secant line

The secant line (or simply the secant) of a curve is a straight line intersecting the curve in at least two distinct points. [The name is initially a participial form of the Latin verb secare ‘’.]

If one sets a secant e.g. to the “cubic parabola” $y=x^{3}$ through its points $(0,\\,0)$ and $(1,\\,1)$ , there is also a third common point $(-1,\\,-1)$ .

Notice that a secant line can also be tangent to the curve at some point, given that tangency is only a local property. In the following picture, $l$ is a secant line for the curve $C$ (since it intersects the curve at points $A$ and $B$ ), yet it is also a tangent line at the point $A$ .

单词	SecantLine
释义	secant line The secant line (or simply the secant) of a curve is a straight line intersecting the curve in at least two distinct points. [The name is initially a participial form of the Latin verb secare ‘’.] If one sets a secant e.g. to the “cubic parabola” $y=x^{3}$ through its points $(0,\\,0)$ and $(1,\\,1)$ , there is also a third common point $(-1,\\,-1)$ . Notice that a secant line can also be tangent to the curve at some point, given that tangency is only a local property. In the following picture, $l$ is a secant line for the curve $C$ (since it intersects the curve at points $A$ and $B$ ), yet it is also a tangent line at the point $A$ .
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