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- 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 - a. - Touching; touching at a single point
- 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.
- Tangental - a. - Tangential.
- Tangential - a. - Of or pertaining to a tangent; in the direction of a tangent.
- Tangentially - adv. - In the direction of a tangent.
- Cotangent - n. - The tangent of the complement of an arc or angle. See Illust. of Functions.
- 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.
- 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.
- 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.
- 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.
- Tractrix - n. - A curve such that the part of the tangent between the point of tangency and a given straight line is constant; -- so called because it was conceived as described by the motion of one end of a tangent line as the other end was drawn along the given line.
- Subtangent - n. - The part of the axis contained between the ordinate and tangent drawn to the same point in a curve.
- 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.
- 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.
- 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.
- Touch - v. t. - To be tangent to. See Tangent, a.
- Envelop - n. - A curve or surface which is tangent to each member of a system of curves or surfaces, the form and position of the members of the system being allowed to vary according to some continuous law. Thus, any curve is the envelope of its tangents.
- Semitangent - n. - The tangent of half an arc.
- 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.
- 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 - 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.
- 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.