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Homography :: Homography (n.) A relation between two figures, such that to any point of the one corresponds one and but one point in the other, and vise versa. Thus, a tangent line rolling on a circle cuts two fixed tangents of the circle in two sets of points that are homographic..

Lemniscate :: Lemniscate (n.) A curve in the form of the figure 8, with both parts symmetrical, generated by the point in which a tangent to an equilateral hyperbola meets the perpendicular on it drawn from the center..

Bitangent :: Bitangent (n.) A line that touches a curve in two points.

Tangency :: Tangency (n.) The quality or state of being tangent; a contact or touching.

Touch :: Touch (v. t.) To be tangent to. See Tangent, a..

Secant :: Secant (a.) A right line drawn from the center of a circle through one end of a circular arc, and terminated by a tangent drawn from the other end; the number expressing the ratio line of this line to the radius of the circle. See Trigonometrical function, under Function..

Semitangent :: Semitangent (n.) The tangent of half an arc.

Helix :: Helix (n.) A nonplane curve whose tangents are all equally inclined to a given plane. The common helix is the curve formed by the thread of the ordinary screw. It is distinguished from the spiral, all the convolutions of which are in the plane..

Tangent :: Tangent (a.) meeting a curve or surface at a point and having at that point the same direction as the curve or surface; -- said of a straight line, curve, or surface; as, a line tangent to a curve; a curve tangent to a surface; tangent surfaces..

Synclinal :: Synclastic (a.) Curved toward the same side in all directions; -- said of surfaces which in all directions around any point bend away from a tangent plane toward the same side, as the surface of a sphere; -- opposed to anticlastic..

Tangental :: Tangental (a.) Tangential.

Indicatrix :: Indicatrix (n.) A certain conic section supposed to be drawn in the tangent plane to any surface, and used to determine the accidents of curvature of the surface at the point of contact. The curve is similar to the intersection of the surface with a parallel to the tangent plane and indefinitely near it. It is an ellipse when the curvature is synclastic, and an hyperbola when the curvature is anticlastic..

Sector :: Sector (n.) A mathematical instrument, consisting of two rulers connected at one end by a joint, each arm marked with several scales, as of equal parts, chords, sines, tangents, etc., one scale of each kind on each arm, and all on lines radiating from the common center of motion. The sector is used for plotting, etc., to any scale..

Curvature :: Curvature (n.) The amount of degree of bending of a mathematical curve, or the tendency at any point to depart from a tangent drawn to the curve at that point..

Cotangent :: Cotangent (n.) The tangent of the complement of an arc or angle. See Illust. of Functions.

Level :: Level (n.) A horizontal line or plane; that is, a straight line or a plane which is tangent to a true level at a given point and hence parallel to the horizon at that point; -- this is the apparent level at the given point..

Bitangent :: Bitangent (a.) Possessing the property of touching at two points.

Horizon :: Horizon (n.) A plane passing through the eye of the spectator and at right angles to the vertical at a given place; a plane tangent to the earth's surface at that place; called distinctively the sensible horizon.

Mesologarithm :: Mesologarithm (n.) A logarithm of the cosine or cotangent.

Tangent :: Tangent (v. t.) A tangent line curve, or surface; specifically, that portion of the straight line tangent to a curve that is between the point of tangency and a given line, the given line being, for example, the axis of abscissas, or a radius of a circle produced. See Trigonometrical function, under Function..

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