# Talk:Tangent line

From Encyclopedia of Mathematics

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- I think this article is not terribly helpful to its non-expert intended audience. What should the débutante make of "the line $MM_1$ tends to a limiting line $MT$", since the line (segment) $MM_1$ does not "tend to a line" but to to a point! This would be much better phrased in terms of directions: "if the direction of $MM_1$ converges to some fixed value however $M_1$ converges to $M$, then the line through $M$ in this direction is the
*tangent*to $L$ at $M$", something like that. I will make this change in a few days unless anyone has a better idea - I could not make out the LHS of the final displayed equation after "The equation of the tangent to a curve": it
*looks*like it is an $\mathbf{r}$ but that would not make sense, so I've used a $\mathbf{t}$ (for tangent) and made the $\lambda$ parameterisation explicit. - A desperately needed paragraph break added before the parametric description of the tangent.

--Jjg 22:04, 24 April 2012 (CEST)

**How to Cite This Entry:**

Tangent line.

*Encyclopedia of Mathematics.*URL: http://encyclopediaofmath.org/index.php?title=Tangent_line&oldid=25296