' - zy" = x" sin 0, &c., so that the product of two unit lines is now expressed as - cos0+ (ix" +jy" +kz") sin 0.

Lerida is traversed by the main railway from Barcelona to Saragossa, and by a line from Tarragona to the city of Lerida.

The points of contact form a line on the opaque body separating the illuminated from the non-illuminated portion of its surface.

Similarly, when these lines are produced to meet the screen, their points of intersection with it form a line which separates the illuminated from the non-illuminated parts of the screen.

In the extreme north at the Cock of Arran, there is a small development of these beds; they also occupy the whole of the east coast south of Corrie, and they spread over the south part of the island south of a line between Brodick Bay and Machrie Bay on the west.

On the east, no natural boundary separates it from the Armenian plateau; but, for descriptive purposes, it will suffice to take a line drawn from the southern extremity of the Giaour Dagh, east of the Gulf of Alexandretta along the crest of that chain, then along that of the eastern Taurus to the Euphrates near Malatia, then up the river, keeping to the western arm till Erzingan is reached, and finally bending north to the Black Sea along the course of the Churuk Su, which flows out west of Batum.

Along the south-eastern margin, in front of the Taurus, stands a line of great volcanoes, stretching from Kara-Dagh to Argaeus.

The right wing of the 19th was still holding on Globocak and had been reinforced by the ist Bersaglieri Brigade; Alpine troops still held a line down to the river, though they had been driven off their original positions on Krad Vrh, and troops of the 64th were being brought back from the left bank to strengthen this line.

Army, was of opinion that he could hold on a line from Monte Maggiore to Monte Carnizza and thence across the valleys to Monte Korada.

Army and fall back on a line that could be held by a smaller number of troops.

As regards the configuration of this complex, consider a line whose shortest distance from the central axis is r, and whose inclination to the central axis is 0.

In the analogous theory of infinitely small displacements of a solid, a null-line is a line such that the lengthwise displacement of any point on it is zero.

This product is the same whatever point on the line of action be taken, since the lengthwise components of the dispJacements of any two points A, B on a line AB are equal, to the first order of small quantities.

Line of PressuresCentres and Line of Resistance.The line of pressures is a line to which the directions of all the resistances in one polygon are tangents.

The line of resistance is a line traversing all the centres of resistance of a series of joints,its form, in the positions intermediate between the actual joints of the structure, being determined by supposing the pieces and their loads to be subdivided by the introduction of intermediate joints ad snfinstum, and finding the continuous line, curved or straight, in which the intermediate centres of resistance are all situated, however great their number.