## 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. - 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. - 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. - If the
**tangent**at P meets the asymptotes in R, R', then CR.CR' = CS 2. - 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. - Reverse curves are compound curves in which the components are of contrary flexure, like the letter S; strictly the term is only applicable when the two portions follow directly one on the other, but it is sometimes used of cases in which they are separated by a "
**tangent**" or portion of straight line. - 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. - 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. - 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. - 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. - 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. - 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. - (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). - 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. - 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. - 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. - 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. - 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. - - Dispart and
**Tangent**Sights. - D is the dispart sight, S the
**tangent**sight, A'DS the clearance angle. - 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. - 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. - 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. - 4 the
**tangent**sight has been raised from 0 to S, the line of. - 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. - In practice,
**tangent**sights were graduated graphically from large scale drawings. **Tangent**sights were not much trusted at first.- - Theory of
**Tangent**Sight. - Amount of left deflection given - the amount can easily be determined thus: The height of
**tangent**scale for any degree of elevation is given with sufficient accuracy by the rough rule for circular measure It= X 1200 where a is the angle of elevation in minutes, h the height 3 of the**tangent**scale, and R the sighting radius; thus for 10 h _ 60 X R _ 2.0 Now supposing the sight is inclined I° to the left, 3600 - which will move the notch from H to H' (see fig. - 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. - The
**tangent**sight was graduated in yards as well as degrees and had also a fuze scale. - - Laying by Full
**tangent**sight, the point of the fore g y sight and the target must be in line " Sight. - Since the early days of rifled guns
**tangent**sights have been improved in details, but the principles remain the same. - 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. - 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 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 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. - 17) was placed above the leaf of the
**tangent**sight, and in some cases on the fore-sight as well, to facilitate laying for line. - 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. - 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. - 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.