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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 (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..

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

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..

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

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

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..

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

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

Tangentially :: Tangentially (adv.) In the direction of a tangent.

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..

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..

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..

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

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..

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

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

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..

Envelop :: 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..

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