secant line

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

The projection from a point on a secant line of C yields a nodal cubic.

The following graph shows the function f in red and the last secant line in bold blue.

He felt the necessity of gaining a more firm footing, and turned towards the road by the shortest secant line.

The derivative is the value of the difference quotient as the secant lines approach the tangent line.

Compute the slopes of the secant lines between successive points: for .

A secant line on a map is a line where the projection is without distortion.

The secant lines of isograds with the surface form lines on a geologic map.

Common chord (geometry) refers to the secant line that joins the intersection points of two curves.

The same reciprocal relation exists between a point P outside the circle and the secant line joining its two points of tangency.

The last term is the difference quotient (the slope of the secant line), and taking the limit yields the derivative.

For any other point A on the circle, the secant line OA is drawn.

A secant or a secant line is the line extension of a chord.

These lines are called secant lines.

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

( is called exterior, tangent and secant line if and respectively.)

A secant line of a curve is a line that (locally) intersects two points on the curve.

In general, an algebraic curve will have infinitely many secant lines, but only finitely many bitangents.

In fact, the union of the tangent and secant lines of any non-planar smooth algebraic curve is three-dimensional.

In the graph, the x-intercept of the secant line seems to be a good approximation of the root of f.

No tangent line can be drawn through a point in the interior of a circle, since any such line must be a secant line.

The tangent and secant lines of a rational normal curve are pairwise disjoint, except at points of the curve itself.

The area of the triangle ABC is exactly three times the area bounded by the parabola and the secant line AB.

In algebraic geometry, the Zariski closure of the union of the secant lines to a projective variety is the first secant variety to .

For real-valued functions of several real variables, this holds if and only if the absolute value of the slopes of all secant lines are bounded by "K".