Intersect sentence example

intersect
  • Several important roads intersect the province; among them are - I.

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  • The axes will not be parallel, nor will they intersect each other.

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  • The tunnel widened, and his pace slowed as he saw another tunnel intersect it.

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  • Good roads and byeways intersect it in every direction.

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  • You must not intersect more than two chords at the same point.

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  • Plucker finally (Gergonne Ann., 1828-1829) showed how many points must be taken on a curve of any degree so that curves of the same degree (infinite in number) may be drawn through them, and proved that all the points, beyond the given ones, in which these curves intersect the given one are fixed by the original choice.

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  • Lesser canals intersect the others radially, thus virtually dividing the city into a number of islands; whence it has been compared with Venice.

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  • The country which they thus enclose and intersect forms the delta of Bengal.

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  • Through any point in the field one such line can be drawn, but not more than one, for the force obviously cannot have more than one direction; the lines therefore never intersect.

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  • These plateaus, with an average elevation of Boo to 1000 ft., are mostly covered with forests of oak, beech and lime, and are deeply cut by river valleys, some being narrow and craggy, and others broad, with gentle slopes and marshy bottoms. Narrow ravines intersect them in all directions, and they often assume, especially in the east, the character of wild, impassable, woody and marshy tracts.

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  • At Sao Joao da Chapada, in Minas Geraes, diamonds occur in a clay interstratified with the itacolumite, and are accompanied by sharp crystals of rutile and haematite in the neighbourhood of decomposed quartz veins which intersect the itacolumite.

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  • The condition of stability of a catenoid is therefore that the tangents at the extremities of its generating catenary must intersect before they reach the directrix.

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  • A number of smaller streets intersect the Hauptstrasse at right angles and run down to the river,which is crossed by two fine bridges.

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  • The navigable streams which fall into the Ganges intersect the country in every direction and afford great facilities for internal communication.

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  • Steep and rugged ravines intersect the plains, opening into small bays or coves on the shore, fenced with masses of compact and cellular lava; and all over the island are found products of volcanic action.

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  • Consider two circles partially drawn so that it does not appear whether the circles, if completed, would or would not intersect in real points, say two arcs of circles; then we can, by means of a third circle drawn so as to intersect in two real points each of the two arcs, determine a right line, which, if the complete circles intersect in two real points, passes through the points, and which is on this account regarded as a line passing through two (real or imaginary) points of intersection of the two circles.

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  • And we have then the theorem, two odd circuits intersect in an odd number of points; an odd and an even circuit, or two even circuits, in an even number of points.

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  • A line became continuous, returning into itself by way of infinity; two parallel lines intersect in a point at infinity; all circles pass through two fixed points at infinity (the circular points); two spheres intersect in a fixed circle at infinity; an asymptote became a tangent at infinity; the foci of a conic became the intersections of the tangents from the circular points at infinity; the centre of a conic the pole of the line at infinity, &c. In analytical geometry the line at infinity plays an important part in trilinear co-ordinates.

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  • The streets intersect at right angles, are from 60 to 120 ft.

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  • If we conceive a pole to each of these orbits, determined by the points in which lines perpendicular to their planes intersect the celestial sphere, the pole of the satellite orbit will revolve around the pole of the planetary orbit precisely as the pole of the earth does around the pole of the ecliptic, the inclination of the two orbits remaining unchanged.

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  • Let JO intersect the major axis in 0 1.

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  • Then, simply place the most important parts of your subject where the lines intersect.

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  • In the south, the Lee and the Blackwater intersect the mountains of Kerry and Cork flowing east, and turn abruptly into estuaries opening south.

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  • The railways, which are all owned and managed by the Hungarian state, intersect most parts of the country except the mountains south of Ogulin, where there is, nevertheless, a considerable traffic over the passes into Dalmatia and Bosnia.

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  • It has 12 pentagonal faces, and 30 edges, which intersect in fives to form 12 vertices.

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  • The great dodecahedron is determined by the intersections of the twelve planes which intersect the Platonic icosahedron in five of its edges; or each face has the same boundaries as the basal sides of five covertical faces of the icosahedron.

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  • It has 12 faces, which meet in 30 edges; these intersect in threes to form 20 vertices.

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  • Other less pronounced wrinkles run from southwest to north-east and intersect the former series at certain points, so that it is by alternate digressions from one to the other series that the irregular crest of the Pyrenees acquires its general direction.

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  • Taramelli (Notizie degli Scavi, 1905, 41 seq.) rightly points out that the nucleus of the Roman municipium is probably represented by the present quarter of the Marina, in which the streets intersect at right angles and Roman remains are frequently found in the subsoil.

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  • An important property of confocal systems is that only two confocals can be drawn through a specified point, one being an ellipse, the other a hyperbola, and they intersect orthogonally.

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  • The first book deals with the generation of the three conics; the second with the asymptotes, axes and diameters; the third with various metrical relations between transversals, chords, tangents, asymptotes, &c.; the fourth with the theory of the pole and polar, including the harmonic division of a straight line, and with systems of two conics, which he shows to intersect in not more than four points; he also investigates conics having single and double contact.

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  • The principal rays, which on the object-side connect the object-points with the centre of the entrance pupil, intersect the axis on the image-side at the centre of rotation M of the eye.

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  • The aberration of rays in which the outer rays intersect the axis at a shorter distance than the central rays is known as " undercorrection."

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  • A cross-table is very convenient for this calculation, for with the aid of the two movable slides situated in the plane of the plate and at right angles to one another, the point where the two crystal edges intersect can be quickly and correctly brought into the revolving axis of the plate.

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  • Although the hole did not intersect significant economic mineralization it did intersect three horizons of interest.

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  • Such metabolic pathways are not linear but often intersect to form a complex network.

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  • The marginal cost curve must also intersect the average cost at its minimum.

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  • The boundaries of B - independent predicates not only intersect; they intersect wherever they have a point in common.

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  • Simple algebraic operations are then used to intersect two spheres, or a line and a sphere.

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  • The curve does not appear to intersect the conjugate axis, but the introduction of imaginaries permits us to regard it as cutting this axis in two unreal points.

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  • On the other hand, among the Africans of Punt the waistcloth passes from each knee to the opposite thigh, and two sashes hang down to conceal the parts where they intersect (Miller, r08).

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  • The second aberration which must be removed from microscope objectives are the chromatic. To diminish these a collective lens of crown-glass is combined with a dispersing lens of flint; in such a system the red and the blue rays intersect at a point (see Aberration).

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  • With variation of temperature, the surfaces of equal pressure and density need not coincide; but, taking the pressure, density and temperature as connected by some relation,such as the gas-equation, the surfaces of equal density and temperature must intersect in lines lying on a surface of equal pressure.

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  • Taking this ideal limit as a theoretical or absolute zero, the value of H may be represented on the diagram by the whole area included between the two adiabatics BAZ, CDZ' down to the points where they intersect the isothermal of absolute zero, or the zero isopiestic OV asymptotically at infinity.

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  • The best soils when abundantly irrigated yield from 50to 60-fold, and the water for this purpose is supplied by the innumerable streams which intersect the province.

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  • If r, r i be the radii of two spheres, d the distance between the centres, and 0 the angle at which they intersect, then d2=r2+ r12 2rr l cos ¢ hence 2rr 1 cos =d2r2 - r22.

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  • Properties of the limagon may be deduced from its mechanical construction; thus the length of a focal chord is constant and the normals at the extremities of a focal chord intersect on a fixed circle.

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  • The circles intersect in real or imaginary points according to the lower or upper sign of k 2, and the limiting points are real for the upper sign and imaginary for the lower sign.

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  • When the solution ceases to be dilute in the thermodynamic sense of the word, that is, when the spheres of influence of the solute particles intersect each other, this reasoning ceases to apply, and the resulting modification of the gas laws as applied to solutions becomes a matter for further investigation, theoretical or experimental.

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  • The plan of the city is rectangular, and the streets intersect at right angles, a peculiarity handed down from Roman times, though the area enclosed by the medieval walls is larger than that of the Roman town,, which occupied the eastern portion of the present one.

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  • It requires dividing the viewfinder into nine equal parts and placing the most noteworthy parts of your subject where the lines intersect to create a more interesting composition.

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  • A high cross is a particular type of cross that is decorated with celtic knots or symbols and has a circle around the point where the two arms of the cross intersect.

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  • As you can see from this handful of shops, there are a lot of different definitions of what counts as sustainable that may not intersect with your ideas about organic products.

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  • As soon as your crosshairs intersect it, your gun will lock on to it.

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  • Then perpendicular lines are projected from these lines and the angle at which the lines intersect is measured.

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  • Fold the bottom corner up to reach the center point (where the two diagonal creases intersect).

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  • By following across and down to where the month and age intersect, the mother will find either a box containing a B for boy or a G for girl.

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  • Since all of the cable car lines intersect in front of the hotel, The Fairmont is also just a ride away from the city's most popular attractions.

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  • The basic shape, however, is a Latin cross, or crucifix, with a circle around the area where the lines intersect.

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  • When Apple announced the iPod nano 6G, I took one look at it and knew that this was where the two worlds I love can intersect."

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  • The cone marking the top of the vertical line should intersect the horizontal line at its center.

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  • The paths of Marcus, Selene, and Michael intersect when Marcus discovers Michael holds the key to William's tomb and Selene is the only remaining being who knows the whereabouts of the imprisoned werewolf.

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  • A twist on this trope is found in the NBC television series Chuck where the main character becomes the human computer known as Intersect, and must struggle against the Intersect’s ability to overwhelm his mind.

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  • The central zone includes Hejaz (or Hijaz), Nejd and El Hasa; much of it is a dry, stony or sandy steppe, with few wells or watering-places, and only occupied by nomad tribes; but the great wadis which intersect it contain many fertile stretches of alluvial soil, where cultivation is possible and which support a considerable settled population, with several large towns and numerous villages.

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  • The soft shales or clays of the hills bounding the valley render these hills especially subject to the action of denudation, and the result, in rounded slopes and easily accessible crests, determines the nature of the easy tracks and passes which intersect them.

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  • Two canals, the Oude and the Nieuwe Gracht, intersect the town from end to end.

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  • Two spheres intersect in a plane, and the equation to a system of spheres which intersect in a common circle is x 2 + y 2 + z 2 +2Ax -fD = o, in which A varies from sphere to sphere, and D is constant for all the spheres, the plane yz being the plane of intersection, and the axis of x the line of centres.

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  • Obviously these equations show that the curves intersect in four points, two of which lie on the intersection of the line, 2 (g - g')x +2 (f - f')y+c - c'=o, the radical axis, with the circles, and the other two where the lines x2+y2= (x+iy) (x - iy) =o (where i = - - I) intersect the circles.

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  • LoveToKnow Swimsuits was lucky enough to talk to CEO Houman Salem about swimwear, lingerie, lifestyles and how they all intersect at Forplay.

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  • Sauvage Swimwear is all about fashion, glamour, and how the two intersect at the beach.

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  • Numerous canals intersect the district, affording ample means of irrigation.

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  • We may observe that the asymptotes intersect this circle in the same points as the directrices.

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  • The greater part of the country is hilly and irregular, though there are considerable plains; but besides Rhodope two other tolerably definite chains intersect it, one of which descends from Haemus to Adrianople, while the other follows the coast of the Euxine at no great distance inland.

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  • In these thoroughfares and in several of the streets which intersect them are the offices of the mining companies, the banks, clubs, newspaper offices, hotels and shops, the majority being handsome stone or brick buildings, while the survival of some wooden shanties and corrugated iron buildings recalls the early character of the town.

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  • Deep gorges, through which tributaries of the Chorokh force their passage to the main river, intersect these highlands, forming most picturesque gorges.

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  • The equation x 2 +y 2 =o denotes a pair of perpendicular imaginary lines; it follows, therefore, that circles always intersect in two imaginary points at infinity along these lines, and since the terms x 2 +y 2 occur in the equation of every circle, it is seen that all circles pass through two fixed points at infinity.

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  • These equations show that the circles touch where they intersect the lines x 2 +y 2 = o, i.e.

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  • 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.

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  • Electric tramways intersect the town, and are continued for 3 m.

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  • At its northern edge, where the waterless forest tract of the Bhabar ends, a series of springs burst from the surface, and these, increasing and uniting in their progress, form the numerous streams that intersect the Tarai.

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  • The existence of this route, which traverses the Darwaz mountains from east to west, cutting off the northern bend of the Oxus, and connecting those easterly routes which intersect the Pamirs by means of the Ghund and Shakhdara (and which concentrate about Lake Shiwa) with Kolab in eastern Bokhara, is important.

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  • A number of gold reefs intersect the surrounding district and in some of the reefs gold is mined.

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  • In 1754 Prome was besieged by the king of Pegu, who was again defeated by Alompra, and the war was transferred from the upper provinces to the mouths of the navigable rivers, and the numerous creeks and canals which intersect the lower country.

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  • These coils are placed with their axes at right angles to one another, and at the point where the axes intersect a small pivoted needle of soft iron is placed, carrying a longer index needle moving over a scale.

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  • If funiculars be drawn for two positions 0,0 of the pole in the force-diagram, their corresponding sides will intersect on a straight line parallel to 00.

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  • The points where axes intersect the plane of section are called centres; the point where the line of contact intersects it, the poini of contact, or pitch-point; and the wheels are described as circular, elliptical, &c., according to the forms of their sections made by that plane.

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  • Again, imagin d fixed, then the instantaneous centre Obd of b with regard n d is found by producing the links c and a to intersect in Obd and the shapes of the centroids belonging respectively to thi links Ii and d can be found as before.

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  • Draw Pp and Qq touching both catenaries, Pp and Qq will intersect at T, a point in the directrix; for since any catenary with its directrix is a similar figure to any other catenary with its directrix, if the directrix of the one coincides with that of the other the centre of similitude must lie on the common directrix.

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  • With the same feeling with which he had galloped across the path of a wolf, Rostov gave rein to his Donets horse and galloped to intersect the path of the dragoons' disordered lines.

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  • Calling the sum of the pressure and potential head the statical head, surfaces of constant statical and dynamical head intersect in lines on H, and the three surfaces touch where the velocity is stationary.

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  • On the terraces the streets generally intersect at right angles, but on the hills their directions are irregular.

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  • Slates properly so-called do not, except on rare occasions, split along the bedding, but along planes of cleavage, which intersect the bedding usually at high angles.

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  • Four small streams - the Sagarmati, Saraswati, Khari and Dai - also intersect the district.

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  • This catenoid, however, is in stable equilibrium only when the portion considered is such that the tangents to the catenary at its extremities intersect before they reach the directrix.

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  • Hence the tangents at A and B to the upper catenary must intersect above the directrix, and the tangents at A and B to the lower catenary must intersect below the directrix.

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  • Such a rule of the two diameters not only guides us toward the sun in the system and the heart in man, but draws lines through the length and breadth of the aggregate of a man's particular daily behaviors and waves of life into his coves and inlets, and where they intersect will be the height or depth of his character.

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  • But in many parts deep transverse valleys intersect the prevailing direction of the ridges, and facilitate the passage of man, plants and animals, as well as of currents of air which mitigate the contrast that would otherwise be found between the climates of the opposite slopes.

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  • Does one group include, or exclude, or intersect another with which it is compared ?

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  • It bears a strong resemblance to a Dutch town, for the houses are built in the style of those of Amsterdam, and the narrow channel separating it from its western suburb of Overzijde and the waters of the Waigat, which intersect it, recall the canals.

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  • A tunnel differs from a drift in that it is driven across the strata to intersect the deposit.

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