In projective geometry it may be defined as the conic which intersects the line at infinity in two real points, or to which it is possible to draw two real tangents from the centre.
Tsaritsyn is the terminus of a railway which begins at Riga and, running south-eastwards, intersects all the main lines which radiate from Moscow to the south.
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.
The principal river is the Trent, which, rising in the Staffordshire moorlands, intersects the southern part of Derbyshire, and forms part of its boundary with Leicestershire.
These orthodromic distances are of course shorter than those measured along a loxodromic line, which intersects all parallels at the same angle.
His intention was to occupy a strong position and fight one general action for the possession of Moscow, and to this end he selected the line of the Kalatscha where the stream intersects the great Moscow road.
(9) At the point where a line of force intersects the perpendicular bisector of the axis r=r'=r o, say, and cos 0 - cos 0 obviously =l/r o, l being FIG.
This correction may be indicated in the diagram by a straight line drawn from o through the point at which the line of I = moo intersects that of H = o 28 (Rayleigh, Phil.
La Traverse, a fine boulevard, intersects the town from north to south.
The explanation of these recurring phenomena is that a great cloud or distended stream of meteors revolves around the sun in a period of 331years, and that one portion of the elliptical orbit intersects that of the earth.
This gap, which completely intersects the Ghats, is about 20 m.
Without pausing to fire, the men raced onward, but the French striking their outer wing rolled up the whole line in succession, the actual collision occurring in and near the Bruville ravine, a deep-cut natural trench which, starting from the Tronville copses, here intersects the plateau from west to east.
Douai is situated in a marshy plain on the banks of the Scarpe which intersects the town from south to north, and supplies water to a canal skirting it on the west.
It is in shape an irregular parallelogram, divided into two nearly equal parts by the range of the Eastern Ghats, which intersects it throughout its entire length.
To extend these methods to a briquette, where the ordinate u is an algebraical function of x and y, the axes of x and of y being parallel to the sides of the base, we consider that the area of a section at distance x from the plane x = o is expressed in terms of the ordinates in which it intersects the series of planes, parallel to y=o, through the given ordinates of the briquette (§ 44); and that the area of the section is then represented by the ordinate of a trapezette.
The Leeds and Liverpool Canal intersects the township. There are large collieries, ironworks, forges, railway wagon works, and cotton mills.
In astronomy, the "celestial equator" is the name given to the great circle in which the plane of the terrestrial equator intersects the celestial sphere; it is consequently equidistant from the celestial poles.
The general equation to the circle in trilinear co-ordinates is readily deduced from the fact that the circle is the only curve which intersects the line infinity in the circular points.
To construct circles coaxal with the two given circles, draw the tangent, say XR, from X, the point where the radical axis intersects the line of centres, to one of the given circles, and with centre X and radius XR describe a circle.
In the case of non-intersecting circles, it is seen that the minimum circles of the coaxal system are a pair of points I and I', where the orthogonal circle to the system intersects the line of centres; these points are named the " limiti,ng points."
Of the Chulym, a tributary of the Ob, intersects the Siberian railway at Krasnoyarsk, and is joined first by the Kan and then by the Upper (Verkhnyaya), the Stony (Podkamennaya), and the Lower (Nizhnyaya) Tunguzka, all from the right.
In addition there are the following secondary streams: the Kalinadi and the Hindan flow through the Doab; the Chambal intersects the trans-Jumna tract; in Bundelkhand the principal streams are the Betwa and the Ken; the Ramgana, rising in Garhwal, pursues a tortuous course through Rohilkhand; the Gumti flows past Lucknow and Jaunpur to join the Ganges; the trans-Gogra region is divided into two nearly equal parts by the Rapti.
The axis of the member xQ+x'Q' of the second-order complex Q, Q' (where Q=nq+wr, Q'=nq'+wr' and x, x' are scalars) is parallel to a fixed plane and intersects a fixed transversal, viz.
The line parallel to q' q-- 1 which intersects the axes of Q and Q'; the plane of the member contains a fixed line; the centre is on a fixed ellipse which intersects the transversal; the axis is on a fixed ruled surface to which the plane of the ellipse is a tangent plane, the ellipse being the section of the ruled surface by the plane; the ruled surface is a cylindroid deformed by a simple shear parallel to the transversal.
The Ganges canal intersects the district, and serves both for irrigation and navigation.
If the polygon intersects itself, care must be taken to attribute to the different parts of the area their proper signs.
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.
128, be a section of the bearing, and C its axis; then the direction of the reaction, at the point where it intersects the circle AAA, must make the angle ~
A focussing screen, intersects the ray passing through the middle of the stop. This assumption is justified if a poor image on the focussing screen remains stationary when the aperture is diminished; in practice, this generally occurs.
9) can be defined by the co-ordinates (E, n) of this point 0 in an object plane I, at right angles to the axis, and two other co ordinates (x, y), the point in which the ray intersects the entrance pupil, i.e.
Above sea-level, on both banks of the navigable Spree, which intersects it from S.E.
The course intersects the so-called Devil's Ditch or Dyke (sometimes also known as St Edmund's Dyke), an earthwork consisting of a ditch and mound stretching almost straight for 5 m.
It is navigable from its mouth as far as Rendsburg, which is on the Kaiser Wilhelm (Kiel-Elbe) canal, which intersects Holstein.
The railway from Frankfort-on-Main to Oberlahnstein skirts the south and west foot of the range, that from Frankfort to Cassel the eastern side, while the line from Wiesbaden and Hochst to Limburg intersects it from south to north.
This plane intersects the earth's surface in the terrestrial equator.
The ecliptic intersects the celestial equator at two opposite points, the equinoxes, at an angle of 23° 27'.
I, the initial line OX is defined as directed toward the vernal equinox, at which point it intersects the celestial sphere.
Other geometrical definitions are: it is the oblique projection of a circle; the polar reciprocal of a circle for a point within it; and the conic which intersects the line at infinity in two imaginary points.
It then presents a nearly vertical wedge-shaped form, the base of which extends 15° or 20° on each side of the point at which the ecliptic intersects the horizon.
CONIC SECTION, or briefly Conic, a curve in which a plane intersects a cone.
Is projected depends upon the relation of the "vanishing line" to the circle; if it intersects it in real points, then the projection is a hyperbola, if in imaginary points an ellipse, and if it touches the circle, the projection is a parabola.
The line at infinity intersects the hyperbola in real points, the ellipse in imaginary points, and the parabola in coincident real points.
The points in which the cutting plane intersects the sides of the triangle are the vertices of the curve; and the line joining these points is a diameter which Apollonius named the latus transversum.
It follows that if the points in which this axis intersects the earth's surface, i.e.