# Tangent Sentence Examples

- The distance of the lucid points was the
**tangent**of the magnified angles subtended by the stars to a radius of io ft. **Tangent**sights were not much trusted at first.- 4 the
**tangent**sight has been raised from 0 to S, the line of. - With the exception of the addition of a pin-hole to the
**tangent**sight and cross wires to the fore-sight, and of minor improvements, and Field of the introduction of French's crossbar sight and the artillery reciprocating sight, of which later, no great advance was sights. - The
**tangent**sight was graduated in yards as well as degrees and had also a fuze scale. - The intrinsic equation, expressing the relation between the arc 0- (measured from 0) and the inclination 4) of the
**tangent**at any points to the axis of x, assumes a very simple form. - In practice,
**tangent**sights were graduated graphically from large scale drawings. - The normal method of laying these is from the fore-sight over the
**tangent**sight to a point in rear. - The leaf of the fore-sight has a pinhole, and that of the
**tangent**sight cross-wires for fine reverse laying. - Fore-sights are made right and left;
**tangent**sights are interchangeable, the graduations are cut on the horizontal edges above and below, so that the sight can be changed from right to left or vice versa by removing and reversing the bar. - The
**tangent**scale moved freely in a socket fixed to the gun; its lower end rested on one of the cams, cut to a correct curve. - If the
**tangent**at P meets the asymptotes in R, R', then CR.CR' = CS 2. - The curve thus constructed should be a straight line inclined to the horizontal axis at an angle 0, the
**tangent**of which is 1.6. - Phil.): - Let x, y, z be the coordinates of P in the orbit,, r t, those of the corresponding point T in the hodograph, then dx dy _ dz c= ' 71 - a' - at therefore Also, if s be the arc of the hodograph, ds = v = V V1 1) j dt + (dt2) dt Equation (1) shows that the
**tangent**to the hodograph is parallel to the line of resultant acceleration, and (2) that the velocity in the hodograph is equal to the acceleration. - (io) The velocity q is zero in a corner where the hyperbola a cuts the ellipse a; and round the ellipse a the velocity q reaches a maximum when the
**tangent**has turned through a right angle, and then q _ (Ch 2a-C0s 2(3). - Accordingly for a given ellipsoid the surface density of free distribution of electricity on it is everywhere proportional to the the
**tangent**e plane e att that point. - The diameter of a quadric surface is a line at the extremities of which the
**tangent**planes are parallel. - 9) by the
**tangent**screw f, acting on a small toothed wheel clamped to the rod connected with the driving pinion, there was apt to be a torsion of the rod rather than an immediate action. - This wheel is acted on by a
**tangent**screw whose bearings are attached to the cradle; the screw is turned by means of a handle supported by bearings attached to the cradle, and coming within convenient reach of the observer's hand. - The slowest speed is given by means of a
**tangent**screw which is carried by a ball-bearing on the flange of the telescope sleeve, whilst its nut is double-jointed to a ring that encircles the flange of the heliometer-tube. - - Dispart and
**Tangent**Sights. - It was not, however, till 1829 that a
**tangent**sight (designed by Major-General William Millar) was introduced into the navy; this was adopted by the army in 1846. - I it will be seen that in order to strike T the axis must be directed to G' at a height above T equal to TG, while the line of sight or line joining the notch of the
**tangent**sight and apex of the dispart or foresight must be (/ ?` directed on T. - Now the height to which the
**tangent**sight has been raised in order to direct the axis on G' is evidently proportional to the**tangent**of the angle OMS =AXS. - The formula for length of scale is, length = sighting radius X
**tangent**of the angle of elevation. - - Theory of
**Tangent**Sight. - - Laying by Full
**tangent**sight, the point of the fore g y sight and the target must be in line " Sight. - Except for some minor differences the
**tangent**sights were the same for all natures of guns, and for all services, but the development of the modern sight has followed different lines according to the nature and use of the gun, and must be treated under separate heads. - 19) represent a gun at height BD above water-level DC, elevated to such an angle that a shot would strike the water at C. Draw EB parallel to DC. It is clear that under these conditions, if a
**tangent**sight AF be raised to a height F representing the elevation due to the range BC, the object C will be on the line of sight. - In subsequent patterns all the deflection was given on the
**tangent**sight, which was provided with two scales, the upper one graduated in knots for speed of ship, and the lower one in degrees. - Draw the
at A and B, meeting at T; draw TV parallel to the axis of the parabola, meeting the arc in C and the chord in V; and M draw the**tangents****tangent**at C, meeting AT and BT in a and b. - The fact that C 1 does not give the true area is due to the fact that in passing from one extremity of the top of any strip to the other extremity the
**tangent**to the trapezette E, _- changes its direction. - Fermat and Descartes agreed in regarding the
**tangent**to a curve as a secant of that curve with the two points of intersection coinciding, while Roberval regarded it as the direction of the composite movement by which the curve can be described. - Between the Andamans and Cape Negrais intervene two small groups, Preparis and Cocos; between the Andamans and Sumatra lie the Nicobar Islands, the whole group stretching in a curve, to which the meridian forms a
**tangent**between Cape Negrais and Sumatra; and though this curved line measures 700 m., the widest sea space is about 91 m. - The cartesian equation is x = ti' (c2-y'")+ 2c log [{c-?/ (c.2- y2)}/{c+?i (c2+y2)il, and the curve has the geometrical property that the length of its
**tangent**is constant. - The width of each of the portions aghc and acfe cut away from the lens was made slightly greater than the focal length of lens X
**tangent**of sun's greatest diameter. - Here, in order to fulfil the purposes of the previous models, the distance of the centres of the lenses from each other should only slightly exceed the
**tangent**of sun's diameter X focal length of lenses. - With similar bevel-gear and rods the
**tangent**screw is connected to the hand-wheel, 79, by which the observer communicates the fourth or slowest motion in position angle. - D is the dispart sight, S the
**tangent**sight, A'DS the clearance angle. - As the
**tangent**sight was placed in the line of metal, hence directly over the cascable, very little movement could be given to it, so that a second sight was required for long ranges. - Other improvements were: the gun was sighted on each side,
**tangent**scales dropping into sockets in a sighting ring on the breech, thus enabling a long scale for all ranges to be used, and the foresights screwing into holes or dropping into sockets in the trunnions, thus obviating the fouling of the line of sight, and the damage to FIG. - Since the early days of rifled guns
**tangent**sights have been improved in details, but the principles remain the same. - The disadvantages that still remain are that the sight has to be removed every time the gun is fired, and the amount of deflection is limited and has to be put on the reverse way to that on a
**tangent**scale. - The
**tangent**at any point bisects the angle between the focal distances of the point, and the normal is equally inclined to the focal distances. - The smoothest and safest running is, in fact, attained when a " transition," " easement " or " adjustment " curve is inserted between the
**tangent**and the point of circular curvature. - They consist of a long rectangular building, with a proscenium or column front which almost forms a
**tangent**to the circle of the orchestra; at the middle and at either end of this proscenium are doors leading into the orchestra, those at the end set in projecting wings; the top of the proscenium is approached by a ramp, of which the lower part is still preserved, running parallel to the parodi, but sloping up as they slope down. - That at any point the
**tangent**to the hodograph is parallel to the direction, and the velocity in the hodograph equal to the magnitude of the resultant acceleration at the corresponding point of the orbit. - Putting (12) a vortex line is defined to be such that the
**tangent**is in the direction of w, the resultant of, n, called the components of molecular rotation. - This mass is equal to 47rabcp,u; therefore Q = A47rabcp s and b =pp, where p is the length of the perpendicular let fall from the centre of the ellipsoid on the
**tangent**plane. - All from thhiseweecan of determine the capacity of the ellipsoid as follows: Let p be the length of the perpendicular from the centre of the ellipsoid, whose equation is x 2 /a 2 -1-y2/b2 -1-,2c2 = i to the
**tangent**plane at x, y, z. - Could be done by noting the amount of deflection for each range and applying it by means of a sliding leaf carrying the notch, and it is so done in howitzers; in most guns, however, it is found more convenient and sufficiently accurate to apply it automatically by inclining the socket through which the
**tangent**scale rises. - 16) is that the
**tangent**sight has a steel horizontal bar which can slide through the head of the**tangent**scale for deflection, and is graduated for 3° left and 1 ° right deflection. - The advantages compared with a
**tangent**sight are that only half the movement is required to raise the sight for any particular range; the ranges on the drum are easier to read, and if necessary can be set by another man, so that the layer need not take his eye from the telescope. - In the navy the conditions of an unstable platform rendered quadrant elevation of little use, and necessitated a special pattern of
**tangent**sight to facilitate firing the moment the roll of the ship brought the sights on the target. - Over the ellipsoid, p denoting the length of the perpendicular from the centre on a
**tangent**plane, px _ pv _ _ pz 1= a2+X' b +A' n c2+A p2x2 + p2y2 p2z2 I (a2 - + X)2 (b 2 +x)2 + (0+X)2, p 2 = (a2+A)12+(b2+X)m2+(c2+X)n2, = a 2 1 2 +b 2 m 2 +c 2 n 2 +X, 2p d = ds; (8) Thence d?