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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.

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

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..

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..

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..

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

Shear :: Shear (v. t.) An action, resulting from applied forces, which tends to cause two contiguous parts of a body to slide relatively to each other in a direction parallel to their plane of contact; -- also called shearing stress, and tangential stress..

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

Cusp :: Cusp (n.) A multiple point of a curve at which two or more branches of the curve have a common tangent.

Tangent :: Tangent (a.) Touching; touching at a single poin.

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..

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

Tangential :: Tangential (a.) Of or pertaining to a tangent; in the direction of a tangent.

Subtartarean :: Subtangent (n.) The part of the axis contained between the ordinate and tangent drawn to the same point in a curve.

Stress :: Stress (n.) The force, or combination of forces, which produces a strain; force exerted in any direction or manner between contiguous bodies, or parts of bodies, and taking specific names according to its direction, or mode of action, as thrust or pressure, pull or tension, shear or tangential stress..

Asymptote :: Asymptote (n.) A line which approaches nearer to some curve than assignable distance, but, though infinitely extended, would never meet it. Asymptotes may be straight lines or curves. A rectilinear asymptote may be conceived as a tangent to the curve at an infinite distance..

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

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..

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

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