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Geometry, including Trigonometry and Conic Sections. 3. Analysis, in which letters are used, including Algebra, Analytical Geometry, and Calculus. Each of these divisions is divided into pure or abstract, which considers magnitude or quantity abstractly, without relation to matter; and mixed or applied, which treats of…

The doctrine of polygons; an extension of some of the principles of trigonometry to the case of polygons.

a function whose values recur at fixed intervals as the variable uniformly increases. The trigonomertic functions, as sin x, tan x, etc., are periodic functions. Exponential functions are also periodic, having an imaginary period, and the elliptic functions have not only a real but an imaginary period, and are hence ca…

r end; the number expressing the ratio line of this line to the radius of the circle. See Trigonometrical function, under Function.

a right-angled triangle, the side opposite the given angle divided by the hypotenuse. See Trigonometrical function, under Function. -- Versed sine, that part of the diameter between the sine and the arc.

ry, Crystalline,. -- Doctrine of the sphere, applications of the principles of spherical trigonometry to the properties and relations of the circles of the sphere, and the problems connected with them, in astronomy and geography, as to the latitudes and longitudes, distance and bearing, of places on the earth, and the…

ere, bounded by the arcs of three great circles which intersect each other. -- Spherical trigonometry. See Trigonometry. -- Spher"ic*al*ly, adv. -- Spher"ic*al*ness, n.

other magnitudes of a sphere, produced by planes intersecting it; spherical geometry and trigonometry.

of linear and angular measurments, and the application of the principles of geometry and trigonometry; as, to survey land or a coast.

ven line being, for example, the axis of abscissas, or a radius of a circle produced. See Trigonometrical function, under Function. Artificial, or Logarithmic, tangent, the logarithm of the natural tangent of an arc. -- Natural tangent, a decimal expressing the length of the tangent of an arc, the radius being reckone…

An instrument used, especially in trigonometrical surveying, for the accurate measurement of horizontal angles, and also usually of vertical angles. It is variously constructed.

A trigonal trisoctahedron.

work of triangles into which the face of a country, or any portion of it, is divided in a trigonometrical survey; the operation of measuring the elements necessary to determine the triangles into which the country to be surveyed is supposed to be divided, and thus to fix the positions and distances of the several point…

The aspect of planets distant from each other 120 degrees, or one third of the zodiac; trigon. In sextile, square, and trine. Milton.

Three sided, the sides being plane or concave; having three salient angles or edges; trigonal.

ach face of which is a quadrilateral; called also trapezohedron and icositetrahedron. -- Trigonal trisoctahedron, a trisoctahedron each face of which is an isosceles triangle.

ter side in upper and to the inner in lower molars. This primitive triangle is called the trigon or trigonid and this stage the tritubercular or trigonodont. The trigon being a cutting apparatus, an extension of the posterior part of the crown was developed in lower molars for crushing, and a smaller corresponding part…