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intersect

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

18558The broad streets of the city intersect at right angles.

7636The broad streets of the city intersect at right angles.

7436The axes will not be parallel, nor will they intersect each other.

4122The axes will not be parallel, nor will they intersect each other.

4022intersect in the instantaneous centre.

3421These 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.

2822These 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.

2822The tunnel widened, and his pace slowed as he saw another tunnel intersect it.

2721They intersect regularly at right angles, dividing the town into square blocks, like modern Mannheim or Turin, according to a Roman system usual in both Italy and the provinces: plainly they were laid out all at once, possibly by Agricola (Tac. Agr.

2016- and nearly all intersect at right angles; they are paved with brick and asphalt, and many in the residential quarters are shaded with fine elms and maples.

1818Properties 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.

1413In 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.

1414The 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.

1414In 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.

1414In 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.

1415With 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.

1316These equations show that the circles touch where they intersect the lines x 2 +y 2 = o, i.e.

1317In obtaining the minor Aik in the form of a determinant we erased certain rows and columns, and we would have erased in an exactly similar manner had we been forming the determinant associated with A2:8, since the deleting lines intersect rk in two pairs of points.

1210Such 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.

1014We may observe that the asymptotes intersect this circle in the same points as the directrices.

79A number of gold reefs intersect the surrounding district and in some of the reefs gold is mined.

711Numerous canals intersect the district, affording ample means of irrigation.

610Electric tramways intersect the town, and are continued for 3 m.

610Paris is served by the Vandalia, and the Cleveland, Cincinnati, Chicago & St Louis (New York Central system) railways; the main line and the Cairo division of the latter intersect here, and the city is the transfer point for traffic from the E.

611The 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.

58These 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.

59Slates 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.

59With 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.

45The 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.

45Taking 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.

45The 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.

45If 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.

45Consider the case of two circles, and in the first place suppose them to intersect in two real points A and B.

45The 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.

45When 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.

45Taking 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.

45When 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.

45Two 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.

46Obviously 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.

46The 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.

48Deep gorges, through which tributaries of the Chorokh force their passage to the main river, intersect these highlands, forming most picturesque gorges.

48Two of the principal thoroughfares, Federal and Ohio streets, intersect at a central square, in which are the city hall, public library, post office and the marketplace; and surrounding the main business section on the E., N.

48The 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.

48intersect, the velocity ratio of the Ci - - - - -

48Again, 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.

48The 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.

48The 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.

35Two canals, the Oude and the Nieuwe Gracht, intersect the town from end to end.

35The 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.

35At 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.

36The 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.

37Naming the central ray passing through the entrance pupil the " axis of the pencil " or " principal ray," we can say: the rays of the pencil intersect, not in one point, but in two focal lines, which we can assume to be at right angles to the principal ray; of these, one lies in the plane containing the principal ray and FIG.

37Hence 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.

38Does one group include, or exclude, or intersect another with which it is compared ?

39It 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.

310The 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.

25If 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.

26Draw 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.

26This 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.

271), they intersect one another at different angles, producing an intricate network which it is almost impossible to reduce to any system.

28But 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.

28To find the ratio of these velocities, produce C1T~, C2T, till they intersect in K; K is the instantaneous axis of the connecting rod, and the velocity ratio is ci :v2 ::KTi :KT2.

28- the city is divided into these four parts by North Capitol, East Capitol and South Capitol streets, which intersect at the Capitol.

29A tunnel differs from a drift in that it is driven across the strata to intersect the deposit.

211On the terraces the streets generally intersect at right angles, but on the hills their directions are irregular.

16d o, dx dy dz dx dy dz so that, at any instant, the surfaces over which tk and m are constant intersect in the vortex lines.

17Calling 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.

17Four small streams - the Sagarmati, Saraswati, Khari and Dai - also intersect the district.

17In the latter case the sign is determined by -I raised to the same power as before, with the exception that Tux., replaces Tusk; but if one of these numbers be even the other must be uneven; hence A ik = - Aisï¿½ rk Moreover aik a,, aikarsAik +aisarkAis Aik, rk aik ars rs where the determinant factor is giyen by the four points in which the deleting lines intersect.

00Through 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.

00wide, the principal thoroughfares, intersect.

00At 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.

00The 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.

00A number of smaller streets intersect the Hauptstrasse at right angles and run down to the river,which is crossed by two fine bridges.

00Plucker 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.

00Lesser canals intersect the others radially, thus virtually dividing the city into a number of islands; whence it has been compared with Venice.

00The country which they thus enclose and intersect forms the delta of Bengal.

00The navigable streams which fall into the Ganges intersect the country in every direction and afford great facilities for internal communication.

00Steep 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.

00and S., intersect; from this point buildings on these two streets are numbered N., S., E.

00Consider 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.

00And 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.

00There will be from each circular point X tangents (X, a number depending on the class of the curve and its relation to the line infinity and the circular points, 2 for the general conic, 1 for the parabola, 2 for a circular cubic, or bicircular quartic, &c.); the X tangents from the one circular point and those from the other circular point intersect in X real foci (viz.

00taking P, P' as the corresponding points in an (a, a') correspondence on a curve of deficiency D, and supposing that when P is given the corresponding points P' are found as the intersections of the curve by a curve o containing the co-ordinates of P as parameters, and having with the given curve k intersections at the point P, then the number of united points is a = a+a' +2kD; and more generally, if the curve 0 intersect the given curve in a set of points P' each p times, a set of points Q' each q times, &c., in such manner that the points (P,P') the points (P, Q') &c., are pairs of points corresponding to each other according to distinct laws; then if (P, P') are points having an (a, a') correspondence with a number=a of united points, (P, Q') points having a (0,0') correspondence with a number =b of united points, and so on, the theorem is that we have p(a-a-a')+q(b-(3-(')+ ...

00A 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.

00The streets intersect at right angles, are from 60 to 120 ft.

00If 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.

00In the south, the Lee and the Blackwater intersect the mountains of Kerry and Cork flowing east, and turn abruptly into estuaries opening south.

00The 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.

00Let this arc on the reverse side to P intersect a line through 0 parallel to the major axis in a point H.

00Let JO intersect the major axis in 0 1.

00It has 12 pentagonal faces, and 30 edges, which intersect in fives to form 12 vertices.

00The 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.

00It has 12 faces, which meet in 30 edges; these intersect in threes to form 20 vertices.

00Other 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.

00Good roads and byeways intersect it in every direction.

00Taramelli (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.

00An 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.

00The 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.

00The 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.

00The aberration of rays in which the outer rays intersect the axis at a shorter distance than the central rays is known as " undercorrection."

00A 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.

00The tunnel widened, and his pace slowed as he saw another tunnel intersect it.

00collinear points in the gradient image intersect in peaks in the Hough transform space.

00And where these two categories intersect, there lurks only one evil: video games.

00Although the hole did not intersect significant economic mineralization it did intersect three horizons of interest.

00intersect at the minimum point of the average cost curve.

00Such metabolic pathways are not linear but often intersect to form a complex network.

00You must not intersect more than two chords at the same point.

00The marginal cost curve must also intersect the average cost at its minimum.

00The boundaries of B - independent predicates not only intersect; they intersect wherever they have a point in common.

00Where Lines MO and NO intersect this semicircle read and values along the short curves on the scale of the inner semicircle.

00Simple algebraic operations are then used to intersect two spheres, or a line and a sphere.

00Numerous canals intersect the district, affording ample means of irrigation.

00Paris is served by the Vandalia, and the Cleveland, Cincinnati, Chicago & St Louis (New York Central system) railways; the main line and the Cairo division of the latter intersect here, and the city is the transfer point for traffic from the E.

00The 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.

00We may observe that the asymptotes intersect this circle in the same points as the directrices.

00These contours intersect the ground at a given distance above or below the level of the sea, and thus bound a series of horizontal planes (see fig.

001), they intersect one another at different angles, producing an intricate network which it is almost impossible to reduce to any system.

00When a cleavage flake of mica is struck a sharp blow with a blunt needle-point a six-rayed star of cracks or "percussion figure" is developed: the rays intersect at angles of approximately 60Ã‚°, and the pair most prominently developed are parallel to the plane of symmetry of the crystal.

00In obtaining the minor Aik in the form of a determinant we erased certain rows and columns, and we would have erased in an exactly similar manner had we been forming the determinant associated with A2:8, since the deleting lines intersect rk in two pairs of points.

00In the latter case the sign is determined by -I raised to the same power as before, with the exception that Tux., replaces Tusk; but if one of these numbers be even the other must be uneven; hence A ik = - AisÃ¯¿½ rk Moreover aik a,, aikarsAik +aisarkAis Aik, rk aik ars rs where the determinant factor is giyen by the four points in which the deleting lines intersect.

00Through 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.

00On 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).

00A tunnel differs from a drift in that it is driven across the strata to intersect the deposit.

00In 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.

00With 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.

00d o, dx dy dz dx dy dz so that, at any instant, the surfaces over which tk and m are constant intersect in the vortex lines.

00Calling 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.

00The 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.

00Several important roads intersect the province; among them are - I.

00Two canals, the Oude and the Nieuwe Gracht, intersect the town from end to end.

00The 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.

00These 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.

00If 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.

00Two 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.

00wide, the principal thoroughfares, intersect.

00On the terraces the streets generally intersect at right angles, but on the hills their directions are irregular.

00Slates 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.

00Properties 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.

00Deep gorges, through which tributaries of the Chorokh force their passage to the main river, intersect these highlands, forming most picturesque gorges.

00Obviously 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.

00The 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.

00These equations show that the circles touch where they intersect the lines x 2 +y 2 = o, i.e.

00Consider the case of two circles, and in the first place suppose them to intersect in two real points A and B.

00The 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.

00They intersect regularly at right angles, dividing the town into square blocks, like modern Mannheim or Turin, according to a Roman system usual in both Italy and the provinces: plainly they were laid out all at once, possibly by Agricola (Tac. Agr.

00Four small streams - the Sagarmati, Saraswati, Khari and Dai - also intersect the district.

00The 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.

00Electric tramways intersect the town, and are continued for 3 m.

00At 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.

00But 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.

00- and nearly all intersect at right angles; they are paved with brick and asphalt, and many in the residential quarters are shaded with fine elms and maples.

00At 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.

00The 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.

00It 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.

00Two of the principal thoroughfares, Federal and Ohio streets, intersect at a central square, in which are the city hall, public library, post office and the marketplace; and surrounding the main business section on the E., N.

00The 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.

00duced by euclidian methods from the definition include the following: the tangent at any point bisects the angle between the focal distance and the perpendicular on the directrix and is equally inclined to the focal distance and the axis; tangents at the extremities of a focal chord intersect at right angles on the directrix, and as a corollary we have that the locus of the intersection of tangents at right angles is the directrix; the circumcircle of a triangle circumscribing a parabola passes through the focus; the subtangent is equal to twice the abscissa of the point of contact; the subnormal is constant and equals the semilatus rectum; and the radius of curvature at a point P is 2 (FP) 4 /a 2 where a is the semilatus rectum and FP the focal distance of P.

00Does one group include, or exclude, or intersect another with which it is compared ?

00- the city is divided into these four parts by North Capitol, East Capitol and South Capitol streets, which intersect at the Capitol.

00If these sides intersect, the resultant acts through the intersection, and its magnitude and direction are given by the line joining the first and last sides of the force-polygon (see fig.

00If 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.

00The 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.

00intersect, the velocity ratio of the Ci - - - - -

00To find the ratio of these velocities, produce C1T~, C2T, till they intersect in K; K is the instantaneous axis of the connecting rod, and the velocity ratio is ci :v2 ::KTi :KT2.

00intersect in the instantaneous centre.

00Again, 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.

00A number of gold reefs intersect the surrounding district and in some of the reefs gold is mined.

00Naming the central ray passing through the entrance pupil the " axis of the pencil " or " principal ray," we can say: the rays of the pencil intersect, not in one point, but in two focal lines, which we can assume to be at right angles to the principal ray; of these, one lies in the plane containing the principal ray and FIG.

00This 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.

00Draw 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.

00Hence 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.

00The 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.

00A number of smaller streets intersect the Hauptstrasse at right angles and run down to the river,which is crossed by two fine bridges.

00Plucker 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.

00Lesser canals intersect the others radially, thus virtually dividing the city into a number of islands; whence it has been compared with Venice.

00The country which they thus enclose and intersect forms the delta of Bengal.

00The navigable streams which fall into the Ganges intersect the country in every direction and afford great facilities for internal communication.

00Steep 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.

00and S., intersect; from this point buildings on these two streets are numbered N., S., E.

00Consider 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.

00And 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.

00There will be from each circular point X tangents (X, a number depending on the class of the curve and its relation to the line infinity and the circular points, 2 for the general conic, 1 for the parabola, 2 for a circular cubic, or bicircular quartic, &c.); the X tangents from the one circular point and those from the other circular point intersect in X real foci (viz.

00taking P, P' as the corresponding points in an (a, a') correspondence on a curve of deficiency D, and supposing that when P is given the corresponding points P' are found as the intersections of the curve by a curve o containing the co-ordinates of P as parameters, and having with the given curve k intersections at the point P, then the number of united points is a = a+a' +2kD; and more generally, if the curve 0 intersect the given curve in a set of points P' each p times, a set of points Q' each q times, &c., in such manner that the points (P,P') the points (P, Q') &c., are pairs of points corresponding to each other according to distinct laws; then if (P, P') are points having an (a, a') correspondence with a number=a of united points, (P, Q') points having a (0,0') correspondence with a number =b of united points, and so on, the theorem is that we have p(a-a-a')+q(b-(3-(')+ ...

00A 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.

00The streets intersect at right angles, are from 60 to 120 ft.

00If 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.

00In the south, the Lee and the Blackwater intersect the mountains of Kerry and Cork flowing east, and turn abruptly into estuaries opening south.

00The 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.

00Let this arc on the reverse side to P intersect a line through 0 parallel to the major axis in a point H.

00Let JO intersect the major axis in 0 1.

00It has 12 pentagonal faces, and 30 edges, which intersect in fives to form 12 vertices.

00The 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.

00It has 12 faces, which meet in 30 edges; these intersect in threes to form 20 vertices.

00Other 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.

00Good roads and byeways intersect it in every direction.

00Taramelli (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.

00An 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.

00The 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.

00The 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.

00Through a suitable diaphragm in the back focal plane, banding can easily be produced in the image, which contains neither the vertical nor the horizontal lines of the two gratings, but there exist streaks, whose direction halves the angle under which the two gratings intersect (fig.

00The aberration of rays in which the outer rays intersect the axis at a shorter distance than the central rays is known as " undercorrection."

00The 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).

00A 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.

00Where Lines MO and NO intersect this semicircle read and values along the short curves on the scale of the inner semicircle.

00Simple algebraic operations are then used to intersect two spheres, or a line and a sphere.

00Then, simply place the most important parts of your subject where the lines intersect.

00It 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.

00A 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.

00As 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.

00As soon as your crosshairs intersect it, your gun will lock on to it.

00Then perpendicular lines are projected from these lines and the angle at which the lines intersect is measured.

00Fold the bottom corner up to reach the center point (where the two diagonal creases intersect).

00By 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.

00Since 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.

00LoveToKnow Swimsuits was lucky enough to talk to CEO Houman Salem about swimwear, lingerie, lifestyles and how they all intersect at Forplay.

00Sauvage Swimwear is all about fashion, glamour, and how the two intersect at the beach.

00A cross is, quite simply, a pair of lines that intersect each other at a 90º angle.

00The basic shape, however, is a Latin cross, or crucifix, with a circle around the area where the lines intersect.

00When 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."

00The cone marking the top of the vertical line should intersect the horizontal line at its center.

00The 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.

00A 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 word usage examples above have been gathered from various sources to reflect current and historial usage. They do not represent the opinions of YourDictionary.com.