angle

i. & t. [From the substantive. In Dan. angle; Dut. hengelen; Ger. angeln.] IMG:content-0529.png:[blocks in formation] "But angled in the higher pool." Tennyson: The Miller's Daughter. 2. Fig .: To attempt to gain human hearts by the use of tempting bait of one kind or other. "She knew her distance, and did angle for me, Madding my eagerne with her restraint." Shakesp. All's Well that Ends Well, v. 3. + B. Transitive : 1. To fish for (as with rod and line). "If he spake courteously, he angled the people's hearts: if he were silent, he mused upon some dangerous plot."-Sidney. 2. To allure, to draw. "You have angled me on with much pleasure to the Thatch'd House. Walton: Compl. Angler , ch. 1. ăn'-gle (2), 3. [In Fr. angle; Sp. and Port. angulo ; Ital. angolo from Lat. angulus = an angle, a corner; Gr. ἀγκύλος ( angkulos ) = crooked. In Wel. ongle is an angle. Cognate with A.S. angel , angila hook (see ANGLE, No. 1); Teut. ang or eng a narrow strip.] A. Ordinary Language: The opening between two lines which meet one another; a corner, as of a room. "For, where the rock and wall Words worth Excursion, bk. ii. Met in an angle , hung a tiny roof." B. Technically: The inclination of two lines to one another. 1. Geometry. Angles may be ranked under two leading divisions, plane and solid angles. A plane angle is the inclination of two lines to one another in a plane, which two lines meet together, but are not in the same straight line. [PLANE.] A solid angle is that which is made by the meeting in one point of more than two plane angles, which, however, are not in the same plane. [SOLID.] Each of the leading divisions, plane and solid angles, may again be subdivided into rectilineal , curvilinear , and mired angles. A plane rectilineal angle is the inclination to each other of two straight lines, whien meet together, but are not in the same straight line (Fig. 1). A curvilinear angle is the inclination to each other of two curved lines, which meet in a point (Fig. 2). A mixed angle is one formed by the meeting of a curve and a straight line (Fig. 3). A Fig. 1. Angles are measured by arcs (Fig. 4, M N, PQ), and it is immaterial IMG:content-0530.png:[blocks in formation] with what radius the latter are described. The result is generally stated in degrees, minutes, and seconds, '"; thus-36° 14′ 23" 36 degrees, 14 minutes, and 23 seconds. When an angle is Fig. 2. Fig. 3. isolated from other angles, M P it may be named by a single letter, as a (Figs. 1 to 4); but when two or more angles meet at one point they are named by three letters, never by one or two. In such cases the letter at that point is always named in the middle. Thus, in Fig. 5 there are two angles, the first of which may be named indifferently в слог ACB, but not BAC; and the second DCA or a CD, but not CA D. The point at which the lines forming the angle N Fig. 4. A meet is called the angular point , or the vertex of the angle, and the lines themselves the sides or legs of the angle. In Figs. 1, 2, and 3, A is the angular point of the respective angles, the legs or sides being unlettered. In Fig. 5, cis the angular point, and в с, A C, and CD, or CB, CA, and DC are the sides or legs. A IMG:content-0531.png:[blocks in formation] the two adjacent angles (those on the right and left of it) equal to one another, each of them is called a right angle. An oblique angle is one which is not a right angle. An obtuse angle is that which is greater than one right angle, but le than two. An acute angle is that which is le than a right angle: both IMG:content-0532.png:[blocks in formation] vilinear and mixed angles. Thus, in Figs. 2 and 3, A is an acute angle. A spherical angle is one formed by the intersection or the meeting of two great circles of a sphere. Many other designations are applied to angles; thus, in Geometry there are opposite , exterior , interior , alternate, vertical , and other angles, also angles of contact , . (See the italicised words.) 2. Mech . In this science there are angles of direction, of friction , of repose , . 3. Optics has angles of incidence , of reflection, of refraction , of deviation , of polarisation , . 4. Astronomy has angles of position , of situa tion , of elevation , inclination , depre ion, . (For these see the italicised words with which angle is combined.) 5. Fortification . Dead Angle : An angle so formed that a small plet of ground in front of it can neither be seen nor defended from the parapet. 6. Anatomy. The angle of the jaw is the point at which the vertical hinder edge of the ramus, descending from the condyle, meets the horizontal inferior border. ( Flower : Osteol. of the Mammal i a , 1870, p. 122.) Facial Angle . [FACIAL.] angle-bar, s. Joinery: A vertical bar at one of the angles of a polygonally-shaped window.