Secant

As a point q approaches the origin from the right, the secant line always has slope 1. As a point q approaches the origin from the left, the secant line always has slope −1.

With the TSRPC, the spectral width of the mode-locked femtosecond pulses can be tuned from 10 nm to 40 nm with a resolution of ~1.47 nm, and the spectral shape can be programmed to be hyperbolic secant or triangular.

Both the secant method and the improved formula rely on initial guesses for IRR.

Consequently, the secant lines do not approach any single slope, so the limit of the difference quotient does not exist.

For example, if two circular arcs meet at a sharp point (a vertex) then there is no uniquely defined tangent at the vertex because the limit of the progression of secant lines depends on the direction in which "point B" approaches the vertex.

Geometrically, the limit of the secant lines is the tangent line.

Hardened penetrator A secant ogive Further thinking on the subject envisions a hardened penetrator using kinetic energy to defeat the target's defenses and subsequently deliver a nuclear explosive to the buried target.

More directly, given a small change in x, the relative change in x is while the relative change in is Taking the ratio yields: : The last term is the difference quotient (the slope of the secant line), and taking the limit yields the derivative.

Notable lines The developable surface may also be either tangent or secant to the sphere or ellipsoid.

Tangent and secant lines (standard lines) are represented undistorted.

Tangent means the surface touches but does not slice through the globe; secant means the surface does slice through the globe.

The sine, tangent, and secant functions of an angle constructed geometrically in terms of a unit circle.

The tangent line is a limit of secant lines just as the derivative is a limit of difference quotients.

The word tangent comes from Latin tangens meaning "touching", since the line touches the circle of unit radius, whereas secant stems from Latin secans — "cutting" — since the line cuts the circle.

Those standard parallels may be visualized as secant lines where the cone intersects the globe—or, if the map maker chooses the same parallel twice, as the tangent line where the cone is tangent to the globe.